Teaching Mathematics In Colleges And Universities Case Studies For Todays Classroom

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

Author : Solomon Friedberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821828236
Total Pages : 92 pages
Book Rating : 4.8/5 (282 download)

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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.

Teaching Mathematics in Colleges and Universities

Author : Solomon Friedberg
Publisher :
ISBN 13 : 9781470417567
Total Pages : 67 pages
Book Rating : 4.4/5 (175 download)

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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

Author : Solomon Friedberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821828755
Total Pages : 180 pages
Book Rating : 4.8/5 (287 download)

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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.

Teaching Math to Multilingual Students, Grades K-8

Author : Kathryn B. Chval
Publisher : Corwin Press
ISBN 13 : 1071810839
Total Pages : 317 pages
Book Rating : 4.0/5 (718 download)

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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 Press. This book was released on 2021-01-07 with total page 317 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.

Making the Connection

Author : Marilyn Paula Carlson
Publisher : MAA
ISBN 13 : 9780883851838
Total Pages : 340 pages
Book Rating : 4.8/5 (518 download)

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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.

Enhancing University Mathematics

Author : Ki-hyŏng Ko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841945
Total Pages : 244 pages
Book Rating : 4.8/5 (419 download)

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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.

The Work of Mathematics Teacher Educators

Author : Kathleen Lynch-Davis
Publisher : IAP
ISBN 13 : 1623969468
Total Pages : 172 pages
Book Rating : 4.6/5 (239 download)

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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.

Research in Collegiate Mathematics Education VII

Author : Fernando Hitt
Publisher : American Mathematical Soc.
ISBN 13 : 0821849964
Total Pages : 277 pages
Book Rating : 4.8/5 (218 download)

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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.

Mathematics Matters in Education

Author : Yeping Li
Publisher : Springer
ISBN 13 : 3319614347
Total Pages : 298 pages
Book Rating : 4.3/5 (196 download)

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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 298 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.

The Essential Department Chair

Author : Jeffrey L. Buller
Publisher : John Wiley & Sons
ISBN 13 : 1118145690
Total Pages : 496 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis The Essential Department Chair by : Jeffrey L. Buller

Download or read book The Essential Department Chair written by Jeffrey L. Buller and published by John Wiley & Sons. This book was released on 2011-12-01 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE ESSENTIAL DEPARTMENT CHAIR This second edition of the informative and influential The Essential Department Chair offers academic chairs and department heads the information they need to excel in their roles. This book is about the "how" of academic administration: for instance, how do you cultivate a potential donor for much-needed departmental resources? How do you persuade your department members to work together more harmoniously? How do you keep the people who report to you motivated and capable of seeing the big picture? Thoroughly revised, updated, and expanded, this classic resource covers a broad spectrum of timely topics and is now truly more than a guide it's a much-needed desk reference that tells you "everything you need to know to be a department chair." The Essential Department Chair contains information on topics such as essentials of creating a strategic plan, developing and overseeing a budget, key elements of fundraising, preparing for the role of chair, meeting the challenges of mentoring to increase productivity, and creating a more collegial atmosphere. The book also explores the chair's role in the search process, shows how to conduct a successful interview and what to do when it's time to let someone go. And the author includes suggestions for the best practices to adopt when doing an evaluation or assessment. The Essential Department Chair, Second Edition, contains a wealth of new, realistic case studies to equip leaders in this pivotal position to excel in departmental and institutional life.

Amongst Mathematicians

Author : Elena Nardi
Publisher : Springer Science & Business Media
ISBN 13 : 0387371419
Total Pages : 349 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Amongst Mathematicians by : Elena Nardi

Download or read book Amongst Mathematicians written by Elena Nardi and published by Springer Science & Business Media. This book was released on 2008 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.

