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Understanding Emotions In Mathematical Thinking And Learning

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Understanding Emotions in Mathematical Thinking and Learning

Understanding Emotions in Mathematical Thinking and Learning Book
Author : Ulises Xolocotzin
Publisher : Academic Press
Release : 2017-05-12
ISBN : 0128024895
Language : En, Es, Fr & De

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Book Description :

Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place

Adults Mathematical Thinking and Emotions

Adults  Mathematical Thinking and Emotions Book
Author : Jeff Evans
Publisher : Routledge
Release : 2002-01-04
ISBN : 1135701911
Language : En, Es, Fr & De

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Book Description :

The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.

Mathematical Modelling Education and Sense making

Mathematical Modelling Education and Sense making Book
Author : Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Publisher : Springer Nature
Release : 2020-05-14
ISBN : 3030376737
Language : En, Es, Fr & De

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Book Description :

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 people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Affect in Mathematical Modeling

Affect in Mathematical Modeling Book
Author : Scott A. Chamberlin,Bharath Sriraman
Publisher : Springer
Release : 2019-06-03
ISBN : 3030044327
Language : En, Es, Fr & De

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Book Description :

In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.

Teaching and Learning Mathematics Online

Teaching and Learning Mathematics Online Book
Author : James P. Howard, II,John F. Beyers
Publisher : CRC Press
Release : 2020-05-10
ISBN : 1351245570
Language : En, Es, Fr & De

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Book Description :

Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

International Handbook of Mathematical Learning Difficulties

International Handbook of Mathematical Learning Difficulties Book
Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
Publisher : Springer
Release : 2019-01-30
ISBN : 3319971484
Language : En, Es, Fr & De

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Book Description :

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Broadening the Scope of Research on Mathematical Problem Solving

Broadening the Scope of Research on Mathematical Problem Solving Book
Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Release : 2018-11-30
ISBN : 3319998617
Language : En, Es, Fr & De

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Book Description :

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

Teaching and Learning Mathematics through Variation

Teaching and Learning Mathematics through Variation Book
Author : Rongjin Huang,Yeping Li
Publisher : Springer
Release : 2017-02-06
ISBN : 9463007822
Language : En, Es, Fr & De

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Book Description :

"Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia “Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"

The Philosophy of Mathematics Education Today

The Philosophy of Mathematics Education Today Book
Author : Paul Ernest
Publisher : Springer
Release : 2018-06-09
ISBN : 3319777602
Language : En, Es, Fr & De

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Book Description :

This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Measurement Error in Longitudinal Data

Measurement Error in Longitudinal Data Book
Author : Alexandru Cernat,Joseph W. Sakshaug
Publisher : Oxford University Press
Release : 2021-03-18
ISBN : 0192603981
Language : En, Es, Fr & De

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Book Description :

Longitudinal data is essential for understanding how the world around us changes. Most theories in the social sciences and elsewhere have a focus on change, be it of individuals, of countries, of organizations, or of systems, and this is reflected in the myriad of longitudinal data that are being collected using large panel surveys. This type of data collection has been made easier in the age of Big Data and with the rise of social media. Yet our measurements of the world are often imperfect, and longitudinal data is vulnerable to measurement errors which can lead to flawed and misleading conclusions. Measurement Error in Longitudinal Data tackles the important issue of how to investigate change in the context of imperfect data. It compiles the latest advances in estimating change in the presence of measurement error from several fields and covers the entire process, from the best ways of collecting longitudinal data, to statistical models to estimate change under uncertainty, to examples of researchers applying these methods in the real world. This book introduces the essential issues of longitudinal data collection, such as memory effects, panel conditioning (or mere measurement effects), the use of administrative data, and the collection of multi-mode longitudinal data. It also presents some of the most important models used in this area, including quasi-simplex models, latent growth models, latent Markov chains, and equivalence/DIF testing. Finally, the use of vignettes in the context of longitudinal data and estimation methods for multilevel models of change in the presence of measurement error are also discussed.

Mathematics Anxiety

Mathematics Anxiety Book
Author : Irene C. Mammarella,Sara Caviola,Ann Dowker
Publisher : Routledge
Release : 2019-02-18
ISBN : 0429576129
Language : En, Es, Fr & De

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Book Description :

Feelings of apprehension and fear brought on by mathematical performance can affect correct mathematical application and can influence the achievement and future paths of individuals affected by it. In recent years, mathematics anxiety has become a subject of increasing interest both in educational and clinical settings. This ground-breaking collection presents theoretical, educational and psychophysiological perspectives on the widespread phenomenon of mathematics anxiety. Featuring contributions from leading international researchers, Mathematics Anxiety challenges preconceptions and clarifies several crucial areas of research, such as the distinction between mathematics anxiety from other forms of anxiety (i.e., general or test anxiety); the ways in which mathematics anxiety has been assessed (e.g. throughout self-report questionnaires or psychophysiological measures); the need to clarify the direction of the relationship between math anxiety and mathematics achievement (which causes which). Offering a revaluation of the negative connotations usually associated with mathematics anxiety and prompting avenues for future research, this book will be invaluable to academics and students in the field psychological and educational sciences, as well as teachers working with students who are struggling with mathematics anxiety

