The Teaching and Learning of Mathematics at University Level: An ICMI Study (New ICMI Study Series) By Derek Holton
Publisher: Springer
Number Of Pages: 568
Publication Date: 2001-10-01
ISBN-10 / ASIN: 0792371917
ISBN-13 / EAN: 9780792371915
Binding: Hardcover
Product Description:
This book arose from the ICMI Study into the teaching and learning of mathematics at university level that began with a conference in Singapore in 1998. The book looks at tertiary mathematics and its teaching from a number of aspects including practice, research, mathematics and other disciplines, technology, assessment, and teacher education. Over 50 authors, all international experts in their field, combined to produce a text that contains the latest in thinking and the best in practice. It therefore provides in one book 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.
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.
Amongst Mathematicians: Teaching and Learning Mathematics at University Level (Mathematics Teacher Education) By Elena Nardi
Publisher: Springer
Number Of Pages: 341
Publication Date: 2007-11-16
ISBN-10 / ASIN: 0387371419
ISBN-13 / EAN: 9780387371412
Binding: Hardcover
Product Description:
Amongst Mathematicians offers a unique perspective on the ways in which mathematicians perceive their students' learning, teach and reflect on their teaching practice; also on how they perceive the often fragile relationship between the communities of mathematics and mathematics education.
Elena Nardi employs two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. While personas are created, the facts incorporated into their stories are based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work. This book demonstrates the pedagogical potential that lies in collaborative undergraduate mathematics education research that engages mathematicians, researchers and students. Nardi also addresses the need for action in undergraduate mathematics education and offers a discourse for reform through demonstrating the feasibility and potential of collaboration between mathematicians and mathematics education researchers.
Amongst Mathematicians is of interest to both the mathematics and mathematics education communities including university teachers, teacher educators, undergraduate and graduate students, and researchers.
Developing Thinking in Algebra (Published in association with The Open University) By John Mason, Alan Graham, Sue Johnston-Wilder
Publisher: Paul Chapman Educational Publishing
Number Of Pages: 336
Publication Date: 2005-04-23
ISBN-10 / ASIN: 1412911710
ISBN-13 / EAN: 9781412911719
Binding: Paperback
Product Description:
‘Mason, Graham, and Johnston-Wilder have admirably succeeded in casting most of school algebra in terms of generalisation activity? not just the typical numerical and geometric pattern-based work, but also solving quadratics and simultaneous equations, graphing equations, and factoring. The authors raise our awareness of the scope of generalization and of the power of using this as a lens not just for algebra but for all of mathematics!’ - Professor Carolyn Kieran, Departement de Mathematiques, Universite du Quebec a Montreal
Algebra has always been a watershed for pupils learning mathematics. This book will enable you to think about yourself as a learner of algebra in a new way, and thus to teach algebra more successfully, overcoming difficulties and building upon skills that all learners have.
This book is based on teaching principles developed by the team at The Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning algebra. Written for teachers working with pupils aged 7-16, it includes numerous tasks ready for adaption for your teaching and discusses principles that teachers have found useful in preparing and conducting lessons.
This is a 'must have' resource for all teachers of mathematics, primary or secondary, and their support staff. Anyone who wishes to create an understanding and enthusiasm for algebra, based upon firm research and effective practice, will enjoy this book.
This book is the course reader for The Open University Course ME625 Developing Algebraic Thinking
Developing Students Statistical Reasoning: Connecting Research and Teaching Practice By Joan B. Garfield, Dani Ben-Zvi
Publisher: Springer
Number Of Pages: 420
Publication Date: 2008-09-23
ISBN-10 / ASIN: 1402083823
ISBN-13 / EAN: 9781402083822
Binding: Hardcover
Product Description:
Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in high school, and introductory statistics courses are required in college. However, increasing the amount of instruction is not sufficient to prepare statistically literate citizens. A major change is needed in how statistics is taught. To bring about this change, three dimensions of teacher knowledge need to be addressed: their knowledge of statistical content, their pedagogical knowledge, and their statistical-pedagogical knowledge, i.e., their specific knowledge about how to teach statistics. This book is written for mathematics and statistics educators and researchers. It summarizes the research and highlights the important concepts for teachers to emphasize, and shows the interrelationships among concepts. It makes specific suggestions regarding how to build classroom activities, integrate technological tools, and assess students learning.
This is a unique book. While providing a wealth of examples through lessons and data sets, it is also the best attempt by members of our profession to integrate suggestions from research findings with statistics concepts and pedagogy. The book s message about the importance of listening to research is loud and clear, as is its message about alternative ways of teaching statistics. This book will impact instructors, giving them pause to consider: "Is what I m doing now really the best thing for my students? What could I do better?"
J. Michael Shaughnessy, Professor, Dept of Mathematical Sciences, Portland State University, USA
This is a much-needed text for linking research and practice in teaching statistics. The authors have provided a comprehensive overview of the current state-of-the-art in statistics education research. The insights they have gleaned from the literature should be tremendously helpful for those involved in teaching and researching introductory courses.
Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA
On the Teaching of Linear Algebra (Mathematics Education Library) By J.-L. Dorier
Publisher: Springer
Number Of Pages: 312
Publication Date: 2001-01-01
ISBN-10 / ASIN: 0792365399
ISBN-13 / EAN: 9780792365396
Binding: Hardcover
Product Description:
This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It aims at giving to university teachers in charge of linear algebra courses a wide range of information from works including theoretical and experimental issues. These works try to better understand the meaning of linear algebra in an epistemological approach, as well as the constraints and the difficulties in its teaching and learning. They also present teaching designs with the analysis of their experimentation. However, it would be vain to expect a miraculous way for teaching linear algebra, rather elements of reflection are given to the reader with keys for his or her own experimentation. Through the variety of the works presented, this book also discusses theoretical issues which are consistent for all research in maths education at tertiary level.
