Proof and Proving in Mathematics Education

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)

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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.

Cows with Guns

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Publisher : Penguin Putnam
ISBN 13 : 9780670878901
Total Pages : 72 pages
Book Rating : 4.8/5 (789 download)

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Book Synopsis Cows with Guns by : Dana Lyons

Download or read book Cows with Guns written by Dana Lyons and published by Penguin Putnam. This book was released on 1998 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Orwell meets Gary Larson and Matt Groening in this riotous book that contains the complete "Cows with Guns" lyrics boldly rendered in full color by cartoonist Jeff Sinclair. Packaged with a special CD of the original "grange-rock" song plus a new instrumental version, "Cows with Guns" makes the ultimate gift for the animal lover in us all. Illustrations.

Requiem for the Sun

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Publisher : Blum & Poe Press
ISBN 13 : 9780966350326
Total Pages : 0 pages
Book Rating : 4.3/5 (53 download)

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Book Synopsis Requiem for the Sun by : Mika Yoshitake

Download or read book Requiem for the Sun written by Mika Yoshitake and published by Blum & Poe Press. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiem for the Sun: The Art of Mono-ha is the most comprehensive study in English to date on the postwar Japanese movement Mono-ha (School of Things), and examines the group's practice in Tokyo between 1968-1972 at the height of the nation's political upheaval against the US-Japan Security Treaty, anti-Vietnam War protests and its oil crisis. The Mono-ha artists--who included Noburu Sekine, Lee Ufan, Kishio Suga and Koji Enokura--all distinguished themselves through an aesthetic detachment that, instead of "creating" things, strove instead to "rearrange" them into artworks that interacted with the spaces around them. While sharing certain traits with the Land Art and Minimalism movements that were taking place in the United States, and the Arte Povera movement in Italy, Mono-ha was ultimately a rejection of the Euro-American avant-garde and is now synonymous with the beginnings of contemporary art in Japan.

The Medium of the Video Game

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Publisher : University of Texas Press
ISBN 13 : 0292786646
Total Pages : 228 pages
Book Rating : 4.2/5 (927 download)

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Book Synopsis The Medium of the Video Game by : Mark J. P. Wolf

Download or read book The Medium of the Video Game written by Mark J. P. Wolf and published by University of Texas Press. This book was released on 2010-07-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over a mere three decades, the video game became the entertainment medium of choice for millions of people, who now spend more time in the interactive virtual world of games than they do in watching movies or even television. The release of new games or game-playing equipment, such as the PlayStation 2, generates great excitement and even buying frenzies. Yet, until now, this giant on the popular culture landscape has received little in-depth study or analysis. In this book, Mark J. P. Wolf and four other scholars conduct the first thorough investigation of the video game as an artistic medium. The book begins with an attempt to define what is meant by the term "video game" and the variety of modes of production within the medium. It moves on to a brief history of the video game, then applies the tools of film studies to look at the medium in terms of the formal aspects of space, time, narrative, and genre. The book also considers the video game as a cultural entity, object of museum curation, and repository of psychological archetypes. It closes with a list of video game research resources for further study.

Pearl Harbor Attack: Hearings, Nov. 15, 1945-May 31, 1946

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis Pearl Harbor Attack: Hearings, Nov. 15, 1945-May 31, 1946 by : United States. Congress. Joint Committee on the Investigation of the Pearl Harbor Attack

Download or read book Pearl Harbor Attack: Hearings, Nov. 15, 1945-May 31, 1946 written by United States. Congress. Joint Committee on the Investigation of the Pearl Harbor Attack and published by . This book was released on 1946 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tokyo, 1955-1970

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Publisher : The Museum of Modern Art
ISBN 13 : 0870708341
Total Pages : 238 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Tokyo, 1955-1970 by : Doryun Chong

Download or read book Tokyo, 1955-1970 written by Doryun Chong and published by The Museum of Modern Art. This book was released on 2012 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catalog of an exhibition held at the Museum of Modern Art, New York, Nov. 18, 2012-Feb. 25, 2013.

