Journal articles
2023
Sa, R., Inglis, M., Alcock, L., & Tanswell, F. (2023). Do mathematicians agree about mathematical beauty? Review of Philosophy and Psychology. https://doi.org/10.1007/s13164-022-00669-3
Woollacott, B., Alcock, L., & Inglis, M. (2023). The spatial contiguity principle in mathematics textbooks. Research in Mathematics Education. https://doi.org/10.1080/14794802.2022.2158122
2021
Davies, B., Jones, I., & Alcock, L. (2021). What do mathematicians mean by proof? A comparative judgement study of students’ and mathematicians’ views. Journal of Mathematical Behavior, 61, 100824. https://doi.org/10.1016/j.jmathb.2020.100824
2020
Davies, B., Alcock, L., & Jones, I. (2020). Comparative judgement, proof summaries and proof comprehension. Educational Studies in Mathematics, 105, 181-197. https://doi.org/10.1007/s10649-020-09984-x
Alcock, L., Hernandez-Martinez, P., Godwin Patel, A., & Sirl, D. (2020). Study habits and attainment in undergraduate mathematics: A social network analysis. Journal for Research in Mathematics Education, 51, 26-49. https://doi.org/10.5951/jresematheduc.2019.0006
2018
Panse, A., Alcock, L., & Inglis, M. (2018). Reading proofs for validation and comprehension: An expert-novice eye-movement study. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-018-0077-6
2017
Roy, S., Alcock, L., & Inglis, M. (2017). Multimedia resources designed to support learning from written proofs: An eye-movement study. Educational Studies in Mathematics, 96, 249-266. https://doi.org/10.1007/s10649-017-9754-7
Wainwright, E., Attridge, N., Wainwright, D., Alcock, L., & Inglis, M. (2017). Support with caveats: Advocates’ views of the Theory of Formal Discipline as a reason for the study of advanced mathematics. Research in Mathematics Education, 19, 20-41. https://doi.org/10.1080/14794802.2017.1285720
Alcock, L., & Simpson, A. (2017). Interactions between defining, explaining and classifying: The case of increasing and decreasing sequences. Educational Studies in Mathematics, 94, 5-19. https://doi.org/10.1007/s10649-016-9709-4
2016
Alcock, L., Ansari, D., Batchelor, S., Bisson, M.-J., De Smedt, B., Göbel, S.M., Hannula-Sormunen, M., Hodgen, J., Inglis, M., Jones, I., Mazzocco, M., McNeil, M., Schneider, M., Simms, V., & Weber, K. (2016). Challenges in mathematical cognition: A collaboratively-derived research agenda. Journal of Numerical Cognition, 2, 20-41. https://doi.org/10.5964/jnc.v2i1.10
Trenholm, S., Alcock, L., & Robinson, C. (2016). The instructor experience of fully online tertiary mathematics: A challenge and an opportunity. Journal for Research in Mathematics Education, 47, 147-161. https://doi.org/10.5951/jresematheduc.47.2.0147
2015
Alcock, L., Brown, G. & Dunning, T.C. (2015). Independent study workbooks for proofs in group theory. International Journal for Research in Undergraduate Mathematics Education, 1, 3-26. https://doi.org/10.1007/s40753-015-0009-7
Trenholm, S., Alcock, L., & Robinson, C. (2015). An investigation of assessment and feedback practices in fully asynchronous online undergraduate mathematics courses. International Journal of Mathematical Education in Science and Technology. 46, 1197-1221. https://doi.org/10.1080/0020739X.2015.1036946
2014
Alcock, L., Attridge, N., Kenny, S., & Inglis, M. (2014). Achievement and behaviour in undergraduate mathematics: Personality is a better predictor than gender. Research in Mathematics Education, 16, 1-17. https://doi.org/10.1080/14794802.2013.874094
Hodds, M., Alcock, L., & Inglis, M. (2014). Self-explanation training improves proof comprehension. Journal for Research in Mathematics Education, 45, 62-101. https://doi.org/10.1080/03075079.2013.821974
Jones, I., & Alcock, L. (2014). Peer assessment without assessment criteria. Studies in Higher Education, 39, 1774-1787. https://doi.org/10.1080/03075079.2013.821974
2013
Inglis, M., Mejia-Ramos, J.-P., Weber, K., & Alcock, L. (2013). On mathematicians’ different standards when evaluating elementary proofs. Topics in Cognitive Science, 5, 270-282. https://doi.org/10.1111/tops.12019
Inglis, M. & Alcock, L. (2013). Skimming: A Response to Weber & Mejía-Ramos. Journal for Research in Mathematics Education, 44, 471-474. https://doi.org/10.5951/jresematheduc.43.4.0358
2012
Inglis, M., & Alcock, L. (2012). Expert and novice approaches to reading mathematical proofs. Journal for Research in Mathematics Education, 43, 358-390. https://doi.org/10.5951/jresematheduc.43.4.0358
Trenholm, S., Alcock, L., & Robinson, C. (2012). Mathematics lecturing in the digital age. International Journal of Mathematical Education in Science and Technology, 43, 703-716. https://doi.org/10.1080/0020739X.2011.646325
2011
Alcock, L. and Simpson, A. (2011). Classification and concept consistency. Canadian Journal of Science, Mathematics and Technology Education, 11, 91–106. https://doi.org/10.1080/14926156.2011.570476
Alcock, L. & Wilkinson, N. (2011). e-Proofs: Design of a resource to support proof comprehension in mathematics. Educational Designer, 4. http://www.educationaldesigner.org/ed/volume1/issue4/article14/index.htm.
