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Math Makes Sense A Constructivist Approach To The Teaching And Learning Of Mathematics


Math Makes Sense A Constructivist Approach To The Teaching And Learning Of Mathematics
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Math Makes Sense A Constructivist Approach To The Teaching And Learning Of Mathematics


Math Makes Sense A Constructivist Approach To The Teaching And Learning Of Mathematics
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Author : Ana Helvia Quintero
language : en
Publisher: World Scientific
Release Date : 2016-03-02

Math Makes Sense A Constructivist Approach To The Teaching And Learning Of Mathematics written by Ana Helvia Quintero and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.


The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.



Math Makes Sense


Math Makes Sense
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Author : Rachel Griffiths
language : en
Publisher: Heinemann Educational Publishers
Release Date : 1994

Math Makes Sense written by Rachel Griffiths and has been published by Heinemann Educational Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Education categories.




International Reflections On The Netherlands Didactics Of Mathematics


International Reflections On The Netherlands Didactics Of Mathematics
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Author : Marja van den Heuvel-Panhuizen
language : en
Publisher: Springer
Release Date : 2019-08-13

International Reflections On The Netherlands Didactics Of Mathematics written by Marja van den Heuvel-Panhuizen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Education categories.


This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.



A Sage On The Stage Common Sense Reflections On Teaching And Learning


A Sage On The Stage Common Sense Reflections On Teaching And Learning
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Author : Michael Zwaagstra
language : en
Publisher: Hachette UK
Release Date : 2020-01-27

A Sage On The Stage Common Sense Reflections On Teaching And Learning written by Michael Zwaagstra and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-27 with Education categories.


A collection of articles on what works for teachers and learners in the classroom - and what doesn't. Covers topics from school discipline to content knowledge to no-zero policies. Michael Zwaagstra is a public high school teacher and author. He has extensive teaching experience at a variety of grade levels and currently teaches high school social studies in Manitoba.



Mathematical Outreach Explorations In Social Justice Around The Globe


Mathematical Outreach Explorations In Social Justice Around The Globe
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Author : Hector Rosario
language : en
Publisher: World Scientific
Release Date : 2019-10-30

Mathematical Outreach Explorations In Social Justice Around The Globe written by Hector Rosario and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Mathematics categories.


'The presentations gathered in this book offer plenty of ideas and advice for anyone seeking to start a program or affiliate with an existing one. In general, the authors do not compare their programs to those described in other chapters, but readers of the whole volume will identify significant commonalties across the various audiences, processes, obstacles, and outcomes described.Summing up: Recommended. All readers.'CHOICEThis groundbreaking anthology is a collection of accounts from leaders in mathematical outreach initiatives. The experiences range from prison education programs to alternative urban and Indian reservation classrooms across the United States, traversing the planet from the Americas to Africa, Asia, and the Indian subcontinent. Their common theme is the need to share meaningful and beautiful mathematics with disenfranchised communities across the globe.Through these stories, the authors share their educational philosophy, personal experiences, and student outcomes. They incorporate anecdotal vignettes since research articles in mathematics education often exclude them. The inclusion of these stories is an element that adds immeasurable value to the larger narratives they tell.



Teaching Secondary Mathematics


Teaching Secondary Mathematics
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Author : David Rock
language : en
Publisher: Taylor & Francis
Release Date : 2024-02-15

Teaching Secondary Mathematics written by David Rock and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-15 with Education categories.


Solidly grounded in up-to-date research, theory, and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence. Each chapter features tried-and-tested pedagogical techniques, problem-solving challenges, discussion points, activities, mathematical challenges, and student-life-based applications that will encourage students to think and do. New to the fifth edition: A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligence A new chapter on equity, shame, and anxiety in the mathematics classroom Connections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and Standards Problem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions A fresh interior design to better highlight pedagogical elements and key features A completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources.



Winning The Math Wars


Winning The Math Wars
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Author : Martin L. Abbott
language : en
Publisher: University of Washington Press
Release Date : 2011-07-01

Winning The Math Wars written by Martin L. Abbott and has been published by University of Washington Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-01 with Education categories.


Washington State is about to enter a new phase of the "math wars." Since the late 1980s, the debate over how best to teach mathematics to schoolchildren has raged worldwide among educators, politicians, and parents. The stakes are high. To operate effectively in a global, twenty-first-century economy and polity, the United states must provide an education in mathematics that is both excellent and equitable. In this volume, four scholars at the Washington School Research Center (WSRC) at Seattle Pacific University present original research drawn from statistical studies of state educational data and from thousands of classroom observations carried out by The BERC Group. They assess the current state of math education and review its history and development. The authors also provide a dispassionate review of the extensive international, national, and state literature. The in-depth observational research in Winning the Math Wars confirms that the real issue is neither the approach to teaching--traditional or reform--nor the type of curriculum. If America's goal of educational equity and excellence is to be achieved, then math teachers everywhere must be fully supported in developing the specific skills that are ideal for educating all students. The authors discussion focus on four principles for improving math teaching and learning: fidelity to reform efforts by all involved; an emphasis on instruction and instructional tools; the critical nature of mathematical knowledge; and the need for transformational change. Winning the Math Wars is an important book for policy makers, school leaders, practitioners of mathematics education, parents, and anyone who wants to make sense of the "math wars."



How Humans Learn To Think Mathematically


How Humans Learn To Think Mathematically
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Author : David Tall
language : en
Publisher: Cambridge University Press
Release Date : 2013-09-02

How Humans Learn To Think Mathematically written by David Tall 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 2013-09-02 with Education categories.


How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.



Radical Constructivism In Mathematics Education


Radical Constructivism In Mathematics Education
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Author : E. von Glasersfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-06-30

Radical Constructivism In Mathematics Education written by E. von Glasersfeld 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 1991-06-30 with Education categories.


Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them. Parents, teachers, and researchers in the field of education are well aware of this dismal situation, but their views about what causes the wide-spread failure and what steps should be taken to correct it have so far not come anywhere near a practicable consensus. The authors of the chapters in this book have all had extensive experience in teaching as well as in educational research. They approach the problems they have isolated from their own individual perspectives. Yet, they share both an overall goal and a specific fundamental conviction that characterized the efforts about which they write here. The common goal is to find a better way to teach mathematics. The common conviction is that knowledge cannot simply be transferred ready-made from parent to child or from teacher to student but has to be actively built up by each learner in his or her own mind.



And The Rest Is Just Algebra


And The Rest Is Just Algebra
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Author : Sepideh Stewart
language : en
Publisher: Springer
Release Date : 2016-10-20

And The Rest Is Just Algebra written by Sepideh Stewart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Education categories.


This book addresses college students' weak foundation in algebra, its causes, and potential solutions to improve their long-term success and understanding in mathematics as a whole. The authors, who are experts in a wide variety of fields, emphasize that these difficulties are more complex than just forgotten rules, and offer strategic approaches from a number of angles that will increase the chances of student understanding. Instructors who are frustrated with their students’ lack of skills and knowledge at college level will find this volume helpful, as the authors confront the deeper reasons why students have difficulties with Algebra and reveal how to remedy the issue.