| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 360876 | The Journal of Mathematical Behavior | 2009 | 9 Pages |
Abstract
This paper presents a case study of a highly successful student whose exploration of an advanced mathematical concept relies predominantly on syntactic reasoning, such as developing formal representations of mathematical ideas and making logical deductions. This student is observed as he learns a new mathematical concept and then completes exercises about it. The paper focuses on how Isaac developed an understanding of this concept, how he evaluated whether a mathematical assertion is true or false, how he generated counterexamples to disprove a statement, and the general role examples play for him in concept development and understanding.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Keith Weber,