Increased Reporting DOES NOT Increase Achievement

So here I am, in the land of tiger moms, where supposedly parents are highly involved in their child's education, even riding that pendulum to the other extreme. I don't see it. What I see is a lot of complaining, but little to no positive action at home.

In my school, some parents complained that if they do not know about the homework, they cannot insure its completion. So the principal decided to send a picture or description of the homework assignments to the parents' cellphones. It made no difference. Kids who regularly completed homework before the messages continued to do do. Kids who did not do their homework still do not do their homework. In fact, the parents of five of my twenty-one students admitted to doing the homework for their children. People always like to recommend more communication. Sounds good theoretically, but "communication" is not the cure-all everyone supposes. However, as the principal said, one benefit is the parents stopped calling.

Of course, I expected the students to make a note of the assignments everyday. It is not the teacher's job to tell the parents what the homework is. Parents should check their child's assignment book. If their child is not writing down the homework as instructed, parents should deal with the noncompliance at home. Schools need to stop giving already busy teachers more useless duties. Parents need to emphasize that knowing and doing the homework is the student's responsibility.

A trend over the past thirty years has been to hold the children less and less responsible for their schoolwork and put that burden on the teacher. Years ago, as long as the child was behaving not too badly, parents heard virtually nothing from the school except for the four quarterly report cards. Parents of high achieving children were fine. Parents of low achievers began complaining. They said they could do nothing at home to mitigate a failing grade if they do not know before report cards come out that their child is failing, In response to these complaints, schools started issuing mid-quarter “progress report”. It made no difference to final report cards. High achievers continued to achieve highly; low achievers continued to fail. The only discernible outcome was that teachers had double the reporting work.

Eventually, even mid-quarter reports were deemed too few and some schools began mandating weekly progress reports. It still made no difference. Schools began requiring students to purchase expensive “planners” on the dubious assumption that students were not writing down their homework assignments because they had no little notebook to record the assignments. This assumption is beyond silly, and of course, made no difference. Responsible students have always written down their assignments, long before planner became the soup du jour. Then schools began requiring teachers to post the homework online. The only apparent effect is to create more busy work for the teacher, and stop parental complaints.

Some teachers take matters into their own hands and require students to do the homework during lunch. This tactic is at least partially effective because it generally ensures the homework gets done. I do not like using the lunch hour because children need to run around and play before settling down to an afternoon of work. We invite behavior problems when we deny them this energy outlet. Furthermore, research shows that exercise increases thinking ability and concentration. I prefer to keep kids after school. I have found it to be more effective at promoting self-responsibility.

There is one major caveat: the assigned homework needs to be worth doing.

College Return on Investment

The Federal Reserve Bank of San Francisco (FRBSF) recently published their evaluation of the lifetime payoff of a college degree, concluding that college is a great investment.

We show that the value of a college degree remains high, and the average college graduate can recover the costs of attending in less than 20 years. Once the investment is paid for, it continues to pay dividends through the rest of the worker’s life, leaving college graduates with substantially higher lifetime earnings than their peers with a high school degree.

Meanwhile, Barry Ritholz, using similar data, concludes that a college education “shows a fairly poor return on investment. No wonder so many college graduates are unhappy with their student debt.”

What gives?

What is clear is that without a college education, the chance of earning the median wage is extremely low. There is really no choice in the matter. It's college or nothin' for most people. FRBSF recommends “redoubling the efforts to make college more accessible would be time and money well spent.”

We have seen this movie before. Not that long ago, people wondered if high school would payoff handsomely. It did and eventually high school for all became the publicly funded standard of the land. Everyone who graduated high school could count on a good job, decent salary and a secure future, so they said. And it was mostly true---then.

We are presently taking another turn around the same merry-go-round. Given current economic conditions and opportunities, governments might well conclude it is in the public interest to require and fund college for all. Once college for all is implemented, the Lake Wobegon fallacy comes into play. Just as with mandatory high school, reversion to the mean will occur.

Like medicinal tolerance, it takes more and more education to get the same effect. Soon, (and some people believe it is already happening), college will not be enough. It's inevitable. The pervasive assumption that if only everyone graduated from college, they could all land great jobs ignores the reality that there simply are not enough great jobs to go around for the people who think they made the investment in themselves to qualify for those jobs. And so reversion to the mean happens. The nature of average is that new data only establishes a new average for some of us to be above and some of us to be below.

Nevertheless, college for all is probably a necessary eventuality.

Websites for Kids

Parents have been asking me to recommend some websites. Out of the universe of possibilities, I have selected several worthy contenders:

RAZ-Kids: This is a leveled set of readers with quizzes. The child reads a book online and then takes a quiz. The child can go on to the next book after passing the quiz. Some of the books are audio, allowing the child to listen and follow along instead of reading alone. Many schools offer similar programs, but they all suffer from being online. Children need to read on paper, not on screens. Besides being unhealthy, screens fail to train the eyes to move properly across the page. Studies have shown that reading on screen reduces speed and comprehension. I really like the old-fashioned SRA (anybody else remember SRA?)

In fact, all online resources suffer this same shortcoming simply by being online. I strongly believe the current fascination and quick adoption of anything labeled “technology” is misguided. Nevertheless, I have collected some websites to help your child learn various subjects. I recommend limiting the amount of time children spend in front of a computer screen.

California Treasures: A comprehensive literature, grammar, and writing program popular in many schools. The main menu is here. Supporting activities are here and here. Unfortunately, some of the links do not work.

National Geographic for Kids: Lots of interesting articles in easier English.

Practice English Grammar Online:

Practice Math Online: IXL

MathABC

Adapted Mind

Math Playground

More Games

E-Learning For Kids

Some of the lessons offer a “certificate of completion” the child can print out and bring to the teacher for possible extra credit. Please monitor to ensure your child actually earns the certificate.

Science Lessons: 40 animated science lessons. Children younger than nine years old may have difficulty with the animation. Older children find it easier to make the connection between animated events and real-world events without confusion. Students can learn about the human body in the “health” section of this website: http://www.e-learningforkids.org/health/

Math Lessons: 336 Math Lessons. I just discovered these lessons online. From the same publisher as the science lessons, the goal of these lessons appears to be preparing students to maximize scores on tests, rather than maximizing understanding of math concepts. Not only is the English is slow and easy, but students can repeat any page they want as often as they want. I recommend using these lessons AFTER the child has completed the in-class concept-building lessons. In fact, I will soon use some of these lessons in a comprehensive review.

Computer Skills: This section, from the same publisher as the math and science lessons, helps children learn various computer skills on their own, such as creating a Powerpoint presentation.

Kids Health: A comprehensive resource.

The Open Door Website:

The Open Door website can be used as a online science text based on IB (International Baccalaureate) standards. The text requires reading skills. There are no audio files, but there are extensive illustrations and photos. As of 2014, the science information is quite comprehensive, but the math sections are still extremely meager. This page is an index of quizzes on many science topics. Most of the quizzes can be saved as PDF files and printed out.

The Utah Education Network has collected this nice group of interactive science activities for grades 3-6. The reading is minimal, and the instructions are mostly obvious and intuitive.

Crickweb: The nice thing about the Crickweb science pages is the simple design of each activity and the vocabulary building which will help ELLs with their regular reading.

BBC: The BBC has a number of math, English and science activities, but the audio and video require a lot of bandwidth and may require too much time too load or sometimes never finish loading. I like this interactive series about the body from the BBC (http://www.bbc.co.uk/science/humanbody/body/index_interactivebody.shtml).

For students who want to DO science experiments and activities, here is a set of websites with lots to choose from.

Science Experiments:

Science Activities:

Web Ranger

BBC

Weebly

UEN

Infographics: Sometimes Too Good to be True

There are some really intriguing infographics on the visual.ly website. However, teachers need to be careful about considering them as teaching tools. Many purported explanations are actually summaries, incomprehensible unless the students have already learned the information being presented. A great example is this infographic entitled “DNA Explained.” Take a look.

 

Explore more infographics like this one on the web's largest information design community - Visually.

 

 

 

 

It truly is a great summary of DNA and would make a wonderful final activity of a DNA unit.

Teachers should not be surprised. How could a video that lasts less than five minutes possibly “teach” a complicated topic like DNA? Believing it could is wishful thinking. Nevertheless, you may be able to find actual teaching tools you can use among the collection.

Flipping Classrooms: Back to the Future

Billed as the latest great thing in education, flipping is supposed to revolutionize classrooms by relegating routine information to video-watching homework, thus freeing up class time for more productive inquiry, discussion or other activities. However, experienced teachers know that flipping is not new, but very, very old. Teachers have always understood the value of their limited class time and have always expected students to prepare outside of class for the coming lesson. Maybe the new fascination with flipping is actually an admission that society, and therefore schools, at some point gave up expecting students to be responsible for their education.

