CC220304 Introduction to Mathematics Education II

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School School of Education

Lecture Code CC220304 Subject Classification Specialized Education

Subject Name 数学教育学概論II

Subject Name
（Katakana）スウガクキョウイクガクガイロンII

Subject Name in
English Introduction to Mathematics Education II

Instructor OKAZAKI MASAKAZU

Instructor
(Katakana) オカザキ　マサカズ

Campus Higashi-Hiroshima Semester/Term 2nd-Year,  Second Semester,  3Term

Days, Periods, and Classrooms (3T) Weds5-8：EDU L205

Lesson Style Lecture Lesson Style
(More Details) Face-to-face

Lecture and Seminar

Credits 2.0 Class Hours/Week 4 Language of Instruction J : Japanese

Course Level 2 : Undergraduate Low-Intermediate

Course Area（Area） 24 : Social Sciences

Course Area（Discipline） 08 : Curriculum and Instruction Sciences

Eligible Students Required for students of Cluster 2, Program in Mathematics Education

Keywords Mathematics education study, teaching theory of mathematics, methodology of instructions of mathematics, assessment theory of mathematics, teaching and learning theories in mathematics education

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) Program in Mathematics Education
（Knowledge and Understanding）
・To understand basic knowledge of methods of mathematic 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.

Class Objectives
/Class Outline Students will understand the s of mathematics education and cultivate basic capabilities needed to be a mathematics teacher, by discussing the methodology of teaching such as instructions & learning theories, problem solving, and conceptual configurations of mathematics and by analyzing mathematics lessons.

Class Schedule Lesson1: Course Overview and Objectives
Students will understand the characteristics and uniqueness of mathematics education activities and consider the significance of studying and researching mathematics education.
Lesson2: The conceptions of mathematics
Students will gain an overview of the history of mathematics and consider the relationship between people and mathematics from a historical perspective. In particular, they learn about the debate over the foundations of mathematics, and use this knowledge to help shape your own view of mathematics.
Lesson3: Epistemology of Mathematics Education
Students will learn about several epistemological positions on mathematics education and how learning mathematics can be perceived in a variety of ways. Through this, they discuss possibilities of human growth through learning mathematics.
Lesson4: Purpose and goals of mathematics teaching
Students will learn perspectives for grasping goals in mathematics education based on the characteristics of mathematics. Also, they analyze surveys of academic ability and learning status to understand school students' current situations. By recognizing these discrepancies, they will conceive their own goals.
Lesson5: Purpose and Goals of Mathematics Education(2)
Students will learn about the lineage of goals in mathematics teaching in Japan and how they have continued to the present day. Also, they get an overview of the goals of mathematics education overseas. Through these activities, students aim to be able to set and discuss their own goals for mathematics teaching.
Lesson6: Mathematics teaching material and its study
Students will learn the basic concepts of teaching materials study and conduct your own study using teaching contents from elementary school mathematics, junior high school mathematics, and high school mathematics.
Lesson7: Mathematics teaching material and its study
They will learn teaching materials study about task-based learning,  the learning that transcends school types and subjects, and the learning from the perspective of its connection to people's lives. They discuss the significance of teaching materials study in connection with research on the teacher's mathematical knowledge for teaching should possess.
[Report 1] Based on the goals and content of mathematics, and the background knowledge and thinking behind designing mathematics lessons, propose their own ideal form of mathematics classes using examples of teaching materials from junior high and high schools.
Lesson8: Principles supporting mathematics teaching and learning.
I will provide an overview of research on understanding, problem solving, mathematical modeling, and other fundamental theories in mathematics education, raising awareness of mathematics education research.
Lesson9: Principles supporting mathematics teaching and learning.
I will provide the overviews of research on semiotics, communication, reasoning and proving, raising awareness of mathematics education research.
Lesson10: Theories of mathematics teaching
I will provide the overviews of research on the aspects of mathematics lesson, the problem-solving approaches, open(-ended) approaches, cognition and affect, and discuss a variety of approaches to constructing mathematics lessons.
Lesson11: Theories of mathematics teaching
I will provide the overviews of the research on mathematical situation, teaching aids, constructive approach, and sociocultural approaches, reconsider how mathematics lessons are perceived, and discuss ways to improve mathematics instruction.
Lesson12: Assessment in mathematics education and actual analysis
Students will learn about the purpose, significance, and function of assessment/evaluation, as well as practical methods. Through this, they start to consider how to apply this assessment knowledge to mathematics teaching in the future.
Lesson13: Assessment in mathematics education and actual analysis
We will analyze mathematics lesson from an assessment perspective based on practical data from mathematics.
Lesson14: Assessment in mathematics education Evaluation and improvement of mathematics Lessons
Through an analysis of practical data from mathematics, we will examine the basic ideas about constructinglessons that junior high and high school mathematics teachers should have, as well as the ability and attitude to grasp practice.
[Report 2] Create a mathematics unit plan and mathematics lesson plan for junior high or high school based on the learned theories on teaching and learning mathematics, and assessment theory.
Lesson15: Setting the research agenda for mathematics education
Students will review the theory and practice of mathematics education and set their own research agenda for mathematics education. I expect students to develop an attitude of conceiving research issues and themes and trying to solve them in order to improve mathematics learning and teaching.

