Fair sharing and division – mathematical reasoning regarding integers and fractions in preschool and preschool class
2024 (English)In: Proceedings of Cerme 13 / [ed] Paul Drijvers, Csaba Csapodi, Hanna Palmér, Katalin Gosztonyi and Eszter Kónya, Alfréd Rényi Institute of Mathematics, Budapest, Hungary and ERME , 2024, p. 2096-2103Conference paper, Published paper (Refereed)
Abstract [en]
This paper identifies and discusses children’s mathematical reasoning in preschool and preschool class when they work with a fair sharing case. The case came from a selection of cases designed to promote collective mathematical as well as ethical reasoning. Data comes from six children’s work when sharing four paper biscuits between three soft toys, first when the children were five years old and then, a year later, when they were six years old. The results show that their reasoning, both when they were five and six, used mathematical and ethical arguments. In preschool class, the students were able to use each other’s arguments in collective reasoning to identify, predict, and verify their reasoning. The students began to measure the fraction parts of a remainder but could not evaluate the conclusion with respect to what is aspects for division; equal numbers and equal size. The results also signal that teacher’s input, of posing evaluating questions, appears to stimulate the reasoning.
Place, publisher, year, edition, pages
Alfréd Rényi Institute of Mathematics, Budapest, Hungary and ERME , 2024. p. 2096-2103
Keywords [en]
Fair sharing, division, fractions, collective mathematical reasoning
National Category
Didactics Other Mathematics
Identifiers
URN: urn:nbn:se:du-48249ISBN: 978-963-7031-04-5 (print)OAI: oai:DiVA.org:du-48249DiVA, id: diva2:1845155
Conference
Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Alfréd Rényi Institute of Mathematics; Eötvös Loránd University of Budapest, Jul 2023, Budapest, Hungary
2024-03-182024-03-182024-03-18Bibliographically approved