Archive for March, 2007

Why We Teach Math

Today’s blog comes to you from “That Math Guy” Steve Demme a.k.a. pop :-) You should also check out his new website SteveDemme.com and if you are in the Missouri area you can stop by and say hi at the St. Louis Home Educators Expo March 29-30 Steve will be speaking on Friday and Saturday.

Why We Teach Math
The motivation for studying math is to be able to apply math to real life situations. These real life applications are often referred to as word problems. To be able to solve a word problem effectively you need two skills.

1. You need to know the basic math operations
2. You need to know which operation to use in which situation.

Here is an example…

I am replacing the floor tiles in the rectangular game room, which is 15 feet long and 12 feet wide. How many 1 foot by 1 foot tiles will I need?

The first step is to discern that that this is a multiplication problem and the second step is to multiply 15 by 12 accurately. A calculator can tell you what 15 x 12 is equal to, but only a thinking human being knows to multiply those numbers and not to divide them. To know which operation to employ you must understand the underlying concept of addition, multiplication, etc.

I have presented similar problems to students who have not been trained to understand math. When presented with a word problem, they would normally respond, “What do we do Mr. Demme, add, subtract, multiply, or divide?” They knew how to perform those operations, but didn’t know which one to use. Deciding which operation or algorithm to use requires understanding math concepts and not mere rote computation.

There are schools today who recognize this dilemma and work very hard at teaching students to understand math, but then they distribute calculators to each of the students. These students have a better grasp of the concepts but are helpless to calculate the answer without a machine to assist them.
I believe both elements are essential. The ideal math student possesses a mastery of the basic operations as well as a thorough understanding of the concepts of each operation. This student knows how to multiply, and when to multiply.

In Math-U-See the video instruction is designed to enlighten teachers and students alike on the key math concepts. Then the manipulatives are employed by the student until the concept has been internalized, the light goes on, and they “See” and understand math. Hence the name Math-U-See.

The textbooks then provide plenty of practice problems to master the operations (such as learning their facts) followed by several word problems to ensure that our goal has been achieved. We all want happy, confident, effective problem solvers who know how to do math and why. We want them to be able to think and calculate.

~Steve Demme

Decimal Street (extended edition)

You know how movies (like Lord of the Rings) have special extended editions. Jenn blogged on “My Homeschool 101″ about decimal street idea and then created her own special extended edition of it.

She called it, “an extended version teaching place value to the trillions.”

Decimal Street

Decimal Street (special extended edition)

“I made blue comma cards with the names of the lakes that they use with it to teach extended place value.”

526,767,081,196

You would need a LOT of blocks to build that number :-)

If you want to make your own click here to see Jenn’s instructions.

Have any other creative ideas? comment and let us know.

A Teacher at Heart

In today’s “ Math-U-See Highlight” I would like to introduce you to another member of our Math-U-See family: Miriam Homer.

Miriam is our in-house “Arithmetic Regent.” She is the co-author of several books in the Math-U-See curriculum, she manages inventory, and is one of the friendly voices you hear if you call our office. Currently, she is working on the International editions writing problems that are specific to each country.
A typical day for Miriam begins with checking e-mails and answering questions. She then begins work on the international editing, and updating or proofreading other projects. All the while, she is also answering questions on the phone, monitoring the inventory and ordering more books when needed.

Miriam
Miriam at her desk

I asked Miriam a few questions, beginning with the most important question of all:

Ethan: “Do you like cheese?”
Miriam: “Yes,” She said smiling.
E: “What is your favorite part of work?”
M: “I’ve found helping to write the books is very rewarding, but I also like to work directly with the customers–answering questions–because I’m a teacher at heart and it gives me chance to be a teacher.”
E: “What is your previous teaching experience?”
M: “I taught at a Christian school in New Hampshire for a number of years, several different daycares and a small church school (which was essentially a one room schoolhouse). I found that materials designed for homeschoolers worked very well in that setting.”
M: “I remember as a child, thinking that writing textbooks would be an interesting thing to do. And now, that is what I am doing.”
E: “Tell our readers a little about your family.”
M: “I am married and have two grown children–a son and a daughter–and one granddaughter.”
M: “I’m definitely a doting grandmother and I have discovered that being a grandmother is a very special experience.”
Riley
Riley - with sweater by Miriam :-)
E: “What are your hobbies?”
M: “Knitting and reading. I like knitting because it’s very mathematical.”
E: “How is it mathematical?”
M: “You sew it on a graph, for one thing. You have to get your stitch gauge right and that relates the size of your needle with the size of your yarn to the size of the finished garment. A lot of the designs you make are mathematically related. I got a book for Christmas called ‘knitting nature’ which is written by a woman who was a biology major in college and ended up doing knitting designs. She knits designs that occur in nature like a hexagon spiral or a fractal. And she explains how it occurs in nature, the mathematical basis of it, and she does really funky knitting designs.”
E: “Is there anything else you would like to add?” (No pun intended)
M: “It’s been interesting to see how the different things that I’ve done in the past have prepared me to work with Steve Demme at Math-U-See. And certainly none of us saw where we were going with this.”

Well that concludes the interview, a few bit of trivia for you, Miriam is Peter’s sister and she was my homeschool evaluator when I was a young lad.

Values U See

I ran across a neat blog post today that compared Math-U-See’s teaching method with teaching values to your children.

“I can tell my kids all day long that we shouldn’t take things that don’t belong to us. But to truly KNOW that, they need to SEE me return the money when the cashier gives me too much change.”

To read the full post at the “Living in His Light blog” click here.