Abstract
This research investigated the process of generalizing a pictorial linear pattern problem, as done by fifty-three mathematically promising students participating in an after school math club. The students' work revealed a range of solution paths and representations, and a cycle of expressing-testing- revising. While the majority of them found the constant difference property of the pattern, they experienced difficulties in expressing the general rule. The majority of students applied recursive strategies, even when more global strategies were called for. Although the aforementioned task lacks a real-life context that is essential for modeling problems, the advantages of such problems in multi-cultural classes are discussed.
Original language | English |
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Title of host publication | Modeling Students' Mathematical Modeling Competencies |
Subtitle of host publication | ICTMA 13 |
Editors | Richard Lesh, Peter L. Galbraith, Christopher R. Haines, Andrew Hurford |
Publisher | Springer US |
Pages | 213-221 |
Number of pages | 9 |
ISBN (Print) | 9781441905604, 9781489983893 |
DOIs | |
State | Published - 1 Dec 2010 |
Keywords
- Assessment
- Mathematical modeling
- Middle school
- Perspective on modeling
- Procedural understanding
- Urban setting
ASJC Scopus subject areas
- General Social Sciences
- General Arts and Humanities