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數字之旅
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1. 1. 簡介、數字 0-9
- 從歲月的童話談起
- GeoGebra in Primary Mathematics Classrooms
- GeoGebraTube - All Digits
- The digit sequence 123456789
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2. 2. 蟲食算/字謎/填充題
- 乘加挑戰題
- All the Digits
- 除法直式謎題
- 除法直式謎題 L1
- Division Challenge
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3. 3. 魔幻數形
- The 'Addition Triangles'
- Magic Triangle
- Magic Triangle
- Magic Crosses
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4. 4. 骰子遊戲
- 五位數 & 骰子活動
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5. 5. 教師創作室
- Addition & Subtraction
- 加和減
- 直式三位數加法
- 除加/減混合算題
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6. 6. 活動題
- Wheel of Numbers
- 'Activity Problem' - Equation 2017
- 'Activity Problem' - 2018
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7. 7. 挑戰題
- How to tackle the problem?
- A Divisibility Game - Identify the Spy
- Light Bulb Problem
- 雉兔同籠
- 李白買酒
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數字之旅
spkwan, Feb 19, 2022

created on 2022/02/25 for PDP MTH5137 updated on 2022/03/12
Table of Contents
- 1. 簡介、數字 0-9
- 從歲月的童話談起
- GeoGebra in Primary Mathematics Classrooms
- GeoGebraTube - All Digits
- The digit sequence 123456789
- 2. 蟲食算/字謎/填充題
- 乘加挑戰題
- All the Digits
- 除法直式謎題
- 除法直式謎題 L1
- Division Challenge
- 3. 魔幻數形
- The 'Addition Triangles'
- Magic Triangle
- Magic Triangle
- Magic Crosses
- 4. 骰子遊戲
- 五位數 & 骰子活動
- 5. 教師創作室
- Addition & Subtraction
- 加和減
- 直式三位數加法
- 除加/減混合算題
- 6. 活動題
- Wheel of Numbers
- 'Activity Problem' - Equation 2017
- 'Activity Problem' - 2018
- 7. 挑戰題
- How to tackle the problem?
- A Divisibility Game - Identify the Spy
- Light Bulb Problem
- 雉兔同籠
- 李白買酒
從歲月的童話談起
1. 歲月的童話
2. 從歲月的童話談數學教育
3. Richard R. Skemp - Relational and Instrumental Understanding

a) https://www.atm.org.uk/write/mediauploads/resources/richard_skemp.pdf
b) https://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2006/Vol12/Issue2/Relational-Understanding-and-Instrumental-Understanding/
4. (a) 真分數相乘(分母≤10)

4. (b) 真分數相乘(分母≤10)

5. 分數乘除
a) 分數乘法 分析課
https://www.ggbm.at/jn59k4cy
b) 分數除法
Anthony OR https://www.ggbm.at/cKGuqU8M
Steve Phelps https://www.ggbm.at/tu47hfhq
The 'Addition Triangles'







2021/10/28 1E
'The Addition Triangles' https://www.geogebra.org/m/z4nwxwcq

2021/11/17 1E
In how many ways can 12 pupils be divided into 2 groups?
'Addition Triangle' 1

'Addition Triangle' 2

'Addition Triangle' 3


2021/12/09 1D
A 1D boy's request

”Can you send the photo to my mom and let her have a look?”
2021/12/16
variations
1. Arithmogon Triangle Puzzle 1
https://s3-us-west-1.amazonaws.com/math-salamanders/Fun-Worksheets/Math-Puzzles/2nd-Grade/arithmogon-triangle-puzzle-2a.pdf
2. Arithmogon Triangle Puzzle 2
https://s3-us-west-1.amazonaws.com/math-salamanders/Fun-Worksheets/Math-Puzzles/2nd-Grade/arithmogon-triangle-puzzle-2b.pdf
3. Magic Triangles
https://aritgram.com/wp-content/uploads/2021/04/magic-triangles-with-boards.pdf
https://mathforlove.com/lesson/magic-triangles/
https://nrich.maths.org/1983
https://www.ggbm.at/t3mqbkyb
五位數 & 骰子活動
隨機數字 1-6


數碼骰子 Virtual Dice
NRICH
https://nrich.maths.org/virtualdice/responsive.html
3D 五位數

十面骰 2021/09/14
3D 五位數

2021/09/14
3D 五位數

卓楠、旻軒 2021/09/14,15
數學難題 1

3D 嘉嬈 2021/09/20
數學難題 2&3

3D 尚怡、茹淳 2021/09/20
算柱 (ppt)
https://docs.google.com/presentation/d/1UIaPV0SvGzRwrhRpdN6XgRjuQmxVz3xT/edit?usp=sharing&ouid=109080646902023194226&rtpof=true&sd=true
參考資料
1. NRICH https://nrich.maths.org/8311
2. Lynda R. Wiest
https://www.researchgate.net/publication/234661837_Fostering_Number_Sense_through_Digits_and_Dice
3. Nancy Segal Janes

Addition & Subtraction
Select 5 numerals to build up a correct expression.


Some Useful Tools
Virtual Base Ten Blocks
1. Math Learning Center: https://apps.mathlearningcenter.org/number-pieces/
2. Cool math 4 kids: https://www.coolmath4kids.com/manipulatives/base-ten-blocks
Paper Base Ten Blocks & Reader
3. https://www.geogebra.org/m/y4jwa8g8
Wheel of Numbers


How to tackle the problem?


Acknowledgement: Ronald Chow, LKKB.
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