National Taiwan Normal University Course Outline
 Spring , 2023

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I.Course information
Serial No. 2644 Course Level Undergraduate / Master
Course Code MAC9041 Chinese Course Name 數學教學實習（二）（IB）
Course Name Teaching Practicum: Mathematics (II) (IB)
Department Department of Mathematics
Two/one semester 1 Req. / Sel. Sel.
Credits 2.0 Lecturing hours Lecture hours: 2
Prerequisite Course
Comment
Course Description
Time / Location Fri. C-D Gongguan MA2-10
Curriculum Goals Corresponding to the Departmental Core Goal
1.　To experience mathematics teach-ing and learning situations in con-texts of regular/bilingual/IBDP secondary schools College:
　1-1 Equipped with professional mathematics competences
　1-3 Being able to think mathematically and critically
　2-1 Being able to communicate and express mathematically
　2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education
　3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity
　4-2 Possessing a consistent and firm attitude toward pursuing truths
　4-3 Possessing a variety of beliefs regarding mathematics values and mathematics learning
Master:
　1-1 Equipped with professional mathematics competences
　1-3 Being able to think mathematically and critically
　2-1 Being able to communicate and express mathematically
　2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education
　3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity
　4-2 Possessing a consistent and firm attitude toward pursuing truths
　4-3 Possessing a variety of beliefs regarding mathematics values and mathematics learning
2.　To advance the competences to realize teaching and learning theories in teaching practice under the consideration of real-life contexts  
3.　To flexibly implement a variety of teaching skills College:
　2-1 Being able to communicate and express mathematically
　2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education
　3-2 Possessing the abilities to think independently, criticize, and reflect
Master:
　2-1 Being able to communicate and express mathematically
　2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education
　3-2 Possessing the abilities to think independently, criticize, and reflect
4.　To advance the competences to realize teaching and learning theories in teaching practice under the consideration of real-life contexts College:
　2-3 Being able to lead or collaboratively work with peers
　2-4 Possessing the competences of lifelong learning
　3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity
　3-3 Being willing to work collaboratively
　4-1 Being knowledgeable and being able to self-develop in the profession
　4-2 Possessing a consistent and firm attitude toward pursuing truths
　4-3 Possessing a variety of beliefs regarding mathematics values and mathematics learning
Master:
　2-3 Being able to lead or collaboratively work with peers
　2-4 Possessing the competences of lifelong learning
　3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity
　3-3 Being willing to work collaboratively
　4-1 Being knowledgeable and being able to self-develop in the profession
　4-2 Possessing a consistent and firm attitude toward pursuing truths
　4-3 Possessing a variety of beliefs regarding mathematics values and mathematics learning

II. General Syllabus
Instructor(s) CHU, Chi-Tai/ 朱啟台
Schedule

(2 weeks) Teaching mathematics for understanding through inquiry-based and student-centered teaching approaches

(1 week) Field-observations in the practicum school

(3 weeks) Developing lesson plans for the teaching practicum & Micro-teaching for the teaching practicum

(6 weeks) Teaching practicum

(6 weeks) Presenting, discussing, evaluating, and reflecting on the teaching practicum

Instructional Approach
Methods Notes
Group discussion Students will explain and discuss their ideas and teaching plans, they also have to present, discuss, evaluate, and reflect on their own and their peers’ teaching practicum
Cooperative learning Students have to cooperate with their peers to prepare their micro teaching and teaching practicum
Lab/Studio Students will have their teaching practicum in secondary schools
Field work Students will have field-observations in the practicum school and writing reports
Media, audio, visual materials Students have to integrate technology in their teaching
Grading assessment
Methods Percentage Notes
Assignments 20 % Observation report, Teaching plan
Class discussion involvement 10 % Peer-evaluations
Presentation 20 % Reflective reports
other: 50 % Performance in the practicum school
Required and Recommended Texts/Readings with References

1.          Mathematics standard level (textbook of IBDP)

2.          Mathematics higher level(textbook of IBDP)

3.          2015 Guide: Approaches to Teaching and Learning (ATL) in the DP

4.          Information on IBDP websites (e.g., the DP curriculum, sub-ject briefs of mathematics)

5.          Niss, M., & Højgaard, T. (Eds.) (2011). Competencies and mathematical learning: ideas and inspiration for the develop-ment of mathematics teaching and learning in Denmark. Ros-kilde: IMFUFA, Roskilde university.

6.          Krathwohl, D. R. (2002). A revision of Bloom’s taxonomy: An overview. Theory in to Practice, 41(4), 212-218.

7.          Watson, A., Jones, K., and Pratt, A. (2013) Key Ideas in Teach-ing Mathematics: Research-based guidance for ages 9 - 19. Ox-ford University Press.

8.          Small, M. and Lin, A. (2015) More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction. Teachers College Press.

9.          Van De Walle, Karp, Bay-Williams (2014) Teaching Mathemat-ics in the 21st Century. In: Van De Walle, Karp, Bay-Williams Elementary and Middle School Mathematics Teaching Devel-opmentally. Chapter 1. Pearson New International Press.

10.      中學課本

11.      十二年國民基本教育課程綱要總綱、數學領域課程綱要

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