Evolutionary Origins and Early Development of Number Processing

Author: David C. Geary
Publisher: Academic Press
ISBN: 0128008881
Format: PDF, Kindle
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The first volume in this ground-breaking series focuses on the origins and early development of numerical cognition in non-human primates, lower vertebrates, human infants, and preschool children. The text will help readers understand the nature and complexity of these foundational quantitative concepts and skills along with evolutionary precursors and early developmental trajectories. Brings together and focuses the efforts and research of multiple disciplines working in math cognition. The contributors bring vast knowledge and experience to bear on resolving extant substantive and methodological challenges to help advance the field of basic number processing. Introductory sections and summaries will be included to provide background for non-specialist readers.

Language and Culture in Mathematical Cognition

Author: Daniel B. Berch
Publisher: Academic Press
ISBN: 0128125756
Format: PDF, Docs
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Language and Culture in Mathematical Cognition, Fourth 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

Handbook of Mathematical Cognition

Author: Jamie I. D. Campbell
Publisher: Psychology Press
ISBN: 1841694118
Format: PDF, Kindle
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Forlagsomtale: This collection of 27 chapters by leading researchers provides a state-of-the-art reference for mathematical cognition research

Handbook of Learning Disabilities

Author: H. Lee Swanson
Publisher: Guilford Press
ISBN: 1462508499
Format: PDF, Kindle
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"This comprehensive handbook reviews the major theoretical, methodological, and instructional advances that have occurred in the field of learning disabilities. With contributions from leading researchers, the volume synthesizes a vast body of knowledge on the nature of learning disabilities, their relationship to basic psychological and brain processes, and how students with these difficulties can best be identified and treated. Findings are reviewed on ways to support student performance in specific skill areas/m-/including language arts, math, science, and social studies/m-/as well as general principles of effective instruction that cut across academic domains. Authoritative and up to date, the book also examines the concepts and methods that guide learning disability research and identifies promising directions for future investigation"--

Handbook of Learning Disabilities Second Edition

Author: H. Lee Swanson
Publisher: Guilford Press
ISBN: 146251099X
Format: PDF
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Widely regarded as the standard reference in the field, this comprehensive handbook presents state-of-the-art knowledge about the nature and classification of learning disabilities (LD), their causes, and how individuals with these difficulties can be identified and helped to succeed. Best practices are described for supporting student performance in language arts, math, and other content areas. Contributors also identify general principles of effective instruction and review issues in service delivery within response-to-intervention (RTI) frameworks. The book critically examines the concepts and methods that guide LD research and highlights important directions for future investigation. New to This Edition: *Incorporates key advances in identifying and remediating LD, with particular attention to the role of RTI. *Chapters on social cognitive, behavioral genetic, and neurobiological aspects. *Chapters on adolescents and adults with LD. *Chapters on spelling instruction, history instruction, and classroom technology applications. *Chapter synthesizing 21st-century advances in LD research methods, plus chapters on advanced statistical models, single-case designs, and meta-analysis.

How Students Learn

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309074339
Format: PDF, Mobi
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How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students’ knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children’s education.

