## Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education

dc.contributor.author | Torr, Stuart | |

dc.contributor.author | Craig, Tracy S | |

dc.date | 2013-11 | |

dc.date.accessioned | 2015-05-18T14:38:10Z | |

dc.date.available | 2015-05-18T14:38:10Z | |

dc.date.issued | 2013-11 | |

dc.description.abstract | Learners of mathematics often struggle to balance the apparently conflicting demands for abstract thinking as well as (often simultaneous) concrete cognitive engagement. Conflicting demands of successful mathematical engagement have been addressed in the literature pertaining to procedural versus conceptual approaches to mathematical learning as well as in the literature on cognitive and meta-cognitive mathematical demands. Construal Level Theory offers an opportunity to understand both these dualities as aspects of the same psychological response to contextual priming. In addition, Construal Level Theory can be understood to illuminate student difficulties with heuristic strategies in mathematical problem-solving. The focus of Construal Level Theory on abstract and concrete cognitive construals as a consequence of psychological distance provides a useful lens for teaching and learning opportunities. We argue that Construal Level Theory offers an opportunity to draw together several strands of mathematics education theory and to help educators address learning challenges in the classroom. | en_ZA |

dc.identifier.apacitation | Torr, S., & Craig, T. S. (2013). <i>Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education</i>. NSW, Australia, School of Computing, Engineering and Mathematics, University of Western Sydney. http://hdl.handle.net/11427/13085 | en_ZA |

dc.identifier.chicagocitation | Torr, Stuart, and Tracy S Craig. "Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education." 2013-11, NSW, Australia. School of Computing, Engineering and Mathematics, University of Western Sydney. http://hdl.handle.net/11427/13085. | en_ZA |

dc.identifier.citation | Torr, S., Craig, T.S. (2013). Addressing dualism in mathematical abstraction: an argument for the role of Construal Level Theory in mathematics education. Proceedings of Delta â€™13, The Ninth Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics, pp 199-208 | en_ZA |

dc.identifier.isbn | 978-1-74108-289-0 | |

dc.identifier.ris | TY - Conference Paper AU - Torr, Stuart AU - Craig, Tracy S AB - Learners of mathematics often struggle to balance the apparently conflicting demands for abstract thinking as well as (often simultaneous) concrete cognitive engagement. Conflicting demands of successful mathematical engagement have been addressed in the literature pertaining to procedural versus conceptual approaches to mathematical learning as well as in the literature on cognitive and meta-cognitive mathematical demands. Construal Level Theory offers an opportunity to understand both these dualities as aspects of the same psychological response to contextual priming. In addition, Construal Level Theory can be understood to illuminate student difficulties with heuristic strategies in mathematical problem-solving. The focus of Construal Level Theory on abstract and concrete cognitive construals as a consequence of psychological distance provides a useful lens for teaching and learning opportunities. We argue that Construal Level Theory offers an opportunity to draw together several strands of mathematics education theory and to help educators address learning challenges in the classroom. CY - NSW, Australia DA - 2013-11 DB - OpenUCT DP - University of Cape Town KW - construal level theory KW - priming KW - metacognition KW - procedural and conceptual KW - heuristic strategies LK - https://open.uct.ac.za PB - University of Cape Town PP - NSW, Australia PY - 2013 SM - 978-1-74108-289-0 T1 - Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education TI - Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education UR - http://hdl.handle.net/11427/13085 ER - | en_ZA |

dc.identifier.uri | http://hdl.handle.net/11427/13085 | |

dc.identifier.uri | http://www.deltaconference.org/conferences/2013/documents/ConferenceProceedings.pdf | |

dc.identifier.vancouvercitation | Torr S, Craig TS, Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education. ; 2013-11; NSW, Australia. School of Computing, Engineering and Mathematics, University of Western Sydney; 2013. http://hdl.handle.net/11427/13085 . | en_ZA |

dc.language | eng | en_ZA |

dc.publisher | School of Computing, Engineering and Mathematics, University of Western Sydney | en_ZA |

dc.publisher.institution | University of Cape Town | |

dc.publisher.location | NSW, Australia | en_ZA |

dc.relation.ispartofseries | The Ninth Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics, 24 - 29 November, KIAMA, Australia | en_ZA |

dc.subject | construal level theory | en_ZA |

dc.subject | priming | en_ZA |

dc.subject | metacognition | en_ZA |

dc.subject | procedural and conceptual | en_ZA |

dc.subject | heuristic strategies | en_ZA |

dc.title | Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education | en_ZA |

dc.type | Conference Paper | en_ZA |

uct.type.filetype | Text | |

uct.type.filetype | Image | |

uct.type.publication | Research | en_ZA |

uct.type.resource | Conference paper | en_ZA |

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