Announcement of the online program for SEAMEO School Network (free of charge), 2024
Online Program by CRICED, University of Tsukuba, Japan
Title:
Mathematical Thinking VII: How to develop it at Lower Secondary Level through Problem
Solving Approach
Provided by
CRICED, University of Tsukuba: Affiliate Member of SEAMEO
Lectured by
Masami Isoda, Prof/PhD, University of Tsukuba, Japan
With contribution of (tentative)
Sumardyono, Sri Wulandari Danoebroto, Uki Rahamawati, Wahid Yunianto et al:
SEAMEO Qitep Mathematics, Indonesia, Maitree Inprasitha, Narumon Changsri,
Nisakorn Boonsena & Uk Inprasitha: Khon Kaen University, Thailand., Wan Noor
Adzmin Binti Mohd Sari: SEAMEO RECSAM, Malaysia., Nguyen Chi Thanh: Vietnam
National University, Viet Nam., Aida Yap, Guillermo Bautista Jr.: UP-NISMED, Teh Kim
Hong & Gan Tech Hock: ASMEP, Malaysia., Marcela Santillan: Universidad Pedagogica
Nationale, Mexico., Raimundo Olfos & Soledad Estrella: Pontificia Catholic Universityof Valparaiso, Chile., Yuriko Yamamoto Baldin: Universidade Federal de São Carlos,Brazil.
Course Summary
This course focuses on how to develop Mathematical Thinking in classroom as a part of Higher
Order Thinking Skills (HOTS) in mathematics at the Lower Secondary School Level. On this theme,
CRICED had provided the online courses ‘Mathematical Thinking I~VI.’ Most of them focused onPrimary School Level. This new course ‘Mathematical Thinking VII’ focuses on the Lower
Secondary School Level for Problem-Solving Approach, in another words ‘Teaching throughProblem Solving.’ It is the familiar approach in Japan to develop mathematical thinking based onwhat students already learned and to prepare the future/further learning which is now well known
in the world through these courses.
For the primary school teachers, it is also meaningful to learn how primary school mathematics
progress and extend at the lower secondary school. Because teachers already knew mathematics
at least upper secondary level, it is not easy for them to distinguish between primary andsecondary level mathematics and then, it provides the origin of misconceptions for students.
Primary school teachers are possible to prepare students who challenge further learning at lower
secondary level with enjoyment if they know what students will learn in near future.
To explain how to develop mathematical thinking, this course will refer Southeast Asia
Mathematics Curriculum Standards (SEA-BES: CCRLS Mathematics), English Edition ofJapanese Mathematics Textbooks published by Gakko Tosho which are adapted into Indonesia
and Thailand, as well as other international documents and so on.

Course Roadmap for Mathematical Thinking VII in 2024
TopicTitle of Lesson (tentative)

Schedule(Tentative)

Mathematical

1. On Challenges from Letter to Algebra

Thinking VII:

2.

Lower

Proportion and functions

Secondary

3. On Challenges of the Extension of Numbers

August 21stLevel

4. Task Sequence for Problem Solving Approach

SeptemberOnChallenges

fromProportionality

August 7thtoAugust 14thwith Dialectic

4th

All the lessons will begin on Wednesday afternoon from 14:00 (Japan time GMT+9) througha live streaming via YouTube. Each lesson will be approximately 75 minutes long which includes
assessment. Certificate will be provided for the participants who have completed all 4 assignments
for the lesson by the set due date.
Registration for this course: Mathematical Thinking VII (Deadline June 25th, 2024):
https://forms.gle/WRvHRtpdC4MwoBgH6
Registration for the orientation on June 18th, 11:15-13:00 (GMT+9)
Please join the orientation to know more about the course and the platform. Sign Up for theOrientation
Contact
Masami Isoda, Prof/PhD. Director of CRICED, University of Tsukuba, 305-8572, Japan.
Further Information
Under Construction (To be developed in the CRICED website CRICED | SEAMEO School
Network from CRICED-University of Tsukuba )Reference
Past courses:
https://www.criced.tsukuba.ac.jp/online-contents.html
Mathematical Thinking:https://bibliotecadigital.mineduc.cl/bitstream/handle/20.500.12365/17706/20_Mathematical%
20Thinking%20How%20to%20Develop%20it%20in%20the%20Classroom.pdf
https://www.researchgate.net/publication/337875130_Masami_Isoda_Shigeo_Katagiri_2016_Pensamiento_matematico_Como_desarrollarlo_en_la_sala_de_cl
ases_Coordinacion_Segunda_edicion_Roberto_Araya_CIAE
Southeast Asia Mathematics Curriculum Standards:
https://www.criced.tsukuba.ac.jp/locked/SEABES_CCRLS_in_Mathematics_and_Science.pdf

https://www.criced.tsukuba.ac.jp/locked/Maths_Challenges_Classroom_Practices_Lower_Se
condary_Level.pdf
Textbook:
Masami Isoda & David Tall (Eds). (2019). Junior High School Mathematics, 1, 2 & 3. Tokyo:
Gakko Tosho. (as English Edition, and its Indonesia & Thai Adapted Editions)