Monday, September 22, 2014

Class Policies for High School

These are the class policies I use for junior high and high school math and science classes. They are quite brief, but effective because students perceive right away that I say what I mean and mean what I say. Being straight-forward and authentic is probably the number one key to classroom management. Educators will debate the validity of grades forever, but as long as colleges pay attention to GPAs, teachers will have to figure out a way to determine grades. The following system has worked well for me.

Duties of Responsible Students:

1. Responsible students come to class on time, with their homework and materials laid out on their desk, pencils sharpened, and ready to begin before the scheduled start of class.

2. Responsible students do everything in their power to make it as easy as possible for their classmates to concentrate and achieve.

3. Responsible students turn in work that is neat, complete and on time.

Components of Grade:

1. Classwork 40% of grade (includes quality of work completed in class and responsible behaviors during class. Giving your work your professional best effort will raise this grade. This grade starts at 100% for all students.

2. Homework 30% of grade. The grade is the number of completed assignments out of possible assignments. Unacceptable assignments will receive an “R” which means “redo within one week.” Otherwise, the grade for that assignment becomes 0.

3. Tests 20% of grade. Test are graded as a straight percentage.

4. Quizzes 10% of grade. These are generally pop quizzes. 51% or better on a pop quiz earns a P for pass. 50% or below is a “no pass.” Announced quizzes are graded as a straight percentage.

Formatting Your Work:

1. All work must be done on standard 3-ring notebook paper, or specified graph paper. Do not fold your work.

2. Pencil is acceptable for certain work done in class and for math. Products like lab reports and essays must be written in cursive using blue or black ink only. You may write your work on a word processor, however printer malfunction is not an acceptable excuse for failing to submit the assignment on time.

3. Remember to use your English skills. Even when the work is not for English class, you are still expected to indent paragraphs, maintain margins, proofread and rewrite your work as necessary to submit your best work.

4. All papers must have a proper heading as previously instructed.

Tuesday, August 5, 2014

How to Evaluate a Math Textbook

Regardless of Common Core, everybody knows that practically speaking, the textbook IS the curriculum. Therefore, it behooves textbook adoption committees to choose carefully. First, ignore the beautiful graphics. The beauty may truly be only skin deep. Reject books that teach tricks, procedures and shortcuts. Choose books that teach the profound understanding of fundamental mathematics. You do not have to read the entire book. Look especially for how the book handles the following topics:

Place value---Place value is arguably the most essential foundation stone of all future math understanding. Yet most textbooks provide only a rudimentary presentation of place value. Students are expected to do no more than name the place of a given digit or write a certain digit in a given place. The understanding of place value actually begins with counting. Make sure children name what they are counting and start with zero, “0 frogs, 1 frog, 2 frogs, 3 frogs...there are 7 frogs altogether.” Remember, place value depends on fully knowing the name of what is being counted, and not simply as part of a memorized pattern. 203 means you have counted 2 hundreds, 0 tens, 3 ones. 203 can also mean you have counted 20 tens, 3 ones. Which version is more useful depends on the context of the real life math. An early emphasis on place value helps students with later concepts such as fractions (203 thousandths), volume and area (203 cubes vs 203 squares), or the difference between like and unlike terms (3a + 2b). There are many more math concepts that depend first on naming what is being counted and understanding the significance of the name to place value.

The equal sign—An equal sign means everything around the equal sign is equal to everything else. Therefore an expression like 2 + 3 = 5 x 4 = 20 is not allowed because 2 + 3 does not equal 5 x 4. However the separator bar within the vertical format is allowed, because the separator bar does not mean equal; it is a separator bar.

Long Division---Although the idea that division is nothing but repeated subtraction is a bit oversimplified, the long division algorithm exactly depends on repeated subtraction because when you multiply within the algorithm, you are multiplying negative numbers. That is why you subtract the result of the multiplication. Look for a text that presents long division as more than memorizing the steps of the algorithm.

