Developing Grade 5 Students’ Understanding Of Multiplication Of Two Fractions Through Taking A Part Of A Part Of A Whole Activity
| Main Authors: | Rifandi, Ronal, Budiarto, Mega Teguh , Lukito, Agung , Abels, Meike J, Dolk, Maarten |
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| Format: | Proceeding PeerReviewed application/pdf |
| Terbitan: |
, 2014
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| Subjects: | |
| Online Access: |
http://eprints.unsri.ac.id/5216/1/Ronal_Rifaldi.pdf http://eprints.unsri.ac.id/5216/ |
Daftar Isi:
- Many studies found that students have difficulties in learning about multiplication of two fractions. Students only tend to apply the procedure to solve the problems without an understanding of the process. Therefore, this study aimed to contribute to the development of a local instruction theory in supporting students’ understanding of multiplication of two fractions. Some ideas such as partitioning, taking a part of a part of a whole unit within contexts and using array model are concerned in this study. Using the design research method, a sequence of five lessons was designed grounded by the Pendidikan Matematika Realistik Indonesia approach. The hypothetical learning trajectory (HLT) became the base for conducting a teaching experiment and designing its learning instruments. The participants in this study were five students in grade 5 of SDI Al Hikmah Surabaya. The main data were collected through video registrations and students’ written works. Then, a retrospective analysis was conducted by comparing the HLT with the actual learning process. This study shows that using students’ informal knowledge about partitioning and the use of sharing chocolate block context in which an array model was introduced promote students’ understanding about taking a part of a part of a whole unit. It is also shown that the students started to use the array models to reason about the concept of taking a part of a part of a whole. The understanding of taking a part of a part of a whole unit could be used as a starting point in learning about multiplication of two fractions