An approach to teach with variations
Mathematics teachers use typical problems from past examination papers and textbook exercises to develop procedural skills. In this paper, we discuss other uses of typical problems. We focus on the affordances that an experienced teacher, John, perceives in typical problems and how he uses them to...
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| Format: | Article |
| Language: | English |
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Sociedad Española de Investigación en Educación Matemática
2018-05-01
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| Series: | Avances de Investigación en Educación Matemática |
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| Online Access: | https://aiem.es/article/view/3927 |
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| _version_ | 1850144131712548864 |
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| author | Ban Heng Choy Jaguthsing Dindyal |
| author_facet | Ban Heng Choy Jaguthsing Dindyal |
| author_sort | Ban Heng Choy |
| collection | DOAJ |
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Mathematics teachers use typical problems from past examination papers and textbook exercises to develop procedural skills. In this paper, we discuss other uses of typical problems. We focus on the affordances that an experienced teacher, John, perceives in typical problems and how he uses them to enhance student learning by harnessing the idea of teaching with variations or bianshi. Drawing on data from a larger qualitative design-based research on investigating teacher noticing, we present snapshots of John’s classroom practices to show what he noticed about the variations afforded by typical problems and how he used these problems with students to promote both procedural skills and conceptual understanding. Findings suggest the value of supporting teachers in harnessing variations of typical problems, which has implications for teacher education and professional development.
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| format | Article |
| id | doaj-art-2cf136ba94dd4e2aa8d26ce1f86e9335 |
| institution | OA Journals |
| issn | 2254-4313 |
| language | English |
| publishDate | 2018-05-01 |
| publisher | Sociedad Española de Investigación en Educación Matemática |
| record_format | Article |
| series | Avances de Investigación en Educación Matemática |
| spelling | doaj-art-2cf136ba94dd4e2aa8d26ce1f86e93352025-08-20T02:28:28ZengSociedad Española de Investigación en Educación MatemáticaAvances de Investigación en Educación Matemática2254-43132018-05-011310.35763/aiem.v0i13.227An approach to teach with variationsBan Heng Choy0Jaguthsing Dindyal1National Institute of Education, Nanyang Technological UniversityNational Institute of Education, Nanyang Technological University Mathematics teachers use typical problems from past examination papers and textbook exercises to develop procedural skills. In this paper, we discuss other uses of typical problems. We focus on the affordances that an experienced teacher, John, perceives in typical problems and how he uses them to enhance student learning by harnessing the idea of teaching with variations or bianshi. Drawing on data from a larger qualitative design-based research on investigating teacher noticing, we present snapshots of John’s classroom practices to show what he noticed about the variations afforded by typical problems and how he used these problems with students to promote both procedural skills and conceptual understanding. Findings suggest the value of supporting teachers in harnessing variations of typical problems, which has implications for teacher education and professional development. https://aiem.es/article/view/3927Mathematical tasksteacher educationteaching with variationstypical problems |
| spellingShingle | Ban Heng Choy Jaguthsing Dindyal An approach to teach with variations Avances de Investigación en Educación Matemática Mathematical tasks teacher education teaching with variations typical problems |
| title | An approach to teach with variations |
| title_full | An approach to teach with variations |
| title_fullStr | An approach to teach with variations |
| title_full_unstemmed | An approach to teach with variations |
| title_short | An approach to teach with variations |
| title_sort | approach to teach with variations |
| topic | Mathematical tasks teacher education teaching with variations typical problems |
| url | https://aiem.es/article/view/3927 |
| work_keys_str_mv | AT banhengchoy anapproachtoteachwithvariations AT jaguthsingdindyal anapproachtoteachwithvariations AT banhengchoy approachtoteachwithvariations AT jaguthsingdindyal approachtoteachwithvariations |