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Appreciations

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 16: What is Multiplication Table
Reflection

Isoda, Masami. Prof., Faculty of Human Sciences
Director of CRICED, The University of Tsukuba, Japan
With collaborations ofWe are reading the JP textbook by using terminology to explain to distinguish every
content of learning and sequence of content for knowing the way to develop children
who learn and think by and for themselves through the preparation of future learning.

Revitalizing
Teacher Education

Adopting a 21stCentury Curriculum

Acquisition

Soledad Estrella and Teh Kim Hong

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

ReviewUsing what you already knew on the past 15 lessons!

Thoseterminology
distinguishtasks andexplain task
sequence
for thepreparationof futurelearning.

2
Review

Why there are four chapters? Why this order?
These Multiplication Chapters are a best
chapter for knowing how Japanese try todevelop students who learn mathematics forthemselves based on what they learned.

L12: How to introduce
column addition andsubtraction

HOTS isMath. T.

Review

L13: How to extend
column addition andL13:subtraction?

For Knowing it, we should review what welearned until last 15 lessons!

 Participants need toconsider what’s new.

 Participants of this program are able to imagine the ways oflearning from the past process of learning.

See the situation for multiplication
Multiplicative Situation A, B, C, …
Pictures & Diagrams
Tape Diagram & Times
By using dishes & boxes
A Set of Group and a number of set

Properties of Rows
MathRows
of expression
Multiplication areMultiplication
binary operations.
as an operation
Proceduralization

Why there are four chapters? Why this order?
Repeatedaddition

Review
A Set of Group x a number of set
How many meanings?

Every two-pages for each row is the same manner! Why?

For Learning How to Extend the Rows

Review
For Learning the ways to extend the multiplication rows

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What is the next Lesson? Can you imagine?

Review

Review
How many meanings?

Conjecturing,
Justifyingand Proving

For Learning How to Extend the Rows

Distribution in action

Meaning is not only coming from situation but…

How do you read thisSee the situation for multiplication
Multiplicative Situation A, B, C, …
Pictures & Diagrams
Tape Diagram & Times
By using dishes & boxes
A Set of Group and a number of set

MathRowsof expression
Multiplication are
Multiplication
binary operations.
as an operation
Properties of Rows & Table

Repeatedaddition

A Set of Group x a number of set

How many representations consistently
used?
For What?

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Grade 1 to 6 for preparation of future learning
Task 1:Learning the ways of problem posing

Task 2
Let’s pose questions!

See you next class!

Up to Junior High School: Could you pose the questions for algebra?

?

?

Up to High School

Algebra arrows us
general reasoning

Gakko Tosho: Study with your friends:
Mathematics for Elementary School Series

References

2005 Edition

10 Editions

2010 Edition

Primary School Textbook
2001 Curriculum2005 Japanese Edition
2005 English Edition↓
2010
Thai Ed.

Junior High S. Textbook
2012 Curriculum2016 Japanese-Edition
2019 English-Edition2020 Indonesian-Edition
202X Thai Ed.

4 Editions

17Isoda, M., Tall, D. (2019). Junior High School
Mathematics Textbook, Gakko Tosho

4 Editions

NEWEST EDITION

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 Edition183

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References
Masami Isoda, Raimundo Olfos edited (2020). Teaching Multiplication with Lesson Study: Japanese and Ibero-American Theories forInternational Mathematics Education. Cham, Switzerland: Springer. (Open Access)
Masami Isoda, Aki Murata (2020). Study with your friends: Mathematics for Elementary School (12 vols.). Tokyo, Japan: Gakko Tosho.
Masami Isoda, Aki Murata, Aida Yap (2015). Study with your friends: Mathematics for Elementary School (12 vols.). Tokyo, Japan:Gakko Tosho.
Masami Isoda, David Tall (2019). Mathematics for Junior High School (3 vols.). Tokyo, Japan: Gakko Tosho.
Dominador Dizon Mangao, Nur Jahan Ahmad, Masami Isoda edited (2017).SEAMEO basic education standards (SEA-BES): Common
core regional learning standards (CCRLS) in mathematics and science . Penang, Malaysia: SEAMEO-RECSAM,
http://www.recsam.edu.my/sub_sea-bes/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 . NewJersey, 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 (2021). Mathematics Challenges for Classroom Practices at the Lower SecondaryLevel. Penang, Malaysia: SEAMEO-RECSAM
Hosomizu, Y. translated by Gould, P. Isoda, M., Foo, C. (2010). Red dragonfly mathematics challenge. Department of Education, NewSouth Wealth. https://schoolsequella.det.nsw.edu.au/file/20a29ac1-c6f3-4ca3-84b1-2d8488a4cbcd/1/reddragonfly.zip/index.html
Hosomizu, Y. translated by Gould, P. Isoda, M., Foo, C. (2011). Companion: Mathematics Challenges. Department of Education, NewSouth Wealth. https://www.mansw.nsw.edu.au/shop/pre-k-8-books/dragonfly-companion

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