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International Electronic Journal of Mathematics Education

International Electronic Journal of Mathematics Education
  • e-ISSN: 1306-3030
  • First published in 2006
JOURNAL ARCHIVE
Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning
Reem Jaafar, Yan Lin
  • Article Type: Research Article
  • International Electronic Journal of Mathematics Education, 2017 - Volume 12 Issue 3, pp. 503-520
  • Published Online: 19 Jul 2017
  • Article Views: 494 | Article Download: 798
  • Open Access Full Text (PDF)
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Jaafar R, Lin Y. Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning. Int Elect J Math Ed. 2017;12(3), 503-520.
APA 6th edition
In-text citation: (Jaafar & Lin, 2017)
Reference: Jaafar, R., & Lin, Y. (2017). Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning. International Electronic Journal of Mathematics Education, 12(3), 503-520.
Chicago
In-text citation: (Jaafar and Lin, 2017)
Reference: Jaafar, Reem, and Yan Lin. "Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning". International Electronic Journal of Mathematics Education 2017 12 no. 3 (2017): 503-520.
Harvard
In-text citation: (Jaafar and Lin, 2017)
Reference: Jaafar, R., and Lin, Y. (2017). Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning. International Electronic Journal of Mathematics Education, 12(3), pp. 503-520.
MLA
In-text citation: (Jaafar and Lin, 2017)
Reference: Jaafar, Reem et al. "Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning". International Electronic Journal of Mathematics Education, vol. 12, no. 3, 2017, pp. 503-520.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Jaafar R, Lin Y. Assessment for Learning in the Calculus Classroom: A Proactive Approach to Engage Students in Active Learning. Int Elect J Math Ed. 2017;12(3):503-20.

Abstract

There is a variety of classroom assessment techniques we can use in the college classroom (Angelo and Cross, 1993). In an effort to diagnose and identify gaps between students’ learning and classroom teaching, we implemented weekly short assessments in a calculus I classroom at an urban community college in the United States. The goals of these assessments were to identify misconceptions, and address them using an appropriate intervention. In this paper, we share these assessments, how they can be used to cement students’ conceptual learning, and how it can help the instructor develop insights into students’ misunderstandings. We also share students’ feedback, challenges and implications for practitioners.

Keywords

Assessment calculus community college

References

  • Angelo, T. A., & Cross, K. P. (1993). Classroom Assessment Techniques: A Handbook for College Teachers.Second Edition (2nd ed.). San Fransisco, CA: Jossey-Bass.
  • Attorps, I., Björk, K., Radic, M., & Tossavainen, T. (2013). Varied Ways to Teach the Definite Integral Concept. SOURCE International Electronic Journal of Mathematics Education, 8(2-3), 81-99.
  • Bailey, T., Jeong, D. W., & Cho, S. (2010). Referral, enrollment, and completion in developmental education sequences in community colleges. Economics of Education Review, 29(2), 255-270. doi:10.1016/j.econedurev.2009.09.002
  • Bean, J. C. (2011). Engaging ideas: The professor's guide to integrating writing, critical thinking, and active learning in the classroom. San Francisco: Jossey-Bass.
  • Bonwell, C. C., &Eison, J. A. (1991). Active learning: Creating excitement in the classroom. ASHE-Eric Higher Education Report No. 1. Washington, DC.: George Washington University.
  • Bolte, L. A. (1999). Using Concept Maps and Interpretive Essays for Assessment in Mathematics. School Science and Mathematics, 99(1), 19-30. doi:10.1111/j.1949-8594.1999.tb17442.x
  • Cross, K. P. (2003). Techniques for Promoting Active Learning. League for Innovation in the Community College Educational Testing Service, AZ: The Cross Papers #7.
  • Cullinane, M. J. (2011). Helping Mathematics Students Survive the Post-Calculus Transition. PRIMUS, 21(8), 669-684. doi:10.1080/10511971003692830
  • Dawkins, P. C., & Epperson, J. A. (2014). The development and nature of problem-solving among first-semester calculus students. International Journal of Mathematical Education in Science and Technology, 45(6), 839-862. doi:10.1080/0020739x.2014.884645
  • Güçler, B. (2013). Examining the discourse on the limit concept in a beginning-level calculus classroom. Educational Studies in Mathematics (2013), 82, 439–453.
  • Idris, N. 2009. Enhancing Students' Understanding in Calculus Through Writing. International Electronic Journal of Mathematics Education. 4(1): 36-55.
  • Iannone, P., & Simpson, A. (2015). Students' preferences in undergraduate mathematics assessment. Studies in Higher Education, 40(6), 1046-1067. Retrieved from http://dx.doi.org/10.1080/03075079.2013.858683
  • Jaafar, R. (2016). Writing-to-Learn Activities to Provoke Deeper Learning in Calculus. PRIMUS, 26(1), 67-82. doi:10.1080/10511970.2015.1053642
  • Kinley, (2016). Grade Twelve Students Establishing the Relationship Between Differentiation and Integration in Calculus Using graphs. IEJME-Mathematics Education, 11(9), 3371-3385.
  • Maharaj, A., & Wagh, V. (2014). An outline of possible pre-course diagnostics for differential calculus. South African Journal of Science, 110(7/8), 1-7. doi:10.1590/sajs.2014/20130244
  • Meyers, C., & Jones, T. B. (1993). Promoting active learning: Strategies for the college classroom. San Francisco, CA: Jossey-Bass.
  • National Research Council, & Bass, H. (1993). Measuring what counts: Conceptual guide for mathematics assessment. Washington, DC: National Academy Press.
  • Porter, M. K., & Masingila, J. O. (2000). Examining the effects of writing on conceptual and procedural knowledge in calculus. Educational Studies in Mathematics, 42(2), 165–177.
  • Pugalee, D. K. (2001). Writing, Mathematics, and Metacognition: Looking for Connections Through Students' Work in Mathematical Problem Solving. School Science and Mathematics, 101(5), 236-245. doi:10.1111/j.1949-8594.2001.tb18026.x
  • Robert, A., & Speer, N. (2001). Research on the teaching and learning of calculus/elementary analysis. In D. Holton (Ed.), The Teaching and Learning of Mathematics at University Level: An ICMI Study (Vol. 7, pp. 283–299). Dordrecht & Boston: Kluwer Academic Publishers.
  • Rybolt, W., & Recck, G. (2012). Conceptual versus Computational Formulae in Calculus and Statistics Courses. The International Journal of Technology, Knowledge, and Society: Annual Review, 8(2), 1-6. doi:10.18848/1832-3669/cgp/v08i02/56287.
  • Scheja, M., & Pettersson, K. (2009). Transformation and contextualization: conceptualizing students’ conceptual understandings of threshold concepts in calculus. Higher Education, 59(2), 221-241. doi:10.1007/s10734-009-9244-7
  • Thompson, P. W. (1994). Images of rate and operational understanding of the fundamental theorem of calculus. Educational Studies in Mathematics, 26(2-3), 229-274. doi:10.1007/bf01273664
  • Vincent, B., LaRue, R., Sealey, V., & Engelke, N. (2015). Calculus students' early concept images of tangent lines. International Journal of Mathematical Education in Science and Technology, 46(5), 641-657. doi:10.1080/0020739x.2015.1005700.
  • Yoder, J., & Hochevar, C. (2005). Encouraging Active Learning Can Improve Students' Performance on Examinations. Teaching of Psychology, 32(2), 91-95. doi:10.1207/s15328023top3202_2

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