CC222016 Research on Mathematics Education

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Education

Lecture Code CC222016 Subject Classification Specialized Education

Subject Name 数学教育学研究

Subject Name
（Katakana）スウガクキョウイクガクケンキュウ

Subject Name in
English Research on Mathematics Education

Instructor KOYAMA MASATAKA

Instructor
(Katakana) コヤマ　マサタカ

Campus Higashi-Hiroshima Semester/Term 3rd-Year,  Second Semester,  4Term

Days, Periods, and Classrooms (4T) Fri1-4：EDU C825

Lesson Style Lecture Lesson Style
(More Details) 　

Seminar, Discussions, and Presentations

Credits 2.0 Class Hours/Week 　 Language of Instruction B : Japanese／English

Course Level 3 : Undergraduate High-Intermediate

Course Area（Area） 24 : Social Sciences

Course Area（Discipline） 08 : Curriculum and Instruction Sciences

Eligible Students Elective for students of Cluster 2 Program in Mathematics Education

Keywords Research outcomes of methodology of mathematics education, research approach, theoretical research, practical research

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Secondary School Mathematics Education
（Abilities and Skills）
・To be able to collect documents and materials on a principle and method of mathematic education, and to be able to read and analyze them.
・To be able to analyze and design  curriculum, evaluation and teaching materials of mathematic education.
（Comprehensive Abilities）
・With comprehensive knowledge and skills of principles, methods and contents on mathematic education, to be able to inquire the issues on mathematic education by examining documents and resources.

Class Objectives
/Class Outline The objective of this course is for students to learn theories, research outcomes, and research approach regarding the methodology in mathematics education through reading Japanese literatures of studies of mathematics education and to cultivate fundamental abilities to research the methodology in mathematics education proactively.

Class Schedule Lesson 1: Seminar Overview and Objectives
Students are provided with an overview of the seminar to identify objectives.
Lesson 2: Position of Methodology of Mathematics Education
This lesson explains the position of methodology of mathematics education in research and practice so that students can understand the meaning of methodology of mathematics education and raise their awareness of the issues.
Lesson 3: Research Outcomes of Methodology of Mathematics Education (1) Instruction & Learning
Students are expected to learn research outcomes regarding instructions and learning in mathematic education through reading literatures on methodology of mathematics education and learning.
Lesson 4: Research Outcomes of Methodology of Mathematics Education (2) Cognition and Understanding
Students are expected to learn research outcomes regarding cognition and understanding in mathematic education through reading literatures on methodology of mathematics education and learning.
Lesson 5: Research Approach of Methodology of Mathematics Education (1) Lesson Structure and Analysis
Students are expected to learn research outcomes regarding lesson structure and analysis in mathematic education through reading literatures on methodology of mathematics education and learning.
Lesson 6: Research Approach of Methodology of Mathematics Education (2) Investigations and Experiments
Students are expected to learn research outcomes regarding investigations and experiments in mathematic education through reading literatures on methodology of mathematics education and learning.
Lesson 7: Evaluation and Explanation of Report Assignment 1 and Discussion
The instructor returns the report assignment to students with an explanation of the evaluation and discuss each student's research topic for further exploration.
Lesson 8: Implementation of Research on Methodology of Mathematics Education (1) Observation of Mathematics Lesson
Students present the work process of their research and have a group discussion for further research.
Lesson 9: Implementation of Research on Methodology of Mathematics Education (2) Analysis of Mathematics Lesson
Students present the work process of their research and have a group discussion for further research.
Lesson 10: Implementation of Research on Methodology of Mathematics Education (3) Lesson Plan of Mathematics
Students present the work process of their research and have a group discussion for further research and summarizing the outcomes.
Lesson 11: Presentation of Outcomes of Research on Methodology of Mathematics Education (1) Presentation by Group 1
Students present their research outcomes and have a group discussion to identify their issues and make a better summary of the outcomes.
Lesson 12: Presentation of Outcomes of Research on Methodology of Mathematics Education (2) Presentation by Group 2
Students present their research outcomes and have a group discussion to identify their issues and make a better summary of the outcomes.
Lesson 13: Presentation of Outcomes of Research on Methodology of Mathematics Education (3) Presentation by Group 3
Students present their research outcomes and have a group discussion to identify their issues and make a better summary of the outcomes.
Lesson 14: Evaluation and Explanation of Report Assignment 2 and Discussion (2) Reflection
The instructor returns the report assignment to students with an explanation and discuss each student's research topic so that the students will become able to conduct a research proactively.
Lesson 15: Evaluation and Explanation of Report Assignment 2 and Discussion (2) Prospect
The instructor returns the report assignment to students with an explanation and discuss each student's research topic so that the students will become able to conduct a research proactively.

