cognitive foundations for improving mathematical learning

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Cognitive Foundations for Improving Mathematical Learning
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release Date : 2019-01-30
ISBN 10 : 0128159529
Pages : 378 pages

Cognitive Foundations for Improving Mathematical Learning, Volume 5, the latest release 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. Chapters cover the use of numerical play and games for improving foundational number knowledge, 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. In addition, the book examines 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 more. 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

Development of Mathematical Cognition
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release Date : 2015-10-03
ISBN 10 : 0128019093
Pages : 414 pages

Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition Addresses recent work in quantitative and molecular genetics Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning Informs policy to help increase the level of mathematical proficiency among the general public

Mathematics Learning in Early Childhood
Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Release Date : 2009-12-13
ISBN 10 : 0309128064
Pages : 398 pages

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Cognitive Science and Mathematics Education
Author : Alan H. Schoenfeld
Publisher : Routledge
Release Date : 2013-04-03
ISBN 10 : 1136461841
Pages : 310 pages

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.

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts
Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Release Date : 2017-02-08
ISBN 10 : 0128133686
Pages : 360 pages

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

Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers
Author : Mareike Kunter,Jürgen Baumert,Werner Blum,Ute Klusmann,Stefan Krauss,Michael Neubrand
Publisher : Springer Science & Business Media
Release Date : 2013-03-29
ISBN 10 : 1461451493
Pages : 378 pages

This work reports the findings of the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students ́ Mathematical Literacy project (COACTIV). COACTIV applies a broad, innovative conceptualization of teacher competence to examine how mathematics teachers’ knowledge, beliefs, motivational orientations, and self-regulation skills influence their instructional practice and teaching outcomes In this project data was collected on various aspects of teacher competence and classroom instruction from the perspective of both the teachers themselves and their students. Moreover, it gauges the effects of these teacher characteristics on student learning, as indexed by the progress students in each class. Questions addressed in the study which are reported in this volume include: What are the characteristics of successful teaching? What distinguishes teachers who succeed in their profession? How can the quality of instruction be improved?

Learning and Teaching Early Math
Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Release Date : 2020-12-30
ISBN 10 : 1000288544
Pages : 468 pages

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third 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 confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to for ongoing updates, interactive games, and practical tools that support classroom learning.

Mind in Art
Author : Charles M. Dorn
Publisher : Taylor & Francis
Release Date : 1999
ISBN 10 : 0805830782
Pages : 275 pages

This book is for the reader who believes that thinking about and making art is intelligent behavior and that art as a subject in the K-12 school curriculum should not be used as an alibi for other curricular objectives. It examines and makes explicit those cognitive behaviors normally associated with most higher order thinking and problem solving activity and explains how they function in the act of creative forming. Its goal is ultimately to find ways to use these behaviors in the construction of an intelligent art curriculum for K-12 American schools. This is perhaps the only text in the field designed to assist teachers in meeting the challenges of teaching in the Goals 2000 curriculum and evaluation reform effort, acquainting them with both the National Art Standards and with the assessment processes needed in order for them to become accountable. Mind in Art grapples with current and relevant theory, research, and unsolved problems. It is cohesive as it attempts to bring together information that is only partially known, even among those who are college professors. And it takes a critical look at the ideas and points of view that have created divisiveness and shabby thinking in the field. In this book Charles Dorn significantly advances thinking in the field of art education.

The Mathematical Brain Across the Lifespan
Author : N.A
Publisher : Elsevier
Release Date : 2016-06-20
ISBN 10 : 0444637028
Pages : 416 pages

The Mathematical Brain Across the Lifespan is the latest volume in the Progress in Brain Research series that focuses on new trends and developments. This established international series examines major areas of basic and clinical research within the neurosciences, as well as popular and emerging subfields. Provides a comprehensive review of the most recent progress in the mathematical brain across the lifespan Explores new trends and developments in the field Enhances the literature of neuroscience by further expanding the established, ongoing international series Progress in Brain Research

Handbook of Mathematical Cognition
Author : Jamie I. D. Campbell
Publisher : Psychology Press
Release Date : 2005
ISBN 10 : 1841694118
Pages : 508 pages

Forlagsomtale: This collection of 27 chapters by leading researchers provides a state-of-the-art reference for mathematical cognition research

Narrative Impact
Author : Melanie C. Green,Jeffrey J. Strange,Timothy C. Brock
Publisher : Taylor & Francis
Release Date : 2003-01-30
ISBN 10 : 1135673284
Pages : 396 pages

The impact of public narratives has been so broad (including effects on beliefs and behavior but extending beyond to emotion and personality), that the stakeholders in the process have been located across disciplines, institutions, governments, and, indeed, across epochs. Narrative Impact draws upon scholars in diverse branches of psychology and media research to explore the subjective experience of public narratives, the affordances of the narrative environment, and the roles played by narratives in both personal and collective spheres. The book brings together current theory and research presented primarily from an empirical psychological and communications perspective, as well as contributions from literary theory, sociology, and censorship studies. To be commensurate with the broad scope of influence of public narratives, the book includes the narrative mobilization of major social movements, the formation of self-concepts in young people, banning of texts in schools, the constraining impact of narratives on jurors in the court room, and the wide use of education entertainment to affect social changes. Taken together, the interdisciplinary nature of the book and its stellar list of contributors set it apart from many edited volumes. Narrative Impact will draw readership from various fields, including sociology, literary studies, and curriculum policy. Providing new explanatory concepts, this book: *is the first account on the psychology of narrative persuasion and brings together the relevant conceptualizations from within various sectors of psychology together with the major issues that concern cognate disciplines outside of psychology; *focuses on understanding the mechanisms that underlie the power of public narratives to achieve broad historical and social changes; *offers breakthroughs to the future: the role of "presence" in virtual reality narratives; the role of "zines" in females' fashioning of their selves; and the central role of imagery in transportation into narrative worlds; *explains varying roles of emotion in narrative immersion; and *addresses the growing blurring of fact and fiction: mechanisms and implications for beliefs and behavior.

Why is Math So Hard for Some Children?
Author : Daniel B. Berch,Michèle M. M. Mazzocco
Publisher : Brookes Pub
Release Date : 2007
ISBN 10 :
Pages : 457 pages

This landmark resource gives educational decision–makers and researchers theoretical and practical insight into mathematical learning difficulties and disabilities, combining diverse perspectives from fields such as special education, developmental