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 …

In the chapter on proof in the previous PME Research Handbook, Mariotti (2006) observed
that there had seemed to be “a general consensus on the fact that the development of a …

Teaching and Learning Patterns in School Mathematics Page 1 Teaching and Learning Patterns
in School Mathematics Ferdinand Rivera Psychological and Pedagogical Considerations Page …

Although proving is core to mathematics as a sense-making activity, it currently has a
marginal place in elementary classrooms internationally. Blending research with practical …

Lesson play is a novel construct in research and teachers' professional development in
mathematics education. Lesson play refers to a lesson or part of a lesson presented in …

Proof and reasoning are central to learning mathematics with understanding. Yet proof is
seen as challenging to teach and to learn. In a capstone course for preservice teachers, we …

This study tries to understand how pre-service teachers, for basic education, solve problems
involving the generalization of visual patterns, identifying: the strategies used; the difficulties …

Prior research showed that many secondary students fail to construct arguments that meet
the standard of proof in mathematics. However, this research tended to use survey methods …

A resolução de problemas constitui uma capacidade matemática fundamental e
simultaneamente uma abordagem privilegiada para a aprendizagem de diversos conceitos …

Many empirical studies documented students' challenges with operation-choice problems, in
particular for multiplication and division with rational numbers. The design principle of …