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Book Synopsis Advances in Mathematics Education Research on Proof and Proving by : Andreas J. Stylianides
Download or read book Advances in Mathematics Education Research on Proof and Proving written by Andreas J. Stylianides and published by Springer. This book was released on 2018-01-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.
Download or read book Disaster Proof written by Lance Mortlock and published by . This book was released on 2021 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Psychology of Proof by : Lance J. Rips
Download or read book The Psychology of Proof written by Lance J. Rips and published by MIT Press. This book was released on 2003-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life. In this provocative book, Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life. Rips argues that certain inference principles are so central to our notion of intelligence and rationality that they deserve serious psychological investigation to determine their role in individuals' beliefs and conjectures. Asserting that cognitive scientists should consider deductive reasoning as a basis for thinking, Rips develops a theory of natural reasoning abilities and shows how it predicts mental successes and failures in a range of cognitive tasks. In parts I and II of the book, Rips builds insights from cognitive psychology, logic, and artificial intelligence into a unified theoretical structure. He defends the idea that deduction depends on the ability to construct mental proofs—actual memory units that link given information to conclusions it warrants. From this base Rips develops a computational model of deduction based on two cognitive skills: the ability to make suppositions or assumptions and the ability to posit sub-goals for conclusions. A wide variety of original experiments support this model, including studies of human subjects evaluating logical arguments as well as following and remembering proofs. Unlike previous theories of mental proof, this one handles names and variables in a general way. This capability enables deduction to play a crucial role in other thought processes, such as classifying and problem solving. In part III, Rips compares the theory to earlier approaches in psychology which confined the study of deduction to a small group of tasks, and examines whether the theory is too rational or too irrational in its mode of thought.
Book Synopsis Proof Reconstruction in Classical and Non-Classical Logics by : Stephanie Schmitt
Download or read book Proof Reconstruction in Classical and Non-Classical Logics written by Stephanie Schmitt and published by IOS Press. This book was released on 2000 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scrappy Business Contingency Planning by : Michael Seese
Download or read book Scrappy Business Contingency Planning written by Michael Seese and published by Happy About. This book was released on 2010 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In simple terms, business contingency planning (BCP) is the art of preparing an enterprise for "bad things." "Scrappy Business Contingency Planning" provides a blueprint for the creation of a business contingency program from the ground up.
Book Synopsis Rewriting, Computation and Proof by : Hubert Comon-Lundh
Download or read book Rewriting, Computation and Proof written by Hubert Comon-Lundh and published by Springer Science & Business Media. This book was released on 2007-08-18 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean-Pierre Jouannaud has played a leading role in the field of rewriting and its technology. This Festschrift volume, published to honor him on his 60th Birthday, includes 13 refereed papers by leading researchers, current and former colleagues. The papers are grouped in thematic sections on Rewriting Foundations, Proof and Computation, and a final section entitled Towards Safety and Security.
Book Synopsis Proof and Proving in Mathematics Education by : Gila Hanna
Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Book Synopsis "Proof," Policy, and Practice by : Paul E. Lingenfelter
Download or read book "Proof," Policy, and Practice written by Paul E. Lingenfelter and published by Taylor & Francis. This book was released on 2023-07-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we “fix” our schools? Improve graduation rates in college? What works?These are questions that make the headlines and vex policy makers, practitioners, and educational researchers. While they strive to improve society, there are frequently gulfs of mutual incomprehension among them.Academics, longing for more influence, may wrongly fault irrationality, ideology, or ignorance for the failure of research to inform policy and practice more powerfully. Policy makers and practitioners may doubt that academics can deliver ideas that will reliably yield desirable results. This book bridges the divide. It argues that unrealistic expectations lead to both unproductive research and impossible standards for “evidence-based” policy and practice, and it offers promising ways for evidence to contribute to improvement. It analyzes the utility and limitations of the different research methods that have been applied to policy and practice, as well as the strengths and weaknesses of educational reform strategies. It explains why using evidence for “accountability” often makes things worse rather than better.Paul Lingenfelter offers educational researchers and policy makers a framework for considering such questions as: What problems are important and accessible? What methods will be fruitful? Which help policy makers and practitioners make choices and learn how to improve? What information is relevant? What knowledge is valid and useful? How can policy makers and practitioners establish a more productive division of labor based on their respective capabilities and limitations? He cautions against the illusion that straight-forward scientific approaches and data can be successfully applied to society’s most complex problems. While explaining why no single policy or intervention can solve complex problems, he concludes that determination, measurement, analysis, and adaptation based on evidence in specific situations can lead to significant improvement. This positive, even-handed introduction to the use of research for problem-solving concludes by suggesting emerging practices and approaches that can help scholars, practitioners, and policy leaders become more successful in reaching their fundamental goals.
