Addition Addition can be thought of as finding the whole when the parts are known. Place value greatly simplifies finding the sum of two numbers. To be efficient in adding, we start with the sums of numbers 1 + 1 through 9 + 9. These are best ... Read More
Dr. Cotter on Measurements
Measurement is an application of math that is an important part of everyday life. We measure length, area, volume, mass (weight), temperature, time, angles, and many other attributes. For more than simple comparisons, we need numbers and a basic ... Read More
Dr. Cotter on Manipulatives
When teaching math to a child, there are three important questions to consider: Are manipulatives necessary for teaching math? What is the purpose of manipulatives? Are some manipulatives better than others? First of all, let's define ... Read More
Dr. Cotter on Place Value
Place value is the very foundation of arithmetic. Place value packages numbers into groups of tens and tens of tens. This makes calculating large numbers similar to adding single-digit numbers: 3 + 4 is similar to 30 + 40, 300 + 400, 3000 + 4000, and ... Read More
Dr. Cotter on Counting
Most people think of counting as the foundation of math; therefore, they teach kids to memorize the long string of 100 counting words. Next, to count objects, they teach them to touch each block in turn while saying the next word in the string. After ... Read More
Dr. Cotter on Symmetry
Dr. Cotter has an article published in the Hungarian journal Symmetry: Culture and Science, Volume 34, Number 3! Her article is titled Symmetry for Children Using Drawing Board Tools and Tangrams. The abstract reads: Young children are unable to ... Read More