## John Pell (1611-1685) and His Correspondence with Sir Charles Cavendish: The Mental World of an Early Modern Mathematician

*Noel Malcolm and Jacqueline Stedall*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198564843
- eISBN:
- 9780191713750
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564843.001.0001
- Subject:
- Mathematics, History of Mathematics

The mathematician John Pell was a member of the Royal Society and one of the generation of scientists that included Boyle, Wren, and Hooke. Although he left a huge body of manuscript materials, he ... More

## Using Perl to Do Calculations

*Mark D. LeBlanc and Betsey Dexter Dyer*

### in Perl for Exploring DNA

- Published in print:
- 2007
- Published Online:
- April 2010
- ISBN:
- 9780195305890
- eISBN:
- 9780199773862
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195305890.003.05
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter elucidates some of the mysteries of calculating with Perl. Arithmetic in Perl is fairly intuitive in its use of symbols. There are all sorts of reasons for doing a little arithmetic on ... More

## Bayesianism—its Scope and Limits

*Elliott Sober*

### in Bayes's Theorem

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263419
- eISBN:
- 9780191734175
- Item type:
- chapter

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263419.003.0002
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter discusses the scope and limits of Bayesianism. The first topics discussed are the math and philosophy embedded in Bayesianism and the standard objection to Bayesianism. The concept of ... More

## Epistemic Position and the First Meditation

*David Cunning*

### in Argument and Persuasion in Descartes’ Meditations

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780195399608
- eISBN:
- 9780199866502
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195399608.003.0002
- Subject:
- Philosophy, General

This chapter treats a number of interpretive issues including the ontological status of the simple natures that survive the painter analogy, the transparent truths and whether or not they are clearly ... More

## Lines of Thought: Central Concepts in Cognitive Psychology

*Lance Rips*

- Published in print:
- 2011
- Published Online:
- January 2011
- ISBN:
- 9780195183054
- eISBN:
- 9780199865109
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195183054.001.0001
- Subject:
- Psychology, Cognitive Psychology

This book addresses how we are able to think about abstract possibilities: How can we think about math, despite the immateriality of numbers, sets, and other mathematical entities? How are we able to ... More

## Numbers

*Lance J. Rips*

### in Lines of Thought: Central Concepts in Cognitive Psychology

- Published in print:
- 2011
- Published Online:
- January 2011
- ISBN:
- 9780195183054
- eISBN:
- 9780199865109
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195183054.003.0003
- Subject:
- Psychology, Cognitive Psychology

This chapter canvasses proposed connections between minds and numbers that might make knowledge of mathematics possible. The goal is to determine whether any promising leads are available in ... More

## The New Math: A Political History

*Christopher J. Phillips*

- Published in print:
- 2014
- Published Online:
- May 2015
- ISBN:
- 9780226184968
- eISBN:
- 9780226185019
- Item type:
- book

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226185019.001.0001
- Subject:
- History, History of Science, Technology, and Medicine

The new math changed the way Americans think about mathematics. The mathematicians and teachers who designed the novel and controversial curriculum in the late 1950s--generously supported by the ... More

## The Trouble with Math

*Ralph Abraham*

### in Educating the Whole Child for the Whole World: The Ross School Model and Education for the Global Era

- Published in print:
- 2010
- Published Online:
- March 2016
- ISBN:
- 9780814741405
- eISBN:
- 9780814786550
- Item type:
- chapter

- Publisher:
- NYU Press
- DOI:
- 10.18574/nyu/9780814741405.003.0010
- Subject:
- Education, Educational Policy and Politics

This chapter disagrees with how math is being taught today, addresses the development of a now pervasive “math anxiety,” and aims to devise an approach to teaching math that seeks to avoid it. ... More

## Modern Hindu Personalism: The History, Life, and Thought of Bhaktisiddhanta Sarasvati

*Ferdinando Sardella*

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199865918
- eISBN:
- 9780199979998
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199865918.001.0001
- Subject:
- Religion, Hinduism

This book explores the life and work of Bhaktisiddhānta Sarasvatī (1874–1937), a guru of the Chaitanya (1486–-1534) school of Vaishnavism, who, at a time when various interpretations of nondualistic ... More

## Life and Works

*Ferdinando Sardella*

### in Modern Hindu Personalism: The History, Life, and Thought of Bhaktisiddhanta Sarasvati

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199865918
- eISBN:
- 9780199979998
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199865918.003.0003
- Subject:
- Religion, Hinduism

This is a detailed biographical chapter depicting the life and work of Bhaktisiddhānta Sarasvatī as well as the development of his modern religious movement, the Gaudiya Math. From his father ... More

## Mathematics and Culture

*William Irwin Thompson*

### in Educating the Whole Child for the Whole World: The Ross School Model and Education for the Global Era

- Published in print:
- 2010
- Published Online:
- March 2016
- ISBN:
- 9780814741405
- eISBN:
- 9780814786550
- Item type:
- chapter