Students are evaluated based on presentations, group discussions, and report assignments.

Text/Reference
Books,etc. Handouts will be distributed in class.
Textbooks教科書：
中学校学習指導要領（平成29年３月告示文部科学省）
中学校学習指導要領解説数学編（平成29年７月文部科学省）
高等学校学習指導要領（平成30年３月告示文部科学省）
高等学校学習指導要領解説数学編（平成30年７月文部科学省）
高等学校学習指導要領解説理数（平成30年７月文部科学省）
小山正孝（2010）『算数教育における数学的理解の過程モデルの研究』，聖文新社
小山正孝編著（2014）『教師教育講座第14巻　中等数学教育』，協同出版
礒田正美・影山和也編著『新・教職課程演習第19巻　中等数学科教育』，協同出版．
日本数学教育学会編（2010）『数学教育学研究ハンドブック』，東洋館出版社
Reference Books 参考書：
（著書）
国立教育政策研究所『全国学力・学習状況調査報告書』
数学教育学研究会編『新訂数学教育の理論と実際』，聖文新社
日本数学教育学会編『学校数学の授業構成を問い直す』，産業図書
日本数学教育学会編『数学教育学ハンドブック』，東洋館出版社
小山正孝著『算数教育における数学的理解の過程モデルの研究』，聖文新社
中原忠男編『算数・数学科重要用語300の基礎知識』，明治図書
（学術雑誌）
日本数学教育学会誌『算数教育』，『数学教育』，『数学教育論究』
全国数学教育学会誌『数学教育学研究』
Mathematics Teacher，Mathematics Teaching，Journal for Research in Mathematics
Education，Educational Studies in Mathematics
（その他）
中学校数学科教科書：中学１年，中学２年，中学３年
高等学校数学科教科書：数学Ⅰ，数学Ⅱ，数学Ⅲ，数学Ａ，数学Ｂ，数学C
数学科学習指導案と数学科授業観察録

PC or AV used in
Class,etc. 　

(More Details) Textbooks, Handouts, Movies(DVD/PC）
PC
DVD of Mathematics Lesson（本数２，１回の上映時間50分）

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review After Lesson1:
After reviewing the outline of the seminar and clarifying the objectives, search for reference literatures and get them.
After Lesson2-6:
Read the reference literature, sort out the contents and clarify questions.
【Report Assignment１】
Consider research outcome and research approach of methodology of mathematics education and think about a research topic to work on based on the reference literatures.
After Lesson7
Study the evaluation of your report assignment and clarify your research topic and approach based on the discussions.
After Lesson 8-13:
Integrate principles and methods of mathematics education and knowledge and skills of the contents, search for literatures and materials related to your research topic, work on your research systematically, and prepare yourself to present the work process and research outcomes.
【Report Assignment２】
Write a final repot on your research. Organize the points of your argument and write an easy-to-understand report.
After Lesson14-15:
Study the evaluation of your report assignment, clarify your challenge based on the discussions, and think about measures to conduct a research on methodology of mathematics education proactively.

Requirements Teaching methods of school subject (mathematics)
Open only to students of Cluster 2 Science, Technology and Society Education.
It is desirable that students have taken Methodology of Mathematics Education and Introduction to Mathematics Education I&II.
This course will be a seminar style class.

Grading Method Students are evaluated based on presentations & group discussion (50%) and report assignments(50%).
Students' ' Intellectual capabilities & skills 1' and ' Comprehensive capabilities & skills a' will be evaluated based on report assignments and presentations & discussions.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message This course is a seminar style class. You are expected to actively search for literatures and materials, write a report based on those, clarify issues, and have discussions. Japanese language is mainly used with the materials written in English language.