Research in Collegiate Mathematics Education VI

Author : Fernando Hitt
Publisher : American Mathematical Soc.
ISBN 13 : 0821842439
Total Pages : 265 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Research in Collegiate Mathematics Education VI by : Fernando Hitt

Download or read book Research in Collegiate Mathematics Education VI written by Fernando Hitt and published by American Mathematical Soc.. This book was released on 2006 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the postsecondary level. The articles advance our understanding of collegiate mathematics education while being readable by a wide audience of mathematicians interested in issues affecting their own students. This is a collection of useful and informative research regarding the ways our students think about and learn mathematics.The volume opens with studies on students' experiences with calculus reform and on the effects of concept-based calculus instruction. The next study uses technology and the van Hiele framework to help students construct concept images of sequential convergence. The volume continues with studies ondeveloping and assessing specific competencies in real analysis, on introductory complex analysis, and on using geometry in teaching and learning linear algebra. It closes with a study on the processes used in proof construction and another on the transition to graduate studies 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 canuse. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

Research in Collegiate Mathematics Education

Author : Annie Selden
Publisher : American Mathematical Soc.
ISBN 13 : 0821833022
Total Pages : 225 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Research in Collegiate Mathematics Education by : Annie Selden

Download or read book Research in Collegiate Mathematics Education written by Annie Selden and published by American Mathematical Soc.. This book was released on 2003 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Education of Teachers

Author : Conference Board of the Mathematical Sciences
Publisher : American Mathematical Soc.
ISBN 13 : 9780821828991
Total Pages : 164 pages
Book Rating : 4.8/5 (289 download)

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Book Synopsis The Mathematical Education of Teachers by : Conference Board of the Mathematical Sciences

Download or read book The Mathematical Education of Teachers written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning

Author : Wendy M. Smith
Publisher : American Mathematical Soc.
ISBN 13 : 1470463776
Total Pages : 348 pages
Book Rating : 4.4/5 (74 download)

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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?

HK Cheap Eats

Author : Nicole Lade
Publisher : Blacksmith Books
ISBN 13 : 9789628673216
Total Pages : 768 pages
Book Rating : 4.6/5 (732 download)

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Book Synopsis HK Cheap Eats by : Nicole Lade

Download or read book HK Cheap Eats written by Nicole Lade and published by Blacksmith Books. This book was released on 2003-01-01 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hong Kong may be one of the world's most expensive cities - but that doesn't mean you have to spend a lot of money on dining out! Hong Kong Cheap Eats includes: > recommendations and reviews of over 250 good-value restaurants, located territory-wide > useful information about each restaurant, as well as a quick reference guide at the back > handy tips on how and where to eat cheaply > a convenient pocket-sized format for easy carrying Next time you are hungry in Hong Kong but don't want to break the bank, pick up this guide for some independent advice about the best value restaurants this city has to offer.

Peterson's Graduate Programs Programs in Mathematics 2011

Author : Peterson's
Publisher : Peterson's
ISBN 13 : 0768934575
Total Pages : 577 pages
Book Rating : 4.7/5 (689 download)

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Book Synopsis Peterson's Graduate Programs Programs in Mathematics 2011 by : Peterson's

Download or read book Peterson's Graduate Programs Programs in Mathematics 2011 written by Peterson's and published by Peterson's. This book was released on 2011-05-01 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peterson's Graduate Programs in Mathematics contains a wealth of information on colleges and universities that offer graduate work in Applied Mathematics, Applied Statistics, Biomathematics, Biometry, Biostatistics, Computational Sciences, Mathematical and Computational Finance, Mathematics, and Statistics. The institutions listed include those in the United States, Canada, and abroad that are accredited by U.S. accrediting bodies. Up-to-date information, collected through Peterson's Annual Survey of Graduate and Professional Institutions, provides valuable information on degree offerings, professional accreditation, jointly offered degrees, part-time and evening/weekend programs, postbaccalaureate distance degrees, faculty, students, degree requirements, entrance requirements, expenses, financial support, faculty research, and unit head and application contact information. Readers will find helpful links to in-depth descriptions that offer additional detailed information about a specific program or department, faculty members and their research, and much more.In addition, there are valuable articles on financial assistance, the graduate admissions process, advice for international and minority students, and facts about accreditation, with a current list of accrediting agencies.