Multiplication and Division of Fractions---½ x 2/3 means one-half of two thirds. This example highlights the value of word problems. Word problems put math where it belongs and from where it arises, that is, math is the solving of real life problems. All math problems have a story. A page of naked problems has simply lost the stories. Suppose I have a ribbon 60 cm long. 2/3 of the ribbon is 40 cm, and half of that is 20 cm. 20 cm is 1/3 of 60 cm. Through examples like this, students can see that ½ x 2/3 = 2/6 = 1/3.

Division works the same way. Say I need to measure ¾ cup sugar and all I have is a 1/8-cup measuring cup. How many times do I need to fill my measuring cup to get ¾ cup sugar? ¾ cup divided by 1/8 cup therefore equals 6 times. (Notice again usefulness of knowing what you are counting. In this example, the answer is counting “times,” not “cups”). Texts should require kids to solve math problems by drawing pictures. When the student can reliably use a diagram to solve a problem, they are ready for the algorithm. Only at the end of the learning process should we teach the shortcuts. Math first, then shortcuts. Pictures are also the first step to proofs.

Absolute Value---Make sure absolute value is presented as distance from zero, NOT as simply a negative number turning into a positive number. A football analogy may help. If the quarterback is sacked, the ball may be 5 yards from the scrimmage line, but from the quarterback's point of view, it is still a negative 5.

Canceling---I loathe this word. Students are not “canceling.” They are simplifying a fraction. Simplifying a fraction means finding “1.” It does NOT mean crossing off numbers. Canceling leads students to lose track of the difference between “0” and “1.”

Multiplying and Dividing Decimals---Multiplying and dividing decimals has nothing to do with moving decimal points. It has everything to do with multiplying or dividing by powers of ten. 12 x 1.4 means 12 times 14 tenths. 14 tenths means 14 divided by ten, so 12 x 1.4 means [(12 times 14) divided by 10], which means 168 divided by 10, which equals 16.8. Students can tell where the decimal point goes, not by counting decimals places but by realizing the answer must be a number close to the product of the whole numbers. 12 x 1 = 12, so the answer must be close to 12. 1.68 is too small. 168 is too big. Therefore the answer is 16.8.

It is easy to confuse students by changing the problem slightly to 12 x 1.40. They will likely say they need to count 2 decimal places so the answer is 1.68. Giving them a new rule about ignoring zeroes does NOT build math understanding. Shortcuts are just that: shortcuts---and should be taught only when the student knows the actual road, not to replace the actual road.

Ignore the glitzy graphics and choose textbooks that handle all these topics well.

Tuesday, July 22, 2014

Exactly Those Contrary Ideas

Twenty years ago the late comedian Bill Hicks felt obliged to defend the blasphemous content of his stand-up routine. In so doing he said something remarkably insightful.

‘Freedom of speech’ means you support the right of people to say exactly those ideas which you do not agree with.

Hicks is right. However, it is too bad he did not actually mean what he said.

The Founding Fathers promoted Freedom of Speech because they did not want to lose their heads merely for disagreeing with the king. They wanted to be able to say exactly those ideas the king would not like. Therefore, the established the right of people to say exactly those ideas other people, especially people in power, do not agree with.

So far, so good.

The problem is that today, many people toss off the phrase “Freedom of Speech” as if it is a constitutional defense of any expression. Freedom of Speech protects ideas, especially ideas that might threaten the interests of the powerful in exploiting the weak. It was never intended to let people say (or draw, or film) anything they want.

If you cannot express your idea in a non-”blasphemous” way, perhaps your idea is not worth expressing at all.

Over time, people have gradually lost the ability and the social censure to restrain themselves. There are kids in school who seem unable to speak an obscenity-free sentence. Voltaire said, “The man of taste will read only what is good; but the statesman will permit both bad and good.” Our society seems less and less capable of producing children (and finally adults) of taste. As Paul of Tarsus wisely advised, “...fill your minds with those things that are good and that deserve praise: things that are true, noble, right, pure, lovely, and honorable.” A mind full of treasure has no room for trash.

Wednesday, June 25, 2014

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.