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Teaching Mathematics in Colleges and Universities

Author: Solomon Friedberg

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 180

ISBN-13: 9780821828755

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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 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.

Teaching Mathematics in Colleges and Universities

Author: Solomon Friedberg

Publisher:

Published: 2001

Total Pages: 67

ISBN-13: 9781470417567

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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 . 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.

Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom

Author: Solomon Friedberg

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 92

ISBN-13: 9780821828236

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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 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.

Windows on Teaching Math

Author: Katherine Klippert Merseth

Publisher: Teachers College Press

Published: 2003-01-01

Total Pages: 113

ISBN-13: 0807742783

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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 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.

Mathematics and Teaching

Author: Michele D. Crockett

Publisher: Routledge

Published: 2008-06-01

Total Pages: 190

ISBN-13: 1135705127

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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.

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 190 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.

Case Studies in Science Education

Author: University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation

Publisher:

Published: 1978

Total Pages: 666

ISBN-13:

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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:

Upper Elementary Math Lessons

Author: Anna O. Graeber

Publisher: Rowman & Littlefield Publishers

Published: 2011-07-16

Total Pages: 195

ISBN-13: 1442211970

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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.

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.

Best Practices for Teaching Mathematics

Author: Randi Stone

Publisher: Corwin Press

Published: 2007-03-28

Total Pages: 105

ISBN-13: 145229688X

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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 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.

Case Studies in Science Education

Author: University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation

Publisher:

Published: 1978

Total Pages: 528

ISBN-13:

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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:

Building Mathematics Learning Communities

Author: Erica N. Walker

Publisher: Teachers College Press

Published: 2015-04-17

Total Pages: 169

ISBN-13: 080777104X

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“Opportunity to learn (OTL) factors interact and ultimately influence mathematics achievement. Many important OTL interactions take place in school settings. This volume provides insights into the role of peer interactions in the mathematics learning process. The analysis describes with a sense of purpose a topic that is typically overlooked in discussions of mathematics reform. The case study is an important contribution to the urban mathematics education literature.” —William F. Tate, Edward Mallinckrodt Distinguished University Professor in Arts & Sciences, Washington University in St. Louis Drawing on perceptions, behaviors, and experiences of students at an urban high school—both high and low achievers—this timely book demonstrates how urban youth can be meaningfully engaged in learning mathematics. The author presents a “potential” model rather than a “deficit” model, complete with teaching strategies and best practices for teaching mathematics in innovative and relevant ways. This resource offers practical insights for pre- and inservice teachers and administrators on facilitating positive interactions, engagement, and achievement in mathematics, particularly with Black and Latino/a students. It also examines societal perceptions of urban students and how these affect teaching and learning, policies, and mathematics outcomes. Based on extensive research in urban high schools, the author identifies three key principles that must be understood for teachers and students to build strong mathematics communities. They are: Urban students want to be a part of academically challenging environments. Teachers and administrators can inadvertently create obstacles that thwart the mathematics potential of students. Educators can build on existing student networks to create collaborative and non-hierarchical communities that support mathematics achievement. Erica N. Walker is Associate Professor of Mathematics Education at Teachers College, Columbia University.

Book Synopsis Building Mathematics Learning Communities by : Erica N. Walker

Download or read book Building Mathematics Learning Communities written by Erica N. Walker and published by Teachers College Press. This book was released on 2015-04-17 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Opportunity to learn (OTL) factors interact and ultimately influence mathematics achievement. Many important OTL interactions take place in school settings. This volume provides insights into the role of peer interactions in the mathematics learning process. The analysis describes with a sense of purpose a topic that is typically overlooked in discussions of mathematics reform. The case study is an important contribution to the urban mathematics education literature.” —William F. Tate, Edward Mallinckrodt Distinguished University Professor in Arts & Sciences, Washington University in St. Louis Drawing on perceptions, behaviors, and experiences of students at an urban high school—both high and low achievers—this timely book demonstrates how urban youth can be meaningfully engaged in learning mathematics. The author presents a “potential” model rather than a “deficit” model, complete with teaching strategies and best practices for teaching mathematics in innovative and relevant ways. This resource offers practical insights for pre- and inservice teachers and administrators on facilitating positive interactions, engagement, and achievement in mathematics, particularly with Black and Latino/a students. It also examines societal perceptions of urban students and how these affect teaching and learning, policies, and mathematics outcomes. Based on extensive research in urban high schools, the author identifies three key principles that must be understood for teachers and students to build strong mathematics communities. They are: Urban students want to be a part of academically challenging environments. Teachers and administrators can inadvertently create obstacles that thwart the mathematics potential of students. Educators can build on existing student networks to create collaborative and non-hierarchical communities that support mathematics achievement. Erica N. Walker is Associate Professor of Mathematics Education at Teachers College, Columbia University.