CC221805 Curriculum in Mathematics Education

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Education

Lecture Code CC221805 Subject Classification Specialized Education

Subject Name 数学教育カリキュラム論

Subject Name
（Katakana）スウガクキョウイクカリキュラムロン

Subject Name in
English Curriculum in Mathematics Education

Instructor KATO HISAE,KAGEYAMA KAZUYA

Instructor
(Katakana) カトウ　ヒサエ,カゲヤマ　カズヤ

Campus Higashi-Hiroshima Semester/Term 3rd-Year, First Semester, 2Term

Days, Periods, and Classrooms (2T) Weds5-8：EDU L104

Lesson Style Lecture Lesson Style
(More Details) 　

Lectures

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

Course Level 3 : Undergraduate High-Intermediate

Course Area（Area） 24 : Social Sciences

Course Area（Discipline） 08 : Curriculum and Instruction Sciences

Eligible Students

Keywords

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
（Knowledge and Understanding）
・To understand basic knowledge of a principle of mathematic education.
（Abilities and Skills）
・To be able to analyze and examine a principle and methods of mathematic education from the viewpoint of theor and practices.

Class Objectives
/Class Outline "The objectives of this course are:
- to cultivate the fundamental qualities needed for researching teaching contents and for making lessons by deepening understanding of construction principles of mathematics curricula from the viewpoints of purposes, contents, teaching methods of mathematics education,
- to deepen understanding of construction principles of mathematics curricula through comparison and study of mathematics curricula in Japan and overseas, and
- to acquire specialized capabilities and skills needed for constructing a mathematics lesson in consideration of the construction principles of mathematics curricula.
"

Class Schedule "Lesson1: Orientation
Students will be provided with an overview of this course. Students are expected to learn the meaning of a curriculum.
"

"Lesson2: Curriculum and Types
After giving a lecture on a three layered-curriculum, this lesson will discuss types and approach to development as a general theory of curricula.
"

"Lesson3: Transition of Mathematics Curriculum in Japan (1)
This lesson will consider experimental curricula with the subject of ‘Life Unit Learning ‘.
"

"
Lesson4: Transition of Mathematics Curriculum in Japan (2)
This lesson will consider school subject curriculum with the subjects of ‘ Systematic Learning ‘ and ‘ Modernization’.
"

"Lesson5: Transition of Mathematics Curriculum in Japan (3)
This lesson will examine the curriculum design up to the Curriculum Guidelines released in 2008.
"

"Lesson6: Mathematics Curriculum in Other Countries (1)
Students will consider a curriculum in the U.S which complies with the NCTM Standards.
"

"Lesson7: Mathematics Curriculum in Other Countries (2)
This lesson will compare and study curricula in other countries and examine the characteristics of each curriculum.
"

"Lesson8: Consideration of Construction Principles of Mathematics Curriculum (1)
This lesson will consider principles of purposes.
"

"Lesson9: Consideration of Construction Principles of Mathematics Curriculum (2)
This lesson will consider principles of contents structure.
"

"Lesson10: Consideration of Construction Principles of Mathematics Curriculum (3)
This lesson will consider principles of instruction methods, particularly instruction methods using a computer.
"

"Lesson11: Construction of 21st Century Mathematics Curriculum (1)
This lesson will discuss the possibility of an integrated curriculum of elementary, junior high, high schools.

"

"Lesson12: Construction of 21st Century Mathematics Curriculum (2)
This lesson will discuss how a mathematics curriculum centering around mathematical activities should be.
"

"Lesson13: Construction of 21st Century Mathematics Curriculum (3)
This lesson will discuss the possibility of Process Curriculum which cultivate students’ ‘ Thinking skills and Expressiveness ‘
"

"Lesson14: Construction of 21st Century Mathematics Curriculum (4)
This lesson will discuss how a mathematics curriculum should be in order to meet the requirements of 21st century society.
"

Lesson15: Summary

Text/Reference
Books,etc. "Textbook：None
Reference Books, Materials, etc.：
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．
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)，実教出版．
数学教育学研究会編，『新訂数学教育の理論と実際<中学校・高等学校>』，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．
"

PC or AV used in
Class,etc. 　

