Author: Solomon Friedberg
Publisher: American Mathematical Soc.
ISBN: 9780821828755
Category : Education
Languages : en
Pages : 180
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Book Description
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.
Author: Solomon Friedberg
Publisher:
ISBN: 9781470417567
Category : Mathematics
Languages : en
Pages : 67
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Book Description
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.
Author: Solomon Friedberg
Publisher: American Mathematical Soc.
ISBN: 9780821828236
Category : Education
Languages : en
Pages : 92
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Book Description
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.
Author: Katherine Klippert Merseth
Publisher: Teachers College Press
ISBN: 0807742783
Category : Education
Languages : en
Pages : 113
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Book Description
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.
Author: Kathryn B. Chval
Publisher: Corwin
ISBN: 1071810812
Category : Education
Languages : en
Pages : 249
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Book Description
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.
Author: Michele D. Crockett
Publisher: Routledge
ISBN: 1135705127
Category : Education
Languages : en
Pages : 144
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Book Description
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:
Category : Science
Languages : en
Pages : 666
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Book Description
Author: Marilyn Paula Carlson
Publisher: MAA
ISBN: 9780883851838
Category : Mathematics
Languages : en
Pages : 340
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Book Description
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.
Author: Wendy M. Smith
Publisher: American Mathematical Soc.
ISBN: 1470463776
Category : Education
Languages : en
Pages : 348
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Book Description
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?
Author: Derek Holton
Publisher: Springer Science & Business Media
ISBN: 0306472317
Category : Education
Languages : en
Pages : 559
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Book Description
This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).
