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

1.

1. 簡介、數字 0-9

  • 1. 從歲月的童話談起
  • 2. GeoGebra in Primary Mathematics Classrooms
  • 3. GeoGebraTube - All Digits
  • 4. The digit sequence 123456789

1.1.

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[br]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[br] https://www.ggbm.at/jn59k4cy[br]b) 分數除法[br] Anthony OR https://www.ggbm.at/cKGuqU8M[br] Steve Phelps https://www.ggbm.at/tu47hfhq
– spkwan

1.2.

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1.3.

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1.4.

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2.

2. 蟲食算/字謎/填充題

  • 1. 乘加挑戰題
  • 2. All the Digits
  • 3. 除法直式謎題
  • 4. 除法直式謎題 L1
  • 5. Division Challenge

2.1.

乘加挑戰題

– spkwan

2.2.

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2.3.

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2.4.

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2.5.

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3.

3. 魔幻數形

  • 1. The 'Addition Triangles'
  • 2. Magic Triangle
  • 3. Magic Triangle
  • 4. Magic Crosses

3.1.

The 'Addition Triangles'

2021/10/28 1E[br]'The Addition Triangles' https://www.geogebra.org/m/z4nwxwcq
2021/11/17 1E[br]In how many ways can 12 pupils be divided into 2 groups?
'Addition Triangle' 1
'Addition Triangle' 2
'Addition Triangle' 3
worksheet template
2021/12/09 1D
class discussion
A 1D boy's request
”Can you send the photo to my mom and let her have a look?”[br]2021/12/16
variations
1. Arithmogon Triangle Puzzle 1[br] https://s3-us-west-1.amazonaws.com/math-salamanders/Fun-Worksheets/Math-Puzzles/2nd-Grade/arithmogon-triangle-puzzle-2a.pdf[br]2. Arithmogon Triangle Puzzle 2[br] https://s3-us-west-1.amazonaws.com/math-salamanders/Fun-Worksheets/Math-Puzzles/2nd-Grade/arithmogon-triangle-puzzle-2b.pdf[br]3. Magic Triangles[br] https://aritgram.com/wp-content/uploads/2021/04/magic-triangles-with-boards.pdf[br] https://mathforlove.com/lesson/magic-triangles/[br] https://nrich.maths.org/1983[br] https://www.ggbm.at/t3mqbkyb
– spkwan

3.2.

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3.3.

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3.4.

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4.

4. 骰子遊戲

  • 1. 五位數 & 骰子活動

4.1.

五位數 & 骰子活動

隨機數字 1-6
數碼骰子 Virtual Dice
NRICH[br]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
工作紙
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)
[size=85]https://docs.google.com/presentation/d/1UIaPV0SvGzRwrhRpdN6XgRjuQmxVz3xT/edit?usp=sharing&ouid=109080646902023194226&rtpof=true&sd=true[/size]
參考資料
1. NRICH [math]Playing[/math] [math]with[/math] [math]Dice[/math] https://nrich.maths.org/8311[br]2. Lynda R. Wiest [math]Fostering[/math] [math]number[/math] [math]sense[/math] [math]through[/math] [math]digits[/math] [math]\&[/math] [math]dice[/math][br] https://www.researchgate.net/publication/234661837_Fostering_Number_Sense_through_Digits_and_Dice[br]3. Nancy Segal Janes[br] [math]Exploring[/math] [math]Math[/math] [math]with[/math] [math]Polyhedra[/math] [math]Dice[/math][br] [math]Problem[/math] [math]Solving[/math] [math]with[/math] [math]Polyhedra[/math] [math]Dice[/math]
– spkwan

5.

5. 教師創作室

  • 1. Addition & Subtraction
  • 2. 加和減
  • 3. 直式三位數加法
  • 4. 除加/減混合算題

5.1.

Addition & Subtraction

Select 5 numerals to build up a correct expression.
Some Useful Tools
Virtual Base Ten Blocks[br]1. Math Learning Center: https://apps.mathlearningcenter.org/number-pieces/[br]2. Cool math 4 kids: https://www.coolmath4kids.com/manipulatives/base-ten-blocks[br][br]Paper Base Ten Blocks & Reader[br]3. https://www.geogebra.org/m/y4jwa8g8
– spkwan

5.2.

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5.3.

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5.4.

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6.

6. 活動題

  • 1. Wheel of Numbers
  • 2. 'Activity Problem' - Equation 2017
  • 3. 'Activity Problem' - 2018

6.1.

Wheel of Numbers

– spkwan

6.2.

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6.3.

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7.

7. 挑戰題

  • 1. How to tackle the problem?
  • 2. A Divisibility Game - Identify the Spy
  • 3. Light Bulb Problem
  • 4. 雉兔同籠
  • 5. 李白買酒

7.1.

How to tackle the problem?

[size=85]Acknowledgement: Ronald Chow, LKKB.[/size]
– spkwan

7.2.

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7.5.

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