Other

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2024Year	School/Graduate School	School of Education
Lecture Code	CC222016	Subject Classification	Specialized Education
Subject Name	数学教育学研究
Subject Name （Katakana）	スウガクキョウイクガクケンキュウ
Subject Name in English	Research on Mathematics Education
Instructor	KOYAMA MASATAKA
Instructor (Katakana)	コヤマ　マサタカ
Campus	Higashi-Hiroshima	Semester/Term	3rd-Year, Second Semester, 4Term
Days, Periods, and Classrooms	(4T) Fri1-4：EDU C825
Lesson Style	Lecture	Lesson Style (More Details)
Seminar, Discussions, and Presentations
Credits	2.0	Class Hours/Week		Language of Instruction	B : Japanese／English
Course Level	3 : Undergraduate High-Intermediate
Course Area（Area）	24 : Social Sciences
Course Area（Discipline）	08 : Curriculum and Instruction Sciences
Eligible Students	Elective for students of Cluster 2 Program in Mathematics Education
Keywords	Research outcomes of methodology of mathematics education, research approach, theoretical research, practical research
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Secondary School Mathematics Education （Abilities and Skills）・To be able to collect documents and materials on a principle and method of mathematic education, and to be able to read and analyze them. ・To be able to analyze and design curriculum, evaluation and teaching materials of mathematic education. （Comprehensive Abilities）・With comprehensive knowledge and skills of principles, methods and contents on mathematic education, to be able to inquire the issues on mathematic education by examining documents and resources.
Class Objectives /Class Outline	The objective of this course is for students to learn theories, research outcomes, and research approach regarding the methodology in mathematics education through reading Japanese literatures of studies of mathematics education and to cultivate fundamental abilities to research the methodology in mathematics education proactively.
Class Schedule	Lesson 1: Seminar Overview and Objectives Students are provided with an overview of the seminar to identify objectives. Lesson 2: Position of Methodology of Mathematics Education This lesson explains the position of methodology of mathematics education in research and practice so that students can understand the meaning of methodology of mathematics education and raise their awareness of the issues. Lesson 3: Research Outcomes of Methodology of Mathematics Education (1) Instruction & Learning Students are expected to learn research outcomes regarding instructions and learning in mathematic education through reading literatures on methodology of mathematics education and learning. Lesson 4: Research Outcomes of Methodology of Mathematics Education (2) Cognition and Understanding Students are expected to learn research outcomes regarding cognition and understanding in mathematic education through reading literatures on methodology of mathematics education and learning. Lesson 5: Research Approach of Methodology of Mathematics Education (1) Lesson Structure and Analysis Students are expected to learn research outcomes regarding lesson structure and analysis in mathematic education through reading literatures on methodology of mathematics education and learning. Lesson 6: Research Approach of Methodology of Mathematics Education (2) Investigations and Experiments Students are expected to learn research outcomes regarding investigations and experiments in mathematic education through reading literatures on methodology of mathematics education and learning. Lesson 7: Evaluation and Explanation of Report Assignment 1 and Discussion The instructor returns the report assignment to students with an explanation of the evaluation and discuss each student's research topic for further exploration. Lesson 8: Implementation of Research on Methodology of Mathematics Education (1) Observation of Mathematics Lesson Students present the work process of their research and have a group discussion for further research. Lesson 9: Implementation of Research on Methodology of Mathematics Education (2) Analysis of Mathematics Lesson Students present the work process of their research and have a group discussion for further research. Lesson 10: Implementation of Research on Methodology of Mathematics Education (3) Lesson Plan of Mathematics Students present the work process of their research and have a group discussion for further research and summarizing the outcomes. Lesson 11: Presentation of Outcomes of Research on Methodology of Mathematics Education (1) Presentation