Teaching Mathematics As Agape
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Teaching Mathematics As Agape
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Author : Joel C. Amidon
language : en
Publisher:
Release Date : 2011
Teaching Mathematics As Agape written by Joel C. Amidon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Mathematics As The Science Of Patterns
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Author : Patrick M. Jenlink
language : en
Publisher: IAP
Release Date : 2022-02-01
Mathematics As The Science Of Patterns written by Patrick M. Jenlink and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-01 with Education categories.
Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
Embracing Mathematics
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Author : Peter Appelbaum
language : en
Publisher: Routledge
Release Date : 2008-06-30
Embracing Mathematics written by Peter Appelbaum and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-30 with Education categories.
This "alternative textbook" integrates pedagogy and content exploration in ways that are unique in mathematics education, provoking new ideas for making mathematics education meaningful to teachers at all levels as well as their students.
Teaching Mathematics
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Author : Eric Love
language : en
Publisher:
Release Date : 1992
Teaching Mathematics written by Eric Love and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Vital Directions For Mathematics Education Research
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Author : Keith R Leatham
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Vital Directions For Mathematics Education Research written by Keith R Leatham 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 2014-07-08 with Education categories.
This book provides a collection of chapters from prominent mathematics educators in which they each discuss vital issues in mathematics education and what they see as viable directions research in mathematics education could take to address these issues. All of these issues are related to learning and teaching mathematics. The book consists of nine chapters, seven from each of seven scholars who participated in an invited lecture series (Scholars in Mathematics Education) at Brigham Young University, and two chapters from two other scholars who are writing reaction papers that look across the first seven chapters. The recommendations take the form of broad, overarching principles and ideas that cut across the field. In this sense, this book differs from classical “research agenda projects,” which seek to outline specific research questions that the field should address around a central topic.
The Dynamic Concepts Of Philosophical Mathematics
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Author : Anthony Ugochukwu O. Aliche
language : en
Publisher: iUniverse
Release Date : 2013
The Dynamic Concepts Of Philosophical Mathematics written by Anthony Ugochukwu O. Aliche and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
In The Dynamic Concept of Philosophical Mathematics, author Anthony Ugochukwu O. Aliche delves deeply into a comprehensive discussion into the intertwined relationship between philosophy and mathematics. Aliche begins by defining philosophical mathematics and traces its origins and its branches. He then relates the concept to the worlds of science, engineering, technology, creative and applied arts, and human existence. In this systemic, practical and research-driven work, Aliche presents innovative interpretations of mathematical and philosophical issues and reexamines their relevance and applicability to modern developments. He also proposes abolishing most ancient and primordial mathematical policies and formulas, as they are not helping the world of science and technology to grow. Presenting principles, practices, and theories, The Dynamic Concept of Philosophical Mathematics demystifies the oracle of mathematics and communicates that knowledge is power and must therefore be progressive. He equally insisted that the progressive nature of knowledge which must be God-driven fundamentally fulcrumed the demystification of QED which he replaced with the Infinitude Method which scientifically agrees with the progressive dynamism of knowledge. "A product of seasoned scholarship, natural wisdom, empirical research, and inspired originality. It is perhaps one of the most sophisticated intellectual inputs to the world of knowledge"
Making Sense Of Mathematics Teacher Education
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Author : Fou-Lai Lin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Making Sense Of Mathematics Teacher Education written by Fou-Lai Lin 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 2011-06-28 with Education categories.
This is a research-based book that deals with a broad range of issues about mathematics teacher education. It examines teacher education programs from different societies and cultures as it develops an international perspective on mathematics teacher education. Practical situations that are associated with related theories are studied critically. It is intended for teacher educators, mathematics educators, graduate students in mathematics education, and mathematics teachers.
The Mathematics Education Of Elementary Teachers
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Author : Lynn C. Hart
language : en
Publisher: IAP
Release Date : 2016-07-01
The Mathematics Education Of Elementary Teachers written by Lynn C. Hart and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-01 with Education categories.
This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak mathematical skills and knowledge, many also hold negative attitudes, anxiety, and misguided beliefs about mathematics. This book is designed to support instructors who teach these students in mathematics content for elementary teachers courses. Elementary teachers need a richly developed understanding of the mathematics they are teaching in order to teach it effectively. Providing them with the needed preparation is difficult, but can be eased with a solid understanding of the mathematical concerns and limitations PSTs bring to the learning of mathematics and a familiarity with the standards and curricula topics PSTs will be expected to teach. Chapter One makes the argument that elementary mathematics is not trivial. This is followed by an analysis of four central issues related to the mathematical preparation of elementary teachers, specifically: (1) selecting/creating/modifying and implementing mathematical tasks (2) noticing/understanding children’s ways of thinking as a foundation for learning mathematics, (3) developing mathematical habits of mind in PSTs, and (4) understanding the role affect plays in the mathematical learning of PSTs. The final chapter presents three international examples of programs that currently consider these factors in the implementation of their courses.
Beyond Classical Pedagogy
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Author : Terry Wood
language : en
Publisher: Routledge
Release Date : 2014-04-04
Beyond Classical Pedagogy written by Terry Wood and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-04 with Education categories.
The emergence of the National Council of Teachers of Mathematics Standards in 1989 sparked a sea change in thinking about the nature and quality of mathematics instruction in U.S. schools. Much is known about transmission forms of mathematics teaching and the influence of this teaching on students' learning, but there is still little knowledge about the alternative forms of instruction that have evolved from the recent widespread efforts to reform mathematics education. Beyond Classical Pedagogy: Teaching Elementary School Mathematics reports on the current state of knowledge about these new instructional practices, which differ in significant ways from the traditional pedagogy that has permeated mathematics education in the past. This book provides a research-based view of the nature of facilitative teaching in its relatively mature form, along with opposing views and critique of this form of pedagogy. The focus is on elementary school mathematics classrooms, where the majority of the reform-based efforts have occurred, and on the micro level of teaching (classroom interaction) as a source for revealing the complexity involved in teaching, teachers' learning, and the impact of both on children's learning. The work in elementary mathematics teaching is situated in the larger context of research on teaching. Research and insights from three disciplinary perspectives are presented: the psychological perspective centers on facilitative teaching as a process of teachers' learning; the mathematical perspective focuses on the nature of the mathematical knowledge teachers need in order to engage in this form of teaching; the sociological perspective attends to the interactive process of meaning construction as teachers and students create intellectual communities in their classrooms. The multidisciplinary perspectives presented provide the editors with the necessary triangulation to provide confirming evidence and rich detail about the nature of facilitative teaching. Audiences for this book include scholars in mathematics education and teacher education, teacher educators, staff developers, and classroom teachers. It is also appropriate as a text for graduate courses in mathematics education, teacher education, elementary mathematics teaching methods, and methods of research in mathematics education.
Lesson Study Challenges In Mathematics Education
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Author : Maitree Inprasitha
language : en
Publisher: World Scientific
Release Date : 2015-03-25
Lesson Study Challenges In Mathematics Education written by Maitree Inprasitha and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-25 with Mathematics categories.
Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies.Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms.