This work reports the findings of the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students´ Mathematical Literacy project (COACTIV). COACTIV applies a broad, innovative conceptualization of teacher competence to examine how mathematics teachers’ knowledge, beliefs, motivational orientations, and self-regulation skills influence their instructional practice and teaching outcomes In this project data was collected on various aspects of teacher ...

Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instr...

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 dialogue form—inspired in part by Lakatos’s evocative Proofs and Refutations—featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of...

What is the role of the mathematics specialist?What is deep subject knowledge in mathematics?What sort of pedagogical knowledge does a mathematics specialist need?How can you best support your colleagues to improve mathematics teaching and learning?Becoming a Primary Mathematics Specialist Teacher helps you explore the role of the specialist in promoting positive attitudes towards mathematics and developing the teaching and learning of mathematics i...

This book is about how teachers can use classroom mathematics tasks to support student learning, and presents data on the ways in which teachers used those tasks in a particular research project. It is the product of research findings focusing on teacher practice, teacher learning and knowledge, and student learning. It demonstrates how teachers can use mathematics tasks to promote effective student learning.

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-d...

The book presents a selection of the most relevant talks given at the 21st MAVI conference, held at the Politecnico di Milano. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. Of major interest to MAVI participants is the relationship between teachers’ professed bel...

Increasingly, teachers all over the world are grappling on a daily basis with the fact of multilingual classrooms. In this book, Jill Adler captures three inter-related dilemmas that lie at the heart of teaching mathematics in multilingual classrooms. Adler's identification and naming of the dilemma of code-switching, the dilemma of mediation, and the dilemma of transparency, arise from exploring the realities of actual classrooms, and are shaped by a perspective...

Interrogating Whiteness and Relinquishing Power: White Faculty’s Commitment to Racial Consciousness in STEM Classrooms is a collection of narratives that will transform the teaching of any faculty member who teaches in the STEM system. The book links issues of inclusion to teacher excellence at all grade levels by illuminating the critical influence that racial consciousness has on the behaviors of White faculty in the classroom. It functions as an analytical tool, scaffolding exe...

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as we...

In a changing world that demands new skills, a vital concern of public education is the gap in academic performance between low- and high-achieving students. There is no excuse for the achievement gaps that persist among poor and minority students in schools today. All students can succeed at high levels, regardless of race, ethnicity and economic background. Several countries have successfully confronted inequities in achievement, demonstrating that any school can close achievement gaps r...

This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.