This chapter provides a brief overview of the state of the art in research and curricula on
mathematical modelling and applications of mathematics in education. Following a brief …

Designing a mathematically worthwhile task is critical for promoting students' reasoning. To
improve task design skills, teachers often engage in collaborative lesson planning activities …

This study explores relationships among prospective secondary teachers' skills of attending
to relevant mathematics elements in students' answers, interpreting students' mathematical …

To teach mathematics effectively, teachers should learn to notice students' mathematical
thinking, adapting their instruction to support their students' conceptual learning …

The incorporation of animation in mathematics teacher education courses is one method for
transforming practices and promoting practice-based education. Animation can be used as …

This open access book is based on selected presentations from Topic Study Group 21:
Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at …

The use of powerful and innovative pedagogical practices by teachers potentially provides
opportunities for all students to learn mathematics successfully. In this chapter we offer a …

This paper reports on the reflective practice of a group of nine secondary mathematics pre-
service teachers. The pre-service teachers participated in a year-long, school-based …

Teacher responses to student mathematical thinking (SMT) matter because the way in which
teachers respond affects student learning. Although studies have provided important …

This paper reports on the impact of a professional learning programme on participating
teachers' perceptions of mathematical reasoning. A total of 26 teachers participated in this …