CC220402 Methodology of Mathematics Education

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Education

Lecture Code CC220402 Subject Classification Specialized Education

Subject Name 数学教育方法論

Subject Name
（Katakana）スウガクキョウイクホウホウロン

Subject Name in
English Methodology of Mathematics Education

Instructor KOYAMA MASATAKA

Instructor
(Katakana) コヤマ　マサタカ

Campus Higashi-Hiroshima Semester/Term 1st-Year,  Second Semester,  4Term

Days, Periods, and Classrooms (4T) Weds5-8：EDU L205

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture and Discussions

Credits 2.0 Class Hours/Week 　 Language of Instruction J : Japanese

Course Level 1 : Undergraduate Introductory

Course Area（Area） 24 : Social Sciences

Course Area（Discipline） 08 : Curriculum and Instruction Sciences

Eligible Students Students of Cluster 2 (Program in Mathematic Education) and Others

Keywords Aims and objectives of mathematics education, Methods for the teaching and learning of mathematics, Mathematical attainments of students, Planning lesson for secondary school mathematics

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) This course is the undergraduate introductory for the students of Cluster 2 (Program in Mathematics Education).
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Secondary School Mathematics Education
（Knowledge and Understanding）
・To understand basic knowledge of methods of mathematic education.
（Abilities and Skills）
・To be able to design teaching plans, by observing and analyzing mathematics classes conducted in secondary education.

Class Objectives
/Class Outline In this course, students will analyze and study the principles and methods of mathematics education from the viewpoint of integration of theories and practices, through which they will deepen understanding of the principles and methods of mathematics education and learn to utilize them for improving teachers’ practices. Also, the students will learn to see mathematics recognition from a standpoint of learners and to effectively conduct mathematics education with enhanced lesson observation and practice skills.

Class Schedule Lesson1: Course Overview and Objectives
  Students will be provided with an overview of this course to clarify the objective.
Lesson2: Aims and Objectives of Mathematics Education
  Students understand the aims and objectives of secondary school mathematics education in Japan.
Lesson3: Significance of Mathematical Activities in Mathematics Education
  Students understand the meaning of mathematical activities and think about the significance of students' mathematical activities in the process of learning mathematics.
Lesson4: Teaching and Learning of Mathematics
  Students think about the teaching and learning of secondary school mathematics with examples of mathematics topic.
[Report Task 1] Report your ideas for the aims and objectives of secondary school mathematics education in Japan.
Lesson5: Secondary School Students' Attainmenets in the PISA Survey
  Students understand Japanese students' attainments by the result of the Survey.
Lesson 6: Secondary School Students' Attainmenets in the Japan National Survey (Problem A; "Number and Algebraic Expression" and "Geometry")
  Students understand Japanese students' attainments by analyzing the result of the Survey.
Lesson7: Secondary School Students' Attainmenets in the Japan National Survey (Problem A; "Function" and "Data Handling")
  Students understand Japanese students' attainments by analyzing the result of the Survey.
Lesson8: Secondary School Students' Attainmenets in the Japan National Survey (Problem B; "Mathematical Context")
  Students understand Japanese students' attainments by analyzing the result of the Survey.
Lesson9: Secondary School Students' Attainmenets in the Japan National Survey (Problem B; "Daily Life Context")
  Students understand Japanese students' attainments by analyzing the result of the Survey.
[Report Task 2] Report your strategies for improving the students' mathematical performance.
Lesson10: Mutual Evaluation of the Proposals
  Students share their strategies and discuss them and reflect on the ideas for improving their strategies.
Lesson11: Reason and Methods for Secondary School Mathematics
  Students understand the reason and methods in practicing mathematics lessons.
Lesson12: Making Evaluation Plan for Secondary School Mathematics
  Students make their evaluation plan for practicing mathematics lessons by using the evaluation standrds.
Lesson13: Planning Lesson for Lower Secondary School Mathematics
  Students make their lesson plans for lower secondary school mathematics.
Lesson14: Planning Lesson for Upper Secondary School Mathematics
  Students make their lesson plans for upper secondary school mathematics.
Lesson15: Discussion and Improvement of Lesson Plans
  Students discuss their lesson plans and improve each lesson plan.
[Report Task 3] Report your improved lesson plan.

Task Reports. Final Examination.

Text/Reference
Books,etc. Handouts will be provided.
Text Books:
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）
Junior high school textbooks: Grade 1, 2, & 3
High school textbooks: Math I, Math A, Math II, Math B, Math III, & Math C.
文部科学省『中学校学習指導要領解説数学編(MEXT Commentary to the Curriculum Guidelines for Junior High Schools, Mathematics) 』，教育出版，September 2008
文部科学省『高等学校学習指導要領解説数学編理数編(MEXT Commentary to the Curriculum Guidelines for High Schools, Mathematics and Science)』，実教出版，December 2009.
小山正孝編著『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．
数学教育研究会編『新訂数学教育の理論と実際』，聖文新社．
Reference Books:
国立教育政策研究所『全国学力・学習状況調査報告書』，国立教育政策研究所．
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．
中原忠男編『算数・数学科重要用語300の基礎知識』，明治図書．

PC or AV used in
Class,etc. 　

(More Details) Textbook, Handouts, Audio materials
PC

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review The more you prepare and review, the more independent research reports you need to submit.
Lesson plans, lesson observation records, and commitment to trial lessons are important.

Requirements This course is for the students of Cluster 2 (Program in Mathematic Education) and Others who wish to become a mathematics teacher.