Innovation and Research

Innovation and Research Book
Author : Miguel Botto-Tobar,Marcelo Zambrano Vizuete,Angela Díaz Cadena
Publisher : Springer Nature
Release : 2020-12-23
ISBN : 3030604675
Language : En, Es, Fr & De

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Book Description :

This book presents the proceedings of the 1st International Congress on Innovation and Research – A Driving Force for Socio-Econo-Technological Development (CI3 2020). CI3 was held on June 18–19, 2020. It was organized by the Instituto Tecnológico Superior Rumiñahui and GDEON, in co-organization with Higher Institutes: Libertad, Bolivariano, Vida Nueva, Espíritu Santo, Sudamericano Loja, Central Técnico and sponsored by the Universidad Nacional Mayor de San Marcos (Perú), the Federal University of Goiás (Brazil) and HOSTOS—Community University of New York (USA). CI3 aims to promote the development of research activities in Higher Education Institutions and the relationship between the productive and scientific sector of Ecuador, supporting the fulfilment of the National Development Plan “Toda una vida 2017-2021”.

Narrowing the Achievement Gap

Narrowing the Achievement Gap Book
Author : Janet Goodall
Publisher : Routledge
Release : 2017-04-21
ISBN : 1317373235
Language : En, Es, Fr & De

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Book Description :

Narrowing the Achievement Gap proposes a radical change to our conception of learning, education and schooling, arguing that parental engagement is the best lever we have for school improvement and closing the achievement gap. Unique in its focus on original research linking underachievement and parental engagement, this book uses a range of international case studies to demonstrate that achievement isn’t only reliant on what happens in school and that what happens out of school is equally important. Each chapter explores how schools can actively engage with parents and communities to reinstate education in the home, and to generate support to combat issues out of their control, including poverty, deprivation, and a lack of social capital. Although schools have an integral part to play in this process, it argues that parents and society must reconsider their own educational responsibility, regardless of background, and offers a solid research base and practical suggestions to help do so. Consisting of an in-depth and contemporary study of this significant issue in educational achievement and written by an expert in the field, this text will appeal to researchers, academics and postgraduate students in the fields of education, schooling, sociology of education, school effectiveness and improvement, school policy and school leadership.

Humanizing Mathematics and its Philosophy

Humanizing Mathematics and its Philosophy Book
Author : Bharath Sriraman
Publisher : Birkhäuser
Release : 2017-11-07
ISBN : 331961231X
Language : En, Es, Fr & De

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Book Description :

This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.

Teaching and Learning Algebraic Thinking with 5 to 12 Year Olds

Teaching and Learning Algebraic Thinking with 5  to 12 Year Olds Book
Author : Carolyn Kieran
Publisher : Springer
Release : 2017-12-04
ISBN : 3319683519
Language : En, Es, Fr & De

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Book Description :

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 well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Foundations for the Future in Mathematics Education

Foundations for the Future in Mathematics Education Book
Author : Richard A. Lesh,Eric Hamilton,James J. Kaput
Publisher : Routledge
Release : 2020-10-08
ISBN : 1000149501
Language : En, Es, Fr & De

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Book Description :

The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.

Learning and Teaching Early Math

Learning and Teaching Early Math Book
Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Release : 2014-05-23
ISBN : 1134080719
Language : En, Es, Fr & De

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Book Description :

In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.

International Handbook of Emotions in Education

International Handbook of Emotions in Education Book
Author : Reinhard Pekrun,Lisa Linnenbrink-Garcia
Publisher : Routledge
Release : 2014-04-16
ISBN : 1136512632
Language : En, Es, Fr & De

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Book Description :

For more than a decade, there has been growing interest and research on the pivotal role of emotions in educational settings. This ground-breaking handbook is the first to highlight this emerging field of research and to describe in detail the ways in which emotions affect learning and instruction in the classroom as well as students’ and teachers’ development and well-being. Informed by research from a number of related fields, the handbook includes four sections. Section I focuses on fundamental principles of emotion, including the interplay among emotion, cognition, and motivation, the regulation of emotion, and emotional intelligence. Section II examines emotions and emotion regulation in classroom settings, addressing specific emotions (enjoyment, interest, curiosity, pride, anxiety, confusion, shame, and boredom) as well as social-emotional learning programs. Section III highlights research on emotions in academic content domains (mathematics, science, and reading/writing), contextual factors (classroom, family, and culture), and teacher emotions. The final section examines the various methodological approaches to studying emotions in educational settings. With work from leading international experts across disciplines, this book synthesizes the latest research on emotions in education.

From beliefs to dynamic affect systems in mathematics education

From beliefs to dynamic affect systems in mathematics education Book
Author : Birgit Pepin,Bettina Roesken-Winter
Publisher : Springer
Release : 2014-10-21
ISBN : 3319068083
Language : En, Es, Fr & De

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Book Description :

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?