Understanding In Mathematics
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Understanding In Mathematics
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Author : Anna Sierpinska
language : en
Publisher: Routledge
Release Date : 2013-01-11
Understanding In Mathematics written by Anna Sierpinska and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Education categories.
The concept of understanding in mathematics with regard to mathematics education is considered in this volume. The main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught. In combining elements of maths, philosophy, logic, linguistics and the psychology of maths education from her own and European research, Dr Sierpinska considers the contributions of the social and cultural contexts to understanding. The outcome is an insight into both mathematics and understanding.
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2021-01-18
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Education categories.
This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver. The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.
Understanding Mathematics And Science Matters
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Author : Thomas A. Romberg
language : en
Publisher: Routledge
Release Date : 2005
Understanding Mathematics And Science Matters written by Thomas A. Romberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.
Drawing on conclusions from 1996-2001 research conducted by the National Center for Improving Student Learning in Mathematics and Science, this volumes details education reform in math and science instruction. Topics include developing modeling and argument in the elementary grades, developing algebraic reasoning in the elementary school, learning mathematics in high school, changing teachers' professional work in mathematics, teacher collaboration, and research in assessment practices.
Understanding Mathematics For Young Children
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Author : Derek Haylock
language : en
Publisher: SAGE
Release Date : 2013-03-13
Understanding Mathematics For Young Children written by Derek Haylock and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Education categories.
Lecturers, why waste time waiting for the post arrive? Request your e-inspection copy today! 'This book was a delight to read. The mathematical content is excellent and the approach to explaining complex concepts is exceptionally good!' -Dr Jennifer Way, University of Sydney 'I'm a really big fan of this book: it is the single most influential text in my experience of working with primary maths teachers in the last 12 years' - Andy Tynemouth, Every Child Counts National Adviser, Edge Hill University 'Every teacher of maths should read this book! It helped me realize why some children are struggling with doing simple word problems' -Amazon reader review If you are a teacher or student teacher in a nursery or primary school, you need a secure understanding of the mathematical ideas behind the material you will use in the classroom. To help young children develop their understanding of mathematics, you need to develop your own understanding of how mathematics is learnt. In this indispensible book, the authors help you to understand mathematical concepts and how children come to understand them, and also help develop your own confidence with mathematical activities. Each chapter of this book includes: -Real-life examples and illustrations from children and teachers in the classroom -The research behind some of the concepts and teaching approaches discussed -Pauses to reflect and discuss your own mathematical knowledge and experience -Age-appropriate classroom activities to try with your class or group.
Understanding Mathematics In The Lower Primary Years
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Author : Derek Haylock
language : en
Publisher: SAGE
Release Date : 2003
Understanding Mathematics In The Lower Primary Years written by Derek Haylock and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.
New Edition of Best Seller! This is a fully revised and updated edition of the authors' successful and much-used book and was written for those who wish to have a clearer understanding of the mathematical ideas behind the material they use in the classroom.
Understanding Mathematics Through Problem Solving
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2020-03-23
Understanding Mathematics Through Problem Solving written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-23 with Mathematics categories.
This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.
Using And Understanding Mathematics
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Author : Jeffrey O. Bennett
language : en
Publisher:
Release Date : 2005
Using And Understanding Mathematics written by Jeffrey O. Bennett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Developing Essential Understanding Of Functions For Teaching Mathematics In Grades 9 12
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Author : Thomas J. Cooney
language : en
Publisher:
Release Date : 2010
Developing Essential Understanding Of Functions For Teaching Mathematics In Grades 9 12 written by Thomas J. Cooney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Curriculum enrichment categories.
Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Psychology And Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Frontiers Media SA
Release Date : 2023-09-05
Psychology And Mathematics Education written by Gila Hanna and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Science categories.
Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).
Understanding Mathematics
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Author : Richard R. Skemp
language : en
Publisher:
Release Date : 1966
Understanding Mathematics written by Richard R. Skemp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.