Grading Method Students will be evaluated based on report assignments (20%) and final examination (80%).
Students’ Knowledge & Understanding will be evaluated mainly based on final examination.
Students’ Intellectual Capabilities & Skills will be evaluated mainly based on report assignments and work to be submitted.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

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	CC220402	Subject Classification	Specialized Education
Subject Name	数学教育方法論
Subject Name （Katakana）	スウガクキョウイクホウホウロン
Subject Name in English	Methodology of Mathematics Education
Instructor	KOYAMA MASATAKA
Instructor (Katakana)	コヤマ　マサタカ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 4Term
Days, Periods, and Classrooms	(4T) Weds5-8：EDU L205
Lesson Style	Lecture	Lesson Style (More Details)
Lecture and Discussions
Credits	2.0	Class Hours/Week		Language of Instruction	J : Japanese
Course Level	1 : Undergraduate Introductory
Course Area（Area）	24 : Social Sciences
Course Area（Discipline）	08 : Curriculum and Instruction Sciences
Eligible Students	Students of Cluster 2 (Program in Mathematic Education) and Others
Keywords	Aims and objectives of mathematics education, Methods for the teaching and learning of mathematics, Mathematical attainments of students, Planning lesson for secondary school mathematics
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	This course is the undergraduate introductory for the students of Cluster 2 (Program in Mathematics Education).
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Secondary School Mathematics Education （Knowledge and Understanding）・To understand basic knowledge of methods of mathematic education. （Abilities and Skills）・To be able to design teaching plans, by observing and analyzing mathematics classes conducted in secondary education.
Class Objectives /Class Outline	In this course, students will analyze and study the principles and methods of mathematics education from the viewpoint of integration of theories and practices, through which they will deepen understanding of the principles and methods of mathematics education and learn to utilize them for improving teachers’ practices. Also, the students will learn to see mathematics recognition from a standpoint of learners and to effectively conduct mathematics education with enhanced lesson observation and practice skills.
Class Schedule	Lesson1: Course Overview and Objectives Students will be provided with an overview of this course to clarify the objective. Lesson2: Aims and Objectives of Mathematics Education Students understand the aims and objectives of secondary school mathematics education in Japan. Lesson3: Significance of Mathematical Activities in Mathematics Education Students understand the meaning of mathematical activities and think about the significance of students' mathematical activities in the process of learning mathematics. Lesson4: Teaching and Learning of Mathematics Students think about the teaching and learning of secondary school mathematics with examples of mathematics topic. [Report Task 1] Report your ideas for the aims and objectives of secondary school mathematics education in Japan. Lesson5: Secondary School Students' Attainmenets in the PISA Survey Students understand Japanese students' attainments by the result of the Survey. Lesson 6: Secondary School Students' Attainmenets in the Japan National Survey (Problem A; "Number and Algebraic Expression" and "Geometry") Students understand Japanese students' attainments by analyzing the result of the Survey. Lesson7: Secondary School Students' Attainmenets in the Japan National Survey (Problem A; "Function" and "Data Handling") Students understand Japanese students' attainments by analyzing the result of the Survey. Lesson8: Secondary School Students' Attainmenets in the Japan National Survey (Problem B; "Mathematical Context") Students understand Japanese students' attainments by analyzing the result of the Survey. Lesson9: Secondary School Students' Attainmenets in the Japan National Survey (Problem B; "Daily Life Context") Students understand Japanese students' attainments by analyzing the result of the Survey. [Report Task 2] Report your strategies for improving the students' mathematical performance. Lesson10: Mutual Evaluation of the Proposals Students share their strategies and discuss them and reflect on the ideas for improving their strategies. Lesson11: Reason and Methods for Secondary School Mathematics Students understand the reason and methods in practicing mathematics lessons. Lesson12: Making Evaluation Plan for Secondary School Mathematics Students make their evaluation plan for practicing mathematics lessons by using the evaluation standrds. Lesson13: Planning Lesson for Lower Secondary School Mathematics Students make their lesson plans for lower secondary school mathematics. Lesson14: Planning Lesson for Upper Secondary School Mathematics Students make their lesson plans for upper secondary school mathematics. Lesson15: Discussion and Improvement of Lesson Plans Students discuss their lesson plans and improve each lesson plan. [Report Task 3] Report your improved lesson plan. Task Reports. Final Examination.
Text/Reference Books,etc.	Handouts will be provided. Text Books: 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） Junior high school textbooks: Grade 1, 2, & 3 High school textbooks: Math I, Math A, Math II, Math B, Math III, & Math C. 文部科学省『中学校学習指導要領解説数学編(MEXT Commentary to the Curriculum Guidelines for Junior High Schools, Mathematics) 』，教育出版，September 2008 文部科学省『高等学校学習指導要領解説数学編理数編(MEXT Commentary to the Curriculum Guidelines for High Schools, Mathematics and Science)』，実教出版，December 2009. 小山正孝編著『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．数学教育研究会編『新訂数学教育の理論と実際』，聖文新社． Reference Books: 国立教育政策研究所『全国学力・学習状況調査報告書』，国立教育政策研究所．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．中原忠男編『算数・数学科重要用語300の基礎知識』，明治図書．
PC or AV used in Class,etc.
(More Details)	Textbook, Handouts, Audio materials PC
Learning techniques to be incorporated
Suggestions on Preparation and Review	The more you prepare and review, the more independent research reports you need to submit. Lesson plans, lesson observation records, and commitment to trial lessons are important.
Requirements	This course is for the students of Cluster 2 (Program in Mathematic Education) and Others who wish to become a mathematics teacher.
Grading Method	Students will be evaluated based on report assignments (20%) and final examination (80%). Students’ Knowledge & Understanding will be evaluated mainly based on final examination. Students’ Intellectual Capabilities & Skills will be evaluated mainly based on report assignments and work to be submitted.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
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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