Contemporary Japanese Sculpture

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Author :
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Contemporary Japanese Sculpture by : Janet Koplos

Download or read book Contemporary Japanese Sculpture written by Janet Koplos and published by . This book was released on 1991 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of contemporary Japanese sculpture, examining the vigour and originality of three-dimensional art in post-war Japan. The book investigates Gutai, a movement in the 1950s that broke traditions and Mono-ha, the Japanese version of Minimalism prevalent in the 1960s. The rest of the book explores the works of some 90 contemporary sculptors, dividing their work into five categories, such as material, time, image, relationship and place. This text is based on interviews, studio visits and observations of exhibitions.

MAVO

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Publisher : Univ of California Press
ISBN 13 : 9780520223387
Total Pages : 416 pages
Book Rating : 4.2/5 (233 download)

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Book Synopsis MAVO by : Gennifer Weisenfeld

Download or read book MAVO written by Gennifer Weisenfeld and published by Univ of California Press. This book was released on 2002-02-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mavo were aJapanese group of artists active in Tokyo from 1923-1925.

Art, Anti-art, Non-art

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Author :
Publisher : Getty Publications
ISBN 13 : 9780892368662
Total Pages : 164 pages
Book Rating : 4.3/5 (686 download)

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Book Synopsis Art, Anti-art, Non-art by : Reiko Tomii

Download or read book Art, Anti-art, Non-art written by Reiko Tomii and published by Getty Publications. This book was released on 2007 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to two decades of artistic ferment in postwar Japan. As that devastated nation confronted the fraught legacy of World War II, a rapid succession of avant-garde groups began experimenting with new media and processes of making art, disrupting conventions to address the changes occurring around them. The works that remain from this era are largely ephemeral - exhibition flyers, programs for performances, musical scores, issues of short-lived journals, documentary photographs, pieces of mail art, and multiples made from the detritus of modern life - but the ideals of engagement and innovation that invigorated this creative surge are not.

Shikaku Mixed Grids - Medium - Volume 3 - 159 Logic Puzzles

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Author :
Publisher : PuzzleBooks.net
ISBN 13 : 1508575088
Total Pages : 180 pages
Book Rating : 4.5/5 (85 download)

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Book Synopsis Shikaku Mixed Grids - Medium - Volume 3 - 159 Logic Puzzles by : Nick Snels

Download or read book Shikaku Mixed Grids - Medium - Volume 3 - 159 Logic Puzzles written by Nick Snels and published by PuzzleBooks.net. This book was released on 2015-02-21 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: When you buy this book you get an electronic version (PDF file) of the interior of this book. Shikaku is a fun and addicting logic puzzle game. This book is ideal if you know how to play Shikaku no matter their size, but you find our hard Shikaku puzzles too difficult. You get the perfect mix of different sizes of Shikaku to keep you entertained for weeks. Once you pick up this book, you won't be able to put it back down. You have been warned! Shikaku Mixed Grids - Medium is a collection of 159 puzzles: 40 medium Shikaku 21x21 puzzles 40 medium Shikaku 26x26 puzzles 40 medium Shikaku 30x30 puzzles 39 extra logic puzzles The goal of Shikaku is to divide the grid into rectangular and square pieces such that each piece contains exactly one number, and that number represents the area of the rectangle. I guarantee that every logic puzzle in this Shikaku puzzle book has been carefully checked to ensure that each puzzle has only 1 solution. None of the puzzles in this book will appear in any of the other English PuzzleBooks.net books. Shikaku is also known as Divide by Squares, Divide by Box, Number Area.

Japanese Art After 1945

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Author :
Publisher : Harry N. Abrams
ISBN 13 : 9780810925939
Total Pages : 416 pages
Book Rating : 4.9/5 (259 download)

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Book Synopsis Japanese Art After 1945 by : Alexandra Munroe

Download or read book Japanese Art After 1945 written by Alexandra Munroe and published by Harry N. Abrams. This book was released on 1996-09-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exhibition, 'Japanese Art After 1945: Scream Against the Sky, ' is an interpretive survey of the last fifty years of Japanese avant-garde art. It is a great pleasure for The Japan Foundation to be co-organizer of the American tour, which travels to the Guggenheim Museum SoHo, New York and the San Francisco Museum of Modern Art in association with the Center for the Arts at Yerba Buena Gardens.

