Proof and Proving in Mathematics Education

Ouvrier-Buffet, C. (2004). Construction of mathematical definitions: An epistemological and didactical study. In M. J. Høines & A. B. Fuglestad (Eds.), ...

Proof and Proving in Mathematics Education

Author: Gila Hanna

Publisher: Springer Science & Business Media

ISBN: 9400721293

Page: 475

View: 460

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.

Proceedings of the 13th International Congress on Mathematical Education

Eric W. Hart, James Sandefur, Cecile O. Buffet, Hans-Wolfgang Henn and Ahmed ... Discrete mathematics is a comparatively young branch of mathematics with no ...

Proceedings of the 13th International Congress on Mathematical Education

Author: Gabriele Kaiser

Publisher: Springer

ISBN: 3319625977

Page: 766

View: 344

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Handbook of Research on the Psychology of Mathematics Education

To see how secondary mathematics teachers and top-level 12th grade ... Ouvrier- Buffet (2002) selected the mathematical concept of tree (giving it a neutral ...

Handbook of Research on the Psychology of Mathematics Education

Author: Angel Gutiérrez

Publisher: Sense Publishers

ISBN: 9077874194

Page: 521

View: 377

This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for mathematics education research in the coming years

Handbook of International Research in Mathematics Education

Washington, DC: The Mathematical Association of America. ... Educational Studies in Mathematics, 81(2), 235–249. ... Ouvrier-Buffet, C. (2006).

Handbook of International Research in Mathematics Education

Author: Lyn D. English

Publisher: Routledge

ISBN: 1134626649

Page: 726

View: 581

This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.

Mathemagical Buffet

Mathemagical Buffet offers a delectable feast to everyone with a basic facility in secondary-school mathematics.

Mathemagical Buffet

Author: Liong-shin Hahn

Publisher: 國立臺灣大學出版中心

ISBN: 986035510X

Page: 250

View: 988

Mathemagical Buffet offers a delectable feast to everyone with a basic facility in secondary-school mathematics. Every topic reflects the incomparable excitement, beauty, and joy of mathematics; they present a wealth of ingenious insights and marvelous ideas at the fundamental level. The chapters are independent and can be read in any order. Everyone who enjoys elementary mathematics will truly delight in the following gems: . Pythagorean Triples via Geometry . New proofs of Generalizations of the Theorems of Ptolemy and Simson . Mind Reading Tricks, Ladder Lotteries, Mazes, Lattice Points, Round Robin Competitions, An Elementary Fixed Point Theorems and More . Simple proofs of the lovely Theorems of Pick and of Jung . The Constructibility of a Regular 17-gon . Open Problems on Egyptian Fractions and on Primes Moreover, the reader is gently encouraged to participate actively by responding to a line of questions that are thoughtfully sprinkled throughout the developments of the expositions.

Mathematics Education from an Asian Perspective Penerbit USM

... enhancing students' strategy flexibility. Let students savour a sumptuous buffet of mathematical strategy and be happy about learning mathematics!

Mathematics Education from an Asian Perspective  Penerbit USM

Author: Lim Chap Sam

Publisher: Penerbit USM

ISBN: 9674614117


View: 843

This book presents an exceptional collection of 11 articles on contemporary research studies that address current and critical issues of researches, theories and practices in the fields of mathematics education at various levels from primary to tertiary education. In addition, the book covers various innovative research studies from both local and abroad such as cognitive diagnostic assessment (CDA) and assessment for learning (AfL), teaching and learning of mathematics using the dynamic geometry software (DGS), action-process-object-schema (APOS) theory and relationship mapping and inverse (RMI) principle, as well as mathematics lesson structure (MLS) and collaborative lesson research (CLR). The contents of this book should be of interest to both national and international researchers and scholars, particularly mathematics educators, mathematics education researchers, teacher trainers, university students, teachers, curriculum planners, as well as policymakers.

Research and Development in University Mathematics Education

Two examples at the interface with computer science In this section, we briefly present two situations in discrete mathematics developed in Ouvrier-Buffet ...

Research and Development in University Mathematics Education

Author: Viviane Durand-Guerrier

Publisher: Routledge

ISBN: 1000369285

Page: 262

View: 812

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

The Simpsons and Their Mathematical Secrets

Buffett's picture in the 1947 Woodrow Wilson High School senior yearbook has the astute cap- tion “Likes math; future stockbroker.” Buffett is known to be a ...

The Simpsons and Their Mathematical Secrets

Author: Simon Singh

Publisher: A&C Black

ISBN: 1408835304

Page: 272

View: 153

From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans

The Best Writing on Mathematics 2020

“Hierarchical Structure Priming from Mathematics to Two- and Three- Site Relative Clause Attachment. ... “A Sumptuous Buffet of Mathematical Strategies.