What really happens in a flipped classroom? Again, what has always happened. The teacher moderated a productive class discussion with the five or so kids who actually read their literature passage or history chapter or whatever the night before.

A quarter century ago I ran a flipped classroom for ten years using cassette tapes. Who'd thunk I was on the leading edge of education? The thing is, I designed and implemented the system myself. Naturally, it worked wonderfully well. Nevertheless, we have all seen any number of worthwhile ideas, designed by one educator but poorly implemented by others, end up in a waste heap covered with derision. Whole language springs to mind.

As far as the idea of replacing homemade cassette tapes with homemade videos goes---well, why not? However, it has become too easy to post anything on the internet like this note-taking video. The creator says before she “flipped” her classroom, she spent hours teaching every new crop of students each year to take notes. With her videos, it only takes ten minutes now.

I looked at her note-taking video. I wouldn't recommend using it. Her routine amounts to an outline which is great, except it isn't actually an outline. I would rather simply teach outlining. Her routine is tedious, redundant and lacks logic. No wonder it takes her hours to teach it. Her printing is sloppy, and a poor model for students. And if a teacher is going to take the trouble to make a video (the basic idea of which is splendid), it should be a well-made video, not one with apologies. ("You should actually stay in the margins. Don't write outside the margins like I did.")

Of course, I support efforts to maximize the efficiency of instructional time. But let's not call “flipping” some fabulous new education technique. It is not. Great teachers have always “flipped.”

The Power of Self-Control for Children

Last month I wrote that the most powerful predictor of academic achievement is actually classroom behavior, and that one of the most effective ways parents can support their child's success at school is to train them to behave at home beginning while they are still babies. It is not true that babies are too young to learn how to behave. Parents teach babies all sorts of poor behavior, usually by rewarding bad behavior with food in a misplaced effort to redirect or quiet the baby. Parents also teach young children poor behavior by accepting incomplete obedience.

For example, I was visiting in the home with a 2 ½ year old child. The child picked up a pair of scissors. The father ordered the child to hand him the scissors. Upon the third repetition of the command, the child put the scissors down on the table. The father wisely picked up the scissors, put them back in the child's hand and ordered the child to hand him the scissors. The father did not accept the child's incomplete obedience by rationalizing that at least the child did not have the scissors anymore. No, the father made a reasonable request and accepted nothing less than complete obedience. The child will take the same attitude into school. Children who are allowed incomplete obedience will also take the attitude they have learned into school. It should be easy to see which child is likely to be more successful in school.

I am not advising that parents be tyrants. I am advising that parent say what they mean and mean what they say. Another word for this is consistency. Recently, I discovered that Pulitzer prize author Charles Duhigg says essentially the same thing in his 2012 book,“The Power of Habit: Why We Do What We Do in Life and Business.”

At the core of that education is an intense focus on an all-important habit: willpower. Dozens of studies show that willpower is the single most important keystone habit for individual success. In a 2005 study, for instance, researchers from the University of Pennsylvania analyzed 164 eighth-grade students, measuring their IQs and other factors, including how much willpower the students demonstrated, as measured by tests of their self-discipline.

An excellent synonym for willpower is self control. Another one is conscientiousness. It should not be necessary to point out that conscientious, self-controlled schoolchildren behave well in school. Nor should we be surprised that classroom behavior robustly predicts present and future success.

Students who exerted high levels of willpower were more likely to earn higher grades in their classes and gain admission into more selective schools. They had fewer absences and spent less time watching television and more hours on homework. “Highly self-disciplined adolescents outperformed their more impulsive peers on every academic-performance variable,” the researchers wrote. “Self-discipline predicted academic performance more robustly than did IQ. Self-discipline also predicted which students would improve their grades over the course of the school year, whereas IQ did not.… Self-discipline has a bigger effect on academic performance than does intellectual talent.”

Roy Baumeister, author of “Willpower: Rediscovering the Greatest Human Strength,”has studied self-control extensively and offers some excellent tips for helping your child increase self-control. One of the most intriguing things Dr. Baumeister found was that a dose of glucose instantly improves self-control.

Our work on self-control (or self-regulation) centers on the idea that self-control relies on a limited energy source. A single act of self-control consumes this energy source, and later acts of self-control are impaired as a result. Findings in our lab on sexual restraint, aggression, intellectual reasoning, emotional coping, and thought suppression support this pattern. Moreover, recent work suggests that part of the energy source of self-control is glucose. Attempts at self-control deplete glucose that is needed for later attempts at self-control.

Therefore, as incredible as it may sound, the first thing parents need to do is make sure that kids get a good breakfast before they go to school. Then, find ways to let children practice using a little will power every day. Practicing makes willpower stronger in every area of life. Practice has at least two positive effects. First, practice creates habits. Good habits, by definition, do not require willpower. One way is to help children build habits through daily routines. As just one example among many, do not have a school night bedtime different from a weekend bedtime. Bedtime should be the same every night. Second, habits become a default response requiring less willpower to implement.

The Surprising Secret to Academic Achievement

Over the years parents have often asked me how they can support their child's academic performance at home. Until very recently, I gave all the standard answers. However, after pondering many years of observations, I have concluded that if I could pick ONE THING parents can do to support success, it would be to insist their children behave at home. I see scholastic problems developing at a very young age, even in the high chair. As just one example among innumerable similar examples, I know just such a family with a baby in a high chair. The parents say they want the child to sit down in the high chair while they feed him. The baby wants to stand up in the high chair and turn around. Although the parents tell the baby to sit down, they do not insist on compliance. In fact, they will follow the baby to the back of the chair and give him a spoonful of food. Naturally, the food reward reinforces the very behavior they would like to extinguish. It all starts from lack of consistency. When parents issue a directive, they must accept only complete compliance, not something less. Otherwise children take this same attitude into school where it becomes the number one source of academic difficulties, manifested by attempts to lower the teacher's bar and find shortcuts which substitute for real learning.

The hard truth no one wants to accept is that the most fundamental difference between high achievers and low-achievers (barring physical challenges) is classroom behavior. Every teacher knows the “good” kids tend to do well, and the disruptive kids do not. Our society does not countenance such a bald idea, so teachers couch it in terms like “does his best, “participates well," “cooperates with others,” etc. If researchers were brave enough to ask the right question, behavior would probably surpass every other variable in predicting academic achievement, even to the extent of overcoming the negative impacts of poverty. And do not worry. A loving insistence on compliance with parental directives is not “controlling”or“authoritarian,”nor will it stunt your child's creativity or critical thinking skills.

Nevertheless, beyond saying what you mean and meaning what you say, all the good advice still applies:

Adequate nutrition and sleep.

Provide a special place to do homework.

Set a regular time for homework and remove distractions.

Make sure homework is completed.

Make sure your child has a special place to record homework assignments.

Have plenty of reading material at home and encourage recreational reading.

Show that you value reading.

Turn off the TV.

Limit or eliminate video-game playing and cell phone use.

Help your child learn to use the internet properly.

Involve your child in day-to-day problem solving while shopping or completing household tasks.

Monitor after-school activities such as music lesson or sports teams. If the child is not doing the homework, reduce after-school activities. Perhaps ask the teacher to send a report home evey home every Friday.

Focus on the child's personal progress and improvement, not on test scores. Test scores that are too high are worthless. It means the test was too easy. Teacher, parent and student learn nothing useful from such a score. Better to level up the test than shoot for high scores which can make everyone feel good, but nothing more.

Double check with the teacher before hiring a tutor. Especially in math, tutors typically teach tricks for getting answers on homework, but do very little to help the child learn the concepts or acquire number sense. Teaching the child tricks can undermine the teacher's effort to provide a quality education.

Establish routines

Establish rules. Every home needs reasonable rules that children know and can depend on. Have your child help you to set rules, then make sure that you enforce the rules consistently.

Make it clear to your child that he has to take responsibility for what he does, both at home and at school. For example, don't automatically defend your child if his teacher tells you that he is often late to class or is disruptive when he is in class. Ask for his side of the story. If a charge is true, let him take the consequences.

Work with your child to develop a reasonable, consistent schedule of jobs to do around the house. List them on a calendar. Younger children can help set the table or put away their toys and clothes. Older children can help prepare meals and clean up afterwards.

Show your child how to break a job down into small steps, then to do the job one step at a time. This works for everything—getting dressed, cleaning a room or doing a big homework assignment.

