Abstract
In an earlier article,1 the writer raised the question whether pupils in the primary grades are able to learn the facts of arithmetic largely by their own efforts. He reported a partial answer in a description of the successes of seventy-two pupils in Grade I with a method of self-instruction for learning the forty-five easier addition and subtraction combinations. These pupils learned the combinations through the study of groups. Three methods for studying groups were employed, namely, counting groups, comparing groups, and the analysis and synthesis of groups.
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