# Emerging perspectives in mathematical cognition: Contextualizing, complementizing, and complexifying

Journal article

Scheiner, Thorsten and Pinto, Marcia M. F.. (2019). Emerging perspectives in mathematical cognition: Contextualizing, complementizing, and complexifying.

*Educational Studies in Mathematics: An international journal.*101(3), pp. 357 - 372. https://doi.org/10.1007/s10649-019-9879-y

Authors | Scheiner, Thorsten and Pinto, Marcia M. F. |
---|---|

Abstract | This article describes emerging perspectives on contextualizing, complementizing, and complexifying—three processes involved when individuals ascribe meaning to mathematical objects of their thinking. The article is oriented toward a dialectic between theory and empirical research and is structured in two parts. The first part focuses on an evolving theoretical framing that acknowledges the significance of these three processes in mathematical cognition. In the second part, the evolving theoretical framing is used to analyze one student’s knowing of the limit concept of a sequence. This analysis directs one’s attention to the emergence and function of this student’s knowledge resource, which was generic in usage and complex in structure, allowing the activation of productive ideas and contextual meaning-making as needed. Through this analysis, theoretical and interpretative possibilities were generated that inform research on mathematical cognition and elucidate the emerging theoretical perspectives of contextualizing, complementizing, and complexifying. |

Keywords | Mathematical cognition; Meaning-making; Theory advancement; Givingmeaning; Limit concept |

Year | 2019 |

Journal | Educational Studies in Mathematics: An international journal |

Journal citation | 101 (3), pp. 357 - 372 |

Publisher | Springer Netherlands |

ISSN | 0013-1954 |

Digital Object Identifier (DOI) | https://doi.org/10.1007/s10649-019-9879-y |

Scopus EID | 2-s2.0-85068085419 |

Page range | 357 - 372 |

Research Group | Institute for Learning Sciences and Teacher Education (ILSTE) |

Publisher's version | File Access Level Controlled |

Place of publication | Netherlands |

Editors | A. Bakker |

https://acuresearchbank.acu.edu.au/item/85wwy/emerging-perspectives-in-mathematical-cognition-contextualizing-complementizing-and-complexifying

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