The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.
"Sinopsis" puede pertenecer a otra edición de este libro.
The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.
"Sobre este título" puede pertenecer a otra edición de este libro.
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
Hardback. Condición: Good. The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,.) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process. Nº de ref. del artículo: 00108366323
Cantidad disponible: 1 disponibles
Librería: World of Books Inc, Montgomery, IL, Estados Unidos de America
Hardback. Condición: Good. The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,.) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process. Nº de ref. del artículo: CIN0883857464G
Cantidad disponible: 1 disponibles
Librería: Austin Goodwill 1101, Austin, TX, Estados Unidos de America
Condición: good. Book shows general signs of use and handling. May have light wear on the cover or edges and minimal writing or highlighting. Binding remains tight, and pages are clean and readable. Nº de ref. del artículo: CTXV.0883857464.G
Cantidad disponible: 1 disponibles
Librería: Goodwill, Brooklyn Park, MN, Estados Unidos de America
Condición: good. All pages and cover are intact including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May include "From the library of" labels. Shrink wrap, dust covers, or boxed set case may be missing. Item may be missing bundled media. Nº de ref. del artículo: MINV.0883857464.G
Cantidad disponible: 1 disponibles
Librería: -OnTimeBooks-, Phoenix, AZ, Estados Unidos de America
Condición: good. A copy that has been read, remains in good condition. All pages are intact, and the cover is intact. The spine and cover show signs of wear. Pages can include notes and highlighting and show signs of wear, and the copy can include "From the library of" labels or previous owner inscriptions. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships via media mail. Nº de ref. del artículo: OTV.0883857464.G
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Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
Condición: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Nº de ref. del artículo: 12782169-6
Cantidad disponible: 1 disponibles
Librería: Conover Books, Martinsville, VA, Estados Unidos de America
Hardcover. Condición: Good. 1st Edition. Ex-library with the usual library markings (if not for the library markings this copy would be graded in fine condition); overall a nice used copy! Full-color pictorial boards with black and white lettering. 173 historical and informative pages nicely enhanced by black and white photographs and illustrations! "The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,.) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.". Nº de ref. del artículo: 052150
Cantidad disponible: 1 disponibles
Librería: WeBuyBooks, Rossendale, LANCS, Reino Unido
hardcover. Condición: Very Good. Most items will be dispatched the same or the next working day. A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Nº de ref. del artículo: rev1970292543
Cantidad disponible: 1 disponibles
Librería: GoldBooks, Denver, CO, Estados Unidos de America
Hardcover. Condición: new. New Copy. Customer Service Guaranteed. Nº de ref. del artículo: 72B26_22_0883857464
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Librería: SHIMEDIA, Brooklyn, NY, Estados Unidos de America
Condición: New. Satisfaction Guaranteed or your money back. Nº de ref. del artículo: 0883857464
Cantidad disponible: 1 disponibles