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How can we objectively define categories of truth in scientific thinking? How can we reliably measure the results of research? In this ground-breaking text, Dienes undertakes a comprehensive historical analysis of the dominant schools of thought, key theories and influential thinkers that have progressed the foundational principles and characteristics that typify scientific research methodology today. This book delivers a masterfully simple, 'though not simplistic', introduction to the core arguments surrounding Popper, Kuhn and Lakatos, Fisher and Royall, Neyman and Pearson and Bayes. Subsequently, this book clarifies the prevalent misconceptions that surround such theoretical perspectives ...
The name of Zoltan P. Dienes (1916-) stands with those of Jean Piaget and Jerome Bruner as a legendary figure whose theories of learning have left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the Multi-base blocks (also known as Dienes blocks) which he invented for the teaching of place value. He also is the inventor of Algebraic materials and logic blocks, which sowed the seeds of contemporary uses of manipulative materials in mathematics instruction. Dienes' place is unique in the field of mathematics education because of his theories on how mathematical structures can be taught from the early grades onwards using multiple embodiments through ...
Zoltan Dienes (born 1916) is a Hungarian mathematician whose ideas on the education (especially of small children) have been popular in some countries. He is a world-famous theorist and tireless practitioner of the "new mathematics" - an approach to mathematics learning that uses games, songs and dance to make it more appealing to children. One of the best known examples of the application of these principles is Dienes' multibase blocks, which have been used in learning by many around the world to embody the concepts of place values. Mike Thomas is an Associate Professor at the Mathematics Education Unit in the Department of Mathematics at the University of Auckland, and has been in regular contact over the last ten years with Zoltan Dienes whose manuscripts have appeared regularly in the New Zealand Mathematics Magazine. Mike is confident that all mathematic educators will find something valuable in this publication as will their students.
Dr Zoltan Dienes is a world-famous theorist and tireless practitioner of the 'new mathematics' - an approach to mathematics learning which uses games, songs and dance to make it more appealing to children. Holder of numerous honorary degrees, Dr Dienes has had a long and fruitful career, breaking new ground and gaining many followers with his revolutionary ideas of learning often complex mathematical concepts in such fun ways that children are often unaware that they are learning anything.This is an honest account of an academic radical, covering his sometimes unconventional childhood in Hungary, France, Germany and Britain, his peripatetic academic career, his successes and failures and his personal affairs. Occasionally sad or moving, frequently amusing and always fascinating, this autobiography shares some of the intelligence, spirit and humanity that have made Dr Dienes such a landmark figure in mathematics education. A 'must-read' for anyone with a professional interest in the field, this is also an absorbing and frank book for anyone interested in the life of a man of ideas who was not afraid to take on the might of the traditionalist educational establishment.
In this work Zoltan Paul Dienes enlivens the world of algebra and examines some of the mysteries of mathematical constructions in a new and exciting fashion. Step by step, equation by equation, diagram by diagram, he strips away all the unintelligible jar
This book presents an overview of explicit knowledge and measured performance and attempts to clarify them in a coherent theoretical framework.
Active engagement is the key to learning. You want your students doing something that stimulates them to ask questions and creates a need to know. Teaching Mathematics Through Games presents a variety of classroom-tested exercises and activities that provoke the active learning and curiosity that you hope to promote. These games run the gamut from well-known favorites like SET and Settlers of Catan to original games involving simulating structural inequality in New York or playing Battleship with functions. The book contains activities suitable for a wide variety of college mathematics courses, including general education courses, math for elementary education, probability, calculus, linear algebra, history of math, and proof-based mathematics. Some chapter activities are short term, such as a drop-in lesson for a day, and some are longer, including semester-long projects. All have been tested, refined, and include extensive implementation notes.
• Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.
The Oxford Handbook of Hypnosis is the long overdue successor to Fromm and Nash's Contemporary Hypnosis Research (Guilford Press), which has been regarded as the field's authoritative scholarly reference for over 35 years. This new book is a comprehensive summary of where field has been, where it stands today, and its future directions. The volume's lucid and engaging chapters on the scientific background to the field, fully live up to this uncompromising scholarly legacy. In addition, the scope of the book includes 17 clinical chapters which comprehensively describe how hypnosis is best used with patients across a spectrum of disorders and applied settings. Authored by the world's leading practitioners these contributions are sophisticated, inspiring, and richly illustrated with case examples and session transcripts. For postgraduate students, researchers and clinicians, or anyone wanting to understand hypnosis as a form of treatment, this is the starting point. Unequalled in its breadth and quality, The Oxford Handbook of Hypnosis is the definitive reference text in the field.