Modelling Problem-Solving Situations into Number Theory Tasks: The Route towards Generalisation

被引：0
|
作者：
Papadopoulos, Ioannis [1 ]
Iatridou, Maria [2 ]
机构：
[1] Primary Educ, Ptolemeon 21 Str, Thessaloniki 55535, Greece
[2] Secondary Educ, Pedini 264, Ioannina 45500, Greece
来源：
MATHEMATICS EDUCATION RESEARCH JOURNAL | 2010年 / 22卷 / 03期
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D O I：
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中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
This paper examines the way two 10th graders cope with a non-standard generalisation problem that involves elementary concepts of number theory (more specifically linear Diophantine equations) in the geometrical context of a rectangle's area. Emphasis is given on how the students' past experience of problem solving (expressed through interplay among different modes of thinking and actions that show executive control and decision-making skills) supported them in their route towards generalisation.
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页码：85 / 110
页数：26
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