a study of mathematical activity about represention by nonverbal ways

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In new course of study,it is a direction expression with the words, the number and formula .The mathemetic concept of the number, calculation and graph is abstract, and it is difficult to express it by it.Therefore, I have developed an arithmetic studys activity that are explained and communicated with each other by a non-verbal ways. At first, I consider an issue of number andcalculation or graph to make children to think through a concrete mathemetic activity. Then, through this mathemetic activity to make children to represent their thinking. As a result by a virtual communication we had a research about this mathemetic activity communicated with each other the study of mathematical activity is an effective expression method for child, and by using this so far the mathemetic thinking-power is deep, and it is able to verificate the expression connected with the language, symbol at the next step.