The Best Writing on Mathematics 2020

Author: Mircea Pitici

Publisher: Princeton University Press

ISBN: 0691213658

Page: 264

View: 624

The year's finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2020 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday aspects of math, and take readers behind the scenes of today’s hottest mathematical debates. Here, Steven Strogatz reveals how calculus drives advances in virology, Paul Thagard argues that the power of mathematics stems from its combination of realistic and fictional qualities, and Erica Klarreich describes how Hao Huang used the combinatorics of cube nodes to solve a longstanding problem in computer science. In other essays, John Baez tells how he discovered the irresistible attractions of algebraic geometry, Mark Colyvan compares the radically different explanatory practices of mathematics and science, and Boris Odehnal reviews some surprising properties of multidimensional geometries. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Bernard Buffet

... to evoke Turner and Monet while still being Buffet. Other paintings, meanwhile, have the mathematical quality and sense of precision of a Canaletto.

Bernard Buffet

Author: Nicholas Foulkes

Publisher: Random House

ISBN: 1409052389

Page: 496

View: 473

It is said that asphyxiation brings on a state of hallucinatory which case the 71 year old artist who lay in his sprawling Provencal villa died happy. In the early afternoon of Monday 4 October 1999, wracked with Parkinson's, and unable to paint because of a fall in which he had broken his wrist, Bernard Buffet calmly placed a plastic bag over his head, taped it tight around his neck and patiently waited the few minutes it took for death to arrive. Bernard Buffet:The Invention of the Modern Mega-artist tells the remarkable story of a French figurative painter who tasted unprecedented critical and commercial success at an age when his contemporaries were still at art school. Then, with almost equal suddenness the fruits of fame turned sour and he found himself an outcast. Scarred with the contagion of immense commercial success no leper was more untouchable. He was the first artist of the television age and the jet age and his role in creating the idea of a post-war France is not to be underestimated. As the first of the so-called Fabulous Five (Francoise Sagan, Roger Vadim, Brigitte Bardot and Yves Saint Laurent) he was a leader of the cultural revolution that seemed to forge a new France from the shattered remains of a discredited and demoralized country. Rich in incident Buffet’s remarkable story of bisexual love affairs, betrayal, vendettas lasting half a century, shattered reputations, alcoholism, and drug abuse, is played out against the backdrop of the beau monde of the 1950s and 1960s in locations as diverse as St Tropez, Japan, Paris, Dallas, St Petersburg and New York, before coming to its miserable conclusion alone in his studio.

Mathematical Model

LOW SPEED BUFFET MODEL The NASA buffet program was tailored to match the 747 buffet characteristics . Cab buffet intensity was a function of angle of attack ...

Mathematical Model

Author: C. Rodney Hanke



Page: 44

View: 778

The Warren Buffett Way

The mathematical exercise , Buffett tells us , is very similar to valuing a bond . A bond has both a coupon and a maturity date that determines its future ...

The Warren Buffett Way

Author: Robert G. Hagstrom

Publisher: John Wiley & Sons

ISBN: 9780471177500

Page: 313

View: 157

Describes the investment strategies of the world's most famous stock investor, recounting how he made a fortune by purchasing pieces of outstanding companies since the early 1980s

Frustrations Teaching Math

... 6.21 0 = 8.28 Buffet for 2 adults and 2 children buffet buffet buffet buffet total 23.60 x 23.60 x 7.30 7.30 4.50 4.50 23.60 :3.54 4.72 I'm curious what ...

Frustrations Teaching Math

Author: Bs Ortner

Publisher: AuthorHouse

ISBN: 1438937008

Page: 144

View: 753

As you journey through my experience from the gates of hell and back, I hope that you find comfort and encouragement. Most of all, I hope that you find your way back to God. If God can forgive me for being a Drug Dealer and Drug Addict, He can surely restore you too. I pray that this book will save, help guide and restore any individual whom the devil has sifted as wheat to their rightful place with our Lord and Savior Jesus Christ. The road I took was not easy, but I overcame and I want someone else to know that they can too. Don't quit help is on the way! Get a made up mind to take back what the devil stole from you, because it belongs to you. After this rebuild the faithful man within yourself and serve the Lord diligently, knowing that at the end of a dead end situation is an open invitation to eternal life . because the King lives!


Warren Buffett's Investing Techniques Mary Buffett, David Clark ... Now the key to this part of the book is the mathematical tools section, which includes, ...


