Invented Strategies For Partitive Division On Fractions Using Duration Context

Muchsin, Sitti, Busyrah and Hartono, Yusuf and Ilma, Ratu (2014) Invented Strategies For Partitive Division On Fractions Using Duration Context. 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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    This study aims to produce a learning trajectory in the division of fraction. The Indonesia Realistic Mathematics Education (PMRI) that affiliated with thematic integrative learning curriculum 2013 was selected as the research approach. Design research that consists of three stages; preliminary design, teaching experiments, and retrospective analysis was chosen to achieve the research objectives by designed Hypothetical Learning Trajectory (HLT). The HLT was tested on 34 students of class V SDN 179 Palembang. The results showed that the given designed activities can stimulate informal knowledge and it provided the information about students’ prerequisite knowledge as a bridge in understanding division of fractions. Completing symmetrical patterns from the given partial part of the patterns can stimulate students to understand the concept of reciprocal or multiplicative inverse. Moreover, by partitioning the area and the set of objects, students’ models and representations on the partitive problems are observable. Furthermore, students’ strategies have developed gradually to a more formal mathematics. In which the students used the area models as a model of partition situation. The more formal reasoning such as ratio, repeated addition, and multiplication are the model for, that bring the students to the rules of division of fractions what so called invert and multiply algorithm

    Item Type: Conference or Workshop Item (Keynote)
    Uncontrolled Keywords: PMRI, division of fractions, partitive problems
    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

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