March 12, 2019
In mathematics we can’t do much without using language. Even though the mathematician may write a mass of equations, she needs words to explain their meaning. Good math instruction requires careful attention to the terms used. We don’t want students ... Read More
February 19, 2019
The terms development or developmentally appropriate are frequently used, but finding good definitions is difficult. A dictionary defines develop as growing and becoming more mature or advanced. We see physical development in the young child. We know ... Read More
December 4, 2018
Fractions have a bad reputation in the world of arithmetic as being incomprehensible and unpredictable. Cartoons exploit this fear of fractions for amusement. Believe or not, it’s all a huge misunderstanding. Fractions are necessary and amazing. They ... Read More
November 27, 2018
Long division used to be considered the ultimate goal of arithmetic. An earlier division algorithm was so complicated it wasn’t taught until college. Even today some students learn a mnemonic in order to remember what to do next. One example is DMSB ... Read More
November 13, 2018
Multiplication has been the mathematical downfall of many children, not so much because of the algorithms, but memorizing the 100 facts. Before expecting the child to learn the facts, we need to teach the meaning of multiplication. Describing it as ... Read More
November 6, 2018
Approximately one in ten students has a learning disability. For most of them, traditional methods of teaching math are a source of frustration and failure. They find rote memorization to be nearly impossible. Memorizing counting words, then facts, ... Read More
