International comparative studies on mathematics teaching and learning often provide unitary and harmonious images of classroom practices. This paper aims to complement those studies by describing the complex aspects of those practices. Adopting activity theory as a framework, this paper considers classroom teaching and learning of mathematics as…

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

Culture shapes pupils' mathematical learning, their performances and life trajectories of participation (César, 2013a, 2013b). It also contributes to the senses they attribute to mathematical learning (Bakhtin, 1929/1981). Using collaborative work and interempowerment mechanisms facilitates knowledge appropriation (César, 2009). This is…

Key studies in history education (from France and the USA) are discussed and compared in order to explore their methodological issues in terms of the types of knowledge they can generate about teaching and learning. An epistemological framework that relates the history of historians as an inquiry to that of the classroom provides the criteria for…

The case for integrating the problem-solving approach to learning with traditional explanatory and demonstrative approaches, but not replacing them, when teaching biology is presented. (ND)

Research undertaken in Russia examines how elementary students in experimental and conventional classes assimilate the concept of a problem. The criterion of assimilation is defined as the pupil's application of theoretical knowledge of the problem to the solution of the problem. (Author/RM)

Reasons are provided that show the goal-directed study of subject material through the problem-solving approach which results in sounder learning. (Author/ND)

Problem-based learning is argued to be the most effective means of developing students' general mental abilities, integrating academic and operational approaches to higher education, and instilling a high level of student motivation and capacity for active learning. Conditions for successful problem-based learning are discussed. (Author/MSE)