In this case study, we investigate how an inquiry-oriented interactive calculus textbook supported one U.S. college instructor's classroom teaching. We utilized analytical inquiry-oriented frameworks on observation data from a small classroom to capture textbooks' influence on the instruction conceptualized by the Teacher-Mathematics-Student face…

In current teaching materials, when using Dedekind cuts to construct real numbers, the definition of a Dedekind cut is always involved in defining addition and multiplication. In this paper, as it is done in many current textbooks, Dedekind cuts are used to construct the set of real numbers. Then the order in it is defined, and the…

This paper explores the specialized knowledge mobilized by a mathematics teacher in the selection and use of examples for teaching sequences. Taking an experimental case study approach, we analyse the examples deployed in a series of third-year secondary level lessons on sequences and identify the different knowledge subdomains activated according…

This paper discusses the relevance of using physical situations to introduce the concept of angles at elementary school. We compare the effectiveness of two geometry teaching sequences. In the first one (physical sequence), the pupils learned the angle concept by experimenting on the playground (i.e. mesospace) and then modelling the situation. In…

Pre-service early childhood teachers' beliefs about mathematics are significant because those beliefs will affect many factors involved in their future teaching. This research explored pre-service teachers' unforgettable mathematics experiences and how these experiences were related to their beliefs about preparing an unforgettable mathematics…

The aim of this research was to examine the effect of Augmented Reality (AR) supported geometry teaching on students' 3D thinking skills. This research consisted of 3 steps: (1) developing a 3D thinking ability scale, (ii) design and development of an AR Geometry Tutorial System (ARGTS) and (iii) implementation and assessment of geometry teaching…

Describes a process for creating a more diverse set of experiences for undergraduate students in mathematics by focusing on linear algebra. Emphasizes that the diversity of the activities is generated in part through the use of a taxonomy that addresses the nature of the activities rather than a hierarchy of levels of difficulty. Contains 13…

Two methods of teaching mathematics to engineering students were investigated. The first used tutorials, written materials, and lectures, while the second used computer exercises instead of tutorials. Both were effective with students entering the program with low mathematics achievement. (SD)

Described is a method of teaching mathematics to mixed ability classes. The presentation of topics, the organization within the classroom and the difficulties met by teachers are discussed. The problems of homework and assessment are also considered. The teacher's role is compared with that in a streamed situation. (JP)

Some contemporary school individualized learning systems in mathematics are discussed and analyzed with advantages and disadvantages listed to assist in designing curriculum materials. (MP)

The paper describes the use of a spreadsheet in a mathematics teacher education course. It shows how the tool can serve as a link between seemingly disconnected mathematical concepts. The didactical triad of using a spreadsheet as an agent, consumer, and amplifier of mathematical activities allows for an extended investigation of simple yet…