Fundamentals Of Teaching Mathematics At University Level

Author : B Baumslag
Publisher : World Scientific
Page : 260 pages
File Size : 42,6 Mb
Release : 2000-02-28
Category : Mathematics
ISBN : 9781783261772

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Fundamentals of Teaching Mathematics at University Level by B Baumslag Pdf

This unique book presents a personal and global approach to teaching mathematics at university level. It is impressively broad in its scope, and thought-provoking in its advice. The author writes with a love of his subject and the benefit of a long and varied career. He compares and contrasts various educational systems and philosophies. Furthermore, by constantly drawing on his own experiences and those of his colleagues, he offers useful suggestions on how teachers can respond to the problems they face. This book will interest educationalists, policy advisers, administrators, lecturers, and instructors of lecturers. Contents:Education Systems in BriefThe Expansion of EducationAimsUniversities and GovernmentTeachingStudy SkillsRules of TeachingOrganisation and ExaminationsPlanningMethods of Teaching and EquipmentLecturer's ApproachSome Practical PointsAssessment of Teaching Readership: Academics and lecturers involved in mathematics teaching at higher education level. Keywords:Mathematics Education;University Mathematics;EducationReviews:“The book contains many sensible ideas on how teaching and learning should be organised. In particular the author emphasizes that to improve the quality of teaching the whole department should work together and that programmes should be carefully planned … this book is an excellent overview of mathematics teaching at university level and I would recommend it to anyone interested in pedagogical issues.”

Author : Derek Holton
Publisher : Springer Science & Business Media
Page : 559 pages
File Size : 48,9 Mb
Release : 2006-04-11
Category : Education
ISBN : 9780306472312

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The Teaching and Learning of Mathematics at University Level by Derek Holton Pdf

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).

Author : Derek Holton
Publisher : Unknown
Page : 576 pages
File Size : 53,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401739161

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The Teaching and Learning of Mathematics at University Level by Derek Holton Pdf

Author : Dianne Siemon,Elizabeth Warren,Kim Beswick,Rhonda Faragher,Jodie Miller,Marj Horne,Dan Jazby,Margarita Breed
Publisher : Unknown
Page : 128 pages
File Size : 54,9 Mb
Release : 2020-10-15
Category : Electronic
ISBN : 0190311533

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Teaching Mathematics by Dianne Siemon,Elizabeth Warren,Kim Beswick,Rhonda Faragher,Jodie Miller,Marj Horne,Dan Jazby,Margarita Breed Pdf

At the forefront of research in mathematics education, this new edition of Teaching Mathematics: Foundations to Middle Years continues to provide knowledge to future teachers of mathematics with the information and resources they need to help them prepare for the classroom. Following an evidence-based approach focused on identifying and reflecting on student reasoning, pre-service teachers are encouraged to develop a deep understanding of the big ideas in mathematics and the connections between them. Now in its third edition, this text has been revised extensively, with a new structure that points more directly to the learning progressions involved in developing a deep understanding of mathematics from the early to middle years of schooling. Interspersed throughout the text are activities and thought-provoking teaching scenarios for pre-service teachers to explore, whether individually, in groups or in the classroom. The authors' detailed knowledge of mathematics and mathematics teaching combines effectively with the book's teaching and learning features to help pre-service teachers develop the deep understanding of mathematics and the teaching and learning of mathematics needed to become confident, enthusiastic teachers of mathematics.

Author : Suzanne Kelton
Publisher : Routledge
Page : 219 pages
File Size : 41,9 Mb
Release : 2020-11-29
Category : Education
ISBN : 9781000282887

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A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom by Suzanne Kelton Pdf

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.

Author : Elena Nardi
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 49,5 Mb
Release : 2008
Category : Education
ISBN : 9780387371412

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Amongst Mathematicians by Elena Nardi Pdf

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.