Make your child responsible for getting ready to go to school each morning—getting up on time, making sure that he has everything he needs for the school day and so forth. If necessary, make a checklist to help him remember what he has to do.

Monitor what your child does after school, in the evenings and on weekends. If you can't be there when your child gets home, give her the responsibility of checking in with you by phone to discuss her plans.

PBS has some suggestions for parents.

No matter how hard you try, your child may struggle academically at some point in his school career. Here are some strategies to help you both cope when the going gets tough.

Let your kids get frustrated. When kids are having a hard time with homework or a school-related subject, they often explode with anger. And parents wonder “What did I do wrong?” “You didn’t necessarily do anything,” advises Michael Thompson, Ph.D. “Sometimes when kids feel misunderstood at school or frustrated by a subject, they get angry or provoke the parent — as a way of making you feel as helpless or angry as they feel. It’s almost like your child is saying, ‘would you hold my hopelessness for a while?’ Or ‘I need you to feel what I am going through, so I am going to make you angry.’”

Take a break. If your child says “I can’t do it!” and throws the pencil down, take a little break. Maybe she needs to rant and blow off a little steam. Come back in five minutes and start fresh. (Those five minutes could save you an hour of struggle.) This also gives a child a chance to “save face” and start over, without even discussing the previous difficulty or outburst.

Don’t always try to have a rational conversation. When kids get very upset about school, the upset may get in the way of their being rational. So wait it out instead of arguing or grilling children about the situation. Once they cool down, you might be able to talk it through.

Let your child make his own mistakes. It’s hard not to correct a child’s homework, but most teachers ask you not to take over unless your child asks for your help or the teacher requests it. Teachers generally want to know what the child understands, not what the parent understands about the material.

Put a time limit on the work. Most teachers will not expect younger kids to work longer than a half-hour on homework from any particular subject, but ask your teacher for a time limit. If your child struggles (while actively trying) and exceeds the limit, write the teacher a note explaining that was all that could get done.

Contact the school. If homework or a project is turning into a dreaded battle, talk with the school. Do not wait for your next conference. It is obviously time for some new insights and new strategies.

Help your child learn how to organize himself. This is a life-long skill that can be taught, but it can be challenging to do so. However you can help your child discover the organizational tricks that will work for him by sharing some of your own. “It’s very difficult to teach children to be organized if it is not in their nature (or yours),” says guidance counselor Linda Lendman, M.S.W. “Encourage your child to label everything. Develop strategies, like the ‘must-do list’ before you leave school (put math book in backpack). Schedule a weekly ‘clean out the backpack and clean off your desk’ time so papers don’t build up. Be patient, and try not to place blame.”

Recognize that school work will never be conflict-free. No one ever raised a child without a homework battle. “There is no conflict-free homework strategy for most kids,” says Michael Thompson, Ph.D. “At times, kids will find it fun and fascinating. Other times, it may be something they just have to do, and you have to help them find the structure for getting it done.”

The Issue is NOT Algebra 2—The Issue is First-Grade Math

A novelist writing for Harpers believes students should not be required to study Algebra 2. The fact that students "are forced, repeatedly, to stare at hairy, square-rooted, polynomialed horseradish clumps of mute symbology that irritates them, that stop them in their tracks, that they can't understand." is not an argument against Algebra 2. It is an argument against the ineffective math foundations instruction occurring in the primary grades.

I mentor two first-year teachers. One just gave her second graders a page of double-digit subtraction with regrouping, and all of them scored 100%. She concluded her students already "understand" subtraction. I replied, "The only thing you learned from that is they all memorized the step-by-step blind procedure and can execute it. You have no idea if they actually understand the math." We often teach non-math shortcuts and call it math. As an article from the New Yorker points out, "These shortcuts aren’t a faster way of doing the math; they’re a way of skipping the math altogether."

Our school system continually tells students who are successful with non-math that they are good at math, and then wonder why these same students struggle with real math. The situation is even worse for students who never mastered the blind procedures in the first place.

Our biggest problem is that our elementary math teachers understand only non-math themselves, as Liping Ma documented in her now famous book, Knowing and Teaching Elementary Mathematics. A review of the literature shows that our elementary teachers lack what Ms. Ma calls “a profound understanding of mathematical foundations.” The first step needs to be the development of skilled math teachers at the critical elementary level.

BTW High Regard Correlates with High Achievement

Peter Gow argues that the one feature we commonly dismiss with an airy “by the way” is the one feature all the school systems we admire share---high regard for the teaching profession.

"If you have an entire nation that regards education--and learning--as respectable, as an end in itself and whose practitioners are doing something not just noble and worthy but truly valued (and compensated to reflect that), it's not a big surprise when students in that society perform well in school; they're doing what their whole society--from parents to peers to adults in all stations and walks of life--believes is important, something that really matters. No wonder so many other nations out-score the great mass of American students, living as ours do in a society where anti-intellectualism is a long understood cultural trend."

I bolded this quote because it implies that education reform can never be more than band-aid fads until the whole society reforms. It has been one of my recurring themes.

Our society does not really believe our kids can achieve (http://schoolcrossing.blogspot.com/2008/05/problem-of-gratuitous-self-esteem-in.html). In fact, our society, at its depths, disdains high achievers, no matter high much we say we want to raise achievement. Tamara Fisher has documented the lack of regard, nay ridicule, high achievers suffer from their classmates.

The US could create uniformly high quality schools for ALL children if we wanted to. But we do not want to. The US could nationalize the tax base (as Japan did), but we will not because wealthy parents complain that they will not finance the education of poor kids. There are a number of other steps we could take, but each one becomes a silly partisan political football in the US. It took decades for society to create the education system we have whether we like it or not. Society must find the will---and NOW.

The Relationship Between Memorized Facts and Online Research

In China, many people believe that the Tiananmen incident is a fabrication perpetrated by Western governments in order to discredit the Chinese government. Exhibit A: Last year the people of Hong Kong objected to the new history booklet, The China Model, for among other offenses, failing to mention either Tiananmen or the Cultural Revolution. The people suffer from a lack of access to information, so they do not know anything.

Those with free access to information suffer from inundation. It can be difficult to separate the valid from the specious, so they also end up knowing nothing. A case in point is the issue of illegal immigrants. Hardly anyone knows anything about it, and they will not sit still for real information. They would rather cherish their misinformation because it feeds their own political beliefs.*

Meanwhile, educators lament the tendency of students to conduct “research” using the internet, and draw completely erroneous conclusions because they lack online research skills.

The problem I see is that education often swings to extremes. In the past, there was an emphasis on memorizing facts: math facts, historical dates, science info, etc. The backlash maintained that students do not need to learn facts, that a proper education means teaching students how and where to find the facts the need. Facts-No Facts is yet another example of a polarizing false dichotomy that has resulted in the lamentable situation where many students are not learning facts, nor how to find facts. The most useful approach amalgamates the poles. Students need a treasury of pre-learned facts they can sift through to find relevant search terms for online research.

*For example, many people are certain that illegal immigrants can receive Social Security benefits even though they have paid nothing into the program and pay no income tax. Let's break that down into three parts:
1. Illegal immigrants can receive Social Security benefits---False. Anyone without a valid social security number cannot receive benefits. Such people do not even have a record on file with the Social Security Administration from which benefits could calculated.
2. Illegal immigrants have paid nothing into the US Social Security system---False. Nearly all illegal immigrants have jobs. That was the whole point of coming to the US illegally in the first place. Many work several jobs at a time. Their employers prepare W-2 forms using a false social security number usually provided by OMG, the employer. The employer also withholds the Social Security and Medicare contributions and sends the money to the IRS on a quarterly basis. Since the illegal immigrant can never collect Social Security Benefits, their contribution help fund the benefits of US citizens.
3. Illegal immigrants pay no income tax---False. The IRS uses your social security number as your IRS account number. If you do not have a valid social security number, the IRS will assign you an account number, called an ITIN. (However, be aware there are many reasons besides being illegal why a person might need an ITIN. Do not jump to conclusions). First, the illegal immigrant pays a flat tax of 7% comprised of FICA which they will never collect in the form of benefits. Second, they pay higher income taxes than most US citizens, because without a valid social security number, they do not qualify for many tax credits, the biggest one being the earned income credit (EIC). Third, they usually end up paying the IRS a hefty balance due because the same employer who gave them the false social security number also filled out the W-4 for them, and withheld only the most minimal income tax.

If you do not believe any of the foregoing, print it out, take it to the nearest neighborhood tax preparer, and ask them. Most have received ITIN training and prepared tax returns for illegal immigrants.

