Math Help for All Students Articles

The Right Way to do Math Homework (or Chemistry, Physics, Statistics, etc…)

Monday, March 18th, 2013

P1070041The reason math teachers assign homework is to give students the practice necessary for entrenching new concepts and skills in the brain.

Math homework is necessary for the same reason practicing the piano is necessary: it’s one thing to “get” what the teacher taught during the lesson, but it’s another thing to be able to perform that same skill independently and fluently.

Yet, all too many students practice math incorrectly, and they therefore gain little benefit, or even worse, they solidify misunderstandings and bad habits.

Practice doesn’t necessarily make perfect, but enough practice does make permanent, which is why guitar teachers, ski instructors, and golf pros are all such sticklers for proper form; they know how hard it is to unlearn errors that have become ingrained.

Many students will do a whole page of math and never check their answers. How do they know they were doing the right procedures? (Answer: They don’t.)

Or, students check their answers after completing the entire assignment, and only then discover that their answers don’t match up with those in the back of the book. In both such cases students tend to declare: Oh, well, the teacher will go over it in class tomorrow.

But in each of these scenarios, the student has now thoroughly practiced BEING WRONG.

Here’s the right way to do math (or math-related) homework:

  1. Locate the answer key. If it’s in the back of the textbook, insert a bookmark or Post-it note for easy back-and-forth flipping.
  2. Do the first problem.
  3. Check it on the answer key.
  4. If you were correct, move on to the next problem.
  5. If you were incorrect, figure out what you did wrong before you move on.
  6. Check your arithmetic; did you make a careless mistake?
  7. If you realize you don’t understand how to do the problem, go to your notebook or your textbook and page through until you find the topic and carefully follow the explanation.
  8. Still stumped? You can get help on www.KhanAcademy.org. Or, ask a friend or parent or sibling for help.
  9. Only as a last resort, put a star next to the problem and make sure and ask the teacher for help tomorrow.
  10. Proceed to …

Follow Along with My SAT Class for Free

Monday, February 4th, 2013

I’ve been teaching an SAT preparation class at one of my local community colleges.

It’s my third time teaching this class, and I’m finally feeling like I’m getting the curriculum shaped into a form I like a lot.

I’m trying to create something more than just an SAT class:  I blend in research-based study tips, plus I’m trying to get my students embarked on some good habits that they’ll need to succeed in college and in life:

  • Studying with focus (which includes doing without cellphone and music)
  • Studying consistently, over time (not cramming the day before the test)
  • Keeping a Study Journal so as to plan, track progress, and stay motivated
  • Practicing by writing (annotating, working math problems on paper) not by just looking over one’s notes (a very ineffective method)
  • Quizzing and testing oneself as a study method, as well as to assess progress (good old-fashioned flash cards are a great learning method, because the brain learns best with quizzing and repetition).

After each class, I’ve been posting on my website my outline, notes and assignments.

I’ve also inserted links to many useful and free online videos, worksheets and interactive practice. My students use these posts for review or to catch up if they miss a class, and…

Anyone who wants to follow along at home each week is welcome to access all of these materials and use them as a FREE do-it-yourself SAT prep class!

We’ve had two classes so far (there will be six in all):

Session One (January 26)

Session Two (February 2)

I will post notes for the remaining classes after I teach them, on the following dates: Feb 9, 16, 23 and March 2.  Just go to my website, www.LeighCousins.com, click on the “Tests” page, and visit the purple box.

A student who follows my notes and does the work ought to be well-prepared for the March 9 SAT or any other SAT this year. (Make sure and register soon for the March 9 exam!)

It would thrill me to have any or all of you …

Better Math Instruction, Fewer Learning Issues?

Monday, January 2nd, 2012

I’m hoping that as math instruction improves and becomes more “brain-friendly,” we’ll see fewer kids struggling in math.

When I was in my doctoral program, I was amazed at some of the research coming out on kids’ understanding of math concepts. We assume that children all learn pretty much the same math at roughly the same ages, and that they learn these concepts in math class.

In fact, there’s a wide natural variation, and not necessarily a lot of correlation between the math kids are taught in school and the math they actually know.

Wonderful Word Problems

Thursday, November 17th, 2011

[I'm going to devote my Thursday blog posts to the topic of All Things Academic: reading, writing, 'rithmetic and the other school subjects.]

Last week I said that I see value in having kids (and all learners) memorize a certain amount of factual information.

I also said that I’m not a fan of rote memorization of multiplication “facts.” Kids should also be learning when and how to apply all of the four operations to various situations.

Khan Videos for ADHD? and for Everyone

Monday, November 7th, 2011

[I'm going to try devoting my Monday blog posts to the topic of Learners with Special Needs, which, I find, describes us all in some way or another.]

I’m so impressed with the Khan Academy videos, and I’ve been experimenting with ways to use them with my students….and with myself!

Dealing With My Own Math Anxiety

Wednesday, October 26th, 2011

Do math tutors ever suffer math anxiety?

I do, sometimes, when I know I’m going to have to teach a topic that lies at the outer boundary of my own expertise.

So, yes, I am feeling anxious right now, because this afternoon I’m going to have to help a student with some pretty sophisticated trigonometry (including those dreaded “ferris wheel” problems). It’s stuff I don’t do every day…and it’s hard!

Here’s how I’m coping:

Don’t Be Afraid to Help Your Child with Schoolwork

Thursday, September 22nd, 2011

I just finished doing a talk at one of my local libraries, called Tons of Tips to Help Your Child Learn Better!

My favorite tip is the simplest: HELP THEM.

It’s pretty amazing how parents hesitate to just sit down next to their child and offer some basic assistance. It’s usually for one of two reasons:

Stressed Students and This Common Math Mistake

Monday, January 10th, 2011

The most common math error I see is the “dropped” negative sign.

The problem calls for a -3, and the kid copies down a 3. Or they calculate an answer of -14 but they only write down the 14.

I expect to see this when kids are first learning algebra; I attribute it to the heightened demands on their attention that all those new algebra rules impose. The negative signs are like cell phones or car keys; little but important things that get left behind in the shuffle.

Why Do We Have to Learn This Stuff?

Sunday, January 9th, 2011

Students ask me this all the time, usually in reference to some especially tedious math lesson.

And for years and years I worked hard to come up with sound explanations for WHY we need algebra, WHY chemistry is important, etc, etc…

Kids would listen and then look dissatisfied.

One day the lightbulb went on for me: I’m answering the wrong question!

Is SAT Prep Harmful, or Helpful?

Tuesday, December 7th, 2010

Test preparation is big business these days, and I’m part of it.

I’ve been prepping kids for the SAT, ACT, PSAT, SSAT, ISEE and other tests, for decades now.

Is test prep a plus? Or does it do more harm than good?

In my opinion, it depends on how the preparation is done.

Is the goal merely to achieve a higher score? One common approach is to teach tricks and shortcuts, which supposedly produces higher scores quickly. JenBee wrote about how harmful this sort of coaching was for her:

 

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