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Author : Richard A. Lesh
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.F/5 ( download)
Download or read book Acquisition of Mathematics Concepts and Processes written by Richard A. Lesh and published by . This book was released on 1983 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David C. Geary
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 362 pages
Book Rating : 4.1/5 (281 download)
Download or read book Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts written by David C. Geary and published by Academic Press. This book was released on 2017-08-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Lyn D. English
Publisher : Routledge
ISBN 13 : 1136481621
Total Pages : 365 pages
Book Rating : 4.1/5 (364 download)
Download or read book Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Bobby Allen
Publisher :
ISBN 13 : 9781387971633
Total Pages : 176 pages
Book Rating : 4.9/5 (716 download)
Download or read book Mathematics Quick-Looks Grade 5 written by Bobby Allen and published by . This book was released on 2018-04-09 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Quick-Looks focus on key concepts when teaching math. They help simplify students' conceptual understanding by directing students' attention to key concepts and procedures. By highlighting the key concepts in each lesson, teachers can promote students' achievement and prepare them for more difficult concepts. Math key concepts are primary skills that can be continually used to teach a variety of math concepts and processes. They provide recognizable starting points for students when learning new math concepts and processes. Math key concepts are explicitly described and modeled by the teacher. Vocabulary that is vital to the students' conceptual understanding is mastered concurrently with the related concepts and processes. The fundamental foundation of the Quick-Looks includes math concepts and processes that can be used within and across domains. Quick-Looks allow students to focus their attention on these key math concepts and processes. The skills and vocabulary are methodically taught, using unambiguous coaching methods. Conceptual understanding, procedural mastery, and vocabulary acquisition are applied seamlessly to new content. The math concepts that represent foundational understandings that can be applied across domains have been selected and planned into quick lessons. The lessons take about ten to fifteen minutes to explicitly deliver while allowing students the opportunity to critique their mathematical thinking and the thinking of others. Teachers will have eight opportunities to explicitly teach the target math skill within the context of the math concepts, affording students ample practice opportunities for mastering the concepts and processes. Teachers will communicate the skills using the selected vocabulary and require that students use the key vocabulary when expressing their thoughts. This instructional strategy positively impact students of all performance levels by focusing teaching and learning on clearly defined concepts. The strategy facilitates recall by reducing the amount of essential information and providing a universal language for communicating mathematical concepts. The use of this instructional strategy helps students to see the patterns of math in the predetermined skills as well as in more complex concepts and processes thus advocating deeper conceptual mathematical understanding.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309147433
Total Pages : 399 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Author : Edd Bobby Allen
Publisher :
ISBN 13 : 9781387936670
Total Pages : 0 pages
Book Rating : 4.9/5 (366 download)
Download or read book Mathematics Quick-Looks Grade 4 written by Edd Bobby Allen and published by . This book was released on 2018-01-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Quick-Looks focus on key concepts when teaching math. They help simplify students' conceptual understanding by directing students' attention to key concepts and procedures. By highlighting the key concepts in each lesson, teachers can promote students' achievement and prepare them for more difficult concepts. Math key concepts are primary skills that can be continually used to teach a variety of math concepts and processes. They provide recognizable starting points for students when learning new math concepts and processes. Math key concepts are explicitly described and modeled by the teacher. Vocabulary that is vital to the students' conceptual understanding is mastered concurrently with the related concepts and processes. The fundamental foundation of the Quick-Looks includes math concepts and processes that can be used within and across domains. Quick-Looks allow students to focus their attention on these key math concepts and processes. The skills and vocabulary are methodically taught, using unambiguous coaching methods. Conceptual understanding, procedural mastery, and vocabulary acquisition are applied seamlessly to new content. The math concepts that represent foundational understandings that can be applied across domains have been selected and planned into quick lessons. The lessons take about ten to fifteen minutes to explicitly deliver while allowing students the opportunity to critique their mathematical thinking and the thinking of others. Teachers will have eight opportunities to explicitly teach the target math skill within the context of the math concepts, affording students ample practice opportunities for mastering the concepts and processes. Teachers will communicate the skills using the selected vocabulary and require that students use the key vocabulary when expressing their thoughts. This instructional strategy positively impacts students of all performance levels by focusing teaching and learning on clearly defined concepts. The strategy facilitates recall by reducing the amount of essential information and providing a universal language for communicating mathematical concepts. The use of this instructional strategy helps students to see the patterns of math in the predetermined skills as well as in more complex concepts and processes thus advocating deeper conceptual mathematical understanding.
Author : James Hiebert
Publisher : Routledge
ISBN 13 : 1136559833
Total Pages : 357 pages
Book Rating : 4.1/5 (365 download)
Download or read book Conceptual and Procedural Knowledge written by James Hiebert and published by Routledge. This book was released on 2013-08-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.
Author : Mario Graziano
Publisher : Springer
ISBN 13 : 3319967975
Total Pages : 147 pages
Book Rating : 4.3/5 (199 download)
Download or read book Dual-Process Theories of Numerical Cognition written by Mario Graziano and published by Springer. This book was released on 2018-08-12 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge.
