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Cognitive Science And Mathematics Education


Cognitive Science And Mathematics Education
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Cognitive Science And Mathematics Education


Cognitive Science And Mathematics Education
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2013-04-03

Cognitive Science And Mathematics Education written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.


This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.



Cognitive Science And Mathematics Education


Cognitive Science And Mathematics Education
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Author : Alan H. Schoenfeld
language : en
Publisher: Psychology Press
Release Date : 1987

Cognitive Science And Mathematics Education written by Alan H. Schoenfeld and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Education categories.


First Published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.



Learning Mathematics


Learning Mathematics
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Author : Robert Benjamin Davis
language : en
Publisher:
Release Date : 1984

Learning Mathematics written by Robert Benjamin Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.


This book, based upon a seven-year study at the University of Illinois aims to evaluate the merits of teaching methods from classical techniques of memorisation to creative methodologies that build upon context and focus on understanding.



Learning Mathematics


Learning Mathematics
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Author : Robert B. Davis
language : en
Publisher:
Release Date : 1989

Learning Mathematics written by Robert B. Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Cognition in children categories.




Mathematics Education In The Information Age


Mathematics Education In The Information Age
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Author : Stacy A. Costa
language : en
Publisher: Springer Nature
Release Date : 2020-12-10

Mathematics Education In The Information Age written by Stacy A. Costa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Mathematics categories.


This book brings together ideas from experts in cognitive science, mathematics, and mathematics education to discuss these issues and to present research on how mathematics and its learning and teaching are evolving in the Information Age. Given the ever-broadening trends in Artificial Intelligence and the processing of information generally, the aim is to assess their implications for how math is evolving and how math should now be taught to a generation that has been reared in the Information Age. It will also look at the ever-spreading assumption that human intelligence may not be unique—an idea that dovetails with current philosophies of mind such as posthumanism and transhumanism. The role of technology in human evolution has become critical in the contemporary world. Therefore, a subgoal of this book is to illuminate how humans now use their sophisticated technologies to chart cognitive and social progress. Given the interdisciplinary nature of the chapters, this will be of interest to all kinds of readers, from mathematicians themselves working increasingly with computer scientists, to cognitive scientists who carry out research on mathematics cognition and teachers of mathematics in a classroom.



Foundations For The Future In Mathematics Education


Foundations For The Future In Mathematics Education
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Author : Richard A. Lesh
language : en
Publisher: Routledge
Release Date : 2020-10-07

Foundations For The Future In Mathematics Education written by Richard A. Lesh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Education categories.


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.



Mathematics Education


Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2012-12-06

Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.


To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.



Cognitive Sciences And Education In Non Weird Populations


Cognitive Sciences And Education In Non Weird Populations
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Author : Marcus Vinicius Alves
language : en
Publisher: Springer Nature
Release Date : 2022-08-27

Cognitive Sciences And Education In Non Weird Populations written by Marcus Vinicius Alves and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-27 with Psychology categories.


This book aims to present theoretical and practical innovations in the cognitive sciences and education fields focusing on studies and research conducted with non-WEIRD (i.e., western, educated, industrialized, rich and democratic) populations, especially from Latin America. Cognitive sciences and neuroscience have increased exponentially their knowledge in the last three decades, and today there is a corpus of knowledge about our central nervous system and its functioning that (adequately understood) has promising contributions for the educational field. Most of this knowledge, however, comes from central countries (North America, Europe) and is based on studies conducted on what has been called WEIRD populations. Much less is known about how the integration of cognitive sciences and neuroscience could impact education in non-WEIRD populations, which represent the great majority of the world’s population and have quite diverse cultural and social characteristics. So, the main aim of this book is to present a non-WEIRD scientific approach to problems in the cognitive sciences, neuroscience and education fields. Research presented in this contributed volume takes advantage of the diverse populations that characterize developing countries to explore how underrepresented populations learn, what works and what does not for cognitive science and education not only for the developing world, but also for understanding diversity in the whole world. Departing from this focus on diversity, chapters in this book present studies on theories, beliefs and misconceptions about the relationship between cognitive sciences and education; child and adolescent cognitive development; mathematics and language academic performance; and cognitive interventions to improve educational practice. Cognitive Sciences and Education in Non-WEIRD Populations: A Latin American Perspective will be a useful resource for both cognitive scientists and educational researchers interested in developing a more culturally sensitive approach to basic and applied research on cognitive sciences of education.



Handbook Of Research On Mathematics Teaching And Learning


Handbook Of Research On Mathematics Teaching And Learning
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Author : Douglas Grouws
language : en
Publisher: IAP
Release Date : 2006-11-01

Handbook Of Research On Mathematics Teaching And Learning written by Douglas Grouws and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-01 with Mathematics categories.


Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.



Integrating Touch Enabled And Mobile Devices Into Contemporary Mathematics Education


Integrating Touch Enabled And Mobile Devices Into Contemporary Mathematics Education
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Author : Meletiou-Mavrotheris, Maria
language : en
Publisher: IGI Global
Release Date : 2015-07-13

Integrating Touch Enabled And Mobile Devices Into Contemporary Mathematics Education written by Meletiou-Mavrotheris, Maria and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-13 with Education categories.


Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education presents the best practices in mathematics education research and teaching practice by providing an account of current and future trends and issues in mobile mathematics learning and associated technologies and educational methodologies. This edited volume approaches a broad audience including researchers and practitioners interested in the exploitation of mobile technologies in mathematics teaching and learning, as well as mathematics teachers at all levels. This premier reference source compiles the best practices and recommended processes for effectively utilizing the vast capabilities of mobile technologies in the mathematics classroom through a collection of chapters covering topics including, but not limited to, touch-enabled virtual mapping, perceptual learning technologies, mobile teaching, statistics apps for mobile devices, smartphones for the visually impaired, pedagogical and instructional design, and touch screen interfaces in algebraic instruction.