When Caring Trumps Even Excellence

A teacher in Memphis describes her efforts to make a substantial difference in the lives of students who live in poverty. Surprisingly and appallingly, some respondents criticize and dismiss her efforts as “self-righteous” and riding a “high horse.” One suggested the teacher should “get down into the dirt,” completely unaware the teacher had previously taught in classrooms with actual dirt floors. The main point of the Memphis teacher still stands. An excellent teacher who cares can make all the difference. I would only amend her main point to say that the teacher does not even have to be all that excellent, as long as the teacher cares. I am the case in point.

I began my teaching career in a poor urban junior high, oh my, decades ago. That first year I was far from excellent and I credit those kids with training me to be an effective teacher. If Casie is an effective teacher, she should be able to wear that badge, not suffer naysayers attempting to dismiss her abilities and experience. The key truly is "When students recognize that a teacher is genuinely interested in their present and future, a desire to learn emerges."

Genuine care for my students was about all I had going for me that first year. Together we forged relationships. I learned how to teach; they learned to have hope and optimism. In the beginning, one boy said, "Why should I bother studying? My father is a janitor, and that is all I will ever be." At the end, he regained the ability to dream and work toward making his dream a reality. I give my students all the credit. All I did was give them the tools and the chance. Some were able to maneuver around their obstacles. For others, either the motivation was too little or the obstacles too great.

Now decades later, the obstacles of poverty and the injustices persist. However, there is no way I will denigrate my positive influence or my students' successes. Of course we must fight to eliminate injustice, but in the meantime we must meet our students where they are, and help them deal with their present circumstances and prepare them to make a brighter future.

Student Centered or Abdication?

Currently on the education forums there are some proponents of extreme student centered instruction. They insist all our education problems stem from the fact the we adults have the temerity to think we have the right, responsibility and authority to decide for kids what they need to learn. They insist if we adopt an extreme “student-centered” approach, the result will be a well-educated, critically-thinking populace. However, the extreme approach can degenerate the otherwise excellent idea of student-centered instruction into a rationale for transferring adult responsibility onto children.

At its core, student centered instruction focuses on the learning needs of students.

Student-centered teaching methods shift the focus of activity from the teacher to the learners. These methods include active learning, in which students solve problems, answer questions, formulate questions of their own, discuss, explain, debate, or brainstorm during class; cooperative learning, in which students work in teams on problems and projects under conditions that assure both positive interdependence and individual accountability; and inductive teaching and learning, in which students are first presented with challenges (questions or problems) and learn the course material in the context of addressing the challenges. Inductive methods include inquiry-based learning, case-based instruction, problem-based learning, project-based learning, discovery learning, and just-in-time teaching. Student-centered methods have repeatedly been shown to be superior to the traditional teacher-centered approach to instruction, a conclusion that applies whether the assessed outcome is short-term mastery, long-term retention, or depth of understanding of course material, acquisition of critical thinking or creative problem-solving skills, formation of positive attitudes toward the subject being taught, or level of confidence in knowledge or skills.

Student-centered means teachers listen carefully during instruction and throughout the day. They listen to find out what students are interested in, and they have the flexibility to modify lesson plans to take advantage of those teachable moments. Teachers listen in order to offer interesting and meaningful choices to students. At no point should student-centered instruction put kids completely in charge of their learning. Children simply are not qualified to decide what they need to learn. They do not have the requisite wisdom. Even college kids, who although since the Vietnam War are legally adults, do not have the wisdom. If they did, college math students would never complain, “We don't want to know why the math works. Just tell us how to get the answer.”

One proponent of extreme student centeredness maintains that because every child is unique, “the concept of a singular list of "what kids need to know" is an absurdity.” The conclusion does not follow from the premise. Maybe every child is unique, but the tasks they must be able to accomplish to get along in the world as adults are not unique. Would anyone seriously argue that kids do not need to know how to read, communicate effectively, add, subtract, multiply, divide, work with fractions, understand current events in light of past history, and make a living?

Where do we draw the line between what kids need to know and what is optional? And if we do not give kids a shot at all fields of knowledge (because we adults have abdicated responsibility), how will they ever discover their passion? The gospel of extreme student-centeredness is not feasible in the long term.

If given their head, too many kids would choose mediocrity. And what would the proponents of extreme student centeredness do about the poor choices of students? Do we write them off with a flippant platitude, “they made their bed; let them lie in it”? History tells us if students make bad choices, it is society (and taxpayers) who will bear the consequences. That is simply an unconscionable burden to put on a naive child.

Silly Charter School Debate

I am becoming more and more weary of silly education debates. A case in point is the ongoing criticism of most charter school studies.

First, jumping from a study confined to KIPP to charter schools in general is quite the over-generalization (sorry for the tautology).

Second, if the charter school outperforms their neighborhood traditional school, parents who can, will naturally choose the charter school. Silly to criticize parents for a perfectly rational decision.

Third, everyone agrees that parent involvement is key. To criticize a charter for requiring parental involvement is also silly. (My only beef is the over-rigidity of some charters. I once tried to enroll my children in a certain charter while I worked in a boarding school. The local traditional school did not want my high-achieving kids. Of course, I could have enrolled them anyway, but why would I want to force a school to take them. That sounds like a recipe for disaster. The charter required every parent to volunteer one day per week, which of course, I could not do. I offered a number of service alternatives, all of which were rejected. The school lost exactly the type of involved parent they hoped to attract).

Fourth, if charter schools use their freedom to act to pursue policies they hope will improve academic achievement, it is useless to criticize charter schools for their success in raising academic achievement.

Most criticism of charter schools boils down to, “if charter schools were just like traditional schools, they would be just like traditional schools.” Beyond silly. In the case of lottery-determined enrollment we should expect lottery winners to outperform lottery losers. After all, out-performance is precisely the hope that motivated parents to apply in the first place. To call the out-performance “contaminated,” a word with strong negative connotation, belies quite a negative bias. We should not put charters in a damned-if-you-do-and-damned-if-you-don't position. If a particular charter tries an experiment and fails, it is silly to criticize charters in general. If a particular charter succeeds, it is silly to dismiss their achievement as non-comparable.

We should applaud successful charters, especially those who operate in low SES areas. It is counterproductive to dismiss the strong performance of any particular charter school. It would be far better for traditional schools to make themselves worthy to be parents' school of choice as they were when I was a kid (gosh over half a century ago). Finally, if we teachers cannot conduct our public education discussions with more logic and less bias, how do we hope to be able to teach our students critical thinking? The problem is succinctly represented by a comment from a teacher in an EdWeek article about charter schools, "Obviously as a public school teacher, I do feel a bias against charter schools." Why should a public school obviously be biased against charter schools just because you are a public school teacher? If we are critical thinkers able to teach critical thinking to students, we should know how to evaluate a question on its merits, regardless of our own personal status. I challenge you to put aside everything the union is telling you, and do your own INDEPENDENT research, which is, of course, the hallmark of critical thinking.

Common Core—Cart Before Horse

“You know the Tasmanians, who never committed adultery are now extinct.” ----W. Somerset Maugham

Reading over most of the back and forth on common core feels like a massive waste of time. The subtext seems to be that we need common core to raise academic achievement. Those against common core point to poverty as the real issue, and lament handing out a lucrative opportunity to those poised to profit. Those for common core point out that high-achieving countries have common core. However, as we all know, correlation is not causation.

You might as well call for more chocolate in schools. After all, the higher a country's chocolate consumption, the more Nobel laureates it spawns per capita, according to a now famous study. I suggest that although it is true that high-performing countries have national standards, those standards are more a function of the political culture than a thoughtful education decision. The US education system was once upon a time world-class long before common core was a twinkle in someones' eye. I personally benefited from the education panic that ensued after Sputnik, when school districts all over the US implemented many wonderful curricular programs without bothering to worry about whether there were national standards.

The problem with common core is not the idea of a nationally agreed upon set of learning objectives. I have worked with so many predetermined sets of objectives, standards, curriculum, whatever, that long ago I learned quality teaching does not depend on them. So go ahead, approve and publish a common core. It will make no difference.

What irks me is that proponents seem to believe that teachers NEED a written set of standards in order to teach well. Or that administrators NEED a written set of standards to give orders to supposedly autonomous professional practitioners with professional judgment. The very push for common core is a national admission that either our teachers are not competent professionals (regardless of certification), or that we believe our teachers are not competent professionals.

Recent articles on Ed Week lend support to the notion that the real problem is not lack of standards, but teacher quality. One teacher writes that the standards improved her practice. Great, but she should not have needed the standards to chide her into implementing the improvements she writes about. She should have done it on her own long before.