Author : A. Treffers
Publisher : Springer Science & Business Media
ISBN 13 : 9400937075
Total Pages : 360 pages
Book Rating : 4.4/5 (9 download)
Download or read book Three Dimensions written by A. Treffers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Dutch "WISKOBAS" stands for a particular kind of mathematics in the elementary school (ages 6-12). In tum Wiskobas was one of the depart ments in the IOWO, the Institute for the Development of Mathematics Education. This institute was concerned with the development of material for mathematics education as well as the related research on the possibility of change from the then existing arithmetic instruction to the future mathematics education. The present publication Three Dimensions has three aims: to give a picture of the goals Wiskobas set for future mathematics education, at the same time to show how such goals can be described, and to show the theoretical framework of the Wiskobas curriculum. The problem at hand is not at all simple. What is more, Wiskobas' ideas about mathematics education cannot literally be translated into strings of words. So how can we face the accusation that our objectives are unattain able and the goal itself irrational? In order to avoid this vagueness as much as possible and for the sake of clarity, this book makes continuous use of illustrations of mathematics education. In these examples both the subject-matter and the methods of description of the goals are illustrated as explicitly as possible, while at the same time creating the opportunity to read between the lines. The reader is urged to follow carefully the mathe matical material at the start of each chapter. This advice applies both to the more general education oriented, and to the more mathematical! didactical reader.
Author : Edward A. Silver
Publisher : Routledge
ISBN 13 : 1136561234
Total Pages : 671 pages
Book Rating : 4.1/5 (365 download)
Download or read book Teaching and Learning Mathematical Problem Solving written by Edward A. Silver and published by Routledge. This book was released on 2013-04-03 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.
Author : Thomas P. Carpenter
Publisher : National Council of Teachers of English
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)
Download or read book Classics in Mathematics Education Research written by Thomas P. Carpenter and published by National Council of Teachers of English. This book was released on 2004 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Udvalgte artikler fra bøger og tidsskrifter fra perioden 1947-1996
Author : Edd Bobby Allen
Publisher :
ISBN 13 : 9781387935963
Total Pages : 0 pages
Book Rating : 4.9/5 (359 download)
Download or read book Mathematics Quick-Looks Grade 3 written by Edd Bobby Allen and published by . This book was released on 2017-11-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Quick-Looks focus on key concepts when teaching math. They help simplify students' conceptual understanding by directing students' attention to key concepts and procedures. By highlighting the key concepts in each lesson, teachers can promote students' achievement and prepare them for more difficult concepts. Math key concepts are primary skills that can be continually used to teach a variety of math concepts and processes. They provide recognizable starting points for students when learning new math concepts and processes. Math key concepts are explicitly described and modeled by the teacher. Vocabulary that is vital to the students' conceptual understanding is mastered concurrently with the related concepts and processes. The fundamental foundation of the Quick-Looks includes math concepts and processes that can be used within and across domains. Quick-Looks allow students to focus their attention on these key math concepts and processes. The skills and vocabulary are methodically taught, using unambiguous coaching methods. Conceptual understanding, procedural mastery, and vocabulary acquisition are applied seamlessly to new content. The math concepts that represent foundational understandings that can be applied across domains have been selected and planned into quick lessons. The lessons take about ten to fifteen minutes to explicitly deliver while allowing students the opportunity to critique their mathematical thinking and the thinking of others. Teachers will have eight opportunities to explicitly teach the target math skill within the context of the math concepts, affording students ample practice opportunities for mastering the concepts and processes. Teachers will communicate the skills using the selected vocabulary and require that students use the key vocabulary when expressing their thoughts. This instructional strategy positively impacts students of all performance levels by focusing teaching and learning on clearly defined concepts. The strategy facilitates recall by reducing the amount of essential information and providing a universal language for communicating mathematical concepts. The use of this instructional strategy helps students to see the patterns of math in the predetermined skills as well as in more complex concepts and processes thus advocating deeper conceptual mathematical understanding.
Author : Raymond Duval
Publisher : Springer
ISBN 13 : 3319569104
Total Pages : 133 pages
Book Rating : 4.3/5 (195 download)
Download or read book Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations written by Raymond Duval and published by Springer. This book was released on 2017-07-18 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: • How to situate the registers of representation regarding the other semiotic “theories” • Why use a semio-cognitive analysis of the mathematical activity to teach mathematics • How to distinguish the different types of registers • How to organize learning tasks and activities which take into account the registers of representation • How to make an analysis of the students’ production in terms of registers Building upon the contributions he first presented in his classic book Sémiosis et pensée humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry. “Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval’s cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes.” Professor Tânia M. M. Campos, PHD.
Author : David Klahr
Publisher : Psychology Press
ISBN 13 : 1134739419
Total Pages : 484 pages
Book Rating : 4.1/5 (347 download)
Download or read book Complex Information Processing written by David Klahr and published by Psychology Press. This book was released on 2013-05-13 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, several leading experts in the area of cognitive science summarize their current research programs, tracing Herbert A. Simon's influence on their own work -- and on the field of information processing at large. Topics covered include problem- solving, imagery, reading, writing, memory, expertise, instruction, and learning. Collectively, the chapters reveal a high degree of coherence across the various specialized disciplines within cognition -- a coherence largely attributable to the initial unity in Simon's seminal and pioneering contributions.
Author :
Publisher : BRILL
ISBN 13 : 9087905467
Total Pages : 364 pages
Book Rating : 4.0/5 (879 download)
Download or read book The Handbook of Mathematics Teacher Education: Volume 2 written by and published by BRILL. This book was released on 2008-01-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 2, Tools and Processes in Mathematics Teacher Education, focuses on the “how” of mathematics teacher education.
Author : Douglas Grouws
Publisher : IAP
ISBN 13 : 1607528746
Total Pages : 784 pages
Book Rating : 4.6/5 (75 download)
Download or read book Handbook of Research on Mathematics Teaching and Learning written by Douglas Grouws and published by IAP. This book was released on 2006-11-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
