## 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

## Pythagoras' Legacy: Mathematics in Ten Great Ideas

*Marcel Danesi*

- Published in print:
- 2020
- Published Online:
- January 2020
- ISBN:
- 9780198852247
- eISBN:
- 9780191886959
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852247.001.0001
- Subject:
- Mathematics, History of Mathematics, Educational Mathematics

The history of mathematics starts in earnest with one of Pythagoras’ most important proofs, the Pythagorean theorem. This proof was the first link in a chain of ground-breaking ideas, all ... 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

## 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

## 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 Lone Star Challenge

*Chester E. Finn and Andrew E. Scanlan*

### in Learning in the Fast Lane: The Past, Present, and Future of Advanced Placement

- Published in print:
- 2019
- Published Online:
- May 2020
- ISBN:
- 9780691178721
- eISBN:
- 9780691185828
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691178721.003.0005
- Subject:
- Education, Higher and Further Education

This chapter focuses on the Advanced Placement (AP) program in Texas. No place in America offers a larger or more vivid example of AP's recent history, its widening mission, and the challenges of ... More

## Make an educated guess, like Kepler with his Sphere-Packing Conjecture

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0018
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Make an educated guess, like Kepler with his Sphere-Packing Conjecture” provides an accessible discussion of the history and mathematics behind Johannes Kepler’s Sphere-Packing Conjecture—a ... 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

## How to Free Your Inner Mathematician: Notes on Mathematics and Life

*Susan D'Agostino*

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.001.0001
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

How to Free Your Inner Mathematician: Notes on Mathematics and Life offers readers guidance in managing the fear, freedom, frustration, and joy that often accompany calls to think mathematically. ... More

## Look all around, as Archimedes did in life

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0010
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Look all around, as Archimedes did in life” offers a range of tales about Archimedes doing mathematics in unusual places, including in the bathtub, under starry skies, and at the beach. Out in the ... More

## Untangle problems, with knot theory

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0012
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Untangle problems, with knot theory” offers a basic introduction to the mathematical subfield of knot theory, including the classification of knots by crossing numbers. A mathematical knot is a ... More

## Consider all options, as the shortest path between two points is not always straight

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0013
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Consider all options, as the shortest path between two points is not always straight” explains how to find the shortest path between two points on the globe by way of a “great circle”—an ... More

## Look for beauty, because of Fibonacci numbers

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0014
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Look for beauty, because of Fibonacci numbers” explains how to use addition to construct an ordered list of numbers known as the Fibonacci numbers. The chapter explores several unexpected and lovely ... More

## Embrace change, considering non-Euclidean geometry

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0016
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Embrace change, considering non-Euclidean geometry” offers a basic introduction to the geometry of curved surfaces in which the sum of the degrees of a triangle may equal more or less than 180°. The ... More

## Pursue an easier approach, considering the Pigeonhole Principle

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0017
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Pursue an easier approach, considering the Pigeonhole Principle” offers an introduction to a mathematical principle by way of answering a version of a popular mathematics question: “are there are ... More

## Proceed at your own pace, because of terminal velocity

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0019
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Proceed at your own pace, because of terminal velocity” offers a short introduction to the mathematics behind terminal velocity—the speed at which the force of air resistance equals the force of ... More

## Pay attention to details, as Earth is an oblate spheroid

*Susan D'Agostino*

### in How to Free Your Inner Mathematician: Notes on Mathematics and Life

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198843597
- eISBN:
- 9780191879388
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198843597.003.0020
- Subject:
- Mathematics, Educational Mathematics, Applied Mathematics

“Pay attention to details, as Earth is an oblate spheroid” explains that, due to gravitational and rotational forces, all planets in the solar system could more accurately be described as oblate ... More