Developing Grade 5 Students’ Understanding Of Multiplication Of Two Fractions Through Taking A Part Of A Part Of A Whole Activity

Rifandi, Ronal and Budiarto, Mega Teguh and Lukito, Agung and Abels, Meike J and Dolk, Maarten (2014) Developing Grade 5 Students’ Understanding Of Multiplication Of Two Fractions Through Taking A Part Of A Part Of A Whole Activity. In: Ratu Ilma (Eds).The Second South East Asia Design/ Development Research (SEA-DR) International Conference, April 26-27,2014, Unsri, Palembang, April 26th-27th,2014, Palembang.

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    Abstract

    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

    Item Type: Conference or Workshop Item (Keynote)
    Uncontrolled Keywords: multiplication of two fractions, partitioning, part-part- whole, Pendidikan Matematika Realistik Indonesia (PMRI), design research
    Subjects: L Education > L Education (General)
    Divisions: Faculty of Teacher Training and Science Education > Department of Mathematics and Sciences Education > Mathematics Education
    Depositing User: Rudi Kule
    Date Deposited: 25 Feb 2015 14:33
    Last Modified: 25 Feb 2015 14:33
    URI: http://eprints.unsri.ac.id/id/eprint/5216

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