Book Synopsis Perfect Money Planning by : David Dionisi
Download or read book Perfect Money Planning written by David Dionisi and published by Taylor Publishing Company (TX). This book was released on 1995 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Planning Policy by : Richard Harwood KC
Download or read book Planning Policy written by Richard Harwood KC and published by Bloomsbury Publishing. This book was released on 2018-02-01 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The making of planning policy is a major political and legal issue and there is currently a considerable focus by the government in England, Wales and Northern Ireland on local plan policy making. The current climate is characterised by government concern at the slow pace of local plan adoption in England, the controversial introduction of neighbourhood planning, new strategic planning tools with the Planning (Wales) Act 2015 and local development plans in Northern Ireland. Planning Policy is the only book dedicated to planning policy, both national and local and includes coverage of the Housing and Planning Act 2016. It covers the policy framework within which planning decisions are taken. It addresses how national and local policy is formulated, examined and challenged.
Book Synopsis Handbook of Proof Theory by : S.R. Buss
Download or read book Handbook of Proof Theory written by S.R. Buss and published by Elsevier. This book was released on 1998-07-09 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Book Synopsis Age Proof by : Professor Rose Anne Kenny
Download or read book Age Proof written by Professor Rose Anne Kenny and published by Kings Road Publishing. This book was released on 2022-01-20 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: ___ ***SHORTLISTED FOR THE ROYAL SOCIETY SCIENCE BOOK PRIZE 2022*** Did you know that we can lead longer and healthier lives by making simple changes right now? Professor Rose Anne Kenny has 35 years of experience at the forefront of ageing medicine. In Age Proof, she draws on her own pioneering research and the latest evidence to demystify why we age and shows us that 80% of our ageing biology is within our control: we can not only live longer lives but become happier and healthier deep into our later years. Effortlessly distilling scientific theory into practical advice that we can apply to our everyday lives, Professor Kenny examines the impact that food, genetics, friendships, purpose, sex, exercise and laughter have on how our cells age. This illuminating book will show you the steps you can take to stay younger for longer - and will prove that you really are just as young as you feel.
Book Synopsis Pattern-directed Inference Systems by : Donald Arthur Waterman
Download or read book Pattern-directed Inference Systems written by Donald Arthur Waterman and published by . This book was released on 1978 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Teacher Proof written by Tom Bennett and published by Routledge. This book was released on 2013-07-04 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Tom Bennett is the voice of the modern teacher.’ - Stephen Drew, Senior Vice-Principal, Passmores Academy, UK, featured on Channel 4’s Educating Essex Do the findings from educational science ever really improve the day-to-day practice of classroom teachers? Education is awash with theories about how pupils best learn and teachers best teach, most often propped up with the inevitable research that ‘proves’ the case in point. But what can teachers do to find the proof within the pudding, and how can this actually help them on wet Wednesday afternoon?. Drawing from a wide range of recent and popular education theories and strategies, Tom Bennett highlights how much of what we think we know in schools hasn’t been ‘proven’ in any meaningful sense at all. He inspires teachers to decide for themselves what good and bad education really is, empowering them as professionals and raising their confidence in the classroom and the staffroom alike. Readers are encouraged to question and reflect on issues such as: the most common ideas in modern education and where these ideas were born the crisis in research right now how research is commissioned and used by the people who make policy in the UK and beyond the provenance of education research: who instigates it, who writes it, and how to spot when a claim is based on evidence and when it isn’t the different way that data can be analysed what happens to the research conclusions once they escape the laboratory. Controversial, erudite and yet unremittingly entertaining, Tom includes practical suggestions for the classroom throughout. This book will be an ally to every teacher who’s been handed an instruction on a platter and been told, ‘the research proves it.’
Book Synopsis Fool-proof Relations by : Malcolm H. Murfett
Download or read book Fool-proof Relations written by Malcolm H. Murfett and published by NUS Press. This book was released on 1984 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Aided Systems Theory written by and published by . This book was released on 2001 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Book of Proof by : Richard H. Hammack
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
