數學的教與學及評估_Talk15June

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數學的教與學及評估_Talk15June

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  1. 15th June, 2015

    Slide 1 - 15th June, 2015

  2. Teaching

    Slide 2 - Teaching

    • Learning
    • Assessment
    • Curriculum
    • Lesson
    • 羅浩源(2015) 。《想‧教 想‧學 ─ 13 課數學教育的實錄與反思》, 香港數學教育學會。
  3. http://msmunafo.weebly.com/math-flipped-videos.html

    Slide 3 - http://msmunafo.weebly.com/math-flipped-videos.html

  4. Slide 4

    • http://epaper.heeact.edu.tw/archive/2013/01/01/5915.aspx
  5. https://todaysmeet.com/WS

    Slide 5 - https://todaysmeet.com/WS

  6. https://todaysmeet.com/WS

    Slide 6 - https://todaysmeet.com/WS

  7. https://www.youtube.com/watch?v=as7ioM80K38

    Slide 7 - https://www.youtube.com/watch?v=as7ioM80K38

    • https://www.youtube.com/watch?v=Uu5NxKHoSh8
  8. http://www.edudemic.com/web-tools-for-flipped-classrooms/

    Slide 8 - http://www.edudemic.com/web-tools-for-flipped-classrooms/

    • https://www.polleverywhere.com/
    • https://mix.office.com/Home/Setup
  9. 0 是正數還是負數?何謂正數?何謂負數?

    Slide 9 - 0 是正數還是負數?何謂正數?何謂負數?

    • 涉及 定義 問題
  10. 涉及 定義 問題

    Slide 10 - 涉及 定義 問題

    • 何謂 3 位小數? 何謂 3位有效數字?
  11. 9MC4 Q11  2014

    Slide 11 - 9MC4 Q11 2014

    • 多邊形是平面的封閉圖形、由有限線段(大於2)組成,且首尾連接起來劃出的形狀。
    • A plane shape (two-dimensional) with straight sides.
    • 涉及 定義 問題
  12. Slide 12

    • 3MC3 Q35 2014
  13. What is a Definition ?

    Slide 13 - What is a Definition ?

    • Definitions are descriptions of objects or ideas and relationships between objects.
    • For example, “Lines that are at right angles (90°) to each other”.
    • Mathematical definition is a precise(準確),
    • unambiguous (不含糊) description
    • of an idea which everyone agrees.
    • A definition does not contain unnecessary or redundant information about the object. In other words, it does not include properties that can be deduced from other parts of the definition.
  14. 14

    Slide 14 - 14

    • 定義 vs 特性
  15. 平行四邊形是四邊形, 並且

    Slide 15 - 平行四邊形是四邊形, 並且

    • 兩組對邊的長度分別相等
    • 兩組對邊分別互相平行
    • 兩組對角相等
    • D. 鄰角相加是相等於兩個直角
    • 問題:你認為平行四邊形的定義是 …
  16. 小學數學新思維 (教育出版社)

    Slide 16 - 小學數學新思維 (教育出版社)

    • 廿一 世 紀 現 代 數 學 (現代出版社)
    • - 何謂平行線?
  17. 17

    Slide 17 - 17

    • 半圓以它的直徑為旋轉軸,旋轉所成的曲面叫做球面。
    • 球面所圍成的幾何體叫做球體。
  18. 18

    Slide 18 - 18

    • Teaching mathematics is not the same as standing at the board and doing mathematics in front of students… (Ball & Bass, 2003).
  19. Slide 19

    • 19
  20. 

    Slide 20 - 

    • 20
  21. “…deconstruct[ing] one’s own mathematical knowledge into less polished and final form, where elemental components are accessible and visible…”

    Slide 21 - “…deconstruct[ing] one’s own mathematical knowledge into less polished and final form, where elemental components are accessible and visible…”

    • (Ball & Bass, 2000, p. 98).
    • 21
  22. 3MC2 Q33 2014

    Slide 23 - 3MC2 Q33 2014

  23. 24

    Slide 24 - 24

  24. 3MC2 Q32  2014

    Slide 26 - 3MC2 Q32 2014

  25. 定義 vs 特性

    Slide 27 - 定義 vs 特性

  26. 3MC4 Q28  2014

    Slide 28 - 3MC4 Q28 2014

  27. 迷思概念

    Slide 29 - 迷思概念

  28. 迷思概念

    Slide 30 - 迷思概念

    • 2.2 %
    • 2008 3M2 Q33
  29. 3MC2 Q34  2014

    Slide 31 - 3MC2 Q34 2014

    • 梯形定義:只有一組對邊平行的四邊形
  30. 3MC3 Q31  2014

    Slide 32 - 3MC3 Q31 2014

  31. Which of the following best explains “division by 0 is undefined” ?

    Slide 33 - Which of the following best explains “division by 0 is undefined” ?

    • A. Division by 0 is undefined because you cannot do it.
    • B. Division by 0 is undefined because you cannot make 0 groups of something.
    • C. Division by 0 is undefined in school curricula because college-level mathematics is needed to do this calculation.
    • D. Division by 0 is undefined because there is no single answer that when multiplied by the divisor 0 gives the original number.
    • E. Division by 0 is undefined because every number divided by 0 equals 0.
  32. https://www.polleverywhere.com/

    Slide 34 - https://www.polleverywhere.com/

  33. PollEv.com/wingsum

    Slide 35 - PollEv.com/wingsum

  34. Slide 36

    • PollEv.com/wingsum
  35. Slide 37

    • https://www.polleverywhere.com/login
  36. 3MC2 Q31  2014

    Slide 39 - 3MC2 Q31 2014

  37. 哪一題最困難 ?

    Slide 40 - 哪一題最困難 ?

  38. Slide 42

    • 9MC1 Q15 2014
  39. A

    Slide 43 - A

    • B
    • C
    • D
  40. 9MC2 Q12  2014

    Slide 48 - 9MC2 Q12 2014

  41. CubeNet_DEMO.MOV

    Slide 54 - CubeNet_DEMO.MOV

  42. Thank you !  

    Slide 66 - Thank you ! 

    • Email for enquiry :
    • wingsum@ied.edu.hk
  43. Slide 67

    • Thank you for your participation ar !!!!!! 