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







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