Consideration of characteristics of “Outer Angles” and teaching it

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  • 「外周角」の性質とその教材化に関する考察
  • 「 ガイシュウカク 」 ノ セイシツ ト ソノ キョウザイカ ニ カンスル コウサツ

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Abstract

For an interior angle of polygon, the author define the difference between 360°and it’s interior angle as “the outer angle”. The purpose of this study is to consider about outer angles mathematically and to develop teaching materials using outer angles. First, the author arranged 10 characteristics about outer angles - for example, in a hexagon, sum of 4 interior angles is equal to sum of other 2 outer angles. Next, the author developed teaching materials consisting of three problems using outer angles. Finally the author consider about the effectiveness of these materials.

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