Teaching Undergraduate Mathematics

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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.

Teaching Mathematics

Author : Max A. Sobel
Publisher : Allyn & Bacon
ISBN 13 : 9780205292561
Total Pages : 0 pages
Book Rating : 4.2/5 (925 download)

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Book Synopsis Teaching Mathematics by : Max A. Sobel

Download or read book Teaching Mathematics written by Max A. Sobel and published by Allyn & Bacon. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.

Teaching Undergraduate Mathematics

Author : John Appleby
Publisher : World Scientific
ISBN 13 : 1783262303
Total Pages : 278 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Teaching Undergraduate Mathematics by : John Appleby

Download or read book Teaching Undergraduate Mathematics written by John Appleby and published by World Scientific. This book was released on 1998-06-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research into the teaching and learning of mathematics in higher education is in its infancy as a recognised academic field, and little has been published to inform and assist those teaching the subject. However, interest is growing in teaching quality, in the training of teaching assistants, and in staff development. This book makes available a wide selection of material on mathematics teaching and learning — purpose, curriculum design, teaching methodology and specific material — produced at a series of working conferences. It will be useful to all teachers and tutors of mathematics in higher education.

A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom

Author : Suzanne Kelton
Publisher : Routledge
ISBN 13 : 1000282880
Total Pages : 219 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom by : Suzanne Kelton

Download or read book A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom written by Suzanne Kelton and published by Routledge. This book was released on 2020-11-29 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical, engaging book explores the fundamentals of pedagogy and the unique challenges of teaching undergraduate mathematics not commonly addressed in most education literature. Professor and mathematician, Suzanne Kelton offers a straightforward framework for new faculty and graduate students to establish their individual preferences for course policy and content exposition, while alerting them to potential pitfalls. The book discusses the running of day-to-day class meetings and offers specific strategies to improve learning and retention, as well as concrete examples and effective tools for class discussion that draw from a variety of commonly taught undergraduate mathematics courses. Kelton also offers readers a structured approach to evaluating and honing their own teaching skills, as well as utilizing peer and student evaluations. Offering an engaging and clearly written approach designed specifically for mathematicians, A Beginner’s Guide to Teaching Mathematics in the Undergraduate Classroom offers an artful introduction to teaching undergraduate mathematics in universities and community colleges. This text will be useful for new instructors, faculty, and graduate teaching assistants alike.

The Teaching and Learning of Mathematics at University Level

Author : Derek Holton
Publisher : Springer Science & Business Media
ISBN 13 : 0306472317
Total Pages : 559 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis The Teaching and Learning of Mathematics at University Level by : Derek Holton

Download or read book The Teaching and Learning of Mathematics at University Level written by Derek Holton and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

How to Teach Mathematics, Second Edition

Author : Steven George Krantz
Publisher : American Mathematical Soc.
ISBN 13 : 0821813986
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis How to Teach Mathematics, Second Edition by : Steven George Krantz

Download or read book How to Teach Mathematics, Second Edition written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1999 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.

Knowing and Teaching Elementary Mathematics

Author : Liping Ma
Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 290 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Directions For Mathematics Research Experience For Undergraduates

Author : Rubinstein Yanir A
Publisher : World Scientific
ISBN 13 : 9814630330
Total Pages : 252 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Directions For Mathematics Research Experience For Undergraduates by : Rubinstein Yanir A

Download or read book Directions For Mathematics Research Experience For Undergraduates written by Rubinstein Yanir A and published by World Scientific. This book was released on 2015-09-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.”This was the premise of the conference held at Mt. Holyoke College during 21-22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010-2012).This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.

