Abstract
Teaching and learning mathematics through problem-based learning is highly promoted all around the world. This student-centered approach highlights the fact that students are sense makers. In this regard, the contexts presented in the problems given to students should serve the purpose of learning by providing meaning to construct. On the other hand, the contexts should also serve the purpose of teaching mathematics by designing meaningful problems for students and guiding them in the learning process of making sense of mathematics within a meaningful context. This book chapter discusses three different uses of contexts to enhance problem-based learning when teaching mathematics: for designing mathematical tasks, for interpreting or situating students’ thinking, and for developing citizenship competencies. In order to illustrate the three different uses, two learning situations will be presented and analyzed using these lenses: the culture present in contexts, the mathematical knowledge targeted, and critical thinking as part of citizenship competencies.
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References
Holtman, L., Julie, C., Mbekwa, M., Mtetwa, D., & Ngcobo, M. (2011). A comparison of preferences for real life situations that could be used in school mathematics in three SADC countries. Southern African Review of Education, 17, 120–137.
Jackson, K., Shahan, E., Gibbons, L., & Cobb, P. (2012). Launching complex tasks. Mathematics Teaching in the Middle School, 18(1), 24–29.
Newmann, F. M., King, M. B., & Carmichael, D. L. (2007). Authentic instruction and assessment: Common standards for rigor and relevance in teaching academic subjects. Des Moines: Iowa: Department of Education.
OECDE Programme for International Student Assessment 2012. (2013). PISA 2012 released mathematics items. Retrieved from https://www.oecd.org/pisa/pisaproducts/pisa2012-2006-rel-items-maths-ENG.pdf
Savard, A. (2015). Making decisions about gambling: The influence of risk on children’s arguments. The Mathematics Enthusiast, 12(1,2 & 3), 226–245.
Savard, A., & Manuel, D. (2016). Teaching statistics in middle school mathematics classrooms: Creating an intersection for intra and interdisciplinarity. Statistics Education Research Journal, 15(2), 239–256.
Savard, A., & Polotskaia, E. (2017). Who’s wrong? Tasks fostering understanding of mathematical relationships in word problems in elementary students. ZDM Mathematics Education. Retrieved from https://doi.org/10.1007/s11858-017-0865-5.
Smith, M. S., Hughes, E. K., Engle, R. A., & Stein, M. K. (2009). Orchestrating discussions. Mathematics Teaching in the Middle School, 14(9), 548–556.
Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2000). Implementing standards-based mathematics instruction: A casebook for professional development. New York: Teachers College Press.
Additional Suggestion for Further Reading
Again, I recommend the Mathematics Education and Society website, which aims to promote discussion about the social, ethical, and political dimensions of mathematics education. The website provides access to the past conference proceedings on the latest research in mathematics education: http://www.mescommunity.info
I recommend you to take a look on the Organization for Economic Cooperation and Development (OECD) website, section Program for International Student Assessment (PISA). This international organization provides information about teaching mathematics in international environments: http://www.oecd.org/pisa/
This book chapter focuses on the implication of modelize or mathematize a situation or a problem. In order to support your students to create models before computing, I would recommend this website on virtual manipulatives. Even older students need support when mathematize: http://nlvm.usu.edu
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Savard, A. (2018). Teaching Mathematics and Developing Citizenship: How to Use Contexts to Enhance Problem-Based Learning. In: Kajander, A., Holm, J., Chernoff, E. (eds) Teaching and Learning Secondary School Mathematics. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-92390-1_30
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