Does Mathematical Study Develop Logical Thinking
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Does Mathematical Study Develop Logical Thinking Testing The Theory Of Formal Discipline
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Author : Matthew Inglis
language : en
Publisher: World Scientific
Release Date : 2016-09-06
Does Mathematical Study Develop Logical Thinking Testing The Theory Of Formal Discipline written by Matthew Inglis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
For centuries, educational policymakers have believed that studying mathematics is important, in part because it develops general thinking skills that are useful throughout life. This 'Theory of Formal Discipline' (TFD) has been used as a justification for mathematics education globally. Despite this, few empirical studies have directly investigated the issue, and those which have showed mixed results.Does Mathematical Study Develop Logical Thinking? describes a rigorous investigation of the TFD. It reviews the theory's history and prior research on the topic, followed by reports on a series of recent empirical studies. It argues that, contrary to the position held by sceptics, advanced mathematical study does develop certain general thinking skills, however these are much more restricted than those typically claimed by TFD proponents.Perfect for students, researchers and policymakers in education, further education and mathematics, this book provides much needed insight into the theory and practice of the foundations of modern educational policy.
Heterogeneous Contributions To Numerical Cognition
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Author : Wim Fias
language : en
Publisher: Academic Press
Release Date : 2021-05-28
Heterogeneous Contributions To Numerical Cognition written by Wim Fias and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-28 with Medical categories.
Arithmetic disability stems from deficits in neurodevelopment, with great individual differences in development or function of an individual at neuroanatomical, neuropsychological, behavioral, and interactional levels. Heterogeneous Contributions to Numerical Cognition: Learning and Education in Mathematical Cognition examines research in mathematical education methods and their neurodevelopmental basis, focusing on the underlying neurodevelopmental features that must be taken into account when teaching and learning mathematics. Cognitive domains and functions such as executive functions, memory, attention, and language contribute to numerical cognition and are essential for its proper development. These lines of research and thinking in neuroscience are discussed in this book to further the understanding of the neurodevelopmental and cognitive basis of more complex forms of mathematics – and how to best teach them. By unravelling the basic building blocks of numerical thinking and the developmental basis of human capacity for arithmetic, this book and the discussions within are important for the achievement of a comprehensive understanding of numerical cognition, its brain basis, development, breakdown in brain-injured individuals, and failures to master mathematical skills. - A novel innovative reference on the emerging field of numerical cognition and neurodevelopment underlying mathematical education - Includes an overview of the multiple disciplines that comprise numerical cognition written by world-leading researchers in the numerical cognition and neurodevelopment fields - Features an innovative organization with each section providing a general overview, developmental research, neurocognitive mechanisms, and discussion about relevant studies
Advances In Experimental Philosophy Of Logic And Mathematics
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Author : Andrew Aberdein
language : en
Publisher: Bloomsbury Publishing
Release Date : 2019-05-02
Advances In Experimental Philosophy Of Logic And Mathematics written by Andrew Aberdein and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Philosophy categories.
This book explores the results of applying empirical methods to the philosophy of logic and mathematics. Much of the work that has earned experimental philosophy a prominent place in twenty-first century philosophy is concerned with ethics or epistemology. But, as this book shows, empirical methods are just as much at home in logic and the philosophy of mathematics. Chapters demonstrate and discuss the applicability of a wide range of empirical methods including experiments, surveys, interviews, and data-mining. Distinct themes emerge that reflect recent developments in the field, such as issues concerning the logic of conditionals and the role played by visual elements in some mathematical proofs. Featuring leading figures from experimental philosophy and the fields of philosophy of logic and mathematics, this collection reveals that empirical work in these disciplines has been quietly thriving for some time and stresses the importance of collaboration between philosophers and researchers in mathematics education and mathematical cognition.
The Cambridge Handbook Of Cognitive Development
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Author : Olivier Houdé
language : en
Publisher:
Release Date : 2022-03-03
The Cambridge Handbook Of Cognitive Development written by Olivier Houdé and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-03 with Psychology categories.
This handbook presents a cutting-edge overview of cognitive development, spanning methodology, key domain-based findings and applications.
Mathematics Rebooted
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Author : Lara Alcock
language : en
Publisher: Oxford University Press
Release Date : 2017-10-06
Mathematics Rebooted written by Lara Alcock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-06 with Mathematics categories.
Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.
How To Think About Abstract Algebra
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Author : Lara Alcock
language : en
Publisher: Oxford University Press
Release Date : 2021-02-04
How To Think About Abstract Algebra written by Lara Alcock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-04 with Science categories.
How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.
Bad At Math
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Author : Lidia Gonzalez
language : en
Publisher: Corwin Press
Release Date : 2023-02-03
Bad At Math written by Lidia Gonzalez and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-03 with Education categories.
Math really is for everyone—so let’s prove it. You’ve heard it from kids, from friends, and from celebrities: "I’m bad at math." It’s a line that society tends to accept without examination—after all, some people just aren’t "math people," right? Wrong. As we do with other essential skills, we need to expose the stereotypes, challenge the negative mindsets, and finally confront the systemic opportunity gaps in math education, and replace them with a new vision for what math is, who it’s for, and who can excel at it. In this book you’ll find Research on teacher and student mindsets and their effect on student achievement Audience-specific and differentiated tools, reflection questions, and suggested actions for educators at all levels of the system Examples from popular media, as well as personal stories and anecdotes Quotes, data-driven figures, and suggestions for deeper learning on all aspects of a positive and equitable vision of math education Both social commentary and a toolkit of solutions, this bold new book directly challenges the constructs that have historically dictated our perceptions of what makes someone a "math person". Only by dismantling those misplaced assumptions can we reform math education so it works for everyone. Because in truth, we are all math people.
The Best Writing On Mathematics 2019
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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2019-11-05
The Best Writing On Mathematics 2019 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.
The year's finest mathematical writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2019 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today's hottest mathematical debates. In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more. In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
Uptet Teacher Selection Paper 1 For Class 1 To 5 2020
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Author : Arihant Experts
language : en
Publisher: Arihant Publications India limited
Release Date :
Uptet Teacher Selection Paper 1 For Class 1 To 5 2020 written by Arihant Experts and has been published by Arihant Publications India limited this book supported file pdf, txt, epub, kindle and other format this book has been release on with Study Aids categories.
Teaching is one of the oldest and most respected profession, it molds the fragile minds into a strong independent decision makers. UPTET is a state level Test that is conducted by UPBEB (Uttar Pradesh Basic Education Board) for the requirement of Primary and Upper Primary Level Teachers in various schools of Uttar Pradesh. UPTET exam is conducts two phases – Phase 1 – For Primary Teachers and Phase 2 – For Upper Primary Teachers. The eligibility criteria for both Phases are different. The present edition of UPTET Paper 1Teacher Selection for Class I-V gives the best study material to the aspirants who are willing to pursue teaching as a profession. The book is divided 5 Sections which are further divided into chapters and covering the complete syllabus. It provides Previous Years’ Solved Papers [2018-2016] in the beginning of the book in order to make applicants understand the latest pattern of the examination and the answer writing tactics. Answers of each question is well explained with the concepts in an easy to understand language so the candidates could grasp it easily and quickly. Ample amount of questions are given in the book for thorough practice. This book is an excellent guide to prepare the students for facing the upcoming UPTET Exam. TABLE OF CONTENT Solved Paper (November) 2018, Solved Paper (October) 2017, Solved Paper (December) 2016, Solved Paper (February) 2016, Child Development and Pedagogy, Language I (English), Language II (Hindi), Mathematics, Environmental Studies.
Mathematical Studies Standard Level For The Ib Diploma Coursebook
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Author : Caroline Meyrick
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-30
Mathematical Studies Standard Level For The Ib Diploma Coursebook written by Caroline Meyrick and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-30 with Education categories.
This completely new title is written to specifically cover the new IB Diploma Mathematical Studies syllabus. The significance of mathematics for practical applications is a prominent theme throughout this coursebook, supported with Theory of Knowledge, internationalism and application links to encourage an appreciation of the broader contexts of mathematics. Mathematical modelling is also a key feature. GDC tips are integrated throughout, with a dedicated GDC chapter for those needing more support. Exam hints and IB exam-style questions are provided within each chapter; sample exam papers (online) can be tackled in exam-style conditions for further exam preparation. Guidance and support for the internal assessment is also available, providing advice on good practice when writing the project.