Affect and Mathematics EducationAffect and Mathematics Education

My concluding comments included: • The mathematics education research community continues to explore how students' and teachers' beliefs affect mathematics learning and instruction. • The use of the word belief/believe as a convenient ...

Author: Markku S. Hannula

Publisher: Springer

ISBN: 9783030137618


Page: 437

View: 301

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.

New Mathematics Education Research and PracticeNew Mathematics Education Research and Practice

INTRODUCTION Exploring the interaction between affect and mathematics learning raises a number of important challenges. What should be regarded as the boundaries of this topic? The long standing and continuing interest in the affective ...

Author: Jürgen Maass

Publisher: Sense Publishers

ISBN: 9789077874745


Page: 315

View: 105

Mathematics education research has blossomed into many different areas, which we can see in the programmes of the ICME conferences, as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with the complexity of the same process of learning mathematics. Although our knowledge of the process is through fragmentation of research more extensive and deeper there is a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview on what is going on and what are the main results and questions what are important books or papers if further information is needed.

From beliefs to dynamic affect systems in mathematics educationFrom beliefs to dynamic affect systems in mathematics education

Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63(2), 131–147. Demetriou, A., & Kazi, S. (2001). Unity and modularity in the mind and the self.

Author: Birgit Pepin

Publisher: Springer

ISBN: 9783319068084


Page: 407

View: 754

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?

Theorizing and Measuring Affect in Mathematics Teaching and LearningTheorizing and Measuring Affect in Mathematics Teaching and Learning

Affective bodying of mathematics, children and difference: Choreographing 'sad affects' as affirmative politics in early mathematics teacher education. ZDM Mathematics Education, 51, 319–330. Clough, P. & Haley, J. (Eds). (2007).

Author: Chiara Andrà

Publisher: Springer Nature

ISBN: 9783030505264


Page: 262

View: 255

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.

Affect and Mathematical Problem SolvingAffect and Mathematical Problem Solving

The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving.

Author: Douglas B. McLeod

Publisher: Springer Science & Business Media

ISBN: 9781461236146


Page: 268

View: 523

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.

Affect in Mathematical ModelingAffect in Mathematical Modeling

In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement.

Author: Scott A. Chamberlin

Publisher: Springer

ISBN: 9783030044329


Page: 332

View: 169

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.

Mathematics Affect and LearningMathematics Affect and Learning

This book examines the beliefs, attitudes, values and emotions of students in Years 5 to 8 (aged 10 to 14 years) about mathematics and mathematics education.

Author: Peter Grootenboer

Publisher: Springer

ISBN: 9789812876799


Page: 135

View: 736

This book examines the beliefs, attitudes, values and emotions of students in Years 5 to 8 (aged 10 to 14 years) about mathematics and mathematics education. Fundamentally, this book focuses on the development of affective views and responses towards mathematics and mathematics learning. Furthermore, it seems that students develop their more negative views of mathematics during the middle school years (Years 5 to 8), and so here we concentrate on students in this critical period. The book is based on a number of empirical studies, including an enquiry undertaken with 45 children in Years 5 and 6 in one school; a large-scale quantitative study undertaken with students from a range of schools across diverse communities in New Zealand; and two related small-scale studies with junior secondary students in Australia. This book brings substantial, empirically-based evidence to the widely held perception that many students have negative views of mathematics, and these affective responses develop during the middle years of school. The data for this book were collected with school students, and students who were actually engaged in learning mathematics in their crucial middle school years. The findings reported and discussed here are relevant for researchers and mathematics educators, policy makers and curriculum developers, and teachers and school principals engaged in the teaching of mathematics.

Beliefs and Attitudes in Mathematics EducationBeliefs and Attitudes in Mathematics Education

Mathematics classrooms, gender and affect. Mathematics Education Research Journal, 8(2), 153–173. Goldin, G. A. (2000). Affective pathways and representations in mathematical problem solving. Mathematical Thinking and Learning, 17(2), ...

Author: Jürgen Maasz

Publisher: BRILL

ISBN: 9789087907235



View: 513

Tina Besley has edited this collection which examines and critiques the ways that different countries, particularly Commonwealth and European states, assess the quality of educational research in publicly funded higher education institutions. Such assessment often ranks universities, departments and even individual academics, and plays an important role in determining the allocation of funding to support university research.

Foundations for the Future in Mathematics EducationFoundations for the Future in Mathematics Education

Helsinki, Finland: University of Helsinki Department of Teacher Education. DeBellis, V. A., & Goldin, G. A. (1999). Aspects of affect: Mathematical intimacy, mathematical integrity. In O. Zaslavsky (Ed.), Proceedings of the 23rd Annual ...

Author: Richard A. Lesh

Publisher: Routledge

ISBN: 9781000149500


Page: 488

View: 313

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.