Teaching and Learning Mathematics Online

Author : James P. Howard, II
Publisher : CRC Press
ISBN 13 : 1351245570
Total Pages : 439 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Teaching and Learning Mathematics Online by : James P. Howard, II

Download or read book Teaching and Learning Mathematics Online written by James P. Howard, II and published by CRC Press. This book was released on 2020-05-10 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Moving Beyond Myths

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309044898
Total Pages : 76 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Moving Beyond Myths by : National Research Council

Download or read book Moving Beyond Myths written by National Research Council and published by National Academies Press. This book was released on 1991-02-01 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the next decade, the mathematical community and the nation's colleges and unversities must restructure fundamentally the culture, content, and context of undergraduate mathematics. Acknowledging the weaknesses in the present college mathematics curriculum and the ways in which it is taught, this book cites exemplary programs that point the way toward achieving the same world-wide preeminence for mathematics education that the United States enjoys in mathematical research. Moving Beyond Myths sets forth ambitious goals for collegiate mathematics by the year 2000 and provides a sweeping plan of action to accomplish them. It calls on mathematics faculty, their departments, their professional societies, colleges and universities, and government agencies to do their parts to implement the plan, help the public move beyond commonly held myths about mathematics, and bring about a revitalization of undergraduate mathematics.

Research on Teaching and Learning Mathematics at the Tertiary Level

Author : Irene Biza
Publisher : Springer
ISBN 13 : 3319418149
Total Pages : 32 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Research on Teaching and Learning Mathematics at the Tertiary Level by : Irene Biza

Download or read book Research on Teaching and Learning Mathematics at the Tertiary Level written by Irene Biza and published by Springer. This book was released on 2016-07-01 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.

Teaching Secondary Mathematics

Author : David Rock
Publisher : Taylor & Francis
ISBN 13 : 1003830048
Total Pages : 580 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Teaching Secondary Mathematics by : David Rock

Download or read book Teaching Secondary Mathematics written by David Rock and published by Taylor & Francis. This book was released on 2024-02-15 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solidly grounded in up-to-date research, theory, and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence. Each chapter features tried-and-tested pedagogical techniques, problem-solving challenges, discussion points, activities, mathematical challenges, and student-life-based applications that will encourage students to think and do. New to the fifth edition: A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligence A new chapter on equity, shame, and anxiety in the mathematics classroom Connections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and Standards Problem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions A fresh interior design to better highlight pedagogical elements and key features A completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources.

Teaching Undergraduate Science

Author : Linda C. Hodges
Publisher : Taylor & Francis
ISBN 13 : 1000980340
Total Pages : 153 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Teaching Undergraduate Science by : Linda C. Hodges

Download or read book Teaching Undergraduate Science written by Linda C. Hodges and published by Taylor & Francis. This book was released on 2023-07-03 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for all science or engineering faculty who have ever found themselves baffled and frustrated by their undergraduate students’ lack of engagement and learning. The author, an experienced scientist, faculty member, and educational consultant, addresses these issues with the knowledge of faculty interests, constraints, and day-to-day concerns in mind. Drawing from the research on learning, she offers faculty new ways to think about the struggles their science students face. She then provides a range of evidence-based teaching strategies that can make the time faculty spend in the classroom more productive and satisfying.Linda Hodges reviews the various learning problems endemic to teaching science, explains why they are so common and persistent, and presents a digest of key ideas and strategies to address them, based on the research she has undertaken into the literature on the cognitive sciences and education. Recognizing that faculty have different views about teaching, different comfort levels with alternative teaching approaches, and are often pressed for time, Linda Hodges takes these constraints into account by first offering a framework for thinking purposefully about course design and teaching choices, and then providing a range of strategies to address very specific teaching barriers – whether it be students’ motivation, engagement in class, ability to problem solve, their reading comprehension, or laboratory, research or writing skills.Except for the first and last chapters, the other chapters in this book stand on their own (i.e., can be read in any order) and address a specific challenge students have in learning and doing science. Each chapter summarizes the research explaining why students struggle and concludes by offering several teaching options categorized by how easy or difficult they are to implement. Some, for example, can work in a large lecture class without a great expenditure of time; others may require more preparation and a more adventurous approach to teaching. Each strategy is accompanied by a table categorizing its likely impact, how much time it will take in class or out, and how difficult it will be to implement.Like scientific research, teaching works best when faculty start with a goal in mind, plan an approach building on the literature, use well-tested methodologies, and analyze results for future trials. Linda Hodges’ message is that with such intentional thought and a bit of effort faculty can succeed in helping many more students gain exciting new skills and abilities, whether those students are potential scientists or physicians or entrepreneurs. Her book serves as a mini compendium of current research as well as a protocol manual: a readily accessible guide to the literature, the best practices known to date, and a framework for thinking about teaching.

