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MAKING THE DISCOVERY FUNCTION OF PROOF VISIBLE FOR UPPER SECONDARY SCHOOL STUDENTS
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik.ORCID-id: 0000-0003-0120-9829
Stockholm Univ, Stockholm, Sweden..
2011 (engelsk)Inngår i: 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, s. 172-181Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
UNIV RZESZOW PUBLISHING HOUSE , 2011. s. 172-181
Emneord [en]
mathematical proof, discovery function, transparency, upper secondary school mathematics
HSV kategori
Identifikatorer
URN: urn:nbn:se:mdh:diva-40510ISI: 000399737700014OAI: oai:DiVA.org:mdh-40510DiVA, id: diva2:1240779
Konferanse
7th Congress of the European-Society-for-Research-in-Mathematics-Education (ERME)
Tilgjengelig fra: 2018-08-22 Laget: 2018-08-22 Sist oppdatert: 2018-08-22bibliografisk kontrollert

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