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Cognitive Foundations For Improving Mathematical Learning

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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 : 2019-01-30
ISBN : 0128159529
Language : En, Es, Fr & De

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Book Description :

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

Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood Book
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 : 2009-12-13
ISBN : 0309128064
Language : En, Es, Fr & De

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Book Description :

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.

Learning and Teaching Early Math

Learning and Teaching Early Math Book
Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Release : 2020-12-30
ISBN : 1000288544
Language : En, Es, Fr & De

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Book Description :

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 LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

Development of Mathematical Cognition

Development of Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2015-10-03
ISBN : 0128019093
Language : En, Es, Fr & De

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Book Description :

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

Resources in Education

Resources in Education Book
Author : Anonim
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Educating Deaf Learners

Educating Deaf Learners Book
Author : Harry Knoors,Marc Marschark
Publisher : Oxford University Press
Release : 2015-06-10
ISBN : 0190215208
Language : En, Es, Fr & De

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Book Description :

Education in general, and education for deaf learners in particular, has gone through significant changes over the past three decades. And change certainly will be the buzzword in the foreseeable future. The rapid growth of information and communication technology as well as progress in educational, psychological, and allied research fields have many scholars questioning aspects of traditional school concepts. For example, should the classroom be "flipped" so that students receive instruction online at home and do "homework" in school? At the same time, inclusive education has changed the traditional landscape of special education and thus of deaf education in many if not all countries, and yet deaf children continued to lag significantly behind hearing peers in academic achievement. As a consequence of technological innovations (e.g., digital hearing aids and early bilateral cochlear implants), the needs of many deaf learners have changed considerably. Parents and professionals, however, are just now coming to recognize that there are cognitive, experiential, and social-emotional differences between deaf and hearing students likely to affect academic outcomes. Understanding such differences and determining ways in which to accommodate them through global cooperation must become a top priority in educating deaf learners. Through the participation of an international, interdisciplinary set of scholars, Educating Deaf Learners takes a broader view of learning and academic achievement than any previous work, considering the whole child. In adopting this broad perspective, the authors capture the complexities and commonalities in the social, emotional, cognitive, and linguistic mosaic of which the deaf child is a part. It is only through such a holistic consideration that we can understand their academic potential.

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

Teaching Mathematics in Elementary and Middle School

Teaching Mathematics in Elementary and Middle School Book
Author : Joseph G. R. Martinez,Nancy Conrad Martinez
Publisher : Prentice Hall
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

With an emphasis on inquiry and process, "Teaching Mathematics in Elementary and Middle School "embraces active mathematics instruction and the development of mathematical thinking through problem solving. The text challenges future teachers to prepare their K-8 students for a world that requires a higher level of mathematical literacy and enables them to compete in a global society.Teachers will develop their own mathematical abilities, allowing them to help students discover a rich combination of thinking processes and problem-solving strategies, raising the learning expectations for all. Unique text features "TIE-Thought, Investigation and Exploration "features ask pre-service teachers to develop their own thinking and learning abilities, preparing them to better challenge their students. "Mathematics in the Real World," "Idea Files," and "Teacher Profiles "model best practices and supply readers with concrete teaching tools and strategies. "Mathematical Thinking," "Mathematical Games" and "Mathematics and Technology" features detail activities to engage and develop students' mathematical thinking. Accompanying student artifacts illustrate the progression of students' conceptual understanding. [CD logo replaces bullet] "Math Activities CD-ROM" provides an outstanding text component containing more than 100 activities that use a three-step process-explore, invent, discover-to foster the development of mathematical thinking through guided inquiry. Aligned with the NCTM standards, each activity is integrated within the text and designed to help develop students' conceptual understanding of mathematics. "Mathematics in Literature" offers thoroughly developed ideas for using children's literature to create meaningful contexts for mathematics learning. An extensive bibliography that can be used for this purpose appears on the CD-Rom. "I think the text is an excellent resource for elementary and middle school methods courses. In particular, I like how the textbook handles the 'bigger issues' such as geometric reasoning rather than just 'geometry.' I also like the excellent foundation in educational research that the textbook provides, as well as some very careful attention and consistent referencing to the NCTM standards and principles. The incorporation of classroom vignettes, teacher illustrations, and samples of student work also all add to the excellent grounding of the text in real world classroom work." Dr. Neal Grandgenett, University of Nebraska at Omaha

Why is Math So Hard for Some Children

Why is Math So Hard for Some Children  Book
Author : Daniel B. Berch,Michèle M. M. Mazzocco
Publisher : Brookes Pub
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Second Handbook of Research on Mathematics Teaching and Learning

Second Handbook of Research on Mathematics Teaching and Learning Book
Author : Frank K. Lester
Publisher : Information Age Pub Incorporated
Release : 2007
ISBN : 9781593115883
Language : En, Es, Fr & De

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Book Description :

An update to the original 1992 publication, this two-volume set unites current research to provide new conceptualizations of research problems, and to suggest possible research programs to move the field forward. In studying the existing research, the authors found that the community has maintained its focus on problems of learning, teaching, teacher education, assessment, technology, and social and cultural aspects of mathematics education, while some new areas of interest have emerged or been expanded. This set allows educators to step back and look at each of these areas to see where mathematics education research has been and where it should be going to enable the field to answer the questions about education that practitioners, policy makers, and politicians are asking.