(More Details) Textbooks, Handouts

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review "Lesson1: Review the objectives of this course.
Lesson2: Review the curricula and the types of the curricula. Read materials about the time of ‘life-unit learning’ for Lesson3.
Lesson3: Review the characteristics of the curricula at the time of ‘ life-unit learning’. Read materials about the time of ‘modernization’ as for Lesson4.
Lesson4: Review the characteristics of the curricula at the time of ‘ modernization’. Read materials about the time of ‘ careful selection’ for Lesson 5.Review the characteristics of the curricula at the time of “ careful selection’. Read materials about ‘ standard’ in the U.S. for Lesson6.
Lesson6: Review the characteristics of the ‘ standard ‘ in the U.S. Read materials about ‘ national curriculum ‘ in the U.K. for Lesson7.
Lesson7: Review the characteristics of the ‘ national curriculum’ in the U.K.
Lesson: Review the framework of curriculum structure principles of mathematics. Sort out your thoughts about the purpose of mathematics education.
Lesson9: Review the principles regarding ‘ purposes’ of mathematics education. Analyze the Curriculum Guideline for junior high school education from the aspect of contents construction.
Lesson10: Review the principles of contents construction of the Curriculum Guideline for junior high school education. Analyze the Curriculum Guideline for high school education from the aspect of contents construction.
Lesson11: Review the principles of contents construction of the Curriculum Guideline for high school education. Read materials about teaching methods.
Lesson12: Review the principles of teaching methods.
Lesson13: Sort out things that are required for a curriculum of mathematics education in a new era.
Lesson14:　Sort out the characteristics of the new Curriculum Guideline.
Lesson15: Review the overall contents of this course.
"

Requirements

Grading Method Students will be evaluated based on attendance:20% and final exam:80%.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other In 2024, regular lectures and intensive lectures will be held together. Please confirm the schedule in the guidance materials.

