Mathematics Teaching 2
TeachersFUKUDA, Chieko
Grade, SemesterYear 3 2nd semest [Licence Course]
CategoryTeacher Licence Subjects
Elective, CreditsRequisites 2credit
 Syllabus Number

Course Description

It is necessary for students who want to get a teacher's license of high school mathematics to study both this course and "Mathematics Teaching 1".
In this course, students will learn the framework of high school mathematics which includes Mathematics II, Mathematics B and Mathematics III using "Course of Study of high school mathematics" (edited by Ministry of Education). After that, students will produce a trial lesson. That is, they will analyze the purpose of the lesson, make a lesson plan, conduct the trial lesson, evaluate it and improve it. Through those activities, students learn communication skills in the classroom, methods of developing teaching materials and methods of using technologies in the classroom as needed.

Course Objectives

(1) Students can acquire the necessary mathematical knowledge as teachers of high school mathematics and can utilize them for teaching materials.
(2) Students can review high school mathematics from teacher's perspective and explain the system of high school mathematics.
(3) Students can design a trial lesson plan of high school mathematics and conduct it.
(4) Students can look back the trial lesson and find the viewpoint of improving the lesson.
(5) Students can understand the effective use of educational software and other information equipment, and can utilize them for lesson design.

Grading Policy

(1) Submitted items (Teaching plan and lesson plan written by the student who conducts a trial lesson, evaluation of trial lesson written by others). (35%) We will return them after scoring.
(2) 7 reports. (35%). We will return them after scoring.
(3) A term-end examination is conducted at the end of the term. (30%). Example answer and explanation are presented on LMS.

Textbook and Reference

KindTitleAuthorPublisher
TextbookMathematics textbooks used in high school
TextbookCOURSE OF STUDY for High Schools Mathematics
ISBN-13: 9784762505355
edited by Ministry of educationGakkoutosho
ReferencesCOURSE OF STUDY for Junior High Schools Mathematics
ISBN-13: 978-4536590129
edited by Ministry of educationNihonn Bunkyou-shuppan Osaka
ReferencesSoftware for mathematic education: “GeoGebra” and “Grapes”

Requirements(Assignments)

Pattern 1: Summarizes the mathematical content for each Unit
1) Pre-assignment: while referring to the list of teaching materials, please check the content of high school textbook and solve the basic questions. The answer is presented on LMS, so check it by oneself. (60 minutes)
2) In classes: we will summarize the contents of the unit, the points and the positioning in COURSE OF STUDY. In addition, students solve advanced problems in group work, and discuss them to other students.
3) Post-assignment: Students submit a report of the advanced problems in group work. (60 minutes)

Pattern 2: Lessons that cultivate practical skills during trial lessons.
1) Pre-assignment: In advance, a practice teacher discusses with his/her teacher about guidance proposals and prepares it. Other students should prepare the draft proposal and submit it in the class. (100 minutes)
2) In classes: the practice teacher conducts trial lesson and the other members evaluate according to the theme of the lesson. After the trial lesson, you will bring the evaluation and discuss with the group.
3) Post-assignment: We will submit the evaluation on trial lesson, based on group discussions. In junior high school and high school, it is important that students themselves feel mathematics is fun, touch mathematics, think by themselves, and discover mathematics. I want to devise a way to enjoy math by participating students while actually making teaching materials and doing simulated lessons. I would like for students to actively make remarks and participate.

Note

In the first lesson, we will distribute a list of teaching materials which includes the theme of each lesson, the unit name of high school textbook, the scope of COURSE OF STUDY and basic questions.
Each lesson consists of 2 patterns:

Schedule

1Distribution of List of teaching materials, on how to proceed with lesson.
Pattern 1: the mathematical contents are Exponent functions and Logarithmic functions (Mathematics II).
2Pattern 2: the theme of the trial lesson is how to make a lesson plan.
3Pattern 1: the mathematical contents is Trigonometric functions (Mathematics II)
4Pattern 2: the theme of the trial lesson is assessment.
5Pattern 1: the mathematical contents is Calculus (Mathematics II)
6Pattern 2: the theme of the trial lesson is motivation.
7Pattern 1: the mathematical contents is Sequences (Mathematics B)
8Pattern 1: the mathematical contents is Vectors (Mathematics B)
9Pattern 2: the theme of the trial lesson is how to use a blackboard or other teaching tool (include ICT).
10Pattern 1: the mathematical contents is Curves on a plane (Mathematics III)
11Pattern 1: the mathematical contents is Complex Geometry (Mathematics III)
12Pattern 1: the mathematical contents is Limits (Mathematics III)
13Pattern 1: the mathematical contents is Differentiation (Mathematics III)
14Pattern 1: the mathematical contents is Integration (Mathematics III)
15Self-assessment by a portfolio