And why do teachers “see interdisciplinary opportunities” in common core, as if they never saw them before? Good teachers make cross-curricular connections every day, like this teacher:

As an English teacher, I have taught units on Jacksonian Democracy, math vocabulary, map skills, Jane Goodall and her experience with apes, the Holocaust, the scientific revolution during the Victorian Era...I could go on and on. Each of these units tied to elements from my students' math, science, and social studies classes.

If common core will push mediocre teachers in the right direction, wonderful. Only let us not pretend that it is the common core that improved the teaching quality. The fact is common core is causing a number of teachers angst as they “grapple with” how to implement common core in an environment of little or no guidance. For example,

“In some states and districts, little or no guidance is being offered on the issue for teachers, leaving them to grapple with achieving the right balance of fiction and nonfiction on their own.

Are teachers really wringing their hands and waiting to be told how to put together a great program for their classroom? Apparently they are. They seem to need someone to rewrite the comprehension questions for their basal texts as if they cannot do it themselves.

Not long ago, we wrote about a project to revamp the teacher questions in the country's most popular basal readers. The idea, as you might recall, was to use the existing basal readers—since most districts and states can't cough up the cash for new ones just now—but rewrite the questions so they reflect the expectations of the Common Core State Standards. Many of the questions that the basals suggest for teachers, they noticed, don't actually require students to read the text passages. They solicit students' feelings, or their unsupported opinions. The aim of rewriting the questions was to make them "text dependent"—one of the biggest areas of emphasis in the English/language arts standards—so that students have to grapple with the text in order to supply a solid answer.

For heaven's sake, just simply be a great teacher, common core or no common core. If the questions in your basal text are poorly written, I hope you wrote your own questions long ago, common core or no common core. Good teachers already have. Personally, a road map for every year (we used to call it scope and sequence) is a good thing. I got so sick of my own children studying the Salem witch trials year in and year out. I make my own academic road map for every grade and every subject. I call it my year plan wherein I map the content I want to cover to a calendar. I may allot more time for one content area than another. I mean I do not mindlessly divide the number of book chapters by the number of school weeks. I actually think about content.

Sometimes I get tired of reinventing the wheel all the time. If the states adopt a multi-year plan (call it Common Core if you want), I would take it as my skeleton and modify it as I wish to provide my students with the best quality education I can provide. The US already has a sort of de facto common core. Just look at which textbooks have been widely adopted around the country. For many teachers, the curriculum IS the textbook the administration gives them. Standards generally beget curriculum, just as state standards have done. Depending on your viewpoint, this may or may not be a good thing. Curriculum begets textbook content. For many teachers, curriculum is nothing more than the table of contents in their textbook. Their curriculum was the table of contents before common core, and will be the table of contents after common core is adopted. I really do not expect there will be any changes in the classrooms. The table of contents have never had any power to encourage effective teaching.

Besides the prescriptive assumptions behind common core, a comment by one "MGN" succinctly stated the problem with standards

Standards, for the most part, are not the problem. The problems are a) confusing standards with curriculum; b) coercing states to adopt standards to get Federal funding; c) mandating high-stakes testing based on those standards; d) using test results to evaluate the effectiveness of teachers, principals, schools, or districts; and most especially e) awarding high-value contracts for testing, test grading, or textbooks to anyone who directly or indirectly helped to create those standards.

So, Fine, go ahead and publish a common core. Just do not expect it to make a difference in the absence of a cadre of highly qualified teachers.

College for All Destined to Disappoint

When comparing the education systems of different countries,simply comparing test scores such as PISA or NAEP (or whatever) gives insufficient information to draw conclusions or set policy, but not for the reasons commonly cited. It is not that Norway has a smaller population, or that Japan's system is centrally managed, or whether a society is “homogenous,” or the tested population is comprised of “the best students.” The first step to comparing and evaluating different education systems is to understand the goals of the system.

For example, the goals of the Japanese education system are crystal clear and common knowledge. The main goal is for students to pass the university entrance examination. Passing does not mean exceeding some predetermined cut-off score. It means avoiding elimination. If there are openings in a particular university for, say, 3000 freshman, and 3050 apply, the test eliminates the lowest 50 applicants. The test score of the 51st applicant may be abysmally low, but it will still be a “passing” score. More typically, there may be 3000 slots, but 30,000 applicants. Passing scores will need to be very high, often around 95% correct on a test much harder than any SAT.

In America, ask a hundred people what the goals of the education system are, and it is like playing Family Feud. There is no real consensus. Society cannot decide what outcomes education should produce. Looking to Japan (or Norway or anywhere) as a model is unhelpful in such an environment. Nevertheless, we should ask whether the system is meeting its own stated goals. In America, with such nebulous goals, the question is hard to answer.

With Japan, the question is easy to state. Do Japanese students in academic high schools pass university entrance exams? First, we must understand there are three mutually exclusive high school systems. The students of two of the systems, vocational, and commercial, have no intention of taking university entrance exams. The students of the third system, the academic high school, are in the academic high schools precisely because they want to go to college. The only measure of learning that counts in Japan is the national university entrance examination.

By this measure, the Japanese marvel that American think the Japanese system is so great. It is true that when certain non-randomizing conditions are controlled, the Japanese still excel Americans on international studies of student achievement. By their own intra-country standards, they worry that so few students succeed. In a typical case, one year 309 students graduated from the Japanese academic high school where I worked. Of these 309 students only 93 thought themselves ready for the entrance exams and applied. Of those 93 only five passed. 304 students chose to continue studying for the entrance exams, attend a less-selective private university, or go to work. Of those who continued to study, only seventeen eventually passed the entrance exam. Thus 287 (or 93%) had to settle for less ambitious life goals.

The results indicate that even though Japanese students are learning, the Japanese education system fails to meet its express goals. The conundrum is that success would actually be a societal disaster. If entrance exams were a matter of exceeding a cut-off score, the universities would be swamped. Secondly, if all these university students graduated, they would expect to attain jobs commensurate with their education. Society does not have enough such jobs. No society does. No matter what the ideals, no society can absorb the success such ideals desire. Not Japan and not America and not anywhere. America's ideal of college for all is destined to disappoint.

The Success of Substitutes...

...is the school administration's responsibility. Fact is, if first-year teachers have to sink or swim, the waters are even more dangerous for subs. However, administrators are not there with the life-saving buoy for their first years,and they are even less there for subs. So subs need to help themselves.

We Teach Our Students to Misbehave...

… and then complain when they do exactly as we expect. A certain student came home from school reporting on a substitute teacher the class did not like. She began her report by asking me, “Doesn't a teacher have to let a student go to the bathroom if it is an emergency?” I did not answer; I asked what happened. The class in question took place after just after lunch. A girl came in, saw there was a sub, and began “dancing” near the classroom door. The teacher asked her to sit down. She continued to loudly make a scene. The teacher continued to ask her to sit down. The girl never did sit down, and continued to interrupt as the teacher tried to finish taking role. Then the teacher let her go.

After she left, several members of the class began asking the teacher out loud, “Why didn't you let her go? You have to let people go to the bathroom. What if it's an emergency?” The teacher explained that he would have let her go a lot sooner if she had just sat done when she was asked and allowed him to finish taking attendance.

Typical of many classes with a sub, there was a video which the teacher showed using the TV monitor. The students demanded out loud that the teacher put the video on the powerpoint projector instead of the TV monitor. The teacher refused. The students insisted their regular teacher always puts videos on the powerpoint projector. The teacher still refused. (an aside: students are really spoiled by all the technology available in classrooms these days. When I started teaching, we handed out purple, smelly mimeographs and showed filmstrips on a reel-to-reel. Some people reading this post may not have any idea what I am talking about. LOL)

My little friend came home complaining about what a mean teacher the substitute was. I guess she expected me to commiserate, and she was thoroughly astonished that I had an entirely different take on the incident. I told her the fault was with the students, not the the sub. First, the girl created a public scene when she could have walked respectfully to the teacher and quietly made her request. But no. She engaged in melodramatic, loud theatrics and essentially set a trap for the sub. She probably did not have to go to the bathroom at all.

Second, the students thought it was okay to question the teacher's response out loud, but worse, the teacher thought he had to answer their objections. Third, the students whined about the powerpoint projector. I told my young friend that no sub with a speck of common sense will do anything just because the students say the teacher does it. That is exactly the way to guarantee a whole period of one piece of nonsense after another. My little friend thought that perhaps her teacher forgot to write the part about the powerpoint projector in the lesson plans she left. Maybe so, I said, but the class will just have to do without, and they should never have been disrespectful to the sub about it.

