Abstract
Summative assessments, and in particular, online digital summative assessments are dominated by items that present a limited number of possible responses for selection (with multiple choice being the most prevalent example). Less constrained constructed responses to a task might be submitted via digital technology , but in many cases require human evaluation. To avoid this, we present a prototype for enhancing digital assessment by using dynamic computer algebra systems linked with dynamic geometry environments. The technology enhanced items created by this system allow students to create mathematical objects required to have stated properties, and the satisfaction of those properties can be evaluated for mathematical correctness automatically by the system.
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References
Black, P., Harrison, C., Lee, C., Marshall, B., & Wiliam, D. (2003). Assessment for learning: Putting it into practice. Maidenhead, U.K.: Open University Press and McGraw-Hill Education Publishers.
Cohen, J., & Hollebrands, K. (2011). Technology tools to support mathematics teaching. In T. P. Dick & K. F. Hollebrands (Eds.), Focus in high school mathematics: Technology to support reasoning and sense making (pp. 105–120). Reston, VA: National Council of Teachers of Mathematics.
Drijvers, P., Ball, L., Barzel, B., Heid, M. K., Cao, Y., & Maschietto, M. (2016). Uses of technology in lower secondary mathematics education; A concise topical survey. New York: Springer.
Delozanne, É., Prévit, D., Grugeon, B., & Chenevotot, F. (2008). Automatic multi-criteria assessment of open-ended questions: A case study in school algebra. In B. P. Woolf, E. Aïmeur, R. Nkambou, & S. Lajoie (Eds.), ITS 2008. LNCS (Vol. 5091, pp. 101–110). Heidelberg: Springer.
Dick, T., & Burrill, G. (2016). Design and implementation principles for dynamic interactive mathematics technologies. In M. Niess, S. Driskell, & K. Hollebrands (Eds.), Handbook of research on transforming mathematics teacher education in the digital age (pp. 23–52). Hershey, PA: IGI Global Publishers.
Dick, T. P., & Hollebrands, K. F. (Eds.). (2011). Focus in high school mathematics: Technology to support reasoning and sense making. Reston, VA: National Council of Teachers of Mathematics.
McFarland, T. D., & Parker, R. (1990). Expert systems in education and training. Englewood Cliffs, NJ: Educational Testing Service Publications.
National Governors Association Center for Best Practices Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: National Governors Association Center for Best Practices Council of Chief State School Officers. Retrieved from http://www.corestandards.org/Math.
Smith, M. S., & Stein, M. K. (2011). Five practices for orchestrating productive mathematics discussions. Reston, VA: National Council of Teachers of Mathematics.
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, NY: Teachers College Press.
Zbiek, R., Heid, M. K., Blume, G. W., & Dick, T. P. (2007). Research on technology in mathematics education: A perspective of constructs. In F. Lester (Ed.), Handbook of research on mathematics learning and teaching (pp. 1169–1207). Greenwich, CT: Information Age Publishers.
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Dick, T.P. (2018). Using Dynamic CAS and Geometry to Enhance Digital Assessments. In: Ball, L., Drijvers, P., Ladel, S., Siller, HS., Tabach, M., Vale, C. (eds) Uses of Technology in Primary and Secondary Mathematics Education. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-76575-4_14
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DOI: https://doi.org/10.1007/978-3-319-76575-4_14
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