書誌事項
- タイトル別名
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- A Study of Teaching Materials for Inquiring into the Cause of Graphical Misrepresentaions on a Graphing Calculator : Graphical Misrepresentations in Rose Curves of Polar Equations
- グラフ デンタク ノ グラフ ゴヒョウジ ノ ゲンイン オ タンキュウスル キョウザイ ケンキュウ キョクホウテイシキ ニ オケル セイヨウ キョクセン ノ ゴヒョウジ
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The purpose of this research is to develop teaching materials for inquiring into the cause of graphical misrepresentations in rose curves of polar equations on the graphing calculator. Firstly, we surveyed the previous research about graphical misrepresentations on the graphing calculator to stimulate students' enthusiasm for learning. Secondly, we developed teaching materials that students used to explore the reason why a graph of γ=10sin100θ is displayed in the same way as a graph for γ=10sin4θ using hand-held graphing calculators. Finally, we analyzed the problem solving methods that students used to clarify potential problems with this teaching material. The following results were obtained: (1) Educational usage of graphical misrepresentations of polar equations on the graphing calculator is a new educational concept that has not been explored in previous research. (2) Students found the cause of graphical misrepresentations in connection with previous knowledge of trigonometric functions from their mathematical activities. (3) We concluded that this teaching material can be used to enhance the understanding of periodicity of trigonometric functions and the discrete nature of the graphing calculator.
収録刊行物
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- 科学教育研究
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科学教育研究 32 (1), 18-26, 2008
一般社団法人 日本科学教育学会
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詳細情報 詳細情報について
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- CRID
- 1390282680727890944
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- NII論文ID
- 110006793441
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- NII書誌ID
- AN00036978
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- ISSN
- 21885338
- 03864553
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- NDL書誌ID
- 9562877
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可