Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model
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...
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| Format: | UMS Journal (OJS) |
| Language: | eng |
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Universitas Muhammadiyah Surakarta
2017
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| Online Access: | https://journals.ums.ac.id/index.php/jramathedu/article/view/3385 |
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| author | Rifandi, Ronal |
| author_facet | Rifandi, Ronal |
| author_sort | Rifandi, Ronal |
| collection | OJS |
| description | 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. |
| format | UMS Journal (OJS) |
| id | oai:ojs2.journals.ums.ac.id:article-3385 |
| institution | Universitas Muhammadiyah Surakarta |
| language | eng |
| publishDate | 2017 |
| publisher | Universitas Muhammadiyah Surakarta |
| record_format | ojs |
| spelling | oai:ojs2.journals.ums.ac.id:article-3385 Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model Rifandi, Ronal Realistic Mathematics Education Fractions Multiplication, RME, Design Based Research, HLT 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. Universitas Muhammadiyah Surakarta 2017-08-03 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion qualitative research application/pdf https://journals.ums.ac.id/index.php/jramathedu/article/view/3385 10.23917/jramathedu.v1i2.3385 JRAMathEdu (Journal of Research and Advances in Mathematics Education); Vol. 1, No. 2, July 2016; 99-110 2541-2590 2503-3697 10.23917/jramathedu.v1i2 eng https://journals.ums.ac.id/index.php/jramathedu/article/view/3385/2135 Mathematics education learning mathematics student ability Copyright (c) 2017 Ronal Rifandi http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Realistic Mathematics Education Fractions Multiplication, RME, Design Based Research, HLT Rifandi, Ronal Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model |
| title | Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model |
| title_full | Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model |
| title_fullStr | Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model |
| title_full_unstemmed | Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model |
| title_short | Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model |
| title_sort | supporting students reasoning about multiplication of fractions by constructing an array model |
| topic | Realistic Mathematics Education Fractions Multiplication, RME, Design Based Research, HLT |
| topic_facet | Realistic Mathematics Education Fractions Multiplication, RME, Design Based Research, HLT |
| url | https://journals.ums.ac.id/index.php/jramathedu/article/view/3385 |
| work_keys_str_mv | AT rifandironal supportingstudentsreasoningaboutmultiplicationoffractionsbyconstructinganarraymodel |