2021/3/23
PPT for Lesson 4 on SEAMEO School Network by Isoda, Masami. Prof/PhD, CRICED, University of Tsukuba, Japan: ©Masami Isoda

Free Program for SEAMEO School Networkfrom the University of Tsukuba, Affiliate Member of SEAMEO

Teaching Mathematics to Develop Mathematical Thinking as Higher Order Thinking:

How do you teach? Why?

Lesson 4: How to introduce addition

Number• Existence andnecessity• Order
Larger orSmaller
Greater or Less
• Operations

When we call it as addition?

Review

What is number?

Why JP textbook
teach number on
this sequence?

Isoda, Masami. Prof., Faculty of Human Sciences
Director of CRICED, The University of Tsukuba, Japan

How children get the answer?
In Japan:
Make sense (understand meaning)
Think about how to
calculate/operate/find the easier way
to answer
Acquisition of proficiency

With collaborations ofNguyen Chi Thanh, TEH Kim Hong and Wahid Yunianto
Adopting a 21stCentury Curriculum

Addition is binominal op.

Additional sentence to explain manipulation of concrete and semi-concrete object at the beginning.

Revitalizing
Teacher Education

Try to teach how to extend thenumber

Addition situation for different set

Learning How to Learn from repetition of similar tasks by using what already learned.

Review

Task sequence for preparation of future learning.

Review

How do you explain by using your terminology?

Story Problems
Mathematical Modeling
Altogether Situation A, B, C, …
Concrete Object
Explanation with blocks
manipulative
Semi Concrete Object
Explanation by sentences

Appreciations
Reflection

HOTS isMath. T.

Acquisition
Curriculum Standards: SEABES-CCRLS( by SEAMEO-RECSAM (Mangao, Ahmad, Isoda; 2017)

3

What children learn on this task sequence.

Math expression
Addition: operation
Math sentence
addition

Then, what shall we do next
step: Situation of Increase

Translation into semi concrete ob.
Translation into math-sentence

Altogether Situation (for the translation)

How do you teach addition?

Translation from addition expression to story problem

Set (cardinal) Number
Ordinal Number
Denominated number and quantity

Story Problems
Mathematical Modeling
Increase Situation A, B, C, …
Concrete Object
Explanation with blocks
manipulative
Semi Concrete Object
Explanation by sentences

Math expression
Addition: operation
Math sentence
addition

Understand the way of translation

11

Gakko Tosho has the copyright of the Textbooksin English on this ppt.

2021/3/23
PPT for Lesson 4 on SEAMEO School Network by Isoda, Masami. Prof/PhD, CRICED, University of Tsukuba, Japan: ©Masami Isoda

Gakko Tosho: Study with your friends:
Mathematics for Elementary School Series
Primary School Textbook
2001 Curriculum2005 Japanese Edition
2005 English Edition↓
2010
Thai Ed.

& Mathematization2005 Edition10 Editions

2010 Edition

NEWEST EDITION

Math sentence
addition

What did you learned?
Number• Existence andnecessity• Order
Larger or
Smaller
Greater or Less
• Operations

In Japan:
Make sense (understandmeaning)
Think about how to
calculate/operate/find theeasier way to answer
Acquisition of proficiency

Isoda, M., Tall, D. (2019). Junior High School
Mathematics Textbook, Gakko Tosho
Junior High S. Textbook
2012 Curriculum2016 Japanese-Edition
2019 English-Edition2020 Indonesian-Edition
202X Thai Ed.

4 Editions

Math expression
Addition: operation

4 Editions

Story Problems
Mathematical Modeling
Increase Situation A, B, C, …
Concrete Object
Explanation with blocks
manipulative
Semi Concrete Object
Explanation by words

2012 Mexico Ed.
2019 Chile Pro. Ed.
2011 Curriculum2011 Japanese Edition
2011 English Edition↓
2019 Papua N.G. Edit.
2020 Indonesian Edi.
2020 Chile Ed.
2015 Japanese-Edition
2015 English-Edition2020 Curriculum2020 Japanese Edition2020 English Edition
13References
Altogether toIncrease
VSIncrease toAltogether

Try to teach how to extend
the number

14References
Masami Isoda, Raimundo Olfos edited (2020). Teaching Multiplication with Lesson Study: Japaneseand Ibero-American Theories for International Mathematics Education. Cham, Switzerland: Springer.

(Open Access)
Masami Isoda, Aki Murata (2020). Study with your friends: Mathematics for Elementary School (12vols.). Tokyo, Japan: Gakko Tosho.
Masami Isoda, Aki Murata, Aida Yap (2015). Study with your friends: Mathematics for ElementarySchool (12 vols.). Tokyo, Japan: Gakko Tosho.
Masami Isoda, David Tall (2019). Mathematics for Junior High School (3 vols.). Tokyo, Japan: GakkoTosho.
Dominador Dizon Mangao, Nur Jahan Ahmad, Masami Isoda edited (2017).SEAMEO basic education

standards (SEA-BES): Common core regional learning standards (CCRLS) in mathematics andscience. Penang, Malaysia: SEAMEO-RECSAM, http://www.recsam.edu.my/sub_seabes/images/docs/SEAMEO-ASEAN-Curriculum-SEABES-CCRLS-Standards.pdf

Maitree Inprasitha, Masami Isoda, Patsy Wang Iverson, Ban Har Yap (2015). Lesson Study:
Challenges in Mathematics Education. New Jersey, USA: World Scientific
Masami Isoda, Shigeo Katagiri (2012). Mathematical Thinking: How to develop it in the classroom.
New Jersey, USA: World Scientific

TEH Kim Hong, ISODA Masami, GAN Teck Hock (in printing). Mathematics Challenges for Classroom
Practices at the Lower Primary Level. Penang, Malaysia: SEAMEO-RECSAMISODA Masami, TEH Kim Hong, GAN Teck Hock (in printing). Mathematics Challenges for Classroom
Practices at the Upper Primary Level. Penang, Malaysia: SEAMEO-RECSAMGAN Teck Hock, ISODA Masami, TEH Kim Hong (20augi21). Mathematics Challenges for Classroom
Practices at the Lower Secondary Level. Penang, Malaysia: SEAMEO-RECSAM22

Gakko Tosho has the copyright of the Textbooksin English on this ppt.