Solving Problems with The Percentage Bar
Frans van Galen, Dolly van Eerde
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.
Keywords
percentage; model; design research
References
Janssen, J., F. van der Schoot & B. Hemker (2005). Balans [32] van het Reken- Wiskundeonderwijs aan het Einde van de Basisschool 4; Uitkomsten van de Vierde Peiling in 2004. Arnhem: Cito.
Rianasari, V.F., I. K. Budasaya & S. M. Patahuddin (2012). Supporting Students' Understanding of Percentage, IndoMS. Journal on Mathematics Education, 3(1), 29-40.
Van den Heuvel-Panhuizen, M. (2003). The didactical use of models in Realistic Mathematics Education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9-35.
Van Galen, F., E. Feijs, N. Figueiredo, K. Gravemeijer, E van Herpen & R. Keijzer (2008). Fractions, Percentages, Decimals and Proportions; a Learning- Teaching Trajectory for Grade 4, 5 and 6. Rotterdam/Taipei: Sense Publishers.
DOI:
https://doi.org/10.22342/jme.4.1.558.1-8
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Journal on Mathematics Education
Doctoral Program on Mathematics Education
Faculty of Teacher Training and Education, Universitas Sriwijaya Kampus FKIP Bukit Besar Jl. Srijaya Negara, Bukit Besar Palembang - 30139
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