A Learning Progression for Elementary Students’ Functional Thinking
| Autor: | Nicole L. Fonger, Maria Blanton, Susanne Strachota, Eric J. Knuth, Ana C. Stephens, Angela Murphy Gardiner, Isil Isler |
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| Rok vydání: | 2017 |
| Předmět: |
Generalization
4. Education General Mathematics media_common.quotation_subject Teaching method 05 social sciences 050301 education Functional thinking Education Focus (linguistics) Intervention (counseling) 0502 economics and business ComputingMilieux_COMPUTERSANDEDUCATION Developmental and Educational Psychology Mathematics education Psychology 0503 education Sophistication Early Algebra 050203 business & management media_common Algebraic thinking |
| Zdroj: | Mathematical Thinking and Learning. 19:143-166 |
| ISSN: | 1532-7833 1098-6065 |
| Popis: | In this article we advance characterizations of and supports for elementary students’ progress in generalizing and representing functional relationships as part of a comprehensive approach to early algebra. Our learning progressions approach to early algebra research involves the coordination of a curricular framework and progression, an instructional sequence, written assessments, and levels of sophistication describing students’ algebraic thinking. After detailing this approach, we focus on what we have learned about the development of students’ abilities to generalize and represent functional relationships in a grades 3–5 early algebra intervention by sharing the levels of responses we observed in students’ written work over time. We found that the sophistication of students’ responses increased over the course of the intervention from recursive patterning to correspondence and in some cases covariation relationships between variables. Students’ responses at times differed by the particular tas... |
| Databáze: | OpenAIRE |
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