Scaffolded Daily Writing Assignments Introducing the Writing of Mathematical Proofs

David Abrahamson

Abstract


Writing mathematical proofs is a key component of writing in the discipline in mathematics. Historically, many students have struggled in pursuing this endeavor, particularly during their early exposure to the process. To help students progress toward the goal of being able to consistently create well-written proofs, I present an incremental approach used in a course for elementary education majors who are concentrating in mathematics. This approach uses daily low-stakes writing assignments. Using this instructional technique, I found that student engagement improved and that, overall, better mathematical proofs were written. One more instructor at my institution has already adopted the same methods, and I expect more to do so.

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References


Abrams, L. (2016). Seeing the forest and the trees when writing a mathematical proof. Prompt: A Journal of Academic Writing Assignments, 1(1), 19–28.

Flesher, T. (2003). Writing to learn in mathematics. The WAC Journal, 14, 37–48.

Gibbons, P. (2015). Scaffolding language, scaffolding learning: Teaching English language learning in the mainstream classroom (2nd ed.). Portsmouth, NH: Heinemann.

Marty, R. H. (1986). Teaching proof techniques. Mathematics in College, 46–53.

Marty, R. H. (1991). Getting to Eureka!: Higher Order Reasoning in Math. College Teaching, 39(1), 3–6.

Russek, B. (1998). Writing to learn mathematics. Writing Across the Curriculum, 9, 36–45.

Solow, D. (2013). How to read and do proofs (6th ed.). Malden, MA: Wiley and Sons.

Velleman, D. J. (2006). How to prove it: A structured approach (2nd ed.). New York, NY: Cambridge University Press.

Weber, K. (2001). Student difficulty in constructing proofs: The need for strategic knowledge. Educational Studies in Mathematics, 48(1), 101–119.

Weber, K. (2002). Beyond proving and explaining: Proofs that justify the use of definitions and axiomatic structures and proofs that illustrate technique. For the Learning of Mathematics, 22(3), 14–17.

Wheeler, E., & Brawner, J. (2010). Discrete mathematics for teachers. Charlotte, NC: Information Age Publishing.




DOI: http://dx.doi.org/10.31719/pjaw.v3i1.30

Copyright (c) 2019 David Abrahamson

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