Permalink : https://repository.center.wakayama-u.ac.jp/3492
Top > Bulletin of the Faculty of Education, Wakayama University. Educational science > 69
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 researchmap
MATSUYAMA, Tomoko
SHIOMI, Daisuke Yamagata University
FullText File
AN00257966.69.67.pdf 1.2 MB
Self 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
publisher
AN00257966.69.67.pdf 1.2 MB
Other Article
A study on secondary disability with students who has developmental disabilities : Qualitative Analysis through interviews with the resource room teachers
PP. 1 - 6
Current Status and Issues Relating to the Teaching of Subjects in the Special Needs School for Students with Intellectual Disabilities. : An Interview Survey
PP. 7 - 11
A Survey of work-activities and job training,career guidance in the special schools for high school students with intellectual disabilities
PP. 13 - 20
Emotional and behavioral issues and their changes in students with developmental disabilities at the special school
PP. 21 - 26
The Relations of Mothers’ Parenting Attitudes toward Pre-kindergarten Children, Social Support, and Self-evaluation : from a Viewpoint of Attachment Building
PP. 27 - 34
The Relationships between Expec tation and Cognitive Charac teristics for Teachers of Junior High School Students, Their Cognitive Charac teristics, and Academic achievement
PP. 35 - 44
The Building to the system of cooperation between schools and the related organizations : Through the efforts of “Sub Care System Meeting”
PP. 45 - 50
The relationship between procrastination in academics and personality traits of university students
PP. 51 - 57
An investigation of Fibonacci numbers as a teaching material of mathematics education and an extension of the formula of the power sum of Fibonacci numbers
PP. 59 - 66
Advanced materials for high school mathematics and their background : periods of Fibonacci sequences modulo m
PP. 67 - 74
Advanced materials for high school mathematics and their background II : the four number game
PP. 75 - 81
A Study on the Educational Significance of ‘Play to the Full’ in Early Childhood Education : Based on Kurahashi Sozo’s theory of “Root Education”
PP. 83 - 90
The Learning of Children in Goal Type Game : Verification from children’s dialogue and teacher’s interaction
PP. 91 - 95
The Redefinition of Group-guidance from a Viewpoint of Social Power and Public Sphere.
PP. 97 - 104
The Life-historical Approach to Hiroshi KISHIMOTO(Ⅱ)
PP. 105 - 114
Dynamic Assessment using Group Learning : in Junior High School Social Studies
PP. 115 - 134
The Development of Instrumental Music Education in Kyoto During the Occupation
PP. 135 - 146
Study on improving lifestyle habits program of elementary school students by PDCA cycle
PP. 147 - 154
Study on the practice and effect of basic motility abilities improvement program for elementary school students
PP. 155 - 162
Study on school education by regional, family and school collaborative efforts to improve physical fitness
PP. 163 - 167
Qualitative Improvement of Earthquake Disaster Mitigation Education for Special Needs School
PP. 169 - 174
Usages of Picture Books for the Method of Active Learnig : Aiming at Connecting with Traditional Japanese Language Culture Teaching in Elementary Education
PP. 182 - 176