ICME 8 - Topic Group 19

Presentation Summary

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This is an abstract of a presentation at The 8th International Congress on Math Education (ICME 8), July 14-21, 1996 in Seville, Spain.

A Function Teaching Material From a New Perspective of Learning

Eiichi Tukamoto Yasutetsu Gomi Kanji Akahori
Fujitsu Co. Suwanishi Public Elementary School Tokyo Institute of Technology

< Outline >

Students have had problems understanding function, compared with other mathematics areas, because of their inability to understand numerical correspondence. In addition, Japanese educational reform is progressing based on a new idea named New Perspective of Learning instead of conventional educational methods which focuses on memorization. Based on New Perspective of Learning, a new function material was developed in this study, with computer simulation and audio-visual function in multimedia.

1. A New Perspective of Learning

In Japan, educational reform is progressing which emphasizes a new, New Perspective of Learning, instead of conventional educational methods which focus of memorization. Its concrete ideas are as follows:
(1) Development of Self-Oriented Learning
Development of pupils motivation to study by themselves and their ability to aggressively react to social changes.
(2) Development of Ability to Use Information
Development of basic skills to actively select information and means to obtain information as well as skills to use information effectively.
(3) Educational Practice Based on A New Perspective of Learning
Development of pupils ability to find problems, actively think, evaluate, describe their thought, and solve the effectively problems.

2. Outline of The Function Teaching Material

From the hypothesis---pupils lack the basic ability to find two functional variables in their daily life and to understand the relationships between the variables---daily matters were chosen for the teaching material.

(1) Objectives and Characteristics Of The Material

To interest pupils in function by presenting dynamic images about the relationships of the two valuables, time and height of the surface of the water, in the area of direct proportion and linear function.
To help pupils understand relative changes of two valuables in the two dimensions (presented in the graphs), by presenting visual images of height of the surface of the water which changes in accordance with time whose change was replaced by the movement of the button in the two dimensions.

3. Evaluation

To see whether the pupils who could not understand the relative change between the two variables (time and water height), find the change of water height in accordance with time by moving the time axis with the mouse and describe the change in a graph.
To see whether the pupils who could see the correspondence of the two variables as a point, but had difficulty understand continuous change of the two variables understand that the changes make continuous lines by recording the corresponding points with the mouse.

Kanji Akahori, akahori@cradle.titech.ac.jp
Eiichi Tukamoto
Yasutetsu Gomi

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