Can mathematical problem solving be taught? Preliminary answers from 30 years of research
FK Lester Jr, J Cai - Posing and solving mathematical problems: Advances …, 2016 - Springer
In this chapter, the authors note that during the past 30 years there have been significant
advances in our understanding of the affective, cognitive, and metacognitive aspects of …
advances in our understanding of the affective, cognitive, and metacognitive aspects of …
[PDF][PDF] Toward comprehensive perspectives on the learning and teaching of proof
G Harel, L Sowder - … of research on mathematics teaching and …, 2007 - mathweb.ucsd.edu
One of the most remarkable gifts human civilization has inherited from ancient Greece is the
notion of mathematical proof. The basic scheme of Euclid's Elements has proved …
notion of mathematical proof. The basic scheme of Euclid's Elements has proved …
Proof and proving in school mathematics
AL Stylianides - Journal for research in Mathematics Education, 2007 - pubs.nctm.org
Many researchers and curriculum frameworks recommend that the concept of proof and the
corresponding activity of proving become part of students' mathematical experiences …
corresponding activity of proving become part of students' mathematical experiences …
An analytical model for studying the development of learners' mathematical ideas and reasoning using videotape data
We review the literature on videotape methodology for observational research in
mathematics education. We organize the review by presenting issues related to data …
mathematics education. We organize the review by presenting issues related to data …
[PDF][PDF] Research on the teaching and learning of proof: Taking stock and moving forward
In this chapter we focus on the concept of proof, which is important for students'
mathematical education but also hard for teachers to teach and difficult for students to learn …
mathematical education but also hard for teachers to teach and difficult for students to learn …
Providing a foundation for deductive reasoning: Students' interpretations when using dynamic geometry software and their evolving mathematical explanations
K Jones - Educational studies in mathematics, 2000 - Springer
A key issue for mathematics education is howchildren can be supported in shifting
frombecause it looks right'orbecause it works in these cases' to convincing arguments which …
frombecause it looks right'orbecause it works in these cases' to convincing arguments which …
Teachers' conceptions of proof in the context of secondary school mathematics
EJ Knuth - Journal of mathematics teacher education, 2002 - Springer
Current reform efforts in the United States arecalling for substantial changes in the
natureand role of proof in secondary schoolmathematics–changes designed to provide all …
natureand role of proof in secondary schoolmathematics–changes designed to provide all …
Teaching and learning discrete mathematics
In this paper, we provide an overall perspective on the teaching and learning of discrete
mathematics. Our aim is to highlight what research has been conducted in this area and to …
mathematics. Our aim is to highlight what research has been conducted in this area and to …
Proof and proving in mathematics education
MA Mariotti - Handbook of research on the psychology of …, 2006 - brill.com
Nowadays, differently to ten years ago, there seems to be a general consensus on the fact
that the development of a sense of proof constitutes an important objective of mathematical …
that the development of a sense of proof constitutes an important objective of mathematical …
The characteristics of mathematical creativity
B Sriraman - The mathematics educator, 2004 - openjournals.libs.uga.edu
Mathematical creativity ensures the growth of mathematics as a whole. However, the source
of this growth, the creativity of the mathematician, is a relatively unexplored area in …
of this growth, the creativity of the mathematician, is a relatively unexplored area in …