2010
Alcock, L. & Weber, K. (2010). Undergraduates’ example use in proof construction: Purposes and effectiveness. Investigations in Mathematics Learning, 3(1), 1-22. https://doi.org/10.1080/24727466.2010.11790298
Edwards, A. & Alcock, L. (2010). Using Rasch analysis to identify uncharacteristic responses to undergraduate assessments. Teaching Mathematics and its Applications, 29, 165-175. https://doi.org/10.1093/teamat/hrq008
Alcock, L. & Inglis, M. (2010). Visual considerations in the presentation of mathematical proofs. Seminar.Net 6(1). http://seminar.net/index.php/component/ content/article/75/139-visual-considerations-in-the-presentation-of-mathematical-proofs.
Alcock, L. (2010). Mathematicians’ perspectives on the teaching and learning of proof. In F. Hitt, D. Holton & P.W. Thompson (Eds.) Research in Collegiate Mathematics EducationVII, Washington DC: MAA, pp.63-91. https://doi.org/10.1090/cbmath/016/03
Alcock, L. & Weber, K. (2010). Referential and syntactic approaches to proof: Case studies from a transition-to-proof course. In F. Hitt, D. Holton & P.W. Thompson (Eds.) Research in Collegiate Mathematics EducationVII, Washington DC: MAA, pp.93-114. https://doi.org/10.1090/cbmath/016/04
2009
Alcock, L. & Inglis, M. (2009). Representation systems and undergraduate proof production: A comment on Weber. Journal of Mathematical Behavior, 28, 209-211. https://doi.org/10.1016/j.jmathb.2009.10.001
2008
Alcock, L. & Inglis, M. (2008). Doctoral students’ use of examples in evaluating and proving conjectures. Educational Studies in Mathematics, 69, 111-129. https://doi.org/10.1007/s10649-008-9149-x
2005
Alcock, L.J. & Weber, K. (2005). Proof validation in real analysis: Inferring and checking warrants. Journal of Mathematical Behavior, 24, 125-134. https://doi.org/10.1016/j.jmathb.2005.03.003
Alcock, L.J. & Simpson, A.P. (2005). Convergence of sequences and series 2: interactions between non-visual reasoning and the learner’s beliefs about their own role. Educational Studies in Mathematics, 58, 77-110. https://doi.org/10.1007/s10649-005-2813-5
Weber, K. & Alcock, L.J. (2005). Using warranted implications to understand and validate proofs. For the Learning of Mathematics, 25, 34-38, 51.
2004
Alcock, L.J. & Simpson, A.P. (2004). Convergence of sequences and series: interactions between visual reasoning and the learner’s beliefs about their own role. Educational Studies in Mathematics, 57, 1-32. https://doi.org/10.1023/B:EDUC.0000047051.07646.92
Weber, K. & Alcock, L.J. (2004). Semantic and syntactic proof productions. Educational Studies in Mathematics, 56, 209-234. https://doi.org/10.1023/B:EDUC.0000040410.57253.a1
2002
Warner, L.B., Davis, G.E., Alcock, L.J. & Coppolo, J. Jr. (2002). Flexible mathematical thinking and multiple representations in middle school mathematics. Mediterranean Journal for Research in Mathematics Education, 1, 37-61.
Alcock, L.J. & Simpson, A.P. (2002). Definitions: dealing with categories mathematically. For the Learning of Mathematics, 22, 28-34.
Book chapters
2019
Mejía-Ramos, J.P., Alcock, L., Lew, K., Rago, P., Sangwin, C., & Inglis, M. (2019). Using corpus linguistics to investigate mathematical explanation. In E. Fischer (Ed.), Methodological advances in experimental philosophy.
2012
Jones, I. & Alcock, L. (2012). Summative peer assessment of undergraduate calculus using adaptive comparative judgement. In P. Iannone & A. Simpson (Eds.), Mapping University Mathematics Assessment. Practices. Norwich: University of East Anglia, pp.63-74.
2010
Alcock, L. (2010). Interactions between teaching and research: Developing pedagogical content knowledge for Real Analysis. In R. Leikin & R. Zazkis (Eds.), Learning through teaching: Developing mathematics teachers’ knowledge and expertise in practice. Dordrecht: Springer, pp. 227-246.
