Teaching Mathematics in Colleges and Universities

Teaching Mathematics in Colleges and Universities

PDF Teaching Mathematics in Colleges and Universities Download

  • Author: Solomon Friedberg
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821828755
  • Category : Education
  • Languages : en
  • Pages : 180

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

Teaching Mathematics in Colleges and Universities

PDF Teaching Mathematics in Colleges and Universities Download

  • Author: Solomon Friedberg
  • Publisher:
  • ISBN: 9781470417567
  • Category : Mathematics
  • Languages : en
  • Pages : 67

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

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

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

  • Author: Solomon Friedberg
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821828236
  • Category : Education
  • Languages : en
  • Pages : 92

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

Windows on Teaching Math

PDF Windows on Teaching Math Download

  • Author: Katherine Klippert Merseth
  • Publisher: Teachers College Press
  • ISBN: 0807742783
  • Category : Education
  • Languages : en
  • Pages : 113

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.


Teaching Math to Multilingual Students, Grades K-8

Teaching Math to Multilingual Students, Grades K-8

PDF Teaching Math to Multilingual Students, Grades K-8 Download

  • Author: Kathryn B. Chval
  • Publisher: Corwin
  • ISBN: 1071810812
  • Category : Education
  • Languages : en
  • Pages : 249

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.


Mathematics and Teaching

Mathematics and Teaching

PDF Mathematics and Teaching Download

  • Author: Michele D. Crockett
  • Publisher: Routledge
  • ISBN: 1135705127
  • Category : Education
  • Languages : en
  • Pages : 144

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

Case Studies in Science Education

PDF Case Studies in Science Education Download

  • Author: University of Illinois at Urbana-Champaign. Center for Instructional Research and Curriculum Evaluation
  • Publisher:
  • ISBN:
  • Category : Science
  • Languages : en
  • Pages : 666


Making the Connection

Making the Connection

PDF Making the Connection Download

  • Author: Marilyn Paula Carlson
  • Publisher: MAA
  • ISBN: 9780883851838
  • Category : Mathematics
  • Languages : en
  • Pages : 340

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.


Best Practices for Teaching Mathematics

Best Practices for Teaching Mathematics

PDF Best Practices for Teaching Mathematics Download

  • Author: Randi Stone
  • Publisher: Corwin Press
  • ISBN: 145229688X
  • Category : Education
  • Languages : en
  • Pages : 105

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.


Enhancing University Mathematics

Enhancing University Mathematics

PDF Enhancing University Mathematics Download

  • Author: Ki-hyŏng Ko
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821841945
  • Category : Computers
  • Languages : en
  • Pages : 244

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.