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Teaching Mathematics In Colleges And Universities Case Studies For Todays Classroom
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Book Synopsis Teaching Mathematics in Colleges and Universities by : Solomon Friedberg
Download or read book Teaching Mathematics in Colleges and Universities written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 2001 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples presented here are chosen to offer a serious set of detailed teaching issues and to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. Teaching notes for such a facilitator are included for each Case in the Faculty Edition. The methodology of Case Studies is widely used in areas such as business and law. The consideration of the mathematics cases presented here will help readers to develop teaching skills for their own classrooms.
Book Synopsis Teaching Mathematics in Colleges and Universities by : Solomon Friedberg
Download or read book Teaching Mathematics in Colleges and Universities written by Solomon Friedberg and published by . This book was released on 2001 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks bot.
Book Synopsis Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom by : Solomon Friedberg
Download or read book Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 2001 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: by analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the case studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples presented here are chosen to offer a serious set of detailed teaching issues and to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. The methodology of case studies is widely used in areas such as business and law. The consideration of the mathematics cases presented here should help readers to develop teaching skills for their own classrooms.
Book Synopsis Windows on Teaching Math by : Katherine Klippert Merseth
Download or read book Windows on Teaching Math written by Katherine Klippert Merseth and published by Teachers College Press. This book was released on 2003-01-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical hands-on guide to improving the teaching of mathematics. Provides a collection of cases that blend important mathematics content with the real complexities of school and classroom life.
Book Synopsis Mathematics and Teaching by : Michele D. Crockett
Download or read book Mathematics and Teaching written by Michele D. Crockett and published by Routledge. This book was released on 2008-06-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Teaching uses case studies to explore complex and pervasive issues that arise in teaching. In this volume, school mathematics is the context in which to consider race, equity, political contexts and the broader social and cultural circumstances in which schooling occurs. This book does not provide immediate or definitive resolutions. Rather, its goal is to provoke and facilitate thoughtful discussion about critical issues for professional decision-making in mathematics teaching. This is the 7th volume in Reflective Teaching and the Social Conditions of Schooling: A Series for Prospective and Practicing Teachers, edited by Daniel P. Liston and Kenneth M. Zeichner. It follows the same format as previous volumes in the series. Part I includes four case studies of classroom experiences: "Race and Teacher Expectations"; "Mathematics for All?"; "Culture and School Mathematics"; and "Politics and School Mathematics." Each case is followed by a space for readers’ own reactions and reflections, school stakeholders’ reactions, and a summary with additional questions for further discussion. Part II presents three public arguments representing different views about the issues that arise in mathematics teaching: conservative, liberal and radical multiculturalist. Part III offers the authors’ reflections on the centrality of culture in teaching mathematics, resources and exercises for further reflection, and a bibliography for further reading. Mathematics and Teaching is pertinent for all prospective and practicing teachers at any stage in their teaching careers. It is appropriate for any undergraduate and graduate course addressing mathematics teaching issues.
Author :University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation Publisher : ISBN 13 : Total Pages :666 pages Book Rating :4.:/5 (31 download)
Book Synopsis Case Studies in Science Education by : University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation
Download or read book Case Studies in Science Education written by University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation and published by . This book was released on 1978 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Making the Connection by : Marilyn Paula Carlson
Download or read book Making the Connection written by Marilyn Paula Carlson and published by MAA. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.
Book Synopsis Best Practices for Teaching Mathematics by : Randi Stone
Download or read book Best Practices for Teaching Mathematics written by Randi Stone and published by Corwin Press. This book was released on 2007-03-28 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spark students' interest in math with intriguing and winning strategies that include animated learning icons, money-based systems, human number lines, "sweet" solutions, and much more.
Book Synopsis Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning by : Wendy M. Smith
Download or read book Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning written by Wendy M. Smith and published by American Mathematical Soc.. This book was released on 2021-05-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?