Test and Report assignments

Text/Reference
Books,etc. Materials：Handouts will be provided when needed.
Textbooks：
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）
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)』
文部省『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)』．
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．
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．
Reference Books：
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. Text, Handouts, Visual Materials, Microsoft Teams, moodle

(More Details) DVD will be used (2 DVD；50 min.)
PC

Learning techniques to be incorporated Discussions, Quizzes/ Quiz format, Post-class Report

Suggestions on
Preparation and
Review After Lesson1:
Review the outline of the lesson and identify your objectives. Find a textbook and/or books for reference.
After Lesson2-5:
Review what you learned in the lesson and clarify your questions.
Based on that, read a textbook and reference books and think about what you find.
【Report Assignment 1】
Investigate the results of mathematics achievement surveys of Japan and overseas, identify and sort out issues of mathematics education methods, concerning students’ mathematical recognition, and find measures to overcome those issues.
After Lesson6:
Examine the evaluation of your report assignment and discussions that we had in class to identify your challenge.
After Lesson7-11
Review what you learned in the lesson and clarify your questions. Based on that, read the textbook and/or books for reference and think about what you find.
【Report Assignment２】
Select one specific teaching content of junior high school mathematics and high school mathematics (one each) from literatures about mathematics learning theories and/or mathematics understanding model, and/or junior high school and high school textbooks, and think about how to teach the contents.
After Lesson12:
Identify your challenge based on the evaluation of your report assignment returned and discussions as a reference.
After Lesson13-15:
Review what you learned in the lesson and clarify your questions.
Review the previous lessons and report assignments to be prepared for a final exam.
After Lesson16
Examine the result of your final exam and reflect on your learning process and outcome to identify your challenge for the future and find a way to overcome the challenge.

Requirements Teaching methods of school subject (mathematics)
It is desirable that students have taken the Introduction to Mathematics Education I.

Grading Method Students will be evaluated based on test (80%) and report assignments (20%).