- Publisher:
- NYU Press
- DOI:
- 10.18574/nyu/9780814741405.003.0012
- Subject:
- Education, Educational Policy and Politics

This chapter argues that significant historical events, works of art, literature, and scientific discoveries are profoundly interconnected and that barriers between disciplines and areas of knowledge ... More

## California Dreaming: Reforming Mathematics Education

*Suzanne Wilson*

- Published in print:
- 2002
- Published Online:
- October 2013
- ISBN:
- 9780300094329
- eISBN:
- 9780300127539
- Item type:
- book

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300094329.001.0001
- Subject:
- Sociology, Education

This book presents a history of efforts to reform mathematics education in California throughout the last two decades of the 20th century. That history is a contentious one, full of such fervour and ... More

## Improving Literacy in America: Guidelines from Research

*Frederick J. Morrison, Heather Bachman, and Carol Connor*

- Published in print:
- 2005
- Published Online:
- October 2013
- ISBN:
- 9780300106459
- eISBN:
- 9780300130256
- Item type:
- book

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300106459.001.0001
- Subject:
- Sociology, Education

An alarmingly high number of American students continue to lack proficiency in reading, maths, and science. The various attempts to address this problem have all too often resulted in “silver bullet” ... More

## Empowering Science and Mathematics Education in Urban Schools

*Angela Barton, Edna Tan, Erin Turner, and Maura Varley Gutiérrez*

- Published in print:
- 2012
- Published Online:
- February 2013
- ISBN:
- 9780226037974
- eISBN:
- 9780226037998
- Item type:
- book

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226037998.001.0001
- Subject:
- Education, Early Childhood and Elementary Education

Math and science hold powerful places in contemporary society, setting the foundations for entry into some of the most robust and highest-paying industries. However, effective math and science ... More

## Curriculum Wars

*Suzanne M. Wilson*

### in California Dreaming: Reforming Mathematics Education

- Published in print:
- 2002
- Published Online:
- October 2013
- ISBN:
- 9780300094329
- eISBN:
- 9780300127539
- Item type:
- chapter

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300094329.003.0001
- Subject:
- Sociology, Education

This chapter introduces the problems with regards to reforming mathematics education in California during the last two decades of the last century. It looks particularly at the curriculum wars that ... More

## “Ours Is Not to Reason Why. Just Invert and Multiply”: School Mathematics and Its Critics

*Suzanne M. Wilson*

### in California Dreaming: Reforming Mathematics Education

- Published in print:
- 2002
- Published Online:
- October 2013
- ISBN:
- 9780300094329
- eISBN:
- 9780300127539
- Item type:
- chapter

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300094329.003.0002
- Subject:
- Sociology, Education

This chapter first looks at traditional mathematics in school, a mathematics that is not riddled with the stuff of high drama, a mathematics teaching that is predictable and familiar. In its familiar ... More

## Earlier Reforms and Their Legacies

*Suzanne M. Wilson*

### in California Dreaming: Reforming Mathematics Education

- Published in print:
- 2002
- Published Online:
- October 2013
- ISBN:
- 9780300094329
- eISBN:
- 9780300127539
- Item type:
- chapter

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300094329.003.0004
- Subject:
- Sociology, Education

This chapter looks at reforms in mathematics education in California, particularly the 1980s math reform, the 1985 Framework. It looks first at past frameworks that preceded the 1985 Framework, such ... More

## Policy, Teaching, and Learning

*David K. Cohen and Heather C. Hill*

### in Learning Policy: When State Education Reform Works

- Published in print:
- 2001
- Published Online:
- October 2013
- ISBN:
- 9780300089479
- eISBN:
- 9780300133349
- Item type:
- chapter

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300089479.003.0001
- Subject:
- Sociology, Education

This chapter provides an overview of the California math policy. It elaborates on its goals and objectives and the actions that implementers need to undertake. The reformers' main aim was to improve ... More

## Policy and Learning

*David K. Cohen and Heather C. Hill*

### in Learning Policy: When State Education Reform Works

- Published in print:
- 2001
- Published Online:
- October 2013
- ISBN:
- 9780300089479
- eISBN:
- 9780300133349
- Item type:
- chapter

- Publisher:
- Yale University Press
- DOI:
- 10.12987/yale/9780300089479.003.0008
- Subject:
- Sociology, Education

This concluding chapter reviews the innovative features of the California math reforms and the positive effects of California's effort to improve mathematics teaching and learning. It also discusses ... More

## Computational Complexity of Arranging Music

*Erik D. Demaine and William S. Moses*

### in The Mathematics of Various Entertaining Subjects: Research in Games, Graphs, Counting, and Complexity, Volume 2

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691171920
- eISBN:
- 9781400889136
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691171920.003.0019
- Subject:
- Mathematics, History of Mathematics

Music has long been a subject of analysis for mathematicians and has led to interesting questions in music theory and other fields. For the most part, computer scientists have looked into applying ... More