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Frans van Galen
Freudenthal Institute, Utrecht University
Education Mathematics

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Solving Problems with The Percentage Bar Galen, Frans van; Eerde, Dolly van
Journal on Mathematics Education Vol 4, No 1 (2013)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.4.1.558.1-8

Abstract

At the end of primary school all children more of less know what a percentage is, but yet they often struggle with percentage problems. This article describes a study in which students of 13 and 14 years old were given a written test with percentage problems and a week later were interviewed about the way they solved some of these problems. In a teaching experiment the students were then taught the use of the percentage bar. Although the teaching experiment was very short - just one lesson  -  the results confirm that the percentage bar is a powerful model that deserves a central place in the teaching of percentages.
Developing a Model to Support Students in Solving Subtraction Murdiyani, Nila Mareta; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Galen, Frans van; Eerde, Dolly van
Journal on Mathematics Education Vol 4, No 1 (2013)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.4.1.567.95-112

Abstract

Subtraction has two meanings and each meaning leads to the different strategies. The meaning of “taking away something” suggests a direct subtraction, while the meaning of “determining the difference between two numbers” is more likely to be modeled as indirect addition. Many prior researches found that the second meaning and second strategy rarely appeared in the mathematical textbooks and teacher explanations, including in Indonesia. Therefore, this study was conducted to contribute to the development of a local instruction theory for subtraction by designing instructional activities that can facilitate first grade of primary school students to develop a model in solving two digit numbers subtraction. Consequently, design research was chosen as an appropriate approach for achieving the research aim and Realistic Mathematics Education (RME) was used as a guide to design the lesson. This study involved 6 students in the pilot experiment, 31 students in the teaching experiment, and a first grade teacher of SDN 179 Palembang. The result of this study shows that the beads string could bridge students from the contextual problems (taking ginger candies and making grains bracelets) to the use of the empty number line. It also shows that the empty number line could promote students to use different strategies (direct subtraction, indirect addition, and indirect subtraction) in solving subtraction problems. Based on these findings, it is recommended to apply RME in the teaching learning process to make it more meaningful for students.
Spatial Visualization Tasks To Support Students' Spatial Structuring In Learning Volume Measurement Revina, Shintia; Zulkardi, Zulkardi; Darmawijoyo, Darmawijoyo; Galen, Frans van
Journal on Mathematics Education Vol 2, No 2 (2011)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.2.2.745.127-146

Abstract

Many prior researches found that most of students in grade five tended to have difficulty in fully grasping the concept of volume measurement because they have to build their competence in spatial structuring. The unit of volume packing measurement must be integrated and coordinated in three-dimension. On the other hand, it is revealed the errors that students made on the volume measurement tasks with threedimensional cube arrays are related to some aspects of spatial visualization, such as the skill to "read off" two-dimensional representation of solid objects. For those reasons, this research is aimed to develop classroom activities with the use of spatial visualization tasks to support students' spatial structuring in learning volume measurement. Consequently, design research was chosen as an appropriate means to achieve this research goal. In this research, a sequence of instructional activities is designed and developed based on the hypothesis of students' learning processes. This research was conducted in grade 5 of SD Pupuk Sriwijaya Palembang, Indonesia.Keywords: volume measurement, spatial structuring, spatial visualization, design research.
Developing Student's Notion of Measurement Unit For Area Yuberta, Kurnia Rahmi; Zulkardi, Zulkardi; Hartono, Yusuf; Galen, Frans van
Journal on Mathematics Education Vol 2, No 2 (2011)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.2.2.775.173-184

Abstract

Many researchers found that students have difficulties in understanding area measurement. Students mostly focus on applying formula to find the area of certain shapes without knowing what the area is and why the formula works. It is important for the students to know what attribute being measured and to construct the unit for area measurement. Therefore, the aim of this research is to develop activities that support students to know the attribute of area and the notion of measurement unit in learning area measurement. For this purpose, design research is chosen for achieving the research goal. Realistic Mathematics Education (RME) underlies the design of context and activities. A teacher and students in grade 3 in elementary school (SDN 21) in Palembang Indonesia will be involved in this research.Keywords: Area measurement, unit, design research, RME
Co-Authors Darmawijoyo, Darmawijoyo Dolly van Eerde Kurnia Rahmi Yuberta Nila Mareta Murdiyani Ratu Ilma Indra Putri Shintia Revina Yusuf Hartono Zulkardi Zulkardi