2009
Weber, K. & Alcock, L. (2009). Proof in Advanced Mathematics Classes: Semantic and Syntactic Reasoning in the Representation System of Proof. In D.A. Stylianou, M.L. Blanton & E. Knuth (Eds.), Teaching and learning proof across the grades: A K-16 perspective. New York: Routledge, pp. 323-338.
2001
Alcock, L.J. & Simpson, A.P. (2001). The Warwick Analysis project: practice and theory. In D. Holton, (Ed.), The teaching and learning of mathematics at university level, Dordrecht: Kluwer, pp. 99-111.
Conference papers
2017
Alcock, L., Inglis, M., Lew, K., Mejía-Ramos, P., Rago, P., & Sangwin, C. (2017). Comparing expert and learner mathematical language: A corpus linguistics approach. CRUME 20, San Diego, USA.
2016
Alcock, L., Hernandez-Martinez, P., & Godwin Patel, A. (2016). Study habits in undergraduate mathematics: A social network analysis. PME40. Szeged, Hungary.
2015
Alcock, L., Kilbey, T., & Inglis, M. (2015). How do undergraduates read mathematical texts? An eye-movement study. khdm Conference 2015: Didactics of Mathematics in Higher Education as a Scientific Discipline. Hannover, Germany.
Alcock, L., Owen, A., & Allinson, R. (2015). Diagram construction and performance in advanced mathematics. PME 39. Hobart, Tasmania, Australia.
2014
Alcock, L., Bailey, T., Inglis, M., & Docherty, P. (2014). The ability to reject invalid logical inferences predicts proof comprehension and mathematics performance. CRUME 17. Denver, CO, USA.
2010
Roy, S., Alcock, L. & Inglis, M. (2010). Undergraduates’ proof comprehension: A comparative study of three forms of proof presentation. CRUME 13. Raleigh, NC, USA.
Edwards, A. & Alcock, L. (2010). How do undergraduate students navigate their example spaces? CRUME 13. Raleigh, NC, USA.
2009
Alcock, L. & Simpson, A. (2009). The role of definitions in example classification. In M. Tzekaki, M. Kaldrimidou & H. Sakonidis (Eds.), PME 33. Vol. 2 (pp.33-40). Thessaloniki, Greece.
Alcock, L. (2009). Teaching proof to undergraduates: Semantic and syntactic approaches. Proceedings of the ICMI Study 19 Conference: Proof and Proving in Mathematics Education. Taipei, Taiwan. Online at http://ocs.library.utoronto.ca/index.php/icmi/8.
Alcock, L. (2009). e-Proofs: Student experience of online resources to aid understanding of mathematical proofs. CRUME 12. Raleigh, NC, USA.
Alcock, L. (2009). Workbooks for independent study of group theory proofs. CRUME 12. Raleigh, NC, USA.
2008
Alcock, L.J. (2008). e-Proofs: Online resources to aid understanding of mathematical proofs. CETL-MSOR Conference. Lancaster, UK.
2007
Alcock, L.J. (2007). How do your students think about proof? A DVD resource for Mathematicians. PME 31. Seoul, South Korea.
2005
Weber, K., Alcock, L.J. & Radu, I. (2005). Undergraduates’ use of examples in a transition to proof course. PME-NA 27. Roanoake, Virginia, USA.
Alcock, L.J. & Weber, K. (2005). Referential and syntactic approaches to proof: Case studies from a transition course. PME 29. Melbourne, Australia.
2004
Weber, K. & Alcock, L.J. (2004). How do mathematicians validate proofs? PME-NA 26. Toronto, Canada.
Alcock, L.J. (2004). Uses of example objects in proving. PME 28. Bergen, Norway.
Alcock, L.J. (2004). Mathematicians’ perspectives on the transition to formal proof. Topic Study Group 19, 10th International Congress on Mathematics Education, Copenhagen, Denmark, (http://www.icme-organisers.dk/tsg19/Alcock.htm).
2003
Warner, L.B., Alcock, L.J., Coppolo, J. & Davis, G.E. (2003). How does flexible thinking contribute to the growth of understanding? PME 27 & PME-NA 25. Honolulu, Hawaii, USA.
2002
Alcock, L.J. & Simpson, A.P. (2002). Two components in learning to reason using definitions. 2nd International Conference on the Teaching of Mathematics (at the Undergraduate Level), Hersonisoss, Greece, (www.math.uoc.gr/~ictm2/).
2001
Alcock, L.J. & Simpson, A.P. (2001). Cognitive loops and failure in university mathematics, PME 25. Utrecht, The Netherlands.
1999
Alcock, L.J. & Simpson, A.P. (1999). The rigour prefix. PME 23. Haifa, Israel.
1998
Alcock, L.J. & Simpson, A.P., (1998). Definitions in university students’ perceptions of structure. Proceedings of the International Conference on the Teaching of Mathematics, Samos, Greece.