To be good at Math, You must have MathBrain!
MathBrain is the ability to
- Gather accurate information from a math problem;
- Understand the relationship between numbers and numerical symbols;
- Figure out the various ways possible to solve the problem;
- Apply appropriate formula to solve the problem;
- Accurately and Speedily.
These attributes are not part of mathematics, but they are part of the necessary “infrastructure” in order to learn and do the mathematics.
1. In order for a child to process 7 + 8, the mental process requires
(i) the recognition of the numbers,
(ii) the ability to picture what these numbers quantitatively represent,
(iii & iv) logically put the two numbers together in order to arrive at a probable answer, e.g. 7 + 8=20
(this would be illogical because the answer would be too big), and finally
(v) how long it takes for the child to complete the calculation; the time required would need to be within reason.
2. What is “half of 36?” This question would not be one that a child can have a memorized answer.
This would require a child to mentally solve the problem by
(i) recognition of 36 into two parts 30 & 6,
(ii) knowing quantitatively what 30 and 6 represents,
(iii & iv) remembering these two numbers and the halves of each,
(v) to do it within a reasonable amount of time.