The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks
| Autor: | D. Lee Clark, Lorraine M. Males, Nicholas J. Gilbertson, Samuel Otten |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Mathematical Thinking and Learning. 16:51-79 |
| ISSN: | 1532-7833 1098-6065 |
| DOI: | 10.1080/10986065.2014.857802 |
| Popis: | International calls have been made for reasoning-and-proving to permeate school mathematics. It is important that efforts to heed this call are grounded in an understanding of the opportunities to reason-and-prove that already exist, especially in secondary-level geometry where reasoning-and-proving opportunities are prevalent but not thoroughly studied. This analysis of six secondary-level geometry textbooks, like studies of other textbooks, characterizes the justifications given in the exposition and the reasoning-and-proving activities expected of students in the exercises. Furthermore, this study considers whether the mathematical statements included in the reasoning-and-proving opportunities are general or particular in nature. Findings include the fact that the majority of expository mathematical statements were general, whereas reasoning-and-proving exercises tended to involve particular mathematical statements. Although reasoning-and-proving opportunities were relatively numerous, it remained rare... |
| Databáze: | OpenAIRE |
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