Math Help for All Students Articles

Memory and Summer Math Review

Saturday, July 26th, 2014

 

It's easy to procrastinate in the summer.

It’s easy to procrastinate in the summer.

Dear Friends, Many students believe it’s best to leave their summer math review for the end of the summer; they fear that if they do the work too early they will have forgotten the material again by September. In fact, the best way to make learning stick is to work at it consistently and review all summer long. The brain is exposed to a barrage of information every day, so how does it decide what to keep and what to forget? One big marker is repetition. The brain receives most facts only once, and because those bits of information never show up again they don’t need to be remembered.


My Favorite Free Online Resources for Last-Minute SAT Review

Friday, April 25th, 2014
a houseboat in Vancouver harbor

a houseboat in Vancouver harbor

Dear Friends,

The next SAT is just around the corner, on Saturday, May 3!

So, in case you’ve got a student who needs to do some last-minute review, I’ve complied this collection of my favorite easy-to-use, free online tools, perfect for using this weekend and through next week.


Is Your Student “Pumped Up,” or “Deflated”?

Thursday, December 12th, 2013

PTown New Years Weekend 2011 027Last week I wrote about the demonstrably positive effects of longer-term studying. Kids who begin studying several days before a test and who study consistently and to the point of mastery get high grades.

This seems like a no-brainer, right? So why don’t more kids do it?

One reason is that fear and anxiety hamper people’s ability to think straight and organize themselves. (We talk a lot about executive function issues in kids, but these are problems all people of all ages experience)

As part of his research with couples, John Gottman attached heart monitors to his subjects, and he discovered that when people become emotionally agitated, their systems “flood” with adrenaline and their heart rates elevate. A heart rate above 95 beats per minute signals that a person’s listening, planning and reasoning skills have broken down.


My Experiment Shows: Longer-Term Studying is Better

Monday, December 2nd, 2013

PTown New Years Weekend 2011 010Students typically wait until the last minute to begin studying for tests, and many parents support this practice, fearing that their kid will forget the material if they review it too early. But decades of tutoring as well as personal experience has taught me otherwise: Consistent, deliberate practice over time is the way to master material.

I have 30 tutoring students, and bunches of them go to the same schools and are in the same classes. This means that I often have multiple students taking the same test on the same day.

Recently, I was working with a number of students who were all getting ready for the same Monday algebra test (the test was being given by more than one teacher at the same school). My weekend schedule was so hectic that, in order to find enough time for everyone, I met with some students after school on the Friday before the test (my least popular time slot as you can likely imagine). The rest of the kids reviewed with me on Sunday.

This arrangement accidentally created a nice mini-experiment, with interesting results!


Does Your Student Know About Khan Academy?

Wednesday, September 11th, 2013

P7150013When I taught my SAT class this summer, I asked students to raise their hands if they used Khan Academy; only half the class had even heard of it!

Khan is a powerful, free resource for help in math, science, history, and SAT prep. Please do go to www.KhanAcademy.org and familiarize yourself with all Khan has to offer (including topics of interest to parents such as medicine, banking  and art history), and then make sure your child knows how to navigate the site.

Here are some Khan Academy highlights:


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!


 

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