Improving Access to Mathematics

Improving Access to Mathematics Book
Author : Na'ilah Suad Nasir,Paul Cobb
Publisher : Teachers College Press
Release : 2006-12-21
ISBN : 9780807747285
Language : En, Es, Fr & De

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Book Description :

Key experts with extensive research and classroom experience examine how the multiple dimensions of race, class, culture, power, and knowledge interact in mathematics classrooms to foster and create inequities. Chapters explore new theoretical perspectives, describe successful classroom practices, and offer insights into how we might develop an effective sociocultural approach to equity in math education. Seeing diversity as an instructional resource rather than as an obstacle to be overcome, this forward-looking volume: Helps us to understand the process by which diverse learners experience mathematics education. Examines the way students’ identities can influence their mathematics learning. Describes mathematics education programs that have demonstrated their success with poor, urban, and rural students of color. Explains why certain teaching and learning interventions are successful. Offers culturally based approaches to mathematics education, including activities for the classroom.

Bibliographic Guide to Education

Bibliographic Guide to Education Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

... lists publications cataloged by Teachers College, Columbia University, supplemented by ... The Research Libraries of The New York Publica Library.

Cognitive and Emotional Processes in Web based Education

Cognitive and Emotional Processes in Web based Education Book
Author : Nikos Tsianos
Publisher : IGI Global
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

"This book presents theories and practical frameworks to assist educators and trainers in developing e-learning applications"--Provided by publisher.

Better Teachers Better Schools

Better Teachers  Better Schools Book
Author : Anonim
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Better Teachers Better Schools book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Ford Foundation Annual Report

Ford Foundation Annual Report Book
Author : Ford Foundation
Publisher : Unknown
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The president's report to the trustees and statement of grants.

Concept rich Mathematics Instruction

Concept rich Mathematics Instruction Book
Author : Meir Ben-Hur
Publisher : ASCD
Release : 2006
ISBN : 141660359X
Language : En, Es, Fr & De

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Book Description :

Have you ever wondered why students too often have only a rudimentary understanding of mathematics, why even rich and exciting hands-on learning does not always result in "real" learning of new concepts? The answer lies in whether students have actually learned mathematical concepts, rather than merely memorizing facts and formulas. Concept-Rich Mathematics Instruction is based on the constructivist view that concepts are not simply facts to be memorized and later recalled, but rather knowledge that learners develop through an active process of adapting to new experiences. The teacher's role is critical in this process. When teachers prompt students to reflect on their experiences and report and answer questions verbally, students must re-examine and even revise their concepts of reality. Meir Ben-Hur offers expert guidance on all aspects of Concept-Rich Mathematics Instruction, including * Identifying the core concepts of the mathematics curriculum. * Planning instructional sequences that build upon concepts that students already understand. * Designing learning experiences that provoke thoughtful discussions about new concepts and prepare students to apply these concepts on their own. * Identifying student errors, particularly those caused by preconceptions, as important sources of information and as key instructional tools. * Conducting classroom dialogues that are rich in alternative representations. * Using a variety of formative assessment methods to reveal the state of students' learning. * Incorporating problem-solving activities that provoke cognitive dissonance and enhance students' cognitive competence. Concept-Rich Mathematics Instruction is grounded in the belief that all students can learn to think mathematically and solve challenging problems. If you're looking for a powerful way to improve students' performance in mathematics and move closer to fulfilling the NCTM standards, look no further: this approach provides the building blocks for constructing a first-class mathematics program.

East Asian Economic Perspectives

East Asian Economic Perspectives Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download East Asian Economic Perspectives book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Constructivist Views on the Teaching and Learning of Mathematics

Constructivist Views on the Teaching and Learning of Mathematics Book
Author : Robert Benjamin Davis,Carolyn Alexander Maher,Nel Noddings
Publisher : National Council of Teachers of
Release : 1990
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Constructivist views on the teaching and learning of mathematics (Journal for research in mathematics education).

Report Alfred P Sloan Foundation

Report   Alfred P  Sloan Foundation Book
Author : Alfred P. Sloan Foundation
Publisher : Unknown
Release : 1984
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Report Alfred P Sloan Foundation book written by Alfred P. Sloan Foundation, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.