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MAKING THE DISCOVERY FUNCTION OF PROOF VISIBLE FOR UPPER SECONDARY SCHOOL STUDENTS
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0003-0120-9829
Stockholm Univ, Stockholm, Sweden..
2011 (English)In: PROCEEDINGS OF THE SEVENTH CONGRESS OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME 7) / [ed] Pytlak, M Rowland, T Swoboda, E, UNIV RZESZOW PUBLISHING HOUSE , 2011, p. 172-181Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents an analysis of a teaching experiment with seven high achieving upper secondary school students in Sweden focusing on the de Villiers' discovery function of proof. The aim of the experiment was to test if it is possible for students to get insights to, and use, this function. The data consists of a tape recorded introductory pass, students' group work and the final discussion together with the students. The results show that the students did get some insights about the function. However, it was difficult for the students to construct the original proofs in order to use them to discover new results. The paper also shows that the function of discovery needs to be explored and clarified, as there are different interpretations of it in our field.

Place, publisher, year, edition, pages
UNIV RZESZOW PUBLISHING HOUSE , 2011. p. 172-181
Keywords [en]
mathematical proof, discovery function, transparency, upper secondary school mathematics
National Category
Educational Sciences
Identifiers
URN: urn:nbn:se:mdh:diva-40510ISI: 000399737700014OAI: oai:DiVA.org:mdh-40510DiVA, id: diva2:1240779
Conference
7th Congress of the European-Society-for-Research-in-Mathematics-Education (ERME)
Available from: 2018-08-22 Created: 2018-08-22 Last updated: 2018-08-22Bibliographically approved

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Hemmi, Kirsti

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