by Group 1 Students present their research outcomes and have a group discussion to identify their issues and make a better summary of the outcomes. Lesson 12: Presentation of Outcomes of Research on Methodology of Mathematics Education (2) Presentation by Group 2 Students present their research outcomes and have a group discussion to identify their issues and make a better summary of the outcomes. Lesson 13: Presentation of Outcomes of Research on Methodology of Mathematics Education (3) Presentation by Group 3 Students present their research outcomes and have a group discussion to identify their issues and make a better summary of the outcomes. Lesson 14: Evaluation and Explanation of Report Assignment 2 and Discussion (2) Reflection The instructor returns the report assignment to students with an explanation and discuss each student's research topic so that the students will become able to conduct a research proactively. Lesson 15: Evaluation and Explanation of Report Assignment 2 and Discussion (2) Prospect The instructor returns the report assignment to students with an explanation and discuss each student's research topic so that the students will become able to conduct a research proactively. Students are evaluated based on presentations, group discussions, and report assignments.
Text/Reference Books,etc.	Handouts will be distributed in class. Textbooks教科書：中学校学習指導要領（平成29年３月告示文部科学省）中学校学習指導要領解説数学編（平成29年７月文部科学省）高等学校学習指導要領（平成30年３月告示文部科学省）高等学校学習指導要領解説数学編（平成30年７月文部科学省）高等学校学習指導要領解説理数（平成30年７月文部科学省）小山正孝（2010）『算数教育における数学的理解の過程モデルの研究』，聖文新社小山正孝編著（2014）『教師教育講座第14巻　中等数学教育』，協同出版礒田正美・影山和也編著『新・教職課程演習第19巻　中等数学科教育』，協同出版．日本数学教育学会編（2010）『数学教育学研究ハンドブック』，東洋館出版社 Reference Books 参考書：（著書）国立教育政策研究所『全国学力・学習状況調査報告書』数学教育学研究会編『新訂数学教育の理論と実際』，聖文新社日本数学教育学会編『学校数学の授業構成を問い直す』，産業図書日本数学教育学会編『数学教育学ハンドブック』，東洋館出版社小山正孝著『算数教育における数学的理解の過程モデルの研究』，聖文新社中原忠男編『算数・数学科重要用語300の基礎知識』，明治図書（学術雑誌）日本数学教育学会誌『算数教育』，『数学教育』，『数学教育論究』全国数学教育学会誌『数学教育学研究』 Mathematics Teacher，Mathematics Teaching，Journal for Research in Mathematics Education，Educational Studies in Mathematics （その他）中学校数学科教科書：中学１年，中学２年，中学３年高等学校数学科教科書：数学Ⅰ，数学Ⅱ，数学Ⅲ，数学Ａ，数学Ｂ，数学C 数学科学習指導案と数学科授業観察録
PC or AV used in Class,etc.
(More Details)	Textbooks, Handouts, Movies(DVD/PC） PC DVD of Mathematics Lesson（本数２，１回の上映時間50分）
Learning techniques to be incorporated
Suggestions on Preparation and Review	After Lesson1: After reviewing the outline of the seminar and clarifying the objectives, search for reference literatures and get them. After Lesson2-6: Read the reference literature, sort out the contents and clarify questions. 【Report Assignment１】 Consider research outcome and research approach of methodology of mathematics education and think about a research topic to work on based on the reference literatures. After Lesson7 Study the evaluation of your report assignment and clarify your research topic and approach based on the discussions. After Lesson 8-13: Integrate principles and methods of mathematics education and knowledge and skills of the contents, search for literatures and materials related to your research topic, work on your research systematically, and prepare yourself to present the work process and research outcomes. 【Report Assignment２】 Write a final repot on your research. Organize the points of your argument and write an easy-to-understand report. After Lesson14-15: Study the evaluation of your report assignment, clarify your challenge based on the discussions, and think about measures to conduct a research on methodology of mathematics education proactively.
Requirements	Teaching methods of school subject (mathematics) Open only to students of Cluster 2 Science, Technology and Society Education. It is desirable that students have taken Methodology of Mathematics Education and Introduction to Mathematics Education I&II. This course will be a seminar style class.
Grading Method	Students are evaluated based on presentations & group discussion (50%) and report assignments(50%). Students' ' Intellectual capabilities & skills 1' and ' Comprehensive capabilities & skills a' will be evaluated based on report assignments and presentations & discussions.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message	This course is a seminar style class. You are expected to actively search for literatures and materials, write a report based on those, clarify issues, and have discussions. Japanese language is mainly used with the materials written in English language.
Other
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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