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小學與中學數學科 學與教的銜接研討會

總結及公開討論

數學教育組 2008年5月

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學與教的銜接

• 學校行政上的配合

• 教學內容上的銜接

• 教學手法上的銜接

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學校行政上的配合

整體的規畫

– 針對性(哪些學生?哪些課題?) – 人手(負責及分工)

科任教師?另一專責人士?

– 時間及時段

暑期?開學初期?每一課題的開始 ?平時放學?星期六?

一次過?持續性?

– 抽離式?按能力分班?不按能力分班但在班內分組?

– 資源的存檔:評估、工作紙

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教學內容上的銜接

• 補底

– 如善用 BCA網上學生評估題目庫

• 針對性

– 如分數運算的要求

• 比對及提昇

– 類近課題的相似與相異的比對

– 類近課題概念及求解方法的提昇

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代數思考方法

Algebraic thinking

• 3 Habits of thinking critical to the developing power in algebraic thinking

– Doing-undoing (the capacity not only able to use a process to get to a goal, but also to understand the process well enough to work backward from the answer to the starting point)

– Building rules to represent functions (the capacity to recognize patterns and organize data to represent situations in which input is related to output by well-defined functional rules)

– Abstracting from computations (the capacity to think about

computations independently of particular numbers that are used) Mark Driscoll (1999) Fostering Algebraic Thinking

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教學手法上的配合

• 由具體到抽象

由實物到實際數字、個案、實物、圖像(不同形式的數學語言)互

相穿梭

– 從日常生活經驗到現實生活

由多動手到手與腦互相穿梭

• 教學活動的佈置

– 給予家課時的指引(如做家課的要求、交家課的日期等)

– 分組活動時,分配每個組員的角色

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參考資料:

課程文件、課程的比對及教學資源

http://www.edb.gov.hk/index.aspx?langno=2&nodeID=2403

• 基本能力(學生評估)及有關學與教資料

http://cd1.edb.hkedcity.net/cd/eap_web/bca/chi/BCA_c3.htm

• 全港性系統評估

http://www.systemassessment.edu.hk/

M. Driscoll (1999). Fostering Algebraic Thinking- A Guide for

Teachers Grades 6-10. Heinemann:USA.

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