In this lecture, based on recent trends in mathematics education, students will learn about the background and overview of
the revisions to the Course of Study for mathematics in junior high schools and high schools. Next, students will deepen their
understanding of mathematical activities under the theme of “lesson design that realizes mathematical activities”. Then, through
the creation of lesson plans for mathematics in junior high schools and high schools, students will consider lessons that
realize mathematical activities.
In this lecture, based on the content theory of Teaching Method of Mathematics I, students will systematically learn how
to realize mathematical activities in their daily lessons and how to design units for this purpose, with the aim of acquiring
the basic skills (practical skills) to design lessons that realize mathematical activities.
- Students can explain the background and overview of the revisions to the Course of Study for mathematics in junior high schools and high schools.
- Students can explain the relationship between mathematical perspectives and ways of thinking and mathematical activities.
- Students can read a mathematics textbook analytically, looking at the whole unit and its mathematical background, and analyze teaching materials.
- Students can create a lesson plan that realizes mathematical activities in mathematics in junior high schools and high schools, and explain the lesson.
| Confirmation Test | Creating Lesson Plans (Mock Lessons) | Reports | Total. | |
|---|---|---|---|---|
| 1. | 25% | 25% | ||
| 2. | 10% | 5% | 5% | 20% |
| 3. | 20% | 5% | 25% | |
| 4. | 25% | 5% | 30% | |
| Total. | 35% | 50% | 15% | - |
35% Confirmation Test
50% Creating Lesson Plans (Mock Lessons)
15% Reports
pass; the mark 60 above
50% Creating Lesson Plans (Mock Lessons)
15% Reports
pass; the mark 60 above
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Guidance: Students can understand the outline of the design of mathematics lessons that realize mathematical activities. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Explore mathematical activities. | 40minutes | ||
| 2. | Trends in mathematics education (1): Students can understand the trends in mathematics education in recent years, with a focus on the field of probability and statistics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check the relevant parts in the Course of Study Commentary. | 40minutes | ||
| 3. | Trends in mathematics education (2): Students can understand the current situation of Japanese students and the issues in mathematics education as seen in domestic and international academic surveys (PISA, TIMSS, National Academic Ability and Learning Status Survey). |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check the relevant parts in the Course of Study Commentary. | 40minutes | ||
| 4. | Subject goals and content of junior high school mathematics: Students can understand the goals and content of the mathematics subject in the junior high school curriculum guidelines announced in 2017. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check the relevant parts in the Course of Study Commentary. | 40minutes | ||
| 5. | Subject goals and content for high school mathematics: Students can understand the goals and content of the mathematics subject in the high school curriculum guidelines announced in 2018. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check the relevant parts in the Course of Study Commentary. | 40minutes | ||
| 6. | Summary of the Course of Study for mathematics in junior high school and high school: Students can understand the background and overall picture of the revisions to the Course of Study for Mathematics in Junior High School and High School (Confirmation Test）. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check the relevant parts in the Course of Study Commentary. | 40minutes | ||
| 7. | Mathematical activities in junior high school mathematics (1): Students can understand mathematical activities (external activities) through the theme of making models in the geometry domain in junior high school mathematics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check how to create a lesson plan. | 40minutes | ||
| 8. | Mathematical activities in junior high school mathematics (2): Students can understand mathematical activities (internal activities) through the theme of ICT-based inquiry in the geometry domain in junior high school mathematics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Analyze teaching materials in preparation for creating a lesson plan. | 40minutes | ||
| 9. | Lesson design and textbook analysis in junior high school mathematics: Students can read and analyze mathematics textbooks analytically, while looking at the overall unit and the mathematical background, in order to design lessons in junior high school mathematics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Create a lesson plan. | 40minutes | ||
| 10. | Creation and review of a lesson plan for junior high school mathematics (Mock lesson): Students can design and evaluate a lesson plan that incorporates mathematical activities in junior high school mathematics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Evaluate the lesson plan and proposed lesson. | 40minutes | ||
| 11. | The positioning of mathematical activities in high school mathematics and trends in mathematics education: Students can understand the positioning of mathematical activities in high school mathematics and trends in mathematics education. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Check how to create a lesson plan. | 40minutes | ||
| 12. | Inquiry-based lessons in high school mathematics: Students can understand the positioning of each content and examples, with the aim of realizing inquiry-based lessons in “Task-Based Learning” and the subject “Inquiry-Based Study of Science and Mathematics”. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Analyze teaching materials in preparation for creating a lesson plan. | 40minutes | ||
| 13. | Lesson design and textbook analysis in high school mathematics: Students can read and analyze mathematics textbooks analytically, while looking at the overall unit and the mathematical background, in order to design lessons in high school mathematics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Create a lesson plan. | 40minutes | ||
| 14. | Creation and review of a lesson plan for high school mathematics (Mock lesson): Students can design and evaluate a lesson plan that incorporates mathematical activities in high school mathematics. |
Read the lecture materials and summarize the main points of the lecture. | 150minutes |
| Evaluate the lesson plan and proposed lesson. | 40minutes | ||
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
Textbooks
The following textbooks are specified.
