Friday, August 10, 2018

Young Children and Subtraction


This post is a continuation of my post on teaching math to young children here.

Chapter 6 of Kamii’s book (Young Children Reinvent Arithmetic) talks about the difficulty young children have with subtraction.  She points out that many math textbooks introduce subtraction shortly after the introduction of addition to 5 or 6-year-olds, however subtraction involves thinking negatively about quantities—or thinking about the absence of a quantity, which is difficult for children at this age.  Experiments that she describes in the chapter show that until age 7 many children have a difficult time thinking about amounts negatively, and consequently subtraction is a pretty complicated operation for them.  The exception, to this rule, is in word problems.

When children are given word problems, they often will use addition to solve a subtraction problem in their head.  Word problems give more meaning to the concept of subtraction and so many 5 and 6-year-olds can figure them out without instruction—and even those who don’t will benefit from the mental process of trying occasionally.

Kamii also points out that as children become very good at addition and are able to immediately give answers to addition problems such as 5 + 5 or 6 + 1, they become able to easily give the answers to the corresponding subtraction problems (10 – 5 and 7 – 1).  So rehearsing addition problems through games seems to be a good way to build in children an ability to subtract mentally as well.

My take-ways from all of this:
For Finn’s Kindergarten and First grade years, II will focus on the teaching of addition through games and present him with word problems that represent both addition and subtraction, but I will not expect him to solve written subtraction problems yet.

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