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Visual Thinking in Basic Analysis

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0009
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter explores the vexed question of visual thinking in analysis. Is visualizing in analysis just a facilitator? Or can it have a non-redundant role in discovering truths of analysis? It is ... More


Commentary 7.6: Beyond the LinearThe Role of Visual Thinking and Visualization

Joe Ravetz

in Addressing Tipping Points for a Precarious Future

Published in print:
2013
Published Online:
January 2014
ISBN:
9780197265536
eISBN:
9780191760327
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197265536.003.0024
Subject:
Political Science, Environmental Politics

Tipping points can be approached by processes of visual thinking. These forms of understanding and connection assist communication and overall confidence in analysis. This is a process of complex ... More


Mental Number Lines

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

The main concern of this chapter is the association of numbers with a visually represented line. The association is usually acquired in junior school, and is then extended to provide an integrated ... More


Introduction

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This introductory chapter outlines the main themes of the book. It then describes visual thinking in mathematics during the 19th century. An overview of the chapters in the book is presented.


Symbol Manipulation

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter explores the nature and uses of visual thinking with symbols in mathematics. It examines visual symbolic thinking, which is more varied than one might expect, to see how it can ... More


Diagrams in Geometric Proofs

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

Presentations of geometric proofs are often accompanied by diagrams for quick and easy comprehension. But to many people, it seems clear that diagrammatic reasoning cannot be a part of the argument ... More


Visual Aspects of Calculation

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter describes the roles of visual thinking in calculation, with the aim of showing that in many cases it is not peripheral. It does this by setting the visual aspects of calculation within ... More


Visualizing in Mathematics

Marcus Giaquinto

in The Philosophy of Mathematical Practice

Published in print:
2008
Published Online:
February 2010
ISBN:
9780199296453
eISBN:
9780191711961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296453.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics

Visual thinking in mathematics (thinking with representations in visual imagination or external diagrams) has a plurality of uses. This chapter assesses the epistemic standing of major uses of visual ... More


The Vast Range of Visual Worlds

Laura Otis

in Rethinking Thought: Inside the Minds of Creative Scientists and Artists

Published in print:
2015
Published Online:
November 2015
ISBN:
9780190213466
eISBN:
9780190271701
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190213466.003.0003
Subject:
Psychology, Cognitive Psychology

The insights of five strikingly different visually gifted thinkers shape this chapter: cell biologist Barry Shur, engineer Temple Grandin, painter Mary J. Welty, neuroscientist Hugh Wilson, and U. S. ... More


Introduction

Ildar Garipzanov

in Graphic Signs of Authority in Late Antiquity and the Early Middle Ages, 300-900

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198815013
eISBN:
9780191852848
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198815013.003.0001
Subject:
History, European Medieval History, Historiography

The first section discusses definitions of the graphic sign and its typologies, and provides an overview of relevant academic literature. The second section highlights major historiographic trends in ... More


Drawing as Thinking: A Visual Response to To the Lighthouse

Sarah Blake

in Interdisciplinary/Multidisciplinary Woolf

Published in print:
2013
Published Online:
January 2016
ISBN:
9780989082624
eISBN:
9781781384961
Item type:
chapter
Publisher:
Liverpool University Press
DOI:
10.5949/liverpool/9780989082624.003.0022
Subject:
Literature, Poetry

This chapter examines dialogues through art and across time by making a reading of Virginia Woolf's To the Lighthouse through drawing. Focusing on the relationship between drawing and reading, it ... More


Picturing Difference and Disability in Our Classrooms

Keri Watson

in Teaching the Works of Eudora Welty: Twenty-First-Century Approaches

Published in print:
2018
Published Online:
May 2019
ISBN:
9781496814531
eISBN:
9781496814579
Item type:
chapter
Publisher:
University Press of Mississippi
DOI:
10.14325/mississippi/9781496814531.003.0014
Subject:
Literature, American, 20th Century Literature

Eudora Welty’s photographs from the 1939 Mississippi State Fair offer an exciting opportunity to teach students visual literacy and introduce them to performance, critical race, gender, and ... More


Avoid Being Abstract When Making Policies on the Welfare of Animals

Temple Grandin

in Species Matters: Humane Advocacy and Cultural Theory

Published in print:
2011
Published Online:
November 2015
ISBN:
9780231152839
eISBN:
9780231526838
Item type:
chapter
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231152839.003.0010
Subject:
Public Health and Epidemiology, Public Health

This chapter examines how animal advocacy can take different forms in diverse academic disciplines, in this case animal science. The chapter discusses the importance of staying in touch with what is ... More


Visuality through and through

Hentschel Klaus

in Visual Cultures in Science and Technology: A Comparative History

Published in print:
2014
Published Online:
March 2015
ISBN:
9780198717874
eISBN:
9780191787546
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198717874.003.0015
Subject:
Physics, History of Physics

This chapter moves on from the discussion of Ernst Mach in the preceding chapter to point out how his oeuvre epitomizes all layers of visual cultures, especially drawing skills, an obsession with ... More


A Finished Task: Darwin’s Treatise on Coral Reefs

Alistair Sponsel

in Darwin's Evolving Identity: Adventure, Ambition, and the Sin of Speculation

Published in print:
2018
Published Online:
September 2018
ISBN:
9780226523118
eISBN:
9780226523255
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226523255.003.0011
Subject:
History, History of Science, Technology, and Medicine

This chapter analyzes the content and strategy of Darwin’s 1842 book, The Structure and Distribution of Coral Reefs. It was not the grand synthetic geological treatise he had originally envisioned ... More


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