She countered, “If we like the sub, we behave.” Wrong answer. Students behave because they are expected to behave whether they like the sub or not. Students have not the power, responsibility or authority to decide that they will behave “if we like the sub.” Liking the sub is irrelevant. Shame on our society for even giving such a wrong-headed notion any positive attention.

Then my little friend asked, “But what if the sub doesn't like kids?” What was she really saying, that kids have the right to punish a sub they decide does not like them? Wrong again. It is irrelevant whether “the sub likes kids” or not. Students are expected to behave, period. The problem in our society is that students did not get these wrong-headed ideas from nowhere. They have been socialized to them their whole lives. As a society, we do not really expect students to behave, the obligatory first day “expectations” lectures notwithstanding. In fact, I would suggest if we are still giving these first-day lectures to students older than about ten, both students and teachers have already conceded that students are expected to misbehave, regardless of our actual words. Furthermore, maybe we need to think a lot more deeply about what we mean by “student-centered.” In addition, there is tremendous pressure on teachers to avoid sending unruly students to the office.

As a junior high and high school teacher, I also gave the first-day lecture. I told the students I was doing so because I knew they were expecting one. I told them they had heard all the same expectations every first day since kindergarten, and now that they are secondary students, they get to hear the same expectations multiple times in one day. I listed the expectations anyway “on the off-chance there is even one person here who has not heard them,” and I explained the consequences of misbehavior. Faddish and wrong implementation of “democratic discipline” models leads to specious student “empowerment.” (Oh, I do hate buzzwords).

Up until this point, the students have basically tuned out what they have already judged to be merely a stricter sounding version of the usual first-day yadayada. But then, they all perk up when I say, “Here's the catch. There are no warnings. You guys are way too old for childish warnings. And I don't do second chances, and I do not negotiate.” About the third day, a student (usually a boy) will test me. I apply the consequence immediately and shut down the inevitable attempt to negotiate. Normally, I have no more problems during the year, because the thing is, students actually know how to behave. They just need teachers who genuinely expect them to. It is the Pygmalion Effect. When I had laryngitis while teaching in a school for "troubled" (read: disruptive) students, I learned that the students really do know how to behave. I learned to raise my expectations instead of my voice.

Japanese and Chinese students have a reputation for being well-behaved. I directly observed that overall, the expectation that students will behave is a Japanese societal given that does not require an annual review. Interestingly, a study found that “Chinese teachers appear less punitive and aggressive than do those in Israel or Australia and more inclusive and supportive of students’ voices,” and this in a country stereotyped to be just the opposite.

If you doubt that we encourage the very misbehavior we decry, check out this actual example from curriculum purporting to teach “critical thinking.” Really gotta watch for that “invisible curriculum.”

Do Not Use Baby Talk to Teach Math

Number sense is like a mighty oak rooted in the subconscious. Beginning in infancy, it is little more than a humble acorn. Misconceptions are weeds that also root in the subconscious and stunt the acorn's growth. The language we use to express number sense can nurture the acorn or plant the seeds of misconceptions. The resulting weeds are pulled only with great difficulty.

The baby talk some teachers use to teach addition can plant misconceptions that prevent students from properly developing the concept of mixed numbers. We should never, ever say, “2 and 3 makes 5.” Even a good quality text like Singapore Math talks baby talk, but that is because something was lost in the translation to English. We should say properly, “2 plus 3 equals 5.” Children are perfectly capable of learning correct language, and it saves them the trouble of unlearning it later. After all, we do not expect them to say “2 and 3 makes 5” forever. We expect them to transition to adult math expressions sooner or later.

So what is wrong with “and” anyway?

AND means something mathematically, and it is not “plus.” For example, 2½ does not mean 2 + ½. You do not believe me? How about -2½? Does that mean -2 + ½? Of course not, but that is not obvious to kids. The mixed number -2½ means “minus 2 and ½,” not “minus 2 plus ½.” more technically, it means “minus 2 and minus 1/2” or -(2 + ½). Subtracting a mixed number is often the child's first exposure to the distributive property, however I have never seen a textbook make it clear. Instead, we routinely plant misconceptions and then wonder why kids sometimes have so much difficulty with math.

It is not all that hard to teach either, especially if using money to illustrate. “If I have three dollars, and I spend two and a half dollars, how much do I left left?” I spent 2 dollars AND I spent ½ dollar. A seventh grade teacher mentioned in this blog the difficulty his own students were having.

I saw this post about a week after it appeared, and so I was prepared to prove MY 7th grade pre-algebra students would not make such mistakes. Equation-solving did them in, with this as a solution: -5¼ + 2½ = -3¾. I had previously showed them how illogical such a thing was, and how it didn't make "number sense", yet the method error persisted.

Break it out the way students do, and the thinking error emerges: -5 + ¼ + 2 + ½ = -3 + ¾ = -3¾. Our long custom of misrepresenting “plus” as “and” has led them to the idea that all you have to do is take out the plus sign and shove the fraction up against the whole number. If it is already shoved together, pull it apart, put the plus sign back in, and voila! The problem is solvable.

Because the root of the misconception is in the subconscious, even if they get some number sense training and even understand the training, they will fail to see the error of their thinking, and so the error persists. The teacher will probably have to name this misconception directly and explain to students how they were mis-taught in the past. They may then be able to pull it into their conscious mind and deal with it.

Decimal numbers might help. 37.2 is not “thirty-seven point two.” It is “thirty-seven AND two- tenths.” The function of the decimal point and the meaning of “and” is to differentiate the wholes from the part, whether in decimal numbers or mixed numbers (which brings me to another pet peeve. It is not that we are “converting” from decimal numbers to mixed numbers. Both forms are essentially the same: a whole number with a fraction). The decimal point does NOT mean “perform the operation of addition.”

AND is a mathematical operation called “union.” The performance of AND yields a result similar to addition only when the sets contain entirely discreet members. Otherwise, the result of the AND operation is a smaller number than the result of ADD. It used to be that AND (and OR) could be tough to teach. Nowadays, with Internet searches, lots of kids readily understand that search terms with OR between them will get you a bazillion, mostly useless hits, while search terms with AND between them will get you a smaller number of hits than each search term alone. Set theory using sets of hits makes sense, and a great way to exploit technology such that technology actually increases learning, instead of being the usual monumental distraction.

True, Authentic, Real Life Math Problem of an Eighth Grader

A certain student had recently missed much of the first quarter, so her band teacher did not count those weeks when figuring the credit for the weekly practice logs. Therefore, the student had only five weeks worth of practice log grades for the quarter whereas her classmates had ten weeks worth. She got 100% for each of the first three weeks she was back. When her report card came, she was shocked that she had a C. She thought she had an A in the bag.

Looking back at her practice log grades, she saw 100, 100, 100, 70, 0. “I forgot to turn in last week's practice log,” she explained. BUT, she knew how to figure averages, and when she did, she got 74%. “Ah, so there's the C,” she said.

Then she asked me, “How many minutes will I have to practice to bring my grade back to an A by next week?” True to form, I irritated her by telling her to figure it out. A real life math problem was staring her in the face. She had been wondering if there was such a thing as a real life math problem. “How do I do that?” she wailed. I told her to think about what she already knows and what she needs to know.

Her train of reasoning: One more week means I will have six total weeks of practice log grades. To average 100%, I will need 600 total minutes. I have 370 minutes. So I need 230 more minutes. I will need to practice 230 minutes this week. (An aside: I wonder if my teacher will give credit for so many minutes in one week). My practice log is due on Friday, so I have six days to practice 230 minutes.

So far, so good, but then her reasoning began to go awry. She divided 230 by 60, and got 5.5 on a calculator. She did not question the result. We need to teach students to determine the neighborhood of the result before doing any actual computation. I do not like to call this process “estimation,” because almost all kids have reduced estimation to mere rounding, and nothing more. Most kids tolerate estimation lessons at school, but basically tune them out because they have been socialized to value answer-getting techniques. Estimation does not, in their minds, yield “answers.”

(Now I have to explain that during this whole process, I was busy with my own work, so I was only seeing pieces intermittently, as she showed them to me. She showed me the calculator with the 5.5 in the display, which at this point was all I knew. I reconstructed her train of reasoning later from her comments).

I asked, “What does 5.5 mean?” She said, “5 hours and 50 minutes.” Remember, this student has all As in math, but as I have explained before, much of math in schools is misnamed. It is really non-math, but since schools call it math, students believe it is math, and if they get good grades in non-math, they believe they are good at math.

I probed, “How did you get that?” She looked at me like, well duh, isn't it obvious and said a little too loudly, “5.5 is 5 hours and 50 minutes.” Then turning away, she poked something into her calculator.

