Rigorous Mathematical Thinking
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Rigorous Mathematical Thinking
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Author : James T. Kinard
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-02
Rigorous Mathematical Thinking written by James T. Kinard 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 2008-06-02 with Psychology categories.
This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. This approach seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: they should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches – Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers.
Rigorous Mathematical Thinking
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Author : James T. Kinard (Sr.)
language : en
Publisher:
Release Date : 2008
Rigorous Mathematical Thinking written by James T. Kinard (Sr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The first book to present mathematics teaching from Vygotsky's socio-cultural theory of learning perspective.
Advanced Mathematical Thinking
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Author : Annie Selden
language : en
Publisher: Routledge
Release Date : 2013-10-15
Advanced Mathematical Thinking written by Annie Selden and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-15 with Education categories.
This is Volume 7, Issue 1 2005, a Special Issue of 'Mathematical Thinking and Learning' which looks at Advanced Mathematical Thinking. Opening with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. The articles follow the recurring themes: (a) the distinction between identifying kinds of thinking that might be regarded as advanced at any grade level and taking as advanced any thinking about mathematical topics considered advanced; (b) the utility of characterizing such thinking for integrating the entire curriculum; (c) general tests, or criteria, for identifying advanced mathematical thinking; and (d) an emphasis on advancing mathematical practices.
Introduction To Mathematical Thinking
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Author : Friedrich Waismann
language : en
Publisher: Courier Corporation
Release Date : 2012-08-07
Introduction To Mathematical Thinking written by Friedrich Waismann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-07 with Mathematics categories.
Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.
Interdisciplinary Perspectives On Math Cognition
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2019-09-14
Interdisciplinary Perspectives On Math Cognition written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-14 with Mathematics categories.
This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.
Mathematical Thinking And Problem Solving
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2016-05-06
Mathematical Thinking And Problem Solving written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Education categories.
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.
Eight Habits Of Highly Effective Math Students And The Teachers Who Teach Them
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Author : Sue Chapman
language : en
Publisher: Corwin Press
Release Date : 2025-03-20
Eight Habits Of Highly Effective Math Students And The Teachers Who Teach Them written by Sue Chapman and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-20 with Education categories.
Essential habits to build mathematical confidence and competence for all students! It has been said that teachers make approximately 1,500 decisions a day. Given the volume of work, it is no wonder that these decisions are frequently made reflex-like and in the moment. By intentionally nurturing effective habits in students, as well as in teachers, we can make these decisions more deliberately and in so doing foster a positive relationship with mathematics that will set students on an unstoppable trajectory of math learning. Eight Habits of Highly Effective Math Students (and the Teachers Who Teach Them) focuses on developing eight essential habits that support mathematical competence and confidence in students. This resource is designed as a personalized, practice-based professional learning experience, leading you through a wealth of professional learning and application activities to support you in growing a specific math habit in your classroom to strengthen your students’ math learning and build your own efficacy. The book offers the chance to "choose your own adventure" through three teacher inquiry options focused on a specific math habit: Give it a Go! (An Informal Exploration of a Teaching Action and Its Impact on Student Learning) Classroom Inquiry (A Classroom-Based Teacher Inquiry Project) Focus on Equity (A Teacher Inquiry to Notice and Disrupt Patterns of Inequity) This book provides an actionable framework for improving math teaching and learning by Emphasizing a commitment to equity, because all students are capable of learning high-level mathematics when provided with access to high-quality instruction Helping teachers develop mindsets and habits to consciously reflect on their instructional practice to continually strengthen teaching effectiveness and student learning outcomes Curating short readings and practice-based professional learning activities that can be engaged in individually or collaboratively Highlighting the importance of celebrating growth and the role of teachers in nurturing good habits in their students Offering a guide to coaching the habit through a process called Notice, Nurture, Name, and Nudge Eight Habits of Highly Effective Math Students (and the Teachers Who Teach Them) is grounded in the unwavering belief that all students are math-capable and all teachers can effectively teach mathematics. The book can be used individually by elementary school teachers and education leaders at school and district levels or in collaborative professional learning settings. It is an excellent companion to Holly Burwell and Sue Chapman’s book Power-Up Your Math Community (Corwin, 2024).
Expertise In Mathematics Instruction
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Author : Yeping Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-15
Expertise In Mathematics Instruction written by Yeping Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-15 with Education categories.
Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instruction from both researchers’ and practitioners’ perspectives. Moreover, with research contributions from both the East and the West, this book also examines ideas pertinent to fostering and demonstrating expertise in mathematics instruction within different system contexts. This book will raise questions and issues for mathematics education researchers to guide a critical examination of what can be learned from other education systems. Expertise in Mathematics Instruction builds on its theoretical and methodological approach with contributions from international experts in the field. Additionally, a review of related research from mathematics education serves as an introduction to the new research in both Eastern and Western settings. Concluding this resource is a reflection on the benefits of this international collaboration and possible research directions for the future. The final chapter cohesively joins traditional and current research for action. Expertise in Mathematics Instruction is of interest to researchers in mathematics education, mathematics teacher educators, and mathematics educators.
Modeling Students Mathematical Modeling Competencies
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Author : Richard Lesh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-17
Modeling Students Mathematical Modeling Competencies written by Richard Lesh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-17 with Education categories.
Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
Thomas Reid On Mathematics And Natural Philosophy
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Author : Paul Wood
language : en
Publisher: Edinburgh University Press
Release Date : 2017-08-31
Thomas Reid On Mathematics And Natural Philosophy written by Paul Wood and has been published by Edinburgh University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-31 with Science categories.
Thomas Reid was an intellectual polymath interested in all aspects of Enlightenment thought. Paul Wood reconstructs Reid's career as a mathematician and natural philosopher and shows how he grappled with Sir Isaac Newton's scientific legacy.