Author: Mary Buffett

Publisher: Simon and Schuster

ISBN: 1471104451

Page: 288

View: 748

At last, here is a book that reveals what the public really wants to know about this legendary investor: how he determines where he puts his money. From a team with privileged insight, Mary Buffett, a savvy CEO and Warren Buffett's former daughter-in-law, and David Clarke, a successful portfolio analyst, comes BUFFETTOLOGY, the most detailed explanation ever of the billionaire's unique investment techniques. Using Warren Buffett's system to access a company's potential economic excellence and the right price to pay for its stock, BUFFETTOLOGY demonstrates the actual mathematical models and equations, revolving around three variables: the yearly per share earnings figure, its predictability, and the market price of security. With BUFFETTOLOGY, individual investors will come to truly understand, and emulate, Warren Buffett's masterful insight, and see that investment is most intelligent when it is most businesslike.

Scripting Approaches in Mathematics Education

Mathematical Dialogues in Research and Practice Rina Zazkis, ... Proofs and refutations: The logic of mathematical discovery. ... Ouvrier-Buffet, C.

Scripting Approaches in Mathematics Education

Author: Rina Zazkis

Publisher: Springer

ISBN: 3319626922

Page: 425

View: 947

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice.

The Warren Buffett Portfolio

THE BEAUTY OF NUMBERS The world is full of people who love numbers , who view pure mathematics with the same reverence other people hold for classical music ...

The Warren Buffett Portfolio

Author: Robert G. Hagstrom

Publisher: John Wiley & Sons

ISBN: 9780471392644

Page: 256

View: 727

The Warren Buffett Way provided the first look into the strategies that the master uses to pick stocks. A New York Times bestseller, it is a valuable and practical primer on the principles behind the remarkable investment run of the famed oracle of Omaha. In this much-awaited companion to that book, author Robert Hagstrom takes the next logical step, revealing how to profitably manage stocks once you select them. THE WARREN BUFFETT PORTFOLIO will help you through the process of building a superior portfolio and managing the stocks going forward. Building a concentrated portfolio is critical for investment success. THE WARREN BUFFETT PORTFOLIO introduces the next wave of investment strategy, called focus investing. A comprehensive investment strategy used with spectacular results by Buffett, focus investing directs investors to select a concentrated group of businesses by examining their management and financial positions as compared to their stock prices. A strategy that has historically outperformed the market, focus investing is based on the principle that a shareholder's return from owning a stock is ultimately determined by the economics of the underlying business. Hagstrom explains in easy-to-understand terms exactly what focus investing is, how it works, and how it can be applied by any investor at any level of experience. He demonstrates how Buffett arranges his stocks in a focus portfolio and reveals why this is as responsible for his incredible returns as the individual stocks he picks. Ultimately, Hagstrom shows how to use this technique to build and manage a portfolio to achieve the best possible results.

Mathematical Excursions

POINT OF INTEREST Warren Buffet, one of the richest men in the world, is sometimes referred to as “the Oracle of Omaha,” a nod to his hometown of Omaha, ...

Mathematical Excursions

Author: Richard N. Aufmann

Publisher: Cengage Learning

ISBN: 1337516198

Page: 1008

View: 714

MATHEMATICAL EXCURSIONS, Fourth Edition, teaches you that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands that prime numbers are connected to credit card transactions; that compound interest is connected to student loans; and that the perils of radioactive waste take on new meaning when one understands exponential functions are connected to the disasters at Fukushima, Japan. The efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. These are just a few of the facets of mathematics you will explore with this text. MATHEMATICAL EXCURSIONS will expand the way you know, perceive, and comprehend the world around you. Enjoy the journey! Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Beliefs and Mathematics

Ouvrier-Buffet, C. (2006). Exploring Mathematical Definition Construction Processes. Educational Studies in Mathematics, 63 (3), 259–282.

Beliefs and Mathematics

Author: Bharath Sriraman

Publisher: IAP

ISBN: 1607526115

Page: 273

View: 735

Beliefs and Mathematics is a Festschrift honoring the contributions of Günter Törner to mathematics education and mathematics. Mathematics Education as a legitimate area of research emerged from the initiatives of well known mathematicians of the last century such as Felix Klein and Hans Freudenthal. Today there is an increasing schism between researchers in mathematics education and those in mathematics as evidenced in the Math wars in the U.S and other parts of the world. Günter Törner represents an international voice of reason, well respected and known in both groups, one who has successfully bridged and worked in both domains for three decades. His contributions in the domain of beliefs theory are well known and acknowledged. The articles in this book are written by many prominent researchers in the area of mathematics education, several of whom are editors of leading journals in the field and have been at the helm of cutting edge advances in research and practice. The contents cover a wide spectrum of research, teaching and learning issues that are relevant for anyone interested in mathematics education and its multifaceted nature of research. The book as a whole also conveys the beauty and relevance of mathematics in societies around the world. It is a must read for anyone interested in mathematics education.