This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the “decisive variable” of the mathematics classroom. In particular, the book contributes and investigates new conceptual frameworks and new methodological ‘tools’ in affect research and introduces the new field of ‘collectives’ to explore affect systems in diverse settings. Investigated by internationally renowned scholars, the book is build up in three dimensions. The first part of the book provides an overview of selected theoretical frames - theoretical lenses - to study the mosaic of relationships and interactions in the field of affect. In the second part the theory is enriched by empirical research studies and provides relevant findings in terms of developing deeper understandings of individuals’ and collectives’ affective systems in mathematics education. Here pupil and teacher beliefs and affect systems are examined more closely. The final part investigates the methodological tools used and needed in affect research. How can the different methodological designs contribute data which help us to develop better understandings of teachers’ and pupils’ affect systems for teaching and learning mathematics and in which ways are knowledge and affect related?

The book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice. 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. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.

This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

The use of Likert scale instruments for measuring teachers’ beliefs is criticized because of amplifying social desirability, reducing the willingness to make differentiations, and often providing less or no contexts. Those weaknesses may distort teachers’ responses to a Likert scale instrument, causing inconsistencies between their responses and their actions. Therefore, the author offers an alternative approach by employing rank-then-rate items and considering students’ abilities as one of the factors affecting teachers’ beliefs. The results confirm that the offered approach may give a better prediction about teachers’ beliefs than does a Likert scale instrument.

This book examines agentic approaches by which teacher educators navigate a highly regulated environment. It investigates how teacher educators are responding to such regulation by employing approaches such as exploratory and case study research designs. This book analyzes qualitative and quantitative data to understand the diverse, innovative and critical perspectives of teacher educators who are guided by state and federal level initiatives to enhance the quality Initial Teacher Education (ITE) programs. Prominent educational theoretical perspectives are also used in this book to inform data analysis and to illuminate the empirically based findings. This book showcases research-informed insights for the global education community from leading researchers from across a number of teacher education institutions, locally and otherwise. By adopting an ‘activist’ approach, this book positions teacher educators’ research and contribution to the field as agentive and pro-active.

This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

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 beliefs and classroom practice, aspects that provide the focus of the second section. Three papers deal with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. In turn, the book’s third section centers on the undercurrents of teaching and learning mathematics, which can surface in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research, with a particular focus on attitudes towards assessment. The book offers a valuable resource for all teachers and researchers working in this area.

This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.

Teacher education has long relied on locally-developed assessments that lack reliability and validity. Rigorous performance-based assessments for preservice teachers have been advanced as one possible way to ensure that all students receive instruction from a high-quality teacher. Recently, performance-based assessments have been developed which focus on the application of knowledge of teaching and learning in a classroom setting. Our book explores factors related to the implementation of teacher performance assessments in varying state and institutional contexts. The contributors, teacher educators from across the country, focus on what was learned from inquiries conducted using diverse methodologies (quantitative, qualitative, self-studies, and mixed methods). Their research encompassed faculty, supervisors, cooperating teachers, and students’ perceptions and concerns of teacher performance assessments, case studies of curricular reform and/or resistance, analyses of experiences and needs as a result of the adoption of such assessments, and examinations of the results of program alignment and reform. The chapters showcase experiences which occurred during high-stakes situations, in implementation periods prior to high-stakes adoption, and in contexts where programs adopted performance assessments as an institutional policy rather than as a result of a state-wide mandate. Endorsements The chapters compiled for Implementing and Analyzing Performance Assessments in Teacher Education edited by Joyce E. Many and Ruchi Bhatnagar, present a thoughtful look at the challenges and solutions embedded in the adoption of teacher performance assessments for preservice teachers. Most chapters feature edTPA, the most commonly used performance assessment now mandated in numerous states and used voluntarily by other programs across the country, and reveal how such assessments shine a bright light on the problems of practice in teacher preparation (stressful timelines, faculty silos, communication with P-12 partners, etc.) when new requirements disrupt the status quo. Each chapter tells a valuable story of performance assessment implementation and approaches that offset compliance in favor of inquiry and educative experiences for candidates and programs alike. Andrea Whittaker, Ph.D edTPA National Director Stanford University Graduate School of Education UL-SCALE Many and Bhatnagar launch the AAPE book series with a curated volume highlighting the contexts in which teacher educators implement and utilize performance assessments in educator preparation. Together, the chapters present research from various viewpoints—from candidates, faculty, university supervisors, and clinical partners—using diverse methodologies and approaches. The volume contributes significantly to the program assessment research landscape by providing examples of how performance assessments inform preparation at the intersection of praxis and research, and campus and field. These chapters provide a critical foundation for teacher educators eager to leverage performance assessments to improve their programs. Diana B. Lys, EdD. Assistant Dean of Educator Preparation and Accreditation School of Education University of North Carolina at Chapel Hill