Book Synopsis Enhancing University Mathematics by : Ki-hyŏng Ko
Download or read book Enhancing University Mathematics written by Ki-hyŏng Ko and published by American Mathematical Soc.. This book was released on 2007 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with teaching mathematics, a core activity of the contemporary university. It is suitable for the library of every university and mathematician. It features a broad range of topics (technology, pedagogy, philosophy, course content) of interest and value to all who teach university mathematics. This is one of the few books dealing with this essential subject.
Book Synopsis Teaching Math to Multilingual Students, Grades K-8 by : Kathryn B. Chval
Download or read book Teaching Math to Multilingual Students, Grades K-8 written by Kathryn B. Chval and published by Corwin. This book was released on 2020-12-21 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Book Synopsis The Work of Mathematics Teacher Educators by : Kathleen Lynch-Davis
Download or read book The Work of Mathematics Teacher Educators written by Kathleen Lynch-Davis and published by IAP. This book was released on 2015-10-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2005) A major focus of teacher education is the development of preservice teachers. However, it should not be the only focus of those who work in teacher education. Educating inservice teachers in equally important, and the conversation among those involved in mathematics teacher education needs to include discussion of this group as well. This conversation also highlights a need for professional development for teacher educators and research on the development of teacher educators. This monograph discusses issues in educating all of these groups of individuals in an effort to continue the conversation among those involded in mathematics teacher education.
Author :University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation Publisher : ISBN 13 : Total Pages :528 pages Book Rating :4.F/5 ( download)
Book Synopsis Case Studies in Science Education by : University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation
Download or read book Case Studies in Science Education written by University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation and published by . This book was released on 1978 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in Collegiate Mathematics Education VII by : Fernando Hitt
Download or read book Research in Collegiate Mathematics Education VII written by Fernando Hitt and published by American Mathematical Soc.. This book was released on 2010-03-05 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first two examine problems students experience when converting a representation from one particular system of representations to another. The next three papers investigate students learning about proofs. In the next two papers, the focus is instructor knowledge for teaching calculus. The final two papers in the volume address the nature of ``conception'' in mathematics. Whether they are specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas that they can use.
Author :Conference Board of the Mathematical Sciences Publisher :American Mathematical Soc. ISBN 13 :0821869264 Total Pages :86 pages Book Rating :4.8/5 (218 download)
Book Synopsis The Mathematical Education of Teachers II by : Conference Board of the Mathematical Sciences
Download or read book The Mathematical Education of Teachers II written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2012 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report is a resource for those who teach mathematics and statistics to pre-K-12 mathematics teachers, both future teachers and those who already teach in our nation's schools. The report makes recommendations for the mathematics that teachers should know and how they should come to know that mathematics.
Book Synopsis Mathematics Matters in Education by : Yeping Li
Download or read book Mathematics Matters in Education written by Yeping Li and published by Springer. This book was released on 2017-10-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.
Book Synopsis Upper Elementary Math Lessons by : Anna O. Graeber
Download or read book Upper Elementary Math Lessons written by Anna O. Graeber and published by Rowman & Littlefield Publishers. This book was released on 2011-07-16 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging students in worthwhile learning requires more than a knowledge of underlying principles of good teaching. It demands considerable practice as well as images of what good teaching in particular situations and for particular purposes might look like. This volume provides these images. These cases were written from authentic, unrehearsed lessons taught by upper-elementary classroom teachers to diverse groups of real students in intact classrooms. Each lesson contains elements of sound instructional practice from which both preservice and in-service teachers can benefit. Cases are not meant to be ideal, but rather to evoke ways of seeing and thinking about good classroom instruction for all learners. Accompanied by analytic commentaries from experts representing a particular perspective, such as special education and ESOL, these unrehearsed cases are written with the understanding that teaching is complex and multi-dimensional. The cases are drawn from a four-year study of 4th and 5th grade mathematics instruction of culturally diverse classrooms with relatively high rates of students from low-income families.