Author : Colin McGregor,Jonathan Nimmo,Wilson Stothers
Publisher : Elsevier
Page : 564 pages
File Size : 48,5 Mb
Release : 2010-10-20
Category : Mathematics
ISBN : 9780857092243

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Fundamentals of University Mathematics by Colin McGregor,Jonathan Nimmo,Wilson Stothers Pdf

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout

Author : Denny Burzynski,Wade Ellis
Publisher : Unknown
Page : 0 pages
File Size : 50,8 Mb
Release : 2008
Category : Mathematics
ISBN : OCLC:1409442674

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Fundamentals of Mathematics by Denny Burzynski,Wade Ellis Pdf

Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.

Author : Tony Gardiner
Publisher : Open Book Publishers
Page : 334 pages
File Size : 45,5 Mb
Release : 2016-02-08
Category : Mathematics
ISBN : 9781783741403

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Teaching Mathematics at Secondary Level by Tony Gardiner Pdf

Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

Author : J H Mason
Publisher : Elsevier
Page : 230 pages
File Size : 47,6 Mb
Release : 2002-03-01
Category : Mathematics
ISBN : 9780857099648

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Mathematics Teaching Practice by J H Mason Pdf

Mathematics; Clarifying the distinction between mathematical research and mathematics education, this book offers hundreds of suggestions for making small and medium sized changes for lectures, tutorials, task design, or problem solving. Here is guidance and inspiration for effective mathematics teaching in a modern technological environment, directed to teachers who are unhappy with results or experience, or those now in teacher training or new to the profession. Commencing with a range of student behaviours and attitudes that have struck and amazed tutors and lecturers, Professor Mason offers a wealth of partial diagnoses, followed by specific advice and suggestions for remedial actions. Offers suggestions for making small and medium-sized changes for lectures, tutorials, task design, or problem solving Provides guidance and inspiration for effective mathematics teaching in a modern technological environment Offers a wealth of partial diagnoses, followed by specific advice and suggestions for remedial actions

Author : Liping Ma
Publisher : Routledge
Page : 329 pages
File Size : 51,7 Mb
Release : 2010-03-26
Category : Education
ISBN : 9781135149499

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Knowing and Teaching Elementary Mathematics by Liping Ma Pdf

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.

Author : Heather Fry,Steve Ketteridge,Stephanie Marshall
Publisher : Routledge
Page : 466 pages
File Size : 48,7 Mb
Release : 2003-12-16
Category : Education
ISBN : 9781135724931

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A Handbook for Teaching and Learning in Higher Education by Heather Fry,Steve Ketteridge,Stephanie Marshall Pdf

First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Author : Bill Cox
Publisher : Unknown
Page : 241 pages
File Size : 41,9 Mb
Release : 2011
Category : Mathematics
ISBN : 0955591481

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Teaching Mathematics in Higher Education by Bill Cox Pdf

Author : Dianne Siemon,Kim Beswick,Kathy Brady,Julie Clark,Rhonda Faragher,Elizabeth Warren
Publisher : Unknown
Page : 800 pages
File Size : 41,9 Mb
Release : 2015-11-06
Category : Mathematical ability
ISBN : 0195523822

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Teaching Mathematics by Dianne Siemon,Kim Beswick,Kathy Brady,Julie Clark,Rhonda Faragher,Elizabeth Warren Pdf

Teaching Mathematics: Foundations to Middle Years connects readers to the bigger picture of mathematics. This comprehensive textbook designed to help pre-service teachers gradually build mathematical knowledge and become confident about teaching the subject to a range of age groups, in diverselearning environments. Spanning Foundations to 9 mathematics curriculum, the book's unique structure explores the different stages of how children learn maths and how to teach maths, before drilling down to specific strands and skills by age group.The second edition is rich with student work examples, practical activities and a wealth of teaching and learning tools to ensure pre-service and practising educators feel positive about mathematics and their role in teaching it.

Author : Richard A. Lesh,Eric Hamilton,James J. Kaput
Publisher : Routledge
Page : 437 pages
File Size : 54,7 Mb
Release : 2020-10-07
Category : Education
ISBN : 9781000149500

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Foundations for the Future in Mathematics Education by Richard A. Lesh,Eric Hamilton,James J. Kaput Pdf

The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.