Tactile Learning Activities in Mathematics

Author : Julie Barnes
Publisher : American Mathematical Soc.
ISBN 13 : 1470448017
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tactile Learning Activities in Mathematics by : Julie Barnes

Download or read book Tactile Learning Activities in Mathematics written by Julie Barnes and published by American Mathematical Soc.. This book was released on 2018-08-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Q: What do feather boas, cookies, and paper shredders have in common? A: They are all ingredients that have the potential to help your undergraduate students understand a variety of mathematical concepts. In this book, 43 faculty from a wide range of institutional settings share a total of 64 hands-on activities that allow students to physically engage with mathematical ideas ranging from the basics of precalculus to special topics appropriate for upper-level courses. Each learning activity is presented in an easy-to-read recipe format that includes a list of supplies; a narrative briefly describing the reasons, logistics, and helpful hints for running the activity; and a page that can be used as a handout in class. Purchase of the book also includes access to electronic printable versions of the handouts. With so many activities, it might be hard to decide where to start. For that reason, there are four indices to help the reader navigate this book: a concept index, a course index, an [Author]; index, and a main ingredient index. In addition to providing activities for precalculus, calculus, commonly required mathematics courses for majors, and more specialized upper-level electives, there is also a section describing how to modify many of the activities to fit into a liberal arts mathematics class. Whether you are new to using hands-on activities in class or are more experienced, the [Author];s hope that this book will encourage and inspire you to explore the possibilities of using more hands-on activities in your classes. Bon appetit!

Mathematics Education Research: A Guide for the Research Mathematician

Author : Curtis C. McKnight
Publisher : American Mathematical Soc.
ISBN 13 : 0821820168
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics Education Research: A Guide for the Research Mathematician by : Curtis C. McKnight

Download or read book Mathematics Education Research: A Guide for the Research Mathematician written by Curtis C. McKnight and published by American Mathematical Soc.. This book was released on 2000 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education research in undergraduate mathematics has increased significantly in the last decade and shows no signs of abating in the near future. Thus far, this research has often been associated with innovations in curriculum such as calculus reform, statistics education, and the use of computational and graphing technology in instruction. Mathematics education research, carefully conducted, is something far more fundamental and widely useful than might be implied by its use by the advocates of innovation in undergraduate mathematics education. Most simply, mathematics education research is inquiry by carefully developed research methods aimed at providing evidence about the nature and relationships of many mathematics learning and teaching phenomena. It seeks to clarify the phenomena, illuminate them, explain how they are related to other phenomena, and explain how this may be related to undergraduate mathematics course organization and teaching. This book-the collaborative effort of a research mathematician, mathematics education researchers who work in a research mathematics department and a professional librarian-introduces research mathematicians to education research. The work presents a non-jargon introduction for educational research, surveys the more commonly used research methods, along with their rationales and assumptions, and provides background and careful discussions to help research mathematicians read or listen to education research more critically. This guide is of practical interest to university-based research mathematicians, as it introduces the methodology of quantitative and qualitative research in education; provides critical guidelines for assessing the reliability and validity of mathematics education research; and explains how to use online database resources to locate education research. The book will also be valuable to graduate students in mathematics who are planning academic careers, and to mathematics department chairs and their deans.

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.

A Source Book for College Mathematics Teaching

Author : Alan H. Schoenfeld
Publisher : MAA Press
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Source Book for College Mathematics Teaching by : Alan H. Schoenfeld

Download or read book A Source Book for College Mathematics Teaching written by Alan H. Schoenfeld and published by MAA Press. This book was released on 1990 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the means for improving instruction, and describes the broad spectrum of mathematical skills and perspective students should develop. The curriculum recommendations section shows where to look for reports and course resources that will help in teaching. Extensive descriptions of advising programmes that work are included, along with suggestions for teaching that describe a wide range of instructional techniques.