Abstract

A number of studies have indicated that considerable variation exists among teachers in their understanding of basic mathematical concepts.1 In addition, the mean teacher level of such understanding as evaluated by these investigator has been stated as being undesirably low. In such studies as the foregoing it has been assumed that good teacher understanding of basic mathematical concepts would be necessary in order to promote satisfactory pupil growth in arithmetic, but evidence of an objective nature to either support or refute such an assumption has not been readily available. Evidence has also been lacking concerning possible differences between the gain in achievement by pupils of different levels of intelligence as related to their teacher's understanding of basic mathematical concepts.

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