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    Students' concept images of inverse functions


    Breen, Sinead and Larson, Niclas and O'Shea, Ann and Pettersson, Kerstin (2015) Students' concept images of inverse functions. In: CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education. Charles University in Prague, Faculty of Education, pp. 2228-2234.

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    Abstract

    We analyse data from two studies in Ireland and Sweden relating to the concept of inverse function. In particular , we consider components of the participants' evoked concept images of this topic when answering open questionnaire questions. The results show that the students' concept images contain algebraic, geometric and more formal components: both Irish and Swedish students describe inverse functions as swapping x and y, as a reflection or a reversal. How various components may or may not enrich students' conceptual understanding of inverse functions is discussed.

    Item Type: Book Section
    Additional Information: Citation: Sinéad Breen, Niclas Larson, Ann O 'Shea, Kerstin Pettersson. Students' concept images of inverse functions. Konrad Krainer; Naďa Vondrová. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Feb 2015, Prague, Czech Republic. pp.2228-2234, Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education. 〈hal-01288621〉
    Keywords: inverse function; concept image; university mathematics education;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10082
    Identification Number: hal-01288621, version 1
    Depositing User: Dr. Ann O'Shea
    Date Deposited: 08 Oct 2018 11:01
    Publisher: Charles University in Prague, Faculty of Education
    Refereed: Yes
    URI:

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