Der Zahlensinn oder Warum wir rechnen k nnen

Author: Stanislas Dehaene
Publisher: Springer-Verlag
ISBN: 3034878257
Format: PDF, ePub, Mobi
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Wir sind umgeben von Zahlen. Ob auf Kreditkarten gestanzt oder auf Münzen geprägt, ob auf Schecks gedruckt oder in den Spalten computerisierter Tabellen aufgelistet, überall beherrschen Zahlen unser Leben. Sie sind auch der Kern unserer Technologie. Ohne Zahlen könnten wir weder Raketen starten, die das Sonnensystem erkunden, noch Brücken bauen, Güter austauschen oder Rech nungen bezahlen. In gewissem Sinn sind Zahlen also kulturelle Erfindungen, die sich ihrer Bedeutung nach nur mit der Landwirtschaft oder mit dem Rad vergleichen lassen. Aber sie könnten sogar noch tiefere Wurzeln haben. Tausende von Jahren vor Christus benutzten babylonische Wissenschaftler Zahlzeichen, um erstaun lich genaueastronomische Tabellen zu berechnen. Zehntausende von Jahren zuvor hatten Menschen der Steinzeit die ersten geschriebenen Zahlenreihen geschaffen, indem sie Knochen einkerbten oder Punkte auf Höhlenwände malten. Und, wie ich später überzeugend darzustellen hoffe, schon vor weiteren Millionen von Jahren, lange bevor es Menschen gab, nahmen Tiere aller Arten Zahlen zur Kenntnis und stellten mit ihnen einfache Kopfrechnungen an. Sind Zahlen also fast so alt wie das Leben selbst? Sind sie in der Struktur unseres Gehirns verankert? Besitzen wir einen Zahlensinn, eine spezielle Intuition, die uns hilft, Zahlen und Mathematik mit Sinn zu erfüllen? Ich wurde vor fünfzehn Jahren, während meiner Ausbildung zum Mathema tiker, fasziniert von den abstrakten Objekten, mit denen ich umzugehen lernte, vor allem von den einfachsten von ihnen- den Zahlen.

Eine kurze Geschichte der Menschheit

Author: Yuval Noah Harari
Publisher: DVA
ISBN: 364110498X
Format: PDF, Kindle
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Krone der Schöpfung? Vor 100 000 Jahren war der Homo sapiens noch ein unbedeutendes Tier, das unauffällig in einem abgelegenen Winkel des afrikanischen Kontinents lebte. Unsere Vorfahren teilten sich den Planeten mit mindestens fünf weiteren menschlichen Spezies, und die Rolle, die sie im Ökosystem spielten, war nicht größer als die von Gorillas, Libellen oder Quallen. Vor 70 000 Jahren dann vollzog sich ein mysteriöser und rascher Wandel mit dem Homo sapiens, und es war vor allem die Beschaffenheit seines Gehirns, die ihn zum Herren des Planeten und zum Schrecken des Ökosystems werden ließ. Bis heute hat sich diese Vorherrschaft stetig zugespitzt: Der Mensch hat die Fähigkeit zu schöpferischem und zu zerstörerischem Handeln wie kein anderes Lebewesen. Anschaulich, unterhaltsam und stellenweise hochkomisch zeichnet Yuval Harari die Geschichte des Menschen nach und zeigt alle großen, aber auch alle ambivalenten Momente unserer Menschwerdung.

The Origin of Concepts

Author: Susan Carey
Publisher: Oxford University Press
ISBN: 0199887918
Format: PDF, ePub, Mobi
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Only human beings have a rich conceptual repertoire with concepts like tort, entropy, Abelian group, mannerism, icon and deconstruction. How have humans constructed these concepts? And once they have been constructed by adults, how do children acquire them? While primarily focusing on the second question, in The Origin of Concepts , Susan Carey shows that the answers to both overlap substantially. Carey begins by characterizing the innate starting point for conceptual development, namely systems of core cognition. Representations of core cognition are the output of dedicated input analyzers, as with perceptual representations, but these core representations differ from perceptual representations in having more abstract contents and richer functional roles. Carey argues that the key to understanding cognitive development lies in recognizing conceptual discontinuities in which new representational systems emerge that have more expressive power than core cognition and are also incommensurate with core cognition and other earlier representational systems. Finally, Carey fleshes out Quinian bootstrapping, a learning mechanism that has been repeatedly sketched in the literature on the history and philosophy of science. She demonstrates that Quinian bootstrapping is a major mechanism in the construction of new representational resources over the course of childrens cognitive development. Carey shows how developmental cognitive science resolves aspects of long-standing philosophical debates about the existence, nature, content, and format of innate knowledge. She also shows that understanding the processes of conceptual development in children illuminates the historical process by which concepts are constructed, and transforms the way we think about philosophical problems about the nature of concepts and the relations between language and thought.

Individual Development from 3 to 12

Author: Franz E. Weinert
Publisher: Cambridge University Press
ISBN: 9780521580427
Format: PDF, ePub, Mobi
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A long-term, comprehensive longitudinal study analyzing developmental changes in the cognitive, social, and personality domain.