2021/3/23

In JapaneseNumerals In English as a language
Free Program for SEAMEO School Networkfrom the University of Tsukuba, Affiliate Member of SEAMEO

Cardinal Number (set number):

Teaching Mathematics to Develop Mathematical Thinking as Higher Order Thinking:

One, two, three, ….nine, ten, eleven, twelve, …,nineteen, twenty, twenty-one(20+1), …, thirty,thirty-one, … not exact base ten system?

How do you teach? Why?

Lesson 3: What is Number?

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With collaborations ofCentury Curriculum

Ordinal Number：C.N.＋番(ban)Ichi-ban, ni-ban, san-ban, …

First, Second, Third, Forth, …, ninth, tenth, eleventh,…, nineteenth, twentieth, twenty first, …

Multiple:
Once (one time), twice(two times),thrice(three times), …
Half, double (twofold), triple (threefold), …

Nguyen Chi Thanh, TEH Kim Hong and Wahid Yunianto
Revitalizing
Teacher Education

Multiple: C.N.＋倍(bai)Ichi-bai, ni-bai, san-bai, …
Number shows magnitude (size) but
not show the quantity.

Quantity (amount/measure) isrepresented by number withdenomination.
ʻ3 applesʼ are denominated number:an apple is the unit for counting(measurement). 3 is a number.

Appreciations

HOTS isMath. T.

Reflection

What is the number?
We usually teach:

How do you teach?
Make sense?
Acquisition of proficiency?

• Existence and necessity

For what?
Number sense?

• Order/Larger or Smaller/
Greater or Less

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

Learning How to Learn from Repetition of similar tasks by using what already learned.
Task sequence for preparation of future learning.

Historically Hitotsu, Futatsu, Mittsu, …, To (ten)Ordinal Number:

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

Adopting a 21stCardinal Number (set number):Ichi, ni, san,…, jyu (ten),jyu (ten)-ichi (one) (eleven), jyu-ni(ten+two)… exact base tensystem

How about in your language?

• Operations

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

2How many?

Set (cardinal) Number VS Ordinal Number, only that?

Term: Composition (combine) and decomposition (split) of numbers

What is number?
Why JP textbook
teach number on
this sequence?

Counting unit is not necessary to be a one.
Count by one, Count on
Which one, do you teach?
• Count by two• Count by three• Count by four
• Count by five
Why?

What is number?
Why JP textbook
teach number on
this sequence?

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References
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-RECSAM

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

2005 Edition

10 Editions

2010 Edition

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

4 Editions

4 Editions

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

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
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