Positive Research on Acquisition Process of Basic Concepts in Studying Mathematics through Remote Team Teaching Method

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Regarding as the development of pupils' recognition ability about quantity and figure in studying mathematics, we have been elucidating the contents of basic concepts and the acquisition process by pupils, focusing on the elementary school mathematics, since 1999. The method consists not only of observing and recording pupils' activity for problem solving by themselves in class of cooperative schools, but also of asking teachers and pupils essential questions in remote team teaching by the video conference from Osaka Prefectural Education Center.In the third term of 1999, "Regular Polygons" and "Ratio" for fifth graders, in the first term of 2000, "Proportion" and "Multiplication of Fraction" for sixth graders, in the second term, "Area" for fourth graders, and "Proportion", "Solid" for sixth graders were executed in the schools, and observed, recorded, and analyzed in our center.The key points of the acquisition of basic concepts by pupils obtained through the observation are as follo … More ws.In "Area", there are (1) bigness and smallness comparison, (2) unit square and measurement by it, and (3) measuration by division, supplementation and transformation.In "Fraction, Ratio and Proportion", there are (1) the difference and feature between round numbers and fraction (or decimal), (2) thoroughness of view points of fraction for division and for inclusion relating to ratio, proportion, and multiple, (3) how to grasp the idea of common unit in sum (or difference) and in product (or quotient), (4) grasp of proportion by reasonable construction of segment figures, (5) systematic grasp of proportional relations by chart, expression and graph.In "Regular Polygon", there are (1) grasp of feature and character by various consideration, (2) construction by the feature, (3) difference between real measurement and logical recognition, (4) confirmation by constructible elements of figures.In "Solid", there are (1) grasp of feature and character of prism and pyramid by observation, (2) recognition of base and side face, (3) drawing development and composition of solid, (4) confirmation by constructible elements of figures. Less