Mathematical Investigation and Its Assessment: Implications for Mathematics Teaching and Learning
Main Article Content
Keywords
mathematical investigation, assessment in mathematics, analytic scoring rubric, education
Abstract
In view of the open-ended nature of a mathematical investigation (MI) and its emphasis on mathematical reasoning, problem solving, and communication, this paper proposes an analytic scoring framework and rubric for MI that assesses both its product and processes. The rubric underwent construct validation, try-out, and calibration by the raters and was found to be a fair and valid instrument for assessing MI. The study also proposes an assessment process for MI which includes the selection of raters, transmutation table, and procedures.
References
Bastow, B., Hughes, J., Kissane, B., & Mortlock, R.(1984). 40 Mathematical Investigations.The Mathematical Association of Western Australia: Nedlands, WA.
Ernest, P. (1991). The philosophy of mathematics education: Studies in mathematics education. London: The Falmer Press.
Jaworski, B. (1994). Investigating Mathematics Teaching: A constructivist enquiry. London: The Falmer Press.
Mertler, C. A. (2001). Designing scoring rubrics for your classroom.Practical Assessment, Research & Evaluation, 7(25). Retrieved from http://PAREonline.net/getvn.asp?v=7&n=25
Moskal, B., & Leydens, J. (2000).Scoring rubric development: Validity and reliability.Practical assessment, research & evaluation, 7(10).Retrieved from http://PAREonline.net/getvn.asp?v=7&n=10.
National Council of Teachers of Mathematics (1995).Assessment standards for school mathematics. Reston: VA.
Nivera, G. (2008). Design, integration and assessment of mathematical investigations in secondary mathematics classes. Unpublished doctoral dissertation. Manila: De la Salle University.
Orton, A., & Forbisher, L. (2005). Insights into teaching mathematics. London: Continuum.
Peressini, D., & Webb, N.(1999). Analyzing mathematical reasoning in students'responses across multiple performance assessment tasks. In Stiff, L. and Curcio, F. (Eds.), Developing mathematical reasoning in Grades K-12 (1999 Yearbook). Reston, VA: National Council of Teachers of Mathematics. 156-174.
Ronda, E. (2005). Mathematical investigations. Hand-outs given during the Facilitators Training in Science and Mathematical Investigations.Diliman, Quezon City: UP NISMED
Tobin, K., & Tippins, D. (1993). Constructivism as a referent for teaching and learning. In K. Tobin (Ed.), The practice of constructivism in science education (or TPCSE, pp. 3-21). Hillsdale, NJ: Erlbaum.
Ernest, P. (1991). The philosophy of mathematics education: Studies in mathematics education. London: The Falmer Press.
Jaworski, B. (1994). Investigating Mathematics Teaching: A constructivist enquiry. London: The Falmer Press.
Mertler, C. A. (2001). Designing scoring rubrics for your classroom.Practical Assessment, Research & Evaluation, 7(25). Retrieved from http://PAREonline.net/getvn.asp?v=7&n=25
Moskal, B., & Leydens, J. (2000).Scoring rubric development: Validity and reliability.Practical assessment, research & evaluation, 7(10).Retrieved from http://PAREonline.net/getvn.asp?v=7&n=10.
National Council of Teachers of Mathematics (1995).Assessment standards for school mathematics. Reston: VA.
Nivera, G. (2008). Design, integration and assessment of mathematical investigations in secondary mathematics classes. Unpublished doctoral dissertation. Manila: De la Salle University.
Orton, A., & Forbisher, L. (2005). Insights into teaching mathematics. London: Continuum.
Peressini, D., & Webb, N.(1999). Analyzing mathematical reasoning in students'responses across multiple performance assessment tasks. In Stiff, L. and Curcio, F. (Eds.), Developing mathematical reasoning in Grades K-12 (1999 Yearbook). Reston, VA: National Council of Teachers of Mathematics. 156-174.
Ronda, E. (2005). Mathematical investigations. Hand-outs given during the Facilitators Training in Science and Mathematical Investigations.Diliman, Quezon City: UP NISMED
Tobin, K., & Tippins, D. (1993). Constructivism as a referent for teaching and learning. In K. Tobin (Ed.), The practice of constructivism in science education (or TPCSE, pp. 3-21). Hillsdale, NJ: Erlbaum.
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Published
Nov 9, 2012
Article Details
How to Cite
Nivera, G. C. (2012). Mathematical Investigation and Its Assessment: Implications for Mathematics Teaching and Learning. The Normal Lights, 6(1). https://doi.org/10.56278/tnl.v6i1.69
Section
Research Article
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