“How do I round this?” she asked. The display showed 0.9166666.

“You have asked the question wrong. No one can answer your question the way you asked it. You need to specify what place you want to round it to.”

“The thousandth's place. So 0.917.”

“That's right. But what are you counting?”

She pondered a moment and wrote 0.92.

“And what is that?” “Minutes,” she said, and wrote 92.

“How did you get that?”

“I need minutes, so I moved the decimal point.”

“'I moved the decimal point' is never a mathematical explanation for anything. You need to give a mathematical reason for the math you do. What did you do to get 0.92 in the first place?”

“I divided 5.5 by 6 to get the number of minutes I need to practice everyday. 0.92 minutes doesn't make sense so I need to move the decimal to get a number that makes sense.” (With this kind of reasoning, is it any wonder our students are so poor at math? And if they use the same faulty reasoning for any of life's other problems, no wonder decision-making ability is also poor. When they become adults, they are easily scammed by poor reasoning that sounds good to them).

She has three main problems:

1. Using disembodied numbers

Teachers have allowed her and her classmates to disembody numbers since first grade. What I mean is students have been trained to compute with only the numbers and attach the units to the result later. When students do that, they attach the unit they want, not the unit their computation produces. What she should have done is written 5.5 hours = 0.92 hours/day. Her unit was “hours/day.” However, since she was looking for minutes, she did the math the way so many students (and adults) do: 5.5/6 = 0.92 minutes.

2. Mixing bases

She did not realize that decimals numbers are base 10, and clock numbers are NOT base 10. I set up some place value columns for decimal numbers, and another set of columns for clock numbers. Then we did some counting so that she could see how numbers end up in the columns they do. First, we counted decimally, that is, in base ten. Then we counted time. As our paper time clock ticked over 59 in the minutes column to 1 in the hour column and 0 in the minutes column, she exclaimed, “Oh, base 60, like the Incas.” She could tell me that 0.5 = 50/100 = 50%, but still insisted that 5.5 hours = 5 hours and 50 minutes. She realized that she was looking for 50% of 60 minutes, but insisted she should divide 50% by 60. Eventually, understanding dawned. She realized that since 50% means half, then half of an hour is 30 minutes, so 5.5 hours means 5 hours 30 minutes. (My own work had come to a complete standstill long before). “So 'of' means multiply, right?”

3. Misunderstanding “Decimal Number”

She thinks, like so many kids do, that a decimal number is a number with a decimal point. Just take out the decimal point and presto, changeo, it is not a decimal number anymore. What else do we expect when we teach kids tricks,shortcuts and blind procedures,and call this strange conglomerate "math?"

In quite East Asian style, we had spent over an hour on this one problem. Eventually, she determined that (leaving aside the original calculator error), she actually had gotten her answer way back at 0.92 hours/day. She realized that the math had “spoken” to her if she had only thought about it correctly. What the math said was that she would need to practice a little less than an hour a day. She never noticed the calculator error, and I did not point it out.

Epilogue:

She practiced 60 minutes (in 30 minute increments) three days in a row. Then it occurred to her that if she practiced 60 minutes per day for 6 days, her total would be 360 minutes, not the 240 minutes she was expecting. She has not practiced for two days, but plans to practice 60 minutes on the sixth day. She got a real-life lesson in checking the math by plugging the solution back into the original problem, a step her teacher requires, but she resents as a time waster. We talked about that maybe her teacher really does have some wisdom in her requirements. She also admitted that her goal is to do the minimum necessary to secure an A. Excellence and doing one's best is just adult yadayada. At least her bar is set at A.

Tricks and Shortcuts vs. Mathematics

The issue is not whether algebra should be taught in the eighth grade or later. The issue is not whether local schools should be able to make their own textbook adoption decisions. The issue is about how easily states make big changes based on flimsy research which asks the wrong questions, only to backtrack later because solutions that solve the wrong problem do not work. California reverted to phonics in 1995 after abandoning it for a faulty implementation of whole language based on research that answered some questions, but not the questions that matter.

The emphasis on algebra in the eighth grade is misplaced when even students with good math grades enter algebra weak in math concepts. I am working with an A student now who is solving for x in problems involving mixed numbers. She wrote these "computations:" 2 + ¼ = 2¼, 3 + (- ¾) = 3-¾, and -2 + ½ = -2½. Do you see the pattern? In her mind, numbers are disembodied entities with no real meaning. She thinks all she has to do is take out the plus sign and push the fraction up against the whole number.

These silly errors happen in an education system where children have been taught tricks and shortcuts since first grade. The problem is teachers call tricks and shortcuts "math," and when children do well on a test of tricks and shortcuts, they learn their good grade is proof they understand math. Actually the grade proves only that they can reliably implement tricks and shortcuts.

I have worked with children who have terrible math anxiety because they do not do well with the tricks and shortcuts. Some part of their mind has rejected the tricks and shortcuts as not making sense, so "math" does not make sense. If they ever get a chance to acquire true number sense, then they find out they are good at math after all.

Sometimes we reward unthinking compliance (as when kids memorize the tricks and shortcuts) and punish the thinkers for whom the tricks and shortcuts do not make mathematical sense.

American Education is NOT Failing....

...In fact, it accomplishes its hidden curriculum perfectly, according to Danjo1987, who hits several out of the park his first day up to bat on EdWeek forums. hllnwlz wound up the pitch and effectively makes many of the same points.

If you have been following this blog, you know that last year I am the "parent" (from the school's point of view) for a particular child who is now an eighth grader. My kids are grown; still it has been instructive to observe her schoolwork and communicate with a school as a savvy teacher/parent. I have been reminded once again that schools really do not like interacting with savvy parents. When schools say they want parent involvement, what they usually mean is they want parents to bake cupcakes once in a while and make sure the student does the homework everyday. More than that, and you are stigmatized as a "helicopter parent."

Overall, the girl's teachers seem to be competent;a couple strike me as excellent. There is one teacher I simply cannot fathom. On the midterm progress report, this teacher gave this straight-A student a citizenship grade of "N" for "excessive absences" during a medical leave. Upon her return to class, she took a "diagnostic" test and got a "D." This is the student's only grade for the class, and the grade teacher put on the progress report. (The other teachers gave her "I" for incomplete).

For the past five weeks, apparently this teacher has done nothing gradable in class. At the close of the term last Friday, there was only one grade in the online system the school uses: that "D." The student's grade on the report card? C-. I am about to intervene.

Meanwhile, in her other classes, she often brings home homework that astound me with the easiness and triviality of it. I see the kind of homework I used to get as a second or third grader. For example, she has to write a little essay about a short story they read in English class. The first assignment is to analyze the writing prompt, write down the verbs that tell what the student is to do, etc. In eighth grade? And the requirements for the regular notebook checks are beyond ridiculous, but the school feels if they do not force the students to organize, none of them will. Apparently, they did not learn how to collect and organize their work in elementary school. The only reason she writes both her first and last name on papers is because I insisted she write a complete heading on each paper whether the teacher required it or not. "But I am the only one with my name," she complained. Does not matter.

What I see is a disjointed and inconsistent system characterized by low expectations, even as the adults give inordinate emphasis to test scores.

Wrong Questions About Spreadsheet Math

Spreadsheets are a ubiquitous and necessary tool these days. Students need to learn spreadsheet math.

"Our children still spend hundreds of hours perfecting their ability to add, subtract, multiply, and divide fractions. And the pinnacle of math for most of our K-12 students remains the ability to solve quadratic equations. When was the last time you used any of these skills? When did you last multiply two three-digit numbers together on paper, add two improper fractions with unlike denominators, or solve a quadratic equation?"

These are the questions people asked when it came to calculator use, and they are still the wrong questions. Spreadsheet math will not replace the ability to actually understand math any more than calculators did.

When the National Council of Teachers of Mathematics (NCTM) recommended calculators for even the youngest students, they rhapsodized about about how calculators would revolutionize math teaching, using the same sort of language that idealizes the potential of spreadsheet math.

"By teaching our children spreadsheet math we enable them to solve ...fascinating problems, problems without a single right answer, problems that can be explored, problems that get our children thinking "out of the box."

And that was exactly the wrong-headed pie-in-the-sky rationale for recommending calculators. It sounds great but does not work in practice. The problem with math instruction is not whether we should be using calculators or spreadsheets. The problem is the lack of skilled math teachers. The problem is the continued reliance on teaching tricks and shortcuts instead of math. Like calculators, spreadsheets have a similar tendency to replace thinking.