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	CC221805	Subject Classification	Specialized Education
Subject Name	数学教育カリキュラム論
Subject Name （Katakana）	スウガクキョウイクカリキュラムロン
Subject Name in English	Curriculum in Mathematics Education
Instructor	KATO HISAE,KAGEYAMA KAZUYA
Instructor (Katakana)	カトウ　ヒサエ,カゲヤマ　カズヤ
Campus	Higashi-Hiroshima	Semester/Term	3rd-Year, First Semester, 2Term
Days, Periods, and Classrooms	(2T) Weds5-8：EDU L104
Lesson Style	Lecture	Lesson Style (More Details)
Lectures
Credits	2.0	Class Hours/Week		Language of Instruction	J : Japanese
Course Level	3 : Undergraduate High-Intermediate
Course Area（Area）	24 : Social Sciences
Course Area（Discipline）	08 : Curriculum and Instruction Sciences
Eligible Students
Keywords
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 （Knowledge and Understanding）・To understand basic knowledge of a principle of mathematic education. （Abilities and Skills）・To be able to analyze and examine a principle and methods of mathematic education from the viewpoint of theor and practices.
Class Objectives /Class Outline	"The objectives of this course are: - to cultivate the fundamental qualities needed for researching teaching contents and for making lessons by deepening understanding of construction principles of mathematics curricula from the viewpoints of purposes, contents, teaching methods of mathematics education, - to deepen understanding of construction principles of mathematics curricula through comparison and study of mathematics curricula in Japan and overseas, and - to acquire specialized capabilities and skills needed for constructing a mathematics lesson in consideration of the construction principles of mathematics curricula. "
Class Schedule	"Lesson1: Orientation Students will be provided with an overview of this course. Students are expected to learn the meaning of a curriculum. " "Lesson2: Curriculum and Types After giving a lecture on a three layered-curriculum, this lesson will discuss types and approach to development as a general theory of curricula. " "Lesson3: Transition of Mathematics Curriculum in Japan (1) This lesson will consider experimental curricula with the subject of ‘Life Unit Learning ‘. " " Lesson4: Transition of Mathematics Curriculum in Japan (2) This lesson will consider school subject curriculum with the subjects of ‘ Systematic Learning ‘ and ‘ Modernization’. " "Lesson5: Transition of Mathematics Curriculum in Japan (3) This lesson will examine the curriculum design up to the Curriculum Guidelines released in 2008. " "Lesson6: Mathematics Curriculum in Other Countries (1) Students will consider a curriculum in the U.S which complies with the NCTM Standards. " "Lesson7: Mathematics Curriculum in Other Countries (2) This lesson will compare and study curricula in other countries and examine the characteristics of each curriculum. " "Lesson8: Consideration of Construction Principles of Mathematics Curriculum (1) This lesson will consider principles of purposes. " "Lesson9: Consideration of Construction Principles of Mathematics Curriculum (2) This lesson will consider principles of contents structure. " "Lesson10: Consideration of Construction Principles of Mathematics Curriculum (3) This lesson will consider principles of instruction methods, particularly instruction methods using a computer. " "Lesson11: Construction of 21st Century Mathematics Curriculum (1) This lesson will discuss the possibility of an integrated curriculum of elementary, junior high, high schools. " "Lesson12: Construction of 21st Century Mathematics Curriculum (2) This lesson will discuss how a mathematics curriculum centering around mathematical activities should be. " "Lesson13: Construction of 21st Century Mathematics Curriculum (3) This lesson will discuss the possibility of Process Curriculum which cultivate students’ ‘ Thinking skills and Expressiveness ‘ " "Lesson14: Construction of 21st Century Mathematics Curriculum (4) This lesson will discuss how a mathematics curriculum should be in order to meet the requirements of 21st century society. " Lesson15: Summary
Text/Reference Books,etc.	"Textbook：None Reference Books, Materials, etc.：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．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)，実教出版．数学教育学研究会編，『新訂数学教育の理論と実際<中学校・高等学校>』，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． "
PC or AV used in Class,etc.
(More Details)	Textbooks, Handouts
Learning techniques to be incorporated
Suggestions on Preparation and Review	"Lesson1: Review the objectives of this course. Lesson2: Review the curricula and the types of the curricula. Read materials about the time of ‘life-unit learning’ for Lesson3. Lesson3: Review the characteristics of the curricula at the time of ‘ life-unit learning’. Read materials about the time of ‘modernization’ as for Lesson4. Lesson4: Review the characteristics of the curricula at the time of ‘ modernization’. Read materials about the time of ‘ careful selection’ for Lesson 5.Review the characteristics of the curricula at the time of “ careful selection’. Read materials about ‘ standard’ in the U.S. for Lesson6. Lesson6: Review the characteristics of the ‘ standard ‘ in the U.S. Read materials about ‘ national curriculum ‘ in the U.K. for Lesson7. Lesson7: Review the characteristics of the ‘ national curriculum’ in the U.K. Lesson: Review the framework of curriculum structure principles of mathematics. Sort out your thoughts about the purpose of mathematics education. Lesson9: Review the principles regarding ‘ purposes’ of mathematics education. Analyze the Curriculum Guideline for junior high school education from the aspect of contents construction. Lesson10: Review the principles of contents construction of the Curriculum Guideline for junior high school education. Analyze the Curriculum Guideline for high school education from the aspect of contents construction. Lesson11: Review the principles of contents construction of the Curriculum Guideline for high school education. Read materials about teaching methods. Lesson12: Review the principles of teaching methods. Lesson13: Sort out things that are required for a curriculum of mathematics education in a new era. Lesson14:　Sort out the characteristics of the new Curriculum Guideline. Lesson15: Review the overall contents of this course. "
Requirements
Grading Method	Students will be evaluated based on attendance:20% and final exam:80%.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other	In 2024, regular lectures and intensive lectures will be held together. Please confirm the schedule in the guidance materials.
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.

Back to syllabus main page