Literaturnachweis - Detailanzeige
| Autor/inn/en | Yao, Xiangquan; Elia, John |
|---|---|
| Titel | Connections between Empirical and Structural Reasoning in Technology-Aided Generalization Activities |
| Quelle | In: International Electronic Journal of Mathematics Education, 16 (2021) 2, (14 Seiten)Infoseite zur Zeitschrift
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| Zusatzinformation | ORCID (Yao, Xiangquan) ORCID (Elia, John) |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 1306-3030 |
| Schlagwörter | Mathematics Instruction; Generalization; Preservice Teachers; Mathematics Teachers; Educational Technology; Technology Uses in Education; Mathematical Logic; Secondary School Teachers; Secondary School Mathematics; Mathematical Concepts; Concept Formation |
| Abstract | Mathematical generalization can take on different forms and be built upon different types of reasoning. Having utilized data from a series of task-based interviews, this study examined connections between empirical and structural reasoning as preservice mathematics teachers solved problems designed to engage them in constructing and generalizing mathematical ideas aided by digital tools. The study revealed closer connections between naïve empiricism and result pattern generalization, between naïve empiricism and recognizing a structure in thought, between reasoning by generic example and process pattern generalization, and between reasoning by generic example and reasoning in terms of general structures. Results from this study imply that the ability to generalize based on perception and numerical pattern does not necessarily lead learners to generalize based on mathematical structure. (As Provided). |
| Anmerkungen | International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2024/1/01 |
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