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	2026Year	School/Graduate School	School of Education
Lecture Code	CC220304	Subject Classification	Specialized Education
Subject Name	数学教育学概論II
Subject Name （Katakana）	スウガクキョウイクガクガイロンII
Subject Name in English	Introduction to Mathematics Education II
Instructor	OKAZAKI MASAKAZU
Instructor (Katakana)	オカザキ　マサカズ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Weds5-8：EDU L205
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face
Lecture and Seminar
Credits	2.0	Class Hours/Week	4	Language of Instruction	J : Japanese
Course Level	2 : Undergraduate Low-Intermediate
Course Area（Area）	24 : Social Sciences
Course Area（Discipline）	08 : Curriculum and Instruction Sciences
Eligible Students	Required for students of Cluster 2, Program in Mathematics Education
Keywords	Mathematics education study, teaching theory of mathematics, methodology of instructions of mathematics, assessment theory of mathematics, teaching and learning theories in mathematics education
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)	Program in Mathematics Education （Knowledge and Understanding）・To understand basic knowledge of methods of mathematic 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.
Class Objectives /Class Outline	Students will understand the s of mathematics education and cultivate basic capabilities needed to be a mathematics teacher, by discussing the methodology of teaching such as instructions & learning theories, problem solving, and conceptual configurations of mathematics and by analyzing mathematics lessons.
Class Schedule	Lesson1: Course Overview and Objectives Students will understand the characteristics and uniqueness of mathematics education activities and consider the significance of studying and researching mathematics education. Lesson2: The conceptions of mathematics Students will gain an overview of the history of mathematics and consider the relationship between people and mathematics from a historical perspective. In particular, they learn about the debate over the foundations of mathematics, and use this knowledge to help shape your own view of mathematics. Lesson3: Epistemology of Mathematics Education Students will learn about several epistemological positions on mathematics education and how learning mathematics can be perceived in a variety of ways. Through this, they discuss possibilities of human growth through learning mathematics. Lesson4: Purpose and goals of mathematics teaching Students will learn perspectives for grasping goals in mathematics education based on the characteristics of mathematics. Also, they analyze surveys of academic ability and learning status to understand school students' current situations. By recognizing these discrepancies, they will conceive their own goals. Lesson5: Purpose and Goals of Mathematics Education(2) Students will learn about the lineage of goals in mathematics teaching in Japan and how they have continued to the present day. Also, they get an overview of the goals of mathematics education overseas. Through these activities, students aim to be able to set and discuss their own goals for mathematics teaching. Lesson6: Mathematics teaching material and its study Students will learn the basic concepts of teaching materials study and conduct your own study using teaching contents from elementary school mathematics, junior high school mathematics, and high school mathematics. Lesson7: Mathematics teaching material and its study They will learn teaching materials study about task-based learning, the learning that transcends school types and subjects, and the learning from the perspective of its connection to people's lives. They discuss the significance of teaching materials study in connection with research on the teacher's mathematical knowledge for teaching should possess. [Report 1] Based on the goals and content of mathematics, and the background knowledge and thinking behind designing mathematics lessons, propose their own ideal form of mathematics classes using examples of teaching materials from junior high and high schools. Lesson8: Principles supporting mathematics teaching and learning. I will provide an overview of research on understanding, problem solving, mathematical modeling, and other fundamental theories in mathematics education, raising awareness of mathematics education research. Lesson9: Principles supporting mathematics teaching and learning. I will provide the overviews of research on semiotics, communication, reasoning and proving, raising awareness of mathematics education research. Lesson10: Theories of mathematics teaching I will provide the overviews of research on the aspects of mathematics lesson, the problem-solving approaches, open(-ended) approaches, cognition and affect, and discuss a variety of approaches to constructing mathematics lessons. Lesson11: Theories of mathematics teaching I will provide the overviews of the research on mathematical situation, teaching aids, constructive approach, and sociocultural approaches, reconsider how mathematics lessons are perceived, and discuss ways to improve mathematics instruction. Lesson12: Assessment in mathematics education and actual analysis Students will learn about the purpose, significance, and function of assessment/evaluation, as well as practical methods. Through this, they start to consider how to apply this assessment knowledge to mathematics teaching in the future. Lesson13: Assessment in mathematics education and actual analysis We will analyze mathematics lesson from an assessment perspective based on practical data from mathematics. Lesson14: Assessment in mathematics education Evaluation and improvement of mathematics Lessons Through an analysis of practical data from mathematics, we will examine the basic ideas about constructinglessons that junior high and high school mathematics teachers should have, as well as the ability and attitude to grasp practice. [Report 2] Create a mathematics unit plan and mathematics lesson plan for junior high or high school based on the learned theories on teaching and learning mathematics, and assessment theory. Lesson15: Setting the research agenda for mathematics education Students will review the theory and practice of mathematics education and set their own research agenda for mathematics education. I expect students to develop an attitude of conceiving research issues and themes and trying to solve them in order to improve mathematics learning and teaching. Test and Report assignments
Text/Reference Books,etc.	Materials：Handouts will be provided when needed. Textbooks：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）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)』文部省『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)』．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．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． Reference Books：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.	Text, Handouts, Visual Materials, Microsoft Teams, moodle
(More Details)	DVD will be used (2 DVD；50 min.) PC
Learning techniques to be incorporated	Discussions, Quizzes/ Quiz format, Post-class Report
Suggestions on Preparation and Review	After Lesson1: Review the outline of the lesson and identify your objectives. Find a textbook and/or books for reference. After Lesson2-5: Review what you learned in the lesson and clarify your questions. Based on that, read a textbook and reference books and think about what you find. 【Report Assignment 1】 Investigate the results of mathematics achievement surveys of Japan and overseas, identify and sort out issues of mathematics education methods, concerning students’ mathematical recognition, and find measures to overcome those issues. After Lesson6: Examine the evaluation of your report assignment and discussions that we had in class to identify your challenge. After Lesson7-11 Review what you learned in the lesson and clarify your questions. Based on that, read the textbook and/or books for reference and think about what you find. 【Report Assignment２】 Select one specific teaching content of junior high school mathematics and high school mathematics (one each) from literatures about mathematics learning theories and/or mathematics understanding model, and/or junior high school and high school textbooks, and think about how to teach the contents. After Lesson12: Identify your challenge based on the evaluation of your report assignment returned and discussions as a reference. After Lesson13-15: Review what you learned in the lesson and clarify your questions. Review the previous lessons and report assignments to be prepared for a final exam. After Lesson16 Examine the result of your final exam and reflect on your learning process and outcome to identify your challenge for the future and find a way to overcome the challenge.
Requirements	Teaching methods of school subject (mathematics) It is desirable that students have taken the Introduction to Mathematics Education I.
Grading Method	Students will be evaluated based on test (80%) and report assignments (20%).
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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