Developing Thinking in Statistics (Published in association with The Open University) By Alan Graham
Publisher: Paul Chapman Educational Publishing
Number Of Pages: 288
Publication Date: 2006-03-03
ISBN-10 / ASIN: 1412911672
ISBN-13 / EAN: 9781412911672
Binding: Paperback
Product Description:
'This book should prove to be an important addition to the relatively few publications that exist on statistical thinking. It very nicely encourages the reader to take an active learning approach through simultaneously promoting pedagogy with knowledge and skills enhancement in statistics. Understanding what the subject is for and what it can do are crucial in statistical education - by getting the reader to think statistically Mr Graham has provided us with a very readable book that helps to dispel the poor reputation that statistics has acquired over many years' - Professor Neville Davies, Director, Royal Statistical Society Centre for Statistical Education, Nottingham Trent University
Statistics is a key area of the school mathematics curriculum where maths and the real world meet. Although potentially a subject where teaching can be motivating and relevant to everyday concerns, it is often seen as boring and involving largely mechanical calculations.
This book will enable teachers and others interested in statistical thinking to become excited and inspired by the big ideas of statistics and, in turn, teach them enthusiastically learners.
Designed to heighten awareness of statistical ideas, the book explores key themes within statistics using ideas developed by the influential team at The Open University's Centre for Mathematics Education. Themes include:
· Measurement
· Variation
· Randomness
· Uncertainty
Arranged in an accessible task-based format, this is an essential text for all secondary maths teachers and students of maths education. It is a comprehensive book that will illuminate and inspire interest in the subject, based on innovative use of ICT, engaging narrative, firm research and good practice.
Developing Thinking in Statistics is a set book on the Open University Course ME626 Developing Statistical Thinking, part of the Graduate Diploma in Mathematics Education. (20060623)
University Science and Mathematics Education in Transition By Ole Skovsmose, Paola Valero, Ole Ravn Christensen
Publisher: Springer
Number Of Pages: 400
Publication Date: 2008-11-14
ISBN-10 / ASIN: 0387098283
ISBN-13 / EAN: 9780387098289
Binding: Hardcover
Product Description:
Traditionally, educational studies in mathematics education and science education have looked at change from within the scientific disciplines and in the closed context of the classroom. Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are dependent on the network of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today.
University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition of science and mathematics education in the current information society.
Developing Thinking in Geometry (Published in association with The Open University) By Sue Johnston-Wilder, John Mason
Publisher: Paul Chapman Educational Publishing
Number Of Pages: 288
Publication Date: 2005-09-14
ISBN-10 / ASIN: 1412911699
ISBN-13 / EAN: 9781412911696
Binding: Paperback
Product Description:
"All readers can use this book to reignite their fascination with mathematics. Fosters not only a curiosity about geometry itself but crucially focuses on how learners can actively engage in thinking about geometry and its central key ideas."
-Sylvia Johnson, Professor, Sheffield Hallam University "Exudes activity and interactivity. A book for learning geometry, learning to think more deeply about geometry, and also about its teaching and learning." -David Pimm, Professor, University of Alberta Developing Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. Discussing key teaching principles, the book and its accompanying interactive CD-ROM include many activities encouraging readers to extend their own learning, and teaching practices. Drawing on innovative approaches for teaching and learning geometry developed by the Open University's Centre for Mathematics Education, this resource is constructed around the following key themes:
Success with Mathematics (Routledge Study Guides) By Heather Cooke
Publisher: Routledge
Number Of Pages: 256
Publication Date: 2002-12-23
ISBN-10 / ASIN: 0415298601
ISBN-13 / EAN: 9780415298605
Binding: Hardcover
Product Description:
Many students find the leap between school and university level mathematics to be significantly greater than they expected. Success with Mathematics has been devised and written especially in order to help students bridge that gap. It offers clear, practical guidance from experienced teachers of mathematics in higher education on such key issues as how to study; using calculators; learning by doing; studying with technology; preparing for examinations and much, much more.
Using Assessment To Reshape Mathematics Teaching: A Casebook for Teachers and Teacher Educators, Curriculum and Staff Development Specialists (Studies in Mathematical Thinking and Learning Series) By Sandra K. Wilcox, Perry E. Lanier
Publisher: Lawrence Erlbaum
Number Of Pages: 328
Publication Date: 2000-03-15
ISBN-10 / ASIN: 0805829628
ISBN-13 / EAN: 9780805829624
Binding: Paperback
Product Description:
Casebook & video on the use of assessment as an ongoing activity in the classroom to help teachers reshape their instructional practice.
Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition By George Polya
Publisher: Wiley
Number Of Pages: 432
Publication Date: 1981-04-10
ISBN-10 / ASIN: 0471089753
ISBN-13 / EAN: 9780471089759
Binding: Paperback
Product Description:
Combining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problems in a clear, step-by-step progression. It shows how to think about a problem, how to look at special cases, and how to devise an effective strategy to attack and solve the problem. Covers arithemetic, algebra, geometry, and some elementary combinatorics. Includes an updated bibliography and newly expanded index.