A Comparison Of Different Methods Of Teaching Mathematics
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Author | : Jürgen Maasz |
Publisher | : Sense Publishers |
Total Pages | : 323 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9077874747 |
Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics. Although our knowledge of the process is more extensive and deeper despite the fragmented nature of research in this area, there is still a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview by addressing some carefully chosen questions on what is going on and what are the main results and questions what are important books or papers if further information is needed.
Author | : Tandi Clausen-May |
Publisher | : SAGE |
Total Pages | : 111 |
Release | : 2005-09-28 |
Genre | : Education |
ISBN | : 1847877869 |
'Tackles an area of the curriculum many teachers lack confidence in.' 'Lots of good starting points'. 'Spans a lot of material and is strong on diverse learning styles.' 'Clear explanation and good visual layour, very innovative in approach.' - Judging Panel for NASEN/TES Book Award 'The book is rich in lively teaching suggestions and in insights into the impact of different forms of explanation' - Debate '[C]arries us away from narrow views of ability and special needs and into the consideration of difference. The author takes us through lively discussions of many aspects of mathematics learning. Each section offers learning and teaching ideas involving visual and kinaesthetic approaches. The book is a compendium of sound ideas rather than a collection of startlingly new approaches. But throughout it has the great strength of being exceptionally clear in its arguments, descriptions and drawings. The design is generally helpful with plenty of illustrations, as befits the book's message. There are handy pages of photocopiable resources. This is a lively and often passionate account of ways of ensuring that multi-sensory approaches infect mathematics learning. As the author says, "pictures in the mind can help all pupils". We might add, "They help all teachers too"' - TES Extra for Special Needs 'If you have found pupils struggling to understand some aspects of mathematics at any age then this book is for you. It is a very readable book that would interest all those who work in classrooms, whether as a teacher or support worker with all ages and abilities, for those who work with older pupils as it gives possible approaches to use with those for whom basic skills are weak or have difficulty in understanding some of the concepts required of GCSE examinations' - Alison Parish, Second in Mathematics Department, Stowmarket High School, Suffolk Read the full review as posted on the Association of Teachers of Mathematics website! 'It is a highly practical book. One strength is the way that it develops a topic from the very basics through to the harder concepts. There are a large number of activities that are 'ready to run' but these really are just a starting point for teachers to begin thinking about teaching topics in a different way, and from these teachers will be able to develop their own approach. Although this book is focusing on pupils who are visual and kinaesthetic learners, the great majority of learners adopt a mixture of learning styles, so this approach will benefit the entire class. Worth a read!' - Maths Coordinator's File 'This excellent and very informative teaching resource is about teaching mathematics to pupils who have learning differences. [It] is very practical and easy to read. A really nice feature is the inclusion of photocopiable resource sheets allowing readers to try out easily the ideas suggested in the book. This resource is highly recommended and will be very suitable for maths teachers in primary and secondary schools, SENCOs and teaching assistants' - British Journal of Special Education 'This book is about making mathematics visible and tangible -- not something that just lies flat on the page. Dipping into it will provide instantly usable suggestions across a variety of topics at different levels: from early number concepts through to fractions and ratios, algebra, aspects of geometry (including angles and circles), and data handling. When you get a chance to read it more thoroughly you will find arguments for using these approaches, consideration of some of the pitfalls to avoid, and inspiration to develop different ways of helping students to achieve deep and connected understandings. For any teacher who wants to provide students with opportunities for visual and kinaesthetic learning in mathematics' - The Australian Association of Mathematics Teachers Inc. 'A very good book, offering teachers, SENCOs and teaching assistants guidelines, strategies and practical activities to access the thought processes of pupils with different learning styles. It has an easy-to-read format giving suggestions, rather than dictat, on the use of "models to think" and is a unique document for those who have input into the furthering of the teaching and learning of mathematics' - Mathematics in School How can you make maths exciting and meaningful for all your pupils? Some pupils find even basic concepts in mathematics difficult to grasp and it can be a challenge to make lessons accessible to all. This book offers practising teachers a range of approaches to making maths clear for struggling students. It looks at the different ways in which maths can be taught so that pupils with different learning styles can be stimulated. Maths is visible and tangible - not something that just lies flat on the page. Included are: - ideas to be used in lessons - suggestions for exciting, visual ways to teach basic concepts - lots of practical advice and guidance. The book shows teachers how to unlock mathematics for all their learners, and it encourages the use of a variety of methods to teach the subject. It provides a valuable resource for maths teachers in both primary and secondary schools, for SENCOs and teaching assistants, and for those delivering initial teacher training or inservice courses. Tandi Clausen-May is an educational researcher responsible for the development of a range of mathematics curriculum and assessment materials. She delivers popular workshops on teaching mathematics around the United Kingdom. She also writes regular articles on mathematics teaching for educational journals and newspapers.
Author | : Liping Ma |
Publisher | : Routledge |
Total Pages | : 290 |
Release | : 2010-03-26 |
Genre | : Education |
ISBN | : 1135149496 |
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 | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 53 |
Release | : 2002-07-31 |
Genre | : Education |
ISBN | : 0309131987 |
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Author | : Linda Pound |
Publisher | : Routledge |
Total Pages | : 185 |
Release | : 2021-09-30 |
Genre | : Education |
ISBN | : 1000457168 |
This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 386 |
Release | : 2000-08-11 |
Genre | : Education |
ISBN | : 0309131979 |
First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.
Author | : Palmer Oliver Johnson |
Publisher | : |
Total Pages | : 98 |
Release | : 1926 |
Genre | : Biology |
ISBN | : |
Author | : Randall E. Groth |
Publisher | : SAGE Publications |
Total Pages | : 513 |
Release | : 2012-08-10 |
Genre | : Education |
ISBN | : 1452256020 |
Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.
Author | : |
Publisher | : DIANE Publishing |
Total Pages | : 236 |
Release | : |
Genre | : |
ISBN | : 1428925643 |
Author | : |
Publisher | : |
Total Pages | : 938 |
Release | : 1969 |
Genre | : Education |
ISBN | : |