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Bulletin of the Faculty of Education, Wakayama University. Educational science 69
2019-02-08 発行

Advanced materials for high school mathematics and their background : periods of Fibonacci sequences modulo m

高等学校数学における発展的学習の考察とその背景 : フィボナッチ数列の剰余の周期について
KITAYAMA, Hidetaka Faculty of Education 和歌山大学研究者総覧
MATSUYAMA, Tomoko
SHIOMI, Daisuke Yamagata University
FullText File
AN00257966.69.67.pdf 1.2 MB
DOI
10.19002/AN00257966.69.67
About This Article
Language
jpn
Start Page
67
End Page
74
Abstract
平成30年に公示された高等学校学習指導要領では，「数学的に考える資質・能力を育成する上で，数学的な見方・考え方を働かせた数学的活動を通して学習を展開すること」が特に重視されている。しかし，生徒の興味や能力に応じた適切なテーマを選ぶことは，教員にとっても難しいことであると思われる。そこで，本稿では，意欲的な高校生を想定し，そのような数学的活動の一例として，フィボナッチ数列に関するある問題を紹介し，規則の分からない未知の数学的事象をどのように観察して一般規則を数学的に表現するかというプロセスに焦点を当てて，数学的活動の実例を考察する。
Text Version
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AN00257966.69.67.pdf 1.2 MB
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