2019 Volume 25 Issue 1 Pages 49-65
The purpose of this paper is to understand how much the elementary school students of the second grade can solve through the problem which Takahashi stated in 2015. Furthermore, in order to achieve the suggestion of teaching, we also conducted lessons about the relationship between two quantities based on the representation written by children.
In this paper, the purpose was achieved through the following ３ steps. First, the examination designed from the viewpoints of precious research was held. After that, the teacher practiced the lesson based on the results of the first examination. Secondly, the second examination and the lesson were held as above.
At last, we held the final inquiry and compared the whole results through the analysis framework which composed two division, score, and level designed by the author. As for the framework, the division of score is evaluated according to the 3-grade system. We conducted three symbols, ◎, △, ×, to represent the children’s attending. The first grade, ◎ is for each correct answer. The second grade, △ is for the answer including some mistakes. The last grade, × is for no solution. The division of the level of their pictures is used to evaluate the answer according to the 4-grade system. We considered that if the solution written by children was confirmed by verbal representation and geometric representation. As the result, the successful problem solving and the effectiveness were confirmed.
