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- Publisher Website: 10.1007/s10212-011-0060-y
- Scopus: eid_2-s2.0-84857041414
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Article: Learning a mathematical concept from comparing examples: the importance of variation and prior knowledge
Title | Learning a mathematical concept from comparing examples: the importance of variation and prior knowledge |
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Authors | |
Keywords | Comparison Conceptual knowledge Example variability Mathematics education Positive and negative examples |
Issue Date | 2011 |
Publisher | Springer Netherlands. The Journal's web site is located at http://www.springer.com/psychology/child+%26+school+psychology/journal/10212 |
Citation | European Journal of Psychology of Education, 2011, v. 26 n. 4, p. 495-525 How to Cite? |
Abstract | In experiment 1, novice fourth-grade students (N=92) who compared multiple examples that separately varied each critical aspect and then simultaneously varied all critical aspects developed better conceptual knowledge about the altitude of a triangle than students who compared multiple examples that did not separately vary each critical aspect but simultaneously varied all critical aspects. In experiment 2, this pattern was the same for fourth-grade students (N=90) but not for sixth-grade students (N=94) who had greater prior knowledge about the concept. Aspects that are critical for learning should be varied first separately and then simultaneously, and students with different levels of prior knowledge may perceive different aspects as critical for their learning and thus benefit differently from the identical instruction. © Instituto Superior de Psicologia Aplicada, Lisboa, Portugal and Springer Science+Business Media BV 2011. |
Persistent Identifier | http://hdl.handle.net/10722/164675 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 1.161 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Guo, JP | en_HK |
dc.contributor.author | Pang, MF | en_HK |
dc.date.accessioned | 2012-09-20T08:08:00Z | - |
dc.date.available | 2012-09-20T08:08:00Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | European Journal of Psychology of Education, 2011, v. 26 n. 4, p. 495-525 | en_HK |
dc.identifier.issn | 0256-2928 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/164675 | - |
dc.description.abstract | In experiment 1, novice fourth-grade students (N=92) who compared multiple examples that separately varied each critical aspect and then simultaneously varied all critical aspects developed better conceptual knowledge about the altitude of a triangle than students who compared multiple examples that did not separately vary each critical aspect but simultaneously varied all critical aspects. In experiment 2, this pattern was the same for fourth-grade students (N=90) but not for sixth-grade students (N=94) who had greater prior knowledge about the concept. Aspects that are critical for learning should be varied first separately and then simultaneously, and students with different levels of prior knowledge may perceive different aspects as critical for their learning and thus benefit differently from the identical instruction. © Instituto Superior de Psicologia Aplicada, Lisboa, Portugal and Springer Science+Business Media BV 2011. | en_HK |
dc.language | eng | en_US |
dc.publisher | Springer Netherlands. The Journal's web site is located at http://www.springer.com/psychology/child+%26+school+psychology/journal/10212 | en_HK |
dc.relation.ispartof | European Journal of Psychology of Education | en_HK |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.subject | Comparison | en_HK |
dc.subject | Conceptual knowledge | en_HK |
dc.subject | Example variability | en_HK |
dc.subject | Mathematics education | en_HK |
dc.subject | Positive and negative examples | en_HK |
dc.title | Learning a mathematical concept from comparing examples: the importance of variation and prior knowledge | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Guo, JP: guojp@xmu.edu.cn | en_HK |
dc.identifier.email | Pang, MF: pangmf@hkucc.hku.hk | - |
dc.identifier.authority | Pang, MF=rp00946 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10212-011-0060-y | en_HK |
dc.identifier.scopus | eid_2-s2.0-84857041414 | en_HK |
dc.identifier.hkuros | 205973 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84857041414&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 26 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 495 | en_HK |
dc.identifier.epage | 525 | en_HK |
dc.identifier.isi | WOS:000300087000005 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Pang, MF=8333263400 | en_HK |
dc.identifier.scopusauthorid | Guo, JP=23091028700 | en_HK |
dc.identifier.issnl | 0256-2928 | - |