[PDF][PDF] Students' proof schemes: A closer look at what characterizes students' proof conceptions

D Stylianou, N Chae, M Blanton - Proceedings of the 28th annual meeting …, 2006 - Citeseer
The guiding theoretical principle in this study is the notion that the process of producing a
mathematical proof can be viewed as similar to the process of solving a mathematical …

Influences on students' mathematical reasoning and patterns in its development: insights from a longitudinal study with particular reference to geometry

D Küchemann, C Hoyles - … Journal of Science and Mathematics Education, 2006 - Springer
We report some findings of the Longitudinal Proof Project, which investigated patterns in
high-attaining students' mathematical reasoning in algebra and in geometry and …

Theory usage and theoretical trends in Europe: A survey and preliminary analysis of CERME4 research reports

B Sriraman, G Kaiser - Zentralblatt für Didaktik der Mathematik, 2006 - Springer
The 29th PME research forum on theories included only one European perspective on
mathematics education. In order to convey trends in theory usage in Europe we compile …

Dual processes in mathematics: Reasoning about conditionals

M Inglis - 2006 - wrap.warwick.ac.uk
This thesis studies the reasoning behaviour of successful mathematicians. It is based on the
philosophy that, if the goal of an advanced education in mathematics is to develop talented …

[图书][B] An investigation of pre-service teachers' and professional mathematicians' perceptions of mathematical proof at the secondary school level

DM Gray - 2006 - search.proquest.com
Abstract The National Council of Teachers of Mathematics [NCTM] states that by the time
students graduate high school, they should learn to present" arguments consisting of …

[引用][C] A Problem and Its Proofs: Some Reflections

G Tennant - Mathematics in School, 2006 - JSTOR