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- Publisher Website: 10.1080/10986065.2020.1789930
- Scopus: eid_2-s2.0-85087809605
- WOS: WOS:000547071100001
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Article: Figurative and operative partitioning activity: students’ meanings for amounts of change in covarying quantities
Title | Figurative and operative partitioning activity: students’ meanings for amounts of change in covarying quantities |
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Authors | |
Keywords | amount of change cognition covariational reasoning Partitioning activity piaget |
Issue Date | 2020 |
Citation | Mathematical Thinking and Learning, 2020, v. 23 n. 4, p. 291-317 How to Cite? |
Abstract | Researchers have emphasized the importance of characterizing students’ abilities to coordinate changes in covarying quantities. In this paper, we characterize three undergraduate students’ coordination of covarying quantities’ amounts of change during a teaching experiment. We adopt Piagetian notions of figurative and operative thought to describe the extent their meanings for covariational relationships are constrained to or supported by their partitioning activity–the mental and physical actions associated with constructing accruals in quantities’ magnitudes. Our analysis suggests that students’ construction of amounts of change is constrained by figurative partitioning activity that requires carrying out or emulating particular actions on perceptually available material. In contrast, operative partitioning activity supports the students’ transformation and (anticipated) regeneration of partitioning activity in order to conceive equivalent covariational relationships among various situations and representational systems. We conclude by discussing how documenting these distinctive meanings contributes to extant literature on covariational reasoning and, more broadly, the theorization of mathematical concept construction. |
Persistent Identifier | http://hdl.handle.net/10722/315328 |
ISSN | 2023 Impact Factor: 2.0 2023 SCImago Journal Rankings: 0.786 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liang, Biyao | - |
dc.contributor.author | Moore, Kevin C. | - |
dc.date.accessioned | 2022-08-05T10:18:29Z | - |
dc.date.available | 2022-08-05T10:18:29Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Mathematical Thinking and Learning, 2020, v. 23 n. 4, p. 291-317 | - |
dc.identifier.issn | 1098-6065 | - |
dc.identifier.uri | http://hdl.handle.net/10722/315328 | - |
dc.description.abstract | Researchers have emphasized the importance of characterizing students’ abilities to coordinate changes in covarying quantities. In this paper, we characterize three undergraduate students’ coordination of covarying quantities’ amounts of change during a teaching experiment. We adopt Piagetian notions of figurative and operative thought to describe the extent their meanings for covariational relationships are constrained to or supported by their partitioning activity–the mental and physical actions associated with constructing accruals in quantities’ magnitudes. Our analysis suggests that students’ construction of amounts of change is constrained by figurative partitioning activity that requires carrying out or emulating particular actions on perceptually available material. In contrast, operative partitioning activity supports the students’ transformation and (anticipated) regeneration of partitioning activity in order to conceive equivalent covariational relationships among various situations and representational systems. We conclude by discussing how documenting these distinctive meanings contributes to extant literature on covariational reasoning and, more broadly, the theorization of mathematical concept construction. | - |
dc.language | eng | - |
dc.relation.ispartof | Mathematical Thinking and Learning | - |
dc.subject | amount of change | - |
dc.subject | cognition | - |
dc.subject | covariational reasoning | - |
dc.subject | Partitioning activity | - |
dc.subject | piaget | - |
dc.title | Figurative and operative partitioning activity: students’ meanings for amounts of change in covarying quantities | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1080/10986065.2020.1789930 | - |
dc.identifier.scopus | eid_2-s2.0-85087809605 | - |
dc.identifier.volume | 23 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 291 | - |
dc.identifier.epage | 317 | - |
dc.identifier.eissn | 1532-7833 | - |
dc.identifier.isi | WOS:000547071100001 | - |