Speaking Mathematically

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Author :
Publisher : Taylor & Francis
ISBN 13 : 9780415037082
Total Pages : 217 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Speaking Mathematically by : David Pimm

Download or read book Speaking Mathematically written by David Pimm and published by Taylor & Francis. This book was released on 1987 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.

Zap!

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Author :
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Zap! by : Scott Cohen

Download or read book Zap! written by Scott Cohen and published by McGraw-Hill Companies. This book was released on 1984 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Postwar to Postmodern

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Author :
Publisher : Moma Primary Documents
ISBN 13 : 9780822353683
Total Pages : 0 pages
Book Rating : 4.3/5 (536 download)

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Book Synopsis From Postwar to Postmodern by : Doryun Chong

Download or read book From Postwar to Postmodern written by Doryun Chong and published by Moma Primary Documents. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brings together critical historical documents, many of which are translated into English for the first time, in Japanese arts from the end of World War II through the next four and a half decades."--Page 14.

Supercade

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Publisher : National Geographic Books
ISBN 13 : 0262524201
Total Pages : 0 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Supercade by : Van Burnham

Download or read book Supercade written by Van Burnham and published by National Geographic Books. This book was released on 2003-10-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gloriously illustrated history of the videogame and its legacy for both our mindscapes and video technology. It was a time when technology was king, status was determined by your high score, and videogames were blitzing the world... From Pong to Pac-Man, Asteroids to Zaxxon—more than fifty million people around the world have come of age within the electronic flux of videogames, their subconscious forever etched with images projected from arcade and home videogame systems. From the first interactive blips of electronic light at Brookhaven National Labs and the creation of Spacewar! at the Massachusetts Institute of Technology; to the invention of the TV Game Project and the myriad systems of Magnavox, Atari, Coleco, and Mattel that followed; through the rise of the Golden Age of videogames and forward into the imagination of millions, Supercade is the first book to illustrate and document the history, legacy, and visual language of the videogame phenomenon. Exuberantly written and illustrated in full color, Supercade pays tribute to the technology, games, and visionaries of one of the most influential periods in the history of computer science—one that profoundly shaped the modern technological landscape and helped change the way people view entertainment. Supercade includes contributions from such commentators and particpants as Ralph Baer, Julian Dibbell, Keith Feinstein, Joe Fielder, Lauren Fielder, Justin Hall, Leonard Herman, Steven Johnson, Steven Kent, Nick Montfort, Bob Parks, Carl Steadman, and Tom Vanderbilt.

Phoenix IV

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Author :
Publisher :
ISBN 13 : 9780964384804
Total Pages : 868 pages
Book Rating : 4.3/5 (848 download)

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Book Synopsis Phoenix IV by : Leonard Herman

Download or read book Phoenix IV written by Leonard Herman and published by . This book was released on 2017-07-15 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: A year-by-year complete history of videogames from the late '50s through 2016.

Structured Derivations

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Publisher : Four Ferries
ISBN 13 : 9789527147009
Total Pages : 136 pages
Book Rating : 4.1/5 (47 download)

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Book Synopsis Structured Derivations by : Ralph-Johan Back

Download or read book Structured Derivations written by Ralph-Johan Back and published by Four Ferries. This book was released on 2015-04-11 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is based on proofs. The proof shows the logical reasoning behind a theorem, allows us to understand the meaning of it, its limitations and its consequences. Without a proof, a theorem is like magic; with a proof it is (sometimes more, sometimes less) self evident. But proofs are considered difficult in mathematics education of today, in particular at secondary level, and are therefore often avoided in teaching. When proofs are given, they are often informal and the underlying logic is not explicated. The purpose of this book is to put forward an alternative method for teaching mathematics at secondary and tertiary level that reintroduces proofs and careful argumentation as the solid basis for mathematics education. The method, structured derivations, is essentially a format for presenting mathematical arguments (calculations, derivations, proofs, problem solutions, etc). The format is designed to show the overall structure of the argument, while at the same time allowing a detailed inspection of each step in the argument. The method does not put any restrictions on the mathematical domain where the argumentation is carried out, nor on the level of detail or mathematical rigor of the argumentation. Hence, structured derivations can be used in any area of mathematics, and at any level of education. The focus in this book is on how to use structured derivations in teaching mathematics at high school level.