Supporting Students' Reasoning About Multiplication of Fractions by Constructing an Array Model release_nrszimwgvfh4darzyy2jwwa6oq

by Ronal Rifandi

Published in Journal of Research and Advances in Mathematics Education by Universitas Muhammadiyah Surakarta.

2017   p99-110

Abstract

The aim of the research is to support students in constructing an array model as a bridge from their informal knowledge to the formal one in understanding the part-whole relation concept. The part-whole relation concept is important for students to reason about multiplication of fractions. Realistic Mathematics Education which is in Indonesia adapted as Pendidikan Matematika Realistik Indonesia (PMRI) is used as an approach in designing a series of lessons. For this purpose, hypothetical learning trajectory (HLT) became the base for conducting a teaching experiment and designing its learning materials.  The research was conducted in the fifth grade of SD Al Hikmah Surabaya, an elementary school in Indonesia, with five students as the participants. The collected data were qualitative data in the form of students' written works and the transcript of video recording during the lesson. The data were analyzed retrospectively by confronting the conjecture of students' thinking in the HLT with the fact in the teaching experiment. The result of the research shows that most students could use the contextual problem in promoting their ability on constructing their own array model to reason about part-whole relation.
In application/xml+jats format

Archived Files and Locations

application/pdf  388.1 kB
file_h47hpds5jbczho5pccp5i5nfyi
journals.ums.ac.id:80 (publisher)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article-journal
Stage   published
Date   2017-08-03
Journal Metadata
Open Access Publication
In DOAJ
Not in Keepers Registry
ISSN-L:  2503-3697
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 21afc9fc-c0a2-4295-b0d3-f498fe019c38
API URL: JSON