# Quod Erat Demonstrandum

## 2009/03/17

### 簡報：數學教育研討會 2009

Filed under: Report — johnmayhk @ 5:37 上午
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2009-03-14 (SAT) 出席香港教育學院文理學院主辦《數學教育研討會 2009 數學學與教 – 東方的理論框架》

「和、易以思」的數學教與學

Teaching and Learning of Mathematics in Korea

Beyond the contradiction through the extension in Learning Mathematics: Adopting the Theory of Conceptual and Procedural Knowledge into Japanese Problem Solving Approach

Design a lesson creatively and appropriately
Lead students to explore and understand content
Have solid PK, PCK and CK
Promote students’ creativity and thinking
Extend and synthesis students’ thinking
Use instructional materials timely

Taken at HKIED on 2009-03-14

$\frac{a_1}{b_1} < \frac{a_2}{b_2} \Rightarrow \frac{a_1}{b_1} < \frac{a_1 + a_2}{b_1 + b_2} < \frac{a_2}{b_2}$

$a_i > 0, b_i > 0, \frac{a_1}{b_1} < \frac{a_2}{b_2} < \dots < \frac{a_n}{b_n} \Rightarrow \frac{a_1}{b_1} < \frac{a_1 + a_2 + \dots + a_n}{b_1 + b_2 + \dots + b_n} < \frac{a_n}{b_n}$

$6 | (a + b + c) \Rightarrow 6 | (a^3 + b^3 + c^3)$

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