Teacher Proof

Teacher Proof PDF Author: Tom Bennett
Publisher: Routledge
ISBN: 1135040273
Category : Education
Languages : en
Pages : 177

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Book Description
‘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.’

Teacher Proof

Teacher Proof PDF Author: Tom Bennett
Publisher: Routledge
ISBN: 1135040273
Category : Education
Languages : en
Pages : 177

Get Book Here

Book Description
‘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.’

Proof Technology in Mathematics Research and Teaching

Proof Technology in Mathematics Research and Teaching PDF Author: Gila Hanna
Publisher: Springer Nature
ISBN: 3030284832
Category : Education
Languages : en
Pages : 374

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Book Description
This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.

Conjecture and Proof

Conjecture and Proof PDF Author: Miklos Laczkovich
Publisher: American Mathematical Soc.
ISBN: 1470458322
Category : Mathematics
Languages : en
Pages : 118

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Book Description
The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

Proof and Proving in Mathematics Education

Proof and Proving in Mathematics Education PDF Author: Gila Hanna
Publisher: Springer Science & Business Media
ISBN: 9400721293
Category : Education
Languages : en
Pages : 468

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Book Description
*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.

Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12

Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12 PDF Author: Amy B. Ellis
Publisher: National
ISBN:
Category : Education
Languages : en
Pages : 126

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Book Description
Focuses on essential knowledge for teachers about proof and the process of proving. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to proof and the activities involved in proving, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students...and teachers.

Proof in Mathematics Education

Proof in Mathematics Education PDF Author: David A. Reid
Publisher: BRILL
ISBN: 946091246X
Category : Education
Languages : en
Pages : 265

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Book Description
Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education.

Teach

Teach PDF Author: James W. Fraser
Publisher: Taylor & Francis
ISBN: 1000778339
Category : Education
Languages : en
Pages : 506

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Book Description
Is teaching for me? Who will I teach? How can I make a difference? Teach is a vibrant and engaging Introduction to Education textbook, organized around real questions students ask themselves and their professors as they consider a career in teaching. Using vivid and contemporary examples, veteran teacher educator James W. Fraser continually encourages readers to reflect on their experiences and engage in a dialogue about the most current issues in education. The thoroughly updated third edition includes fully rewritten chapters, including one discussing the current debates about classroom discussions of race and sexuality and the impact of the COVID-19 pandemic on schools and another on today’s newest technologies and their impact on teachers and schools. In each chapter, newly selected primary source readings provide students with the latest in education-related scholarship and integrates the intellectual foundations of education throughout each chapter, offering scholarly and current content in a student-friendly format. Features and updates include: • In a new, thoroughly revised and up-to-date but also much more compact version, the third edition of the popular Teach textbook for basic courses in a teacher education program invites aspiring teachers and the simply curious to ponder many of the most essential questions of what a career in teaching might look like in the next decades of the 21st century. • Up-to-date coverage of new legislation and school policies that impact teachers including debates about discussions on race and Critical Race Theory, sexuality and the importance of LGBTQ+ history and current rights that influence curricula, school policies, and teachers' free-speech rights, with particular emphasis on the declining role of the Common Core State Standards. • A completely rewritten Chapter 8 offers an up-to-the-minute overview of how technology can help improve and challenge teachers and teaching. • Features such as “Teachable Moment” and “Notes from the Field” encourage readers—through a variety of prompts and exercises—to reflect on their own educational experiences and goals, and challenge prospective teachers to imagine themselves in similar situations. • Short chapters and digestible sections provide an approach and format to reach students without compromising on high-quality content. • The concluding chapter explores the question, “Where do I go from here?” to help prospective teachers develop a plan for their career and design a personal philosophy to guide them. Teach presents an overview of the field in a way sure to keep students reading and gives those with questions about teaching the tools and information they need to continue a rich dialogue about their possible careers.

The Educational Technology Handbook

The Educational Technology Handbook PDF Author: Steven Hackbarth
Publisher: Educational Technology
ISBN: 9780877782926
Category : Education
Languages : en
Pages : 372

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Book Description
Grade level: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, k, p, e, i, s, t.

The Wiley Handbook of Educational Supervision

The Wiley Handbook of Educational Supervision PDF Author: Sally J. Zepeda
Publisher: John Wiley & Sons
ISBN: 1119128285
Category : Education
Languages : en
Pages : 668

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Book Description
An authoritative guide to educational supervision in today’s complex environment The Wiley Handbook of Educational Supervision offers a comprehensive resource that explores the evolution of supervision through contributions from a panel of noted experts. The text explores a wealth of topics including recent and dramatic changes in the complex context of today’s schools. This important resource: Describes supervision in a historical context Includes a review of adult learning and professional community Reviews new teacher preparation and comprehensive induction systems Contains perspectives on administrative feedback, peer coaching and collaboration Presents information on professional development and job-embedding learning Examines policy and implementation challenges in teacher evaluation Written for researchers, policy analysts, school administrators and supervisors, The Wiley Handbook of Educational Supervision draws on concepts, theories and research from other closely related fields of study to enhance and challenge our understanding of educational supervision.

Who's Teaching Your Children?

Who's Teaching Your Children? PDF Author: Vivian Troen
Publisher: Yale University Press
ISBN: 0300134622
Category : Education
Languages : en
Pages : 240

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Book Description
Many of the problems afflicting American education are the result of a critical shortage of qualified teachers in the classrooms. The teacher crisis is surprisingly resistant to current reforms and is getting worse. This important book reveals the causes underlying the crisis and offers concrete, affordable proposals for effective reform. Vivian Troen and Katherine Boles, two experienced classroom teachers and education consultants, argue that because teachers are recruited from a pool of underqualified candidates, given inadequate preparation, and dropped into a culture of isolation without mentoring, support, or incentives for excellence, they are programmed to fail. Half quit within their first five years. Troen and Boles offer an alternative, a model of reform they call the Millennium School, which changes the way teachers work and improves the quality of their teaching. When teaching becomes a real profession, they contend, more academically able people will be drawn into it, colleges will be forced to improve the quality of their education, and better-prepared teachers will enter the classroom and improve the profession.