Acquisition Of Mathematics Concepts And Processes
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Acquisition Of Mathematics Concepts And Processes
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Author : Richard A. Lesh
language : en
Publisher:
Release Date : 1983
Acquisition Of Mathematics Concepts And Processes written by Richard A. Lesh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Acquisition Of Complex Arithmetic Skills And Higher Order Mathematics Concepts
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Author : David C. Geary
language : en
Publisher: Academic Press
Release Date : 2017-02-08
Acquisition Of Complex Arithmetic Skills And Higher Order Mathematics Concepts written by David C. Geary and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-08 with Psychology categories.
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
Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2012-12-06
Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
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.
Classics In Mathematics Education Research
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Author : Thomas P. Carpenter
language : en
Publisher: National Council of Teachers of English
Release Date : 2004
Classics In Mathematics Education Research written by Thomas P. Carpenter and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Udvalgte artikler fra bøger og tidsskrifter fra perioden 1947-1996
Mathematics Quick Looks Grade 3
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Author : Edd Bobby Allen
language : en
Publisher:
Release Date : 2017-11-27
Mathematics Quick Looks Grade 3 written by Edd Bobby Allen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with categories.
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.
The Handbook Of Mathematics Teacher Education Volume 2
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Author :
language : en
Publisher: BRILL
Release Date : 2008-01-01
The Handbook Of Mathematics Teacher Education Volume 2 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Education categories.
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.
Foundation Mathematics For Primary Classes Book 3 A Y 2023 24 Onward
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Author : R. S. Dhauni
language : en
Publisher: Goyal Brothers Prakashan
Release Date : 2023-05-20
Foundation Mathematics For Primary Classes Book 3 A Y 2023 24 Onward written by R. S. Dhauni and has been published by Goyal Brothers Prakashan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-20 with Juvenile Nonfiction categories.
We are pleased to present the revised edition of the series Foundation Mathematics for Primary Classes (Books 1-5}. This series is based on the latest curriculum prepared and recommended by the Council for the Indian School Certificate Examinations, New Delhi. The new curriculum for Classes 1 to 5 is designed to ensure that children build a solid foundation in mathematics by connecting and applying mathematical concepts in a variety of ways. This curriculum aims to develop a number of mathematical skills and processes among children. Main objectives of teaching and learning mathematics at primary level are to : • Develop the mathematical thinking and problem solving skills and apply these to formulate and solve problems. • Acquire the necessary mathematical concepts and skills for everyday life, and for continuous learning in mathematics and related disciplines. • Develop the necessary process skills for the acquisition and application of mathematical concepts. • Create love and interest towards mathematics. • Make effective use of a variety of mathematical tools in the learning and application of mathematics. • Reason logically, communicate mathematically, and learn cooperatively and independently. The present series has been developed and designed keeping the above objectives in mind. This child-friendly series teaches Mathematics in such an interesting and comprehensive manner that even an average child has no difficulty in grasping the fundamental concepts of Mathematics. The Salient Features of this Series are : • A graded and spiralling approach, keeping in mind the age and level of understanding of the student. • Eye-catching illustrations and child-friendly layout to kindle the imagination of the child and create an interest in the subject. • Each chapter begins with the heading Let Us Recall, which refreshes the concepts learnt in the previous class. • The fact box Remember highlights the important points. • Concept detailing helps in conceptual understanding that refers to grasp of ideas. • Interactive exercises help in kids participation. This level of engagement makes it easier for kids to retain information. • Value Based Questions are meant to inculcate moral values in the children. • Review Exercise at the end of each chapter checks the retention capacity and the level of understanding of the students. • Assignments under the heading Mental Matbs not only enhance the mathematical and calculation skills of the students but also fortify the concepts already learned. • Let's Play introduces games that improves critical thinking, problem solving, interaction and collaboration with peers. • Maths Lab Activities are meant to learn mathematical concepts through various activities. • Two Model Test Papers, one for Half Yearly Examination and other for Annual Examination have also been added in each book. It is hoped that the series will meet the requirements of the students, teachers and parents alike. Suggestions and constructive criticism for the improvement of the books would be highly appreciated. -The Publishers
Foundation Mathematics For Primary Classes Book 2 A Y 2023 24 Onward
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Author : R. S. Dhauni
language : en
Publisher: Goyal Brothers Prakashan
Release Date : 2023-05-20
Foundation Mathematics For Primary Classes Book 2 A Y 2023 24 Onward written by R. S. Dhauni and has been published by Goyal Brothers Prakashan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-20 with Juvenile Nonfiction categories.
We are pleased to present the revised edition of the series Foundation Mathematics for Primary Classes (Books 1-5}. This series is based on the latest curriculum prepared and recommended by the Council for the Indian School Certificate Examinations, New Delhi. The new curriculum for Classes 1 to 5 is designed to ensure that children build a solid foundation in mathematics by connecting and applying mathematical concepts in a variety of ways. This curriculum aims to develop a number of mathematical skills and processes among children. Main objectives of teaching and learning mathematics at primary level are to : • Develop the mathematical thinking and problem solving skills and apply these to formulate and solve problems. • Acquire the necessary mathematical concepts and skills for everyday life, and for continuous learning in mathematics and related disciplines. • Develop the necessary process skills for the acquisition and application of mathematical concepts. • Create love and interest towards mathematics. • Make effective use of a variety of mathematical tools in the learning and application of mathematics. • Reason logically, communicate mathematically, and learn cooperatively and independently. The present series has been developed and designed keeping the above objectives in mind. This child-friendly series teaches Mathematics in such an interesting and comprehensive manner that even an average child has no difficulty in grasping the fundamental concepts of Mathematics. The Salient Features of this Series are : • A graded and spiralling approach, keeping in mind the age and level of understanding of the student. • Eye-catching illustrations and child-friendly layout to kindle the imagination of the child and create an interest in the subject. • Each chapter begins with the heading Let Us Recall, which refreshes the concepts learnt in the previous class. • The fact box Remember highlights the important points. • Concept detailing helps in conceptual understanding that refers to grasp of ideas. • Interactive exercises help in kids participation. This level of engagement makes it easier for kids to retain information. • Value Based Questions are meant to inculcate moral values in the children. • Review Exercise at the end of each chapter checks the retention capacity and the level of understanding of the students. • Assignments under the heading Mental Matbs not only enhance the mathematical and calculation skills of the students but also fortify the concepts already learned. • Let's Play introduces games that improves critical thinking, problem solving, interaction and collaboration with peers. • Maths Lab Activities are meant to learn mathematical concepts through various activities. • Two Model Test Papers, one for Half Yearly Examination and other for Annual Examination have also been added in each book. It is hoped that the series will meet the requirements of the students, teachers and parents alike. Suggestions and constructive criticism for the improvement of the books would be highly appreciated. -The Publishers
Dual Process Theories Of Numerical Cognition
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Author : Mario Graziano
language : en
Publisher: Springer
Release Date : 2018-08-12
Dual Process Theories Of Numerical Cognition written by Mario Graziano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-12 with Science categories.
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.
Teaching And Learning Mathematical Problem Solving
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Author : Edward A. Silver
language : en
Publisher: Routledge
Release Date : 2013-04-03
Teaching And Learning Mathematical Problem Solving written by Edward A. Silver and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
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.