4S1 四邊形

spkwan, Oct 12, 2018

Table of Contents

  1. 前言
    1. About this Book (4S1)
  2. 1. 各種四邊形的性質
    1. Drawing quadrilaterals on the grid or the pinboard
    2. 工作紙: 幾何板上的四邊形
    3. 一些值得討論的學生記錄
    4. 來做小老師
    5. Geoboards online
  3. 2. 邊長與四邊形
    1. 四邊形與幾何條
    2. 工作紙: 繪畫未完成的四邊形
    3. Kahoot
    4. nearpod
  4. 3. 四邊形: 辨別與分類
    1. 預習工作紙: 四邊形分類
    2. 1.4.2b Identifying Quadrilaterals
    3. 把四邊形分類
    4. 直尺推平行線
    5. 工作紙: 四邊形齊分類
  5. 4. 延伸學習活動
    1. 學生拍攝短片描述長方形的特性
    2. nrich.maths.org: Quadrilaterals
    3. Play Chomp!
    4. trapezium - folding
    5. rhombus - folding
    6. One-Cut Challenge: Quadrilaterals
  6. 5. 參考資料
    1. Quadrilaterals & Polygons
    2. 四邊形的教學設計
    3. NCTM Journals
    4. Fold & One Cut
  7. 回顧
    1. Looking Back (4S1)

1.

前言

  • 1. About this Book (4S1)

1.1.

About this Book (4S1)

[u]My Acknowledgments to these GeoGebra Authors[/u][br][br]Hannu Korhonen's 'geolaudan neliöt' is one of my favorite geoboards for carrying out classroom activities. Nevertheless he has set it as a private app. To respect his choice, a similar app written by him (viz. 'n x n -geolauta') is enclosed in this book.[br][br]The construction by Anthony Or - 'Drawing quadrilaterals on the grid/pinboard' is also my favorite. Its Chinese version named '方格紙上畫四邊形' is also available.[br][br]In compare with GeoBoard/PinBoard, not much is found for GeoStrips. Both 'http://ggbm.at/ncykVxTJ' (Antthony Or) and 'http://ggbm.at/d5BkmARK' (Arthur Lee) are not written for this purpose. Hence my simple one is inserted.[br][br]For the theme on 'Classifying and Identifying Quadrilaterals', tzunfung/Jack D. Gittinger and Anthony's apps are selected for class activities.[br][br]Being an origami lover, I enjoy much in reading chris cambré's GGbook 'http://ggbm.at/NJ3EKuyb' on 'Folding Paper, Doing Geometry Figures'.[br][br]This book can hardly be complied without the efforts of these authors.[br][br][u]About the Teaching Content[/u][br][br]Considering the average cognitive development of pupils at primary 4, I prefer to introduce the concept of kite, polygon, regular polygon and diagonal as well.[br][br]Please be reminded to build up pupils' habit of recording their geoboard/pinboard activities in the worksheet provided. Mathematical notations should be introduced and brief description in words are helpful.
[size=85]first edition 2018/10/12[br]revised on 2018/11/29[/size]
– spkwan

2.

1. 各種四邊形的性質

  • 1. Drawing quadrilaterals on the grid or the pinboard
  • 2. 工作紙: 幾何板上的四邊形
  • 3. 一些值得討論的學生記錄
  • 4. 來做小老師
  • 5. Geoboards online

2.1.

Drawing quadrilaterals on the grid or the pinboard

Anthony C.M. Or[br]GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

2.2.

–

2.3.

–

2.4.

–

2.5.

–

3.

2. 邊長與四邊形

  • 1. 四邊形與幾何條
  • 2. 工作紙: 繪畫未完成的四邊形
  • 3. Kahoot
  • 4. nearpod

3.1.

四邊形與幾何條

2018/10/11
[size=100]學生記錄[/size]
圖形 J
Kahoot
– spkwan

3.2.

–

3.3.

–

3.4.

–

4.

3. 四邊形: 辨別與分類

  • 1. 預習工作紙: 四邊形分類
  • 2. 1.4.2b Identifying Quadrilaterals
  • 3. 把四邊形分類
  • 4. 直尺推平行線
  • 5. 工作紙: 四邊形齊分類

4.1.

預習工作紙: 四邊形分類

– spkwan

4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

4. 延伸學習活動

  • 1. 學生拍攝短片描述長方形的特性
  • 2. nrich.maths.org: Quadrilaterals
  • 3. Play Chomp!
  • 4. trapezium - folding
  • 5. rhombus - folding
  • 6. One-Cut Challenge: Quadrilaterals

5.1.

學生拍攝短片描述長方形的特性

謝謝文潔碧老師的分享!
– spkwan

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

6.

5. 參考資料

  • 1. Quadrilaterals & Polygons
  • 2. 四邊形的教學設計
  • 3. NCTM Journals
  • 4. Fold & One Cut

6.1.

Quadrilaterals & Polygons

Math is Fun
https://www.mathsisfun.com/quadrilaterals.html
Cut-the-Knot
http://www.cut-the-knot.org/Curriculum/Geometry/Quadrilaterals.shtml
多邊形/多角形
– spkwan

6.2.

–

6.3.

–

6.4.

–

7.

回顧

  • 1. Looking Back (4S1)

7.1.

Looking Back (4S1)

In retrospection, here are some questions for consideration:[list=1][*]How to select suitable GeoGebra apps for pupils?[/*][*]What are the common pitfalls in learning quadrilaterals?[/*][*]Which three main themes of study are selected in this book?[/*][*]When do pupils first come in touch with quadrilaterals in the curriculum? What should be the learning outcomes expected in their level?[/*][*]Which session(s) is/are related closely with this part in pupils' future study?[/*][*]What are the pros and cons of GeoGebraBooks? How to use them effectively in classrooms?[/*][*]What should be the major considerations in designing worksheets?[br][/*][*]How to provide feedbacks to pupils? What follow-up work is necessary?[/*][*]Do you like origami? In what ways does paper-folding provide help in learning/teaching quadrilaterals?[br][/*][*]Please kindly give your opinions and suggestions on this GeoGebraBook.[/*][/list]Thank You!
– spkwan

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