Understanding Emotions in Mathematical Thinking and Learning Book

Understanding Emotions in Mathematical Thinking and Learning


  • Author : Ulises Xolocotzin
  • Publisher : Academic Press
  • Release Date : 2017-05-12
  • Genre: Psychology
  • Pages : 474
  • ISBN 10 : 9780128024898

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Understanding Emotions in Mathematical Thinking and Learning Excerpt :

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

Understanding Emotions in Mathematical Thinking and Learning Book

Understanding Emotions in Mathematical Thinking and Learning


  • Author : Ulises Xolocotzin
  • Publisher : Academic Press
  • Release Date : 2017-05-15
  • Genre: Emotions
  • Pages : 474
  • ISBN 10 : 0128022183

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Understanding Emotions in Mathematical Thinking and Learning Excerpt :

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 Book

Adults Mathematical Thinking and Emotions


  • Author : Jeff Evans
  • Publisher : Routledge
  • Release Date : 2002-01-04
  • Genre: Education
  • Pages : 320
  • ISBN 10 : 9781135701918

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Adults Mathematical Thinking and Emotions Excerpt :

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.

Adults  Mathematical Thinking and Emotions Book

Adults Mathematical Thinking and Emotions


  • Author : Jeff Evans
  • Publisher : Psychology Press
  • Release Date : 2000
  • Genre: Education
  • Pages : 324
  • ISBN 10 : 075070912X

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Adults Mathematical Thinking and Emotions Excerpt :

The crisis around teaching and learning mathematics and its use in everyday life and work relate to a number of issues. This book addresses these issues by looking at a number of key problems in maths education and numeracy.

Mathematical Modelling Education and Sense making Book

Mathematical Modelling Education and Sense making


  • Author : Gloria Ann Stillman
  • Publisher : Springer Nature
  • Release Date : 2020-05-14
  • Genre: Education
  • Pages : 521
  • ISBN 10 : 9783030376734

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Mathematical Modelling Education and Sense making Excerpt :

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.

Teaching and Learning Mathematics Online Book

Teaching and Learning Mathematics Online


  • Author : James P. Howard, II
  • Publisher : CRC Press
  • Release Date : 2020-05-10
  • Genre: Mathematics
  • Pages : 420
  • ISBN 10 : 9781351245579

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Teaching and Learning Mathematics Online Excerpt :

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 Book

International Handbook of Mathematical Learning Difficulties


  • Author : Annemarie Fritz
  • Publisher : Springer
  • Release Date : 2019-01-30
  • Genre: Education
  • Pages : 843
  • ISBN 10 : 9783319971483

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International Handbook of Mathematical Learning Difficulties Excerpt :

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.

Affect in Mathematical Modeling Book

Affect in Mathematical Modeling


  • Author : Scott A. Chamberlin
  • Publisher : Springer
  • Release Date : 2019-06-03
  • Genre: Education
  • Pages : 332
  • ISBN 10 : 9783030044329

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Affect in Mathematical Modeling Excerpt :

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 through Variation Book

Teaching and Learning Mathematics through Variation


  • Author : Rongjin Huang
  • Publisher : Springer
  • Release Date : 2017-02-06
  • Genre: Education
  • Pages : 460
  • ISBN 10 : 9789463007825

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Teaching and Learning Mathematics through Variation Excerpt :

"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 b

From beliefs to dynamic affect systems in mathematics education Book

From beliefs to dynamic affect systems in mathematics education


  • Author : Birgit Pepin
  • Publisher : Springer
  • Release Date : 2014-10-21
  • Genre: Education
  • Pages : 407
  • ISBN 10 : 9783319068084

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From beliefs to dynamic affect systems in mathematics education Excerpt :

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?

Teaching and Learning Secondary School Mathematics Book

Teaching and Learning Secondary School Mathematics


  • Author : Ann Kajander
  • Publisher : Springer
  • Release Date : 2018-10-24
  • Genre: Education
  • Pages : 695
  • ISBN 10 : 9783319923901

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Teaching and Learning Secondary School Mathematics Excerpt :

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.

Mathematics Anxiety Book

Mathematics Anxiety


  • Author : Irene C. Mammarella
  • Publisher : Routledge
  • Release Date : 2019-02-18
  • Genre: Psychology
  • Pages : 238
  • ISBN 10 : 9780429576126

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Mathematics Anxiety Excerpt :

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

Broadening the Scope of Research on Mathematical Problem Solving Book

Broadening the Scope of Research on Mathematical Problem Solving


  • Author : Nélia Amado
  • Publisher : Springer
  • Release Date : 2018-11-30
  • Genre: Education
  • Pages : 579
  • ISBN 10 : 9783319998619

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Broadening the Scope of Research on Mathematical Problem Solving Excerpt :

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.

Measurement Error in Longitudinal Data Book

Measurement Error in Longitudinal Data


  • Author : Alexandru Cernat
  • Publisher : Oxford University Press
  • Release Date : 2021-03-18
  • Genre: Science
  • Pages : 304
  • ISBN 10 : 9780192603982

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Measurement Error in Longitudinal Data Excerpt :

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.

The Philosophy of Mathematics Education Today Book

The Philosophy of Mathematics Education Today


  • Author : Paul Ernest
  • Publisher : Springer
  • Release Date : 2018-06-09
  • Genre: Education
  • Pages : 377
  • ISBN 10 : 9783319777603

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The Philosophy of Mathematics Education Today Excerpt :

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.