Beginning in 2001, I researched the calculator fallacy extensively culminating in a 78-page report in 2010. Briefly, I found that the research NCTM insisted supported the use of calculator in the early grades did not exist.

I agree that students need to learn spreadsheets, but not as a substitute for learning math. Since our elementary teachers lack an ability to teach math for understanding, abundant experience with mechanical processes, though far from ideal, is pretty much the only way kids learn to tell an unreasonable answer from a reasonable one, and even then they are not very good at it.

Just last week, a friend's eighth grade daughter (A+ in math per last progress report) was sure that if $27.50 could buy 10 lbs of hamburger, then $55.00 would buy over 150 lbs because "I followed all the steps correctly." When I told her that obviously she had not, she argued that even the calculator agreed with her, so I must be the wrong one. Just yesterday she insisted that -3 + ½ = -3½ (by analogy to 2 + ½ = 2½). In her mind, all you have to do is get rid of the plus sign and shove the fraction up against the whole number. When these kinds of misconceptions plague even good students, no wonder students who are not as “good” have math anxiety. Deep down, the anxiety is related to an unspoken and unspeakable suspicion that math makes no sense. They are right. When math is turned into a system of tricks and shortcuts, it makes no sense.

Surprise! Kids Value Rote Learning...

Surprise! Kids Value Rote Learning...

...just not when they are the one expected to memorize knowledge. Have you ever had a child ask you a question that require a memorized fact to answer? It happened to me recently. We were listening to a CD of classical music that had no printed table of contents. With nearly every piece, the (junior high) child asked, “Who wrote that?” Luckily, I can google the answer. She became exasperated with my lack of certainty and my need to look up so many of the composers. She asked impatiently, “Didn't you have to study music history when you were in school?”

Me: Yes, I did.

Her: Then how come you don't know who wrote all these songs?

Me: Do you like history class?

Her: NO, I hate it.

Me: Why?

Her: Because we have to memorize so many dates and other trivia.

Me: I guess you will start applying more gusto to your memorization.

Her: Why would I do that?

Me: Because clearly you think that memorizing facts is an important part of your education.

Her: Nooo. Whatever gave you that idea?

Me: Because you think it was an important part of my education.

Her: I never said that!

Me: But you clearly expect me to remember music composers off the top of my head better than I do. How would I have learned that information in the first place, except by memorizing it as facts? And you expect me to still remember it? Don't you think you should hold yourself to the same expectation?

Her: Well, of course.

Me: So I guess you won't groan anymore when teachers expect you to memorize stuff.

Her: Who said I minded memorizing stuff?

Me: Whatever.

Her: Hey, that's my line.

In Case of Nothing to Do, Break Glass...

...and then sweep up broken glass.

Americans have hopes and ideals for public education. As David Sirota explains,

Here in the industrialized world’s most economically unequal nation, public education is still held up as the great equalizer — if not of outcome, then of opportunity. Schools are expected to be machines that overcome poverty, low wages, urban decay and budget cuts while somehow singlehandedly leveling the playing field for the next generation. And if they don’t fully level the playing field, they are at least supposed to act as a counter-force against both racial and economic inequality.

The American ideal is that public education is supposed to be not only the engine of the American Dream, but also the primary mechanism for overcoming the social-economic obstacles of birth. Meanwhile, public educators consistently cite the poverty of their students as the number one reason public education fails to perform its promise. So, public education is supposed to give poor students the tools they need to overcome poverty, but public education cannot give them these tools because the students are poor. Teachers say education reform proposals that fail to address poverty are doomed to fail. We are trapped in a vicious circle. In such an environment, no wonder policy-makers, most of whom lack education experience, feel pressured to do something---anything. Education policies thus tend to be a perpetual cycle of creating and cleaning up messes.

And no wonder. Policy makers lack expertise themselves, so they turn to advice from those who seem to have proper credentials. Who do they ask? Education professors. Sounds reasonable, but guess what? Many education professors lack significant in-the-trenches experience in the very places teachers must implement policies handed down from on high. American society does not trust teachers. The main reason for the lack of trust is the double-mindedness of society. Sometimes we consider teachers to be professionals, and then undermine their professional judgment when we consider them hired laborers subject to dismissal for insubordination. We steadfastly refuse to put teachers at the head of the policy table even though, as Nancy Flanagan puts it, the teachers know where the carts are.

If we want to invest in a highly skilled teaching force, perhaps it's time to stop positioning teachers as drop-in observers who should be grateful for the chance to "represent" their peers in important decision-making bodies...Teachers should be at the head of the table, calling the meeting. The more professional responsibilities we take off teachers' plates, to standardize and homogenize, the more teachers' professional judgment is weakened.

Teachers should not be the target of reform, but the drivers. Right now, teachers are lucky if they can stand outside the door and listen at the keyhole.

At the start of the Obama presidency, when the Department of Education had lots of openings, the administration solicited applications. Many teachers applied. It turned that the administration was only interested in perpetuating more of the same, not ushering the change we all hoped for. Any PhD, especially a well-published PhD, whether they have actual significant experience or not, trumped highly effective, veteran teachers every time. Perhaps the number one disappointment educators have with the Obama administration is the refusal to listen to real teachers. They do not listen because they do not trust. They do not trust because our present policies prevent recruitment from among the most academically able students.

Teaching is not a top job choice, but a last resort. I routinely ask my education students why they want to be teachers. The answers are underwhelming. My top two favorite answers because they indicate the status of teachers in America: “I flunked out of hotel management,” and “It is either teaching or the Army.” In such an environment, it is difficult for the American public to accord teachers the respect and esteem they enjoy in other countries. Meanwhile, administrators break the glass and expect teachers to clean up the mess.

Smart People (You and Me) are Stupid

A recent provocative article from the New Yorker begins:

Here’s a simple arithmetic question: A bat and ball cost a dollar and ten cents. The bat costs a dollar more than the ball. How much does the ball cost? The vast majority of people respond quickly and confidently, insisting the ball costs ten cents. This answer is both obvious and wrong. (The correct answer is five cents for the ball and a dollar and five cents for the bat.)

Or try this one:

West and his colleagues began by giving four hundred and eighty-two undergraduates a questionnaire featuring a variety of classic bias problems. Here’s a example: In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake? Your first response is probably to take a shortcut, and to divide the final answer by half. That leads you to twenty-four days. But that’s wrong. The correct solution is forty-seven days.

Our first mistake is to assume the human beings are rational. We should start from the premise that human beings are lazy (Yes, I am talking about you, and I am talking about me).

When people face an uncertain situation, they don’t carefully evaluate the information or look up relevant statistics. Instead, their decisions depend on a long list of mental shortcuts, which often lead them to make foolish decisions. These shortcuts aren’t a faster way of doing the math; they’re a way of skipping the math altogether. Asked about the bat and the ball, we forget our arithmetic lessons and instead default to the answer that requires the least mental effort.

My son calls it the “slacker syndrome.” The first step to learning to make good decisions is to humbly acknowledge that deep down we are all slackers. The smarter we are, the more stupidly we decide, like the super-smart guy who thinks everyone else is an idiot, but HE can time the stock market.

...smarter people are more vulnerable to these thinking errors...intelligence seems to make things worse. The scientists gave the students four measures of “cognitive sophistication.” As they report in the paper, all four of the measures showed positive correlations, “indicating that more cognitively sophisticated participants showed larger bias blind spots.”....

Okay, now that I know I am prone to this weakness (maybe the next time a job interviewer asks me about my number one weakness, I should admit that I am stupid....hmmm...maybe not), I can use this new-found self awareness to avoid it in the future. Think again.

...“people who were aware of their own biases were not better able to overcome them.”...

Even worse, we all tend to think of ourselves more highly than we ought.

Perhaps our most dangerous bias is that we naturally assume that everyone else is more susceptible to thinking errors, a tendency known as the “bias blind spot.” This “meta-bias” is rooted in our ability to spot systematic mistakes in the decisions of others—we excel at noticing the flaws of friends—and inability to spot those same mistakes in ourselves.

Wow, that sounds like a modern version of old advise from Jesus.

"Why do you look at the speck of sawdust in your brother's eye and pay no attention to the plank in your own eye?” (Matthew 7:4)

Education and self-awareness do not work because the meta-cognition is not available.

The problem with this introspective approach is that the driving forces behind biases—the root causes of our irrationality—are largely unconscious, which means they remain invisible to self-analysis and impermeable to intelligence.

Therefore we are doomed to live in a Zen paradox.

The more we attempt to know ourselves, the less we actually understand.

Nevertheless, I cannot help but feel education and self-awareness of our biases must be better than ignorance. At least, we can learn to be more tolerant and forgiving of others.