Pseudo-solutioning
(2004)
Journal Article
de Hoyos, M., Gray, E., & Simpson, A. (2004). Pseudo-solutioning. Research in Mathematics Education, 6(1), 101-113
All Outputs (52)
Convergence of sequences and series: interactions between visual reasoning and the learner's beliefs about their own role (2004)
Journal Article
Alcock, L., & Simpson, A. (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), 1-32. https://doi.org/10.1023/b%3Aeduc.0000047051.07646.92This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and se... Read More about Convergence of sequences and series: interactions between visual reasoning and the learner's beliefs about their own role.
Definitions: Dealing with Categories Mathematically (2002)
Journal Article
Alcock, L., & Simpson, A. (2002). Definitions: Dealing with Categories Mathematically. For the learning of mathematics, 22(2), 28-34Explores differences between mathematical definitions and non-mathematical definitions by contrasting three approaches to mathematical reasoning. Examines the consequences of the use of those approaches in a first course in real analysis. Analyzes st... Read More about Definitions: Dealing with Categories Mathematically.
What use are mathematics education researchers? (2000)
Journal Article
Simpson, A. (2000). What use are mathematics education researchers?. MSOR Connections, 1, 5-8
When does a way of working become a methodology? (2000)
Journal Article
Duffin, J., & Simpson, A. (2000). When does a way of working become a methodology?. Journal of Mathematical Behavior, 19(2), 175-188. https://doi.org/10.1016/s0732-3123%2800%2900043-2We discuss the question of how to determine what are valid methodologies in mathematics education and the problems associated with developing new ways of working into acceptable research methods. We develop the idea of a two-stage validation process... Read More about When does a way of working become a methodology?.
A search for understanding (2000)
Journal Article
Duffin, J., & Simpson, A. (2000). A search for understanding. Journal of Mathematical Behavior, 18(4), 415-427. https://doi.org/10.1016/s0732-3123%2800%2900028-6We discuss an important breakthrough for us in our search for a technical meaning of “understanding” in mathematics education. In this article, we describe the background to this discovery, the catalyst for the breakthrough, and a concise explanation... Read More about A search for understanding.
What is the object of the encapsulation of a process? (1999)
Journal Article
Tall, D., Thomas, M., Davis, G., Gray, E., & Simpson, A. (1999). What is the object of the encapsulation of a process?. Journal of Mathematical Behavior, 18(2), 223-241
Mathematics across the university: facing the problem (1996)
Journal Article
Duffin, J., & Simpson, A. (1996). Mathematics across the university: facing the problem. Journal of Further and Higher Education, 20(2), 116-124
A theory, a story, its analysis and some implications (1995)
Journal Article
Duffin, J., & Simpson, A. (1995). A theory, a story, its analysis and some implications. Journal of Mathematical Behavior, 14(2), 237-250
Natural, conflicting and alien (1993)
Journal Article
Duffin, J., & Simpson, A. (1993). Natural, conflicting and alien. Journal of Mathematical Behavior, 12(4), 313-320
Interacting reflections on a young pupil's work. (1991)
Journal Article
Duffin, J., & Simpson, A. (1991). Interacting reflections on a young pupil's work. For the learning of mathematics, 11(3), 10-15
The infidel is innocent (1990)
Journal Article
Simpson, A. (1990). The infidel is innocent. Mathematical Intelligencer, 12(3), 43-51