(1) Commentary on the Course of Study for Junior High School (2017), Mathematics Edition, Nihon Bunkyo Publishing. (already purchased)
(2) Commentary on the Course of Study for High School (2018), Mathematics and Science Edition, Gakko Tosho. (already purchased)
(3) Government-authorized textbook(instructions will be given in class)
Reference books
The following books are specified as references.
(1) Yoshio Matsuyama and Nobuaki Sato (2015). Mathematics Education Methods, 3rd ed. Gakujutsu Tosho Publishing.
(2) Hideto Takeuchi et al. (2020). Improving Teaching Skills: High School Edition. Keirin-kan.
(3) Yoshishige Sugiyama (2009). An Introduction to Secondary School Mathematics Education. Toyokan Publishing.
The following textbooks are specified.
(1) Commentary on the Course of Study for Junior High School (2017), Mathematics Edition, Nihon Bunkyo Publishing. (already purchased)
(2) Commentary on the Course of Study for High School (2018), Mathematics and Science Edition, Gakko Tosho. (already purchased)
(3) Government-authorized textbook(instructions will be given in class)
Reference books
The following books are specified as references.
(1) Yoshio Matsuyama and Nobuaki Sato (2015). Mathematics Education Methods, 3rd ed. Gakujutsu Tosho Publishing.
(2) Hideto Takeuchi et al. (2020). Improving Teaching Skills: High School Edition. Keirin-kan.
(3) Yoshishige Sugiyama (2009). An Introduction to Secondary School Mathematics Education. Toyokan Publishing.
Prerequisite:
If you have any textbooks from junior high school or high school, it would be a good idea to prepare them as reference books.
It is desirable to be proficient in Microsoft Word and other software when preparing reports such as lesson plans.
(If you are aiming to become a mathematics teacher, it would be good to be able to use TeX if necessary.)
Method of conducting classes:
Each lecture will be conducted in the form of face-to-face classes.
There may be cases where the university supports lectures using Zoom. In such cases, the date and time of the Zoom-delivered lectures will be announced via Scomb.
If you have any textbooks from junior high school or high school, it would be a good idea to prepare them as reference books.
It is desirable to be proficient in Microsoft Word and other software when preparing reports such as lesson plans.
(If you are aiming to become a mathematics teacher, it would be good to be able to use TeX if necessary.)
Method of conducting classes:
Each lecture will be conducted in the form of face-to-face classes.
There may be cases where the university supports lectures using Zoom. In such cases, the date and time of the Zoom-delivered lectures will be announced via Scomb.
In mathematics education, we not only study the content and teaching methods of arithmetic and mathematics, but also compare
curricula in different countries, analyze textbooks, and conduct psychological research into the thinking of learners. Of
course, we also study mathematics itself (its properties and theorems), and in mathematics education, we take a broad view
of mathematics and its value, and research is being conducted in a wide range of areas.
In this course, students will learn how to design lessons that enable them to realize creative mathematical activities as mathematics teachers, based on an overview of the history and outline of the revised Course of Study for mathematics in junior high schools and high schools. Students will not only learn teaching techniques, but also gain a deeper understanding of the analysis of teaching materials. Through the process of creating lesson plans and reviewing lessons, I hope that students will have the opportunity to consider what it means to create lessons in mathematics.
In this course, students will learn how to design lessons that enable them to realize creative mathematical activities as mathematics teachers, based on an overview of the history and outline of the revised Course of Study for mathematics in junior high schools and high schools. Students will not only learn teaching techniques, but also gain a deeper understanding of the analysis of teaching materials. Through the process of creating lesson plans and reviewing lessons, I hope that students will have the opportunity to consider what it means to create lessons in mathematics.
- Tuesday from 12:30〜13:00. Please contact by email in advance.
- Non-social and professional independence development course
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic problem-solving skills
- Course that cultivates a basic interpersonal skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| Applicable | SHIOZAWA Yuki : Tokyo Metropolitan junior high school and high school, mathematics teacher. The class instructor will teach based on his teaching experience |
Last modified : Thu Mar 13 04:11:52 JST 2025