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Acquisition Of Complex Arithmetic Skills And Higher Order Mathematics Concepts

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Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts Book
Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2017-02-08
ISBN : 0128133686
Language : En, Es, Fr & De

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Book Description :

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

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.

Foundations of Geometric Cognition

Foundations of Geometric Cognition Book
Author : Mateusz Hohol
Publisher : Routledge
Release : 2019-09-12
ISBN : 0429509219
Language : En, Es, Fr & De

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Book Description :

The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.

Mathematical Learning and Understanding in Education

Mathematical Learning and Understanding in Education Book
Author : Kristie Newton,Sarah Sword
Publisher : Routledge
Release : 2018-05-16
ISBN : 1134983522
Language : En, Es, Fr & De

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Book Description :

Mathematics holds an essential, ubiquitous presence in the education sector, as do ongoing explorations of its effective teaching and learning. Written by leading experts on mathematics and mathematics education, this book situates issues of student thinking and learning about mathematics within the broader context of educational psychology research and theory and brings them to a wider audience. With chapters on knowing and understanding mathematics, mathematical habits, early mathematical thinking, and learning mathematics, this concise volume is designed for any educational psychology, mathematics education, or general education course that includes student learning in the curriculum. It will be indispensable for student researchers and both pre- and in-service teachers alike.

Constructing Number

Constructing Number Book
Author : Anderson Norton,Martha W. Alibali
Publisher : Springer
Release : 2018-12-17
ISBN : 3030004910
Language : En, Es, Fr & De

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Book Description :

The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Promoting Language and STEAM as Human Rights in Education

Promoting Language and STEAM as Human Rights in Education Book
Author : Zehlia Babaci-Wilhite
Publisher : Springer
Release : 2018-12-13
ISBN : 9811328803
Language : En, Es, Fr & De

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Book Description :

This book argues that integrating artistic contributions – with an emphasis on culture and language – can make Science, Technology, Engineering and Mathematics (STEM) subjects more accessible, and therefore promote creativity and innovation in teaching and learning at all levels of education. It provides tools and strategies for managing interdisciplinary learning and teaching based on successful collaborations between researchers, practitioners and artists in the fields of the Arts and STEM subjects. Based on contributions by educators, scientists, scholars, linguists and artists from around the globe, the book highlights how we can demonstrate teamwork and collaboration for innovation and creativity in STEAM subjects in the classroom and beyond. The book reflects the core of human rights education, using local languages and local knowledge through art as a tool for teaching human rights at school, and bringing to light questions on diversity, ecology, climate change, environmental issues, health and the future of human beings, as well as power relations between non-dominant (minorities) and dominant (the majority) groups in society.

Impact of Smart Technologies and Artificial Intelligence AI Paving Path Towards Interdisciplinary Research in the Fields of Engineering Arts Humanities Commerce Economics Social Sciences Law and Management Challenges and Opportunities

Impact of Smart Technologies and Artificial Intelligence  AI  Paving Path Towards Interdisciplinary Research in the Fields of Engineering  Arts  Humanities  Commerce  Economics  Social Sciences  Law and Management   Challenges and Opportunities Book
Author : Dr. Sundari Suresh,Dr. S. Radha Rammohan,Dr. K. Bharath
Publisher : Shanlax Publications
Release : 2021-07-27
ISBN : 9391373127
Language : En, Es, Fr & De

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Book Description :

This e-ISBN collection of 34 chapters draws on the diverse insights of the opportunities and emerging challenges, changes in the smart technologies and artificial intelligence{AI} paving path towards interdisciplinary research in the fields of Engineering, Arts, Humanities, Commerce, Economics, Social Sciences, Law and Management. It offers decision-makers a comprehensive picture of the impact of Smart technologies and Artificial Intelligence (AI) expected in the long-term changes, and inspiration to leverage the opportunities that offer to improve the state of education. Academicians must find and establish a new equilibrium and a new normal for learning amid the present challenges.

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.

Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2019-01-03
ISBN : 0128159537
Language : En, Es, Fr & De

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Book Description :

The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties

Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2018-07-27
ISBN : 0128125756
Language : En, Es, Fr & De

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Book Description :

Language and Culture in Mathematical Cognition, First Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition Book
Author : Marcel Danesi
Publisher : Springer Nature
Release : 2019-09-14
ISBN : 3030225372
Language : En, Es, Fr & De

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Book Description :

This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

Neuro cognitive Architecture of Numerical Cognition and Its Development

Neuro cognitive Architecture of Numerical Cognition and Its Development Book
Author : Elise Klein,Korbinian Moeller,Reuven Babai,Anja Ischebeck
Publisher : Frontiers Media SA
Release : 2021-06-29
ISBN : 2889669203
Language : En, Es, Fr & De

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Book Description :

Download Neuro cognitive Architecture of Numerical Cognition and Its Development book written by Elise Klein,Korbinian Moeller,Reuven Babai,Anja Ischebeck, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

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.

Children s Thinking

Children s Thinking Book
Author : David F. Bjorklund,Kayla B. Causey
Publisher : SAGE Publications
Release : 2017-01-04
ISBN : 1506334342
Language : En, Es, Fr & De

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Book Description :

The Sixth Edition of David F. Bjorklund and Kayla B. Causey’s topically organized Children’s Thinking presents a current, comprehensive, and dynamic examination of cognitive development. The book covers individual children and their developmental journeys while also following the general paths of overall cognitive development in children. This unique and effective approach gives readers a holistic view of children’s cognitive development, acknowledging that while no two children are exactly alike, they tend to follow similar developmental patterns. Supported by the latest research studies and data, the Sixth Edition provides valuable insights for readers to better understand and work with children.

Learning Online

Learning Online Book
Author : Barbara Means,Marianne Bakia,Robert Murphy
Publisher : Routledge
Release : 2014-04-03
ISBN : 1136216588
Language : En, Es, Fr & De

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Book Description :

At a time when more and more of what people learn both in formal courses and in everyday life is mediated by technology, Learning Online provides a much-needed guide to different forms and applications of online learning. This book describes how online learning is being used in both K-12 and higher education settings as well as in learning outside of school. Particular online learning technologies, such as MOOCs (massive open online courses), multi-player games, learning analytics, and adaptive online practice environments, are described in terms of design principles, implementation, and contexts of use. Learning Online synthesizes research findings on the effectiveness of different types of online learning, but a major message of the book is that student outcomes arise from the joint influence of implementation, context, and learner characteristics interacting with technology--not from technology alone. The book describes available research about how best to implement different forms of online learning for specific kinds of students, subject areas, and contexts. Building on available evidence regarding practices that make online and blended learning more effective in different contexts, Learning Online draws implications for institutional and state policies that would promote judicious uses of online learning and effective implementation models. This in-depth research work concludes with a call for an online learning implementation research agenda, combining education institutions and research partners in a collaborative effort to generate and share evidence on effective practices.

Journal for Research in Mathematics Education

Journal for Research in Mathematics Education Book
Author : Anonim
Publisher : Unknown
Release : 1985
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Journal for Research in Mathematics Education book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Posing and Solving Mathematical Problems

Posing and Solving Mathematical Problems Book
Author : Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick
Publisher : Springer
Release : 2016-04-29
ISBN : 3319280236
Language : En, Es, Fr & De

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Book Description :

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

The Middling Sorts

The Middling Sorts Book
Author : Burton S. Bledstein
Publisher : Psychology Press
Release : 2001
ISBN : 9780415926416
Language : En, Es, Fr & De

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Book Description :

According to their national myth, all Americans are "middle class," but rarely has such a widely-used term been so poorly defined. These fascinating essays provide much-needed context to the subject of class in America.

Handbook of the Sociology of Education

Handbook of the Sociology of Education Book
Author : Maureen T. Hallinan
Publisher : Springer Science & Business Media
Release : 2006-11-24
ISBN : 0387364242
Language : En, Es, Fr & De

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Book Description :

This wide-ranging handbook provides a comprehensive overview of the field of education as viewed from a sociological perspective. Experts in the area present theoretical and empirical research on major educational issues and analyze the social processes that govern schooling, and the role of schools in and their impact on contemporary society. A major reference work for social scientists who want an overview of the field, graduate students, and educators.

Mathematics Education

Mathematics Education Book
Author : Lyn D. English,Graeme S. Halford
Publisher : Routledge
Release : 2012-12-06
ISBN : 1136481621
Language : En, Es, Fr & De

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Book Description :

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.