ABSTRACT
This chapter discusses many common mistakes in math instruction and explains the misunderstandings behind them. After Jane had her children practice on 1-digit addition facts, she moved on to addition of 2-digit numbers. She started with one addend having a value in the lower 10s and made sure that the sum was less than 20. During the problem solving process, Jane drew a picture on the board, with the corresponding mathematical expression for solving the problem under it. The use of the pictorial representation may be limited when the addends are larger than the few easily perceivable quantities such as 1, 2, and 3. One of Jane's lessons on addition called for teaching her children how to create story problems. With young children, it is important not to inadvertently give them information with faulty reasoning in it. Many people can remember some faulty information learned at school which troubled the young mind for years to come.
