"Strengthening Connections with the Audience: Reformation and Exemplification in Mathematics Research Articles"

Kristy Lesperance

Kristy was in her third year of undergraduate studies at the University of British Columbia when this essay was originally written, studying Mathematics under the faculty of Arts. The paper was written for an upper-level, intensive research and scholarly writing course using corpus analysis to investigate discursive features of literature from the student’s chosen major.

Contents

Introduction

Mathematics in Discourse Analysis

Method

Results & Discussions 

Results & Discussions Cont.

Conclusion

Works Cited

 Works Cited

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Becher, T. (1994). The significance of disciplinary differences. Studies in Higher Education, 19(2), 151-161.

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Charles, M. (2009). Stance, interaction and the rhetorical patterns of restrictive adverbs: Discourse roles of only, just, simply and merely. In Charles, M., Pecorari, D., & Hunston, S. (Eds.), Academic writing: At the interface of corpus and discourse (pp. 152-169). London, GBR: Continuum International Publishing. Retrieved from http://www.ebrary.com

Cuenca, M. J. & Bach, C. (2007). Contrasting the form and use of reformulation markers. Discourse Studies, 9(2), 149-175. doi: 10.1177/1461445607075347

Graves, H., Moghaddasi, S., & Hashim, A. (2013). Mathematics is the method: Exploring the macro-organizational structure of research articles in mathematics. Discourse Studies, 15(4), 421-438. doi: 10.1177/1461445613482430

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Paltridge, B. (2008). Textographies and the researching and teaching of writing. Ibérica, 15, 9-24.

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Van Dijk, T. A. (2006). Discourse, context and cognition. Discourse Studies, (8)1, 159-177. doi:10.1177/1461445606059565

Corpus Materials

Theoretical and applied research articles

Bryant, R. & Harvey, R. (1989). Submanifolds in geometry. Journal of the American Mathematical Society, 2(1), 1-31.

Burq, N. & Zworski, M. (2004). Geometric control in the presence of a black box. Journal of the American Mathematical Society, 17(2), 443-471.

Cortés, J. & Bullo, F. (2009). Nonsmooth coordination and geometric optimization via distributed dynamical systems. SIAM Review, 51(1), 163-189. doi:10.1137/080737551

Ecker, J. G. (1980). Geometric programming: Methods, computations and applications. SIAM Review, 22(3), 338-362.

Ein, L. & Lazarsfeld, R. (1997). Singularities of theta divisors and the birational geometry of irregular varieties. Journal of the American Mathematical Society, 10(1), 243-258.

Estabrook, F. B. & Wahlquist, H. D. (1975). The geometric approach to sets of ordinary differential equations and Hamiltonian dynamics. SIAM Review, 17(2), 201-220.

Frenkel, E., Gaitsgory, D., Kazhdan, D., & Vilonen, K. (1998). Geometric realization of Whittaker functions and the Langlands conjecture. Journal of the American Mathematical Society, 11(2), 451-484.

Ivancevic, V. (2004). Symplectic rotational geometry in human biomechanics. SIAM Review, 46(3), 455-474. doi: 10.1137/S003614450341313X

Jeffrey, M. R. & Hogan, S. J. (2011). The geometry of generic sliding bifurcations. SIAM Review, 53(3), 505-525. doi:10.1137/090764608

Lebrun, C. (1992). Twistors, Kähler manifolds, and bimeromorphic geometry 1. Journal of the American Mathematical Society, 5(2), 289-316.

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Pavon, M. & Ferrante, A. (2013). On the geometry of maximum entropy problems. SIAM Review, 55(3), 415-439. doi:10.1137/120862843

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Sleator, D., Tarjan, R. E., & Thurston, W. P. (1988). Rotation distance, triangulations, and hyperbolic geometry. Journal of the American Mathematical Society, 1(3), 647-681.

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Mathematics education research articles

Biza, I., Christou, C., & Zachariades, T. (2008). Student perspectives on the relationship between a curve and its tangent in the transition from Euclidean geometry to analysis. Research in Mathematics Education, 10(1), 53-70. doi:10.1080/14794800801916457

Burger, W. F. & Shaughnessy, J. M. (1986). Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17(1), 31-48.

Edwards, L. D. (1991). Children’s learning in a computer microworld for transformation geometry. Journal for Research in Mathematics Education, 22(2), 122-137.

Herbst, P. G. (2006). Teaching geometry with problems: Negotiating instructional situations and mathematical tasks. Journal for Research in Mathematics Education, 37(4), 313-347.

Hollebrands, K. F. (2007). The role of a dynamic software program for geometry in the strategies high school mathematics students employ. Journal for Research in Mathematics Education, 38(2), 164-192.

Hollebrands, K. F., Conner, A, & Smith, R. C. (2010). The nature of arguments provided by college geometry students with access to technology while solving problems. Journal for Research in Mathematics Education, 41(4), 324-350.

Lawson, M. J. & Chinnappan, M. (2000). Knowledge connectedness in geometry problem solving. Journal for Research in Mathematics Education, 31(1), 26-43.

Mariotti, M. A. (2012). Proof and proving in the classroom: Dynamic geometry systems as tools of semiotic mediation. Research in Mathematics Education, 14(2), 163-185. doi:10.1080/14794802.2012.694282

Psycharis, G. & Kynigos, C. (2009). Normalising geometrical figures: Dynamic manipulation and construction of meanings for ratio and proportion. Research in Mathematics Education, 11(2), 149-166. doi:10.1080/14794800903063349

Sinclair, N. & Yurita, V. (2008). To be or to become: How dynamic geometry changes discourse. Research in Mathematics Education, 10(2), 135-150. doi:10.1080/14794800802233670

Swafford, J. O., Jones, G. A., & Thornton, C. A. (1997). Increased knowledge in geometry and instructional practice. Journal for Research in Mathematics Education, 28(4), 467-483.

Wang, S. & Kinzel, M. (2014). How do they know it is a parallelogram? Analysing geometric discourse at van Hiele level 3. Research in Mathematics Education, 16(3), 288-305. doi:10.1080/14794802.2014.933711