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## “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

## The Subject in the Classroom: The Selling of the New Math

*Christopher J. Phillips*

### in The New Math: A Political History

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

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226185019.003.0005
- Subject:
- History, History of Science, Technology, and Medicine

This chapter shifts the focus from the design of model textbooks to the movement of actual textbooks from the drawing boards of university mathematicians to the desks of American schoolrooms in the ... More

## Networks and Their Leaders: Broadcasting and Shaping Reform

*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/9780300094329.003.0005
- Subject:
- Sociology, Education

This chapter examines the networks that exist for mathematics education enthusiasts, such as networks that sponsor summer and weekend events. These networks, in essence, are not a part of the ... 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

## Toward a Civil, Constructive Discourse

*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/9780300094329.003.0010
- Subject:
- Sociology, Education

This chapter explains further the goals and aims of the book, namely to make a contribution to the discourse about mathematics education. It examines the factors and reasons for the debate and ... 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

## Good Instruction in Mathematics

*George A. Khachatryan*

### in Instruction Modeling: Developing and Implementing Blended Learning Programs

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780190910709
- eISBN:
- 9780190910730
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190910709.003.0003
- Subject:
- Psychology, Developmental Psychology

This chapter applies the lessons of Chapter 1 (which discusses how to identify good instruction) to the case of mathematics. There has been much controversy about what makes for good instruction in ... 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

## Patterns in Mathematics Classroom Interaction: A Conversation Analytic Approach

*Jenni Ingram*

- Published in print:
- 2021
- Published Online:
- March 2021
- ISBN:
- 9780198869313
- eISBN:
- 9780191905520
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198869313.001.0001
- Subject:
- Mathematics, Educational Mathematics

Classroom interaction has a significant influence on teaching and learning mathematics. It is through interaction that we solve problems, build ideas, make connections, and develop our understanding. ... More

## Instruction Modeling: Replicating the Practices of Expert Teachers

*George A. Khachatryan*

### in Instruction Modeling: Developing and Implementing Blended Learning Programs

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780190910709
- eISBN:
- 9780190910730
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190910709.003.0004
- Subject:
- Psychology, Developmental Psychology

This chapter describes the core ideas behind instruction modeling. A promising way to improve mathematics instruction is to import successful approaches from other countries; however, it is ... More

## Knowledge worlds: boundaries and barriers

*Rosamund Sutherland*

### in Education and social justice in a digital age

- Published in print:
- 2013
- Published Online:
- May 2014
- ISBN:
- 9781447305255
- eISBN:
- 9781447311799
- Item type:
- chapter

- Publisher:
- Policy Press
- DOI:
- 10.1332/policypress/9781447305255.003.0003
- Subject:
- Sociology, Social Stratification, Inequality, and Mobility

This chapter examines the emergence of skills-based curricula in schools and the principles that accompany such an approach. It then turns to the work of Michael Young in order to consider the ... More

## Music and Mathematics

*Kristin Harney*

### in Integrating Music Across the Elementary Curriculum

- Published in print:
- 2020
- Published Online:
- September 2020
- ISBN:
- 9780190085582
- eISBN:
- 9780190085629
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190085582.003.0007
- Subject:
- Music, History, American

This chapter explores connections between music and mathematics. It includes rationales for integrating music and math, common links between the two disciplines, and a discussion of the Common Core ... More

## Introduction: Grandmothers and Machines

*George A. Khachatryan*

### in Instruction Modeling: Developing and Implementing Blended Learning Programs

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780190910709
- eISBN:
- 9780190910730
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190910709.003.0001
- Subject:
- Psychology, Developmental Psychology

The introduction tells the personal story behind the development of instruction modeling and summarizes the main points of the book. It relates how Alex, Julia, and George Khachatryan immigrated to ... More

## Instruction Modeling: Developing and Implementing Blended Learning Programs

*George A. Khachatryan*

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780190910709
- eISBN:
- 9780190910730
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190910709.001.0001
- Subject:
- Psychology, Developmental Psychology

Blended learning, which is instruction that combines online with face-to-face components, is becoming increasingly popular in American schools. However, few first-hand accounts have been provided by ... More

## Quick(er) Calculations: How to add, subtract, multiply, square, and square root more swiftly

*Trevor Davis Lipscombe*

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198852650
- eISBN:
- 9780191887222
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852650.001.0001
- Subject:
- Mathematics, Educational Mathematics

Quick(er) Calculations describes tips, tricks, and techniques to enable the reader to add, subtract, multiply, divide, find square roots, and form squares more rapidly than before. There are over 600 ... More

## Speedier Subtractions and Sums

*Trevor Davis Lipscombe*

### in Quick(er) Calculations: How to add, subtract, multiply, square, and square root more swiftly

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198852650
- eISBN:
- 9780191887222
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852650.003.0002
- Subject:
- Mathematics, Educational Mathematics

This chapter presents methods to add and subtract numbers more swiftly. These include breaking a subtraction or addition down into two, simpler steps. It also includes a way to add or subtract when ... More

## Quicker Quotients and Pleasing Products: Multiply and Divide by Specific Numbers

*Trevor Davis Lipscombe*

### in Quick(er) Calculations: How to add, subtract, multiply, square, and square root more swiftly

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198852650
- eISBN:
- 9780191887222
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852650.003.0006
- Subject:
- Mathematics, Educational Mathematics

This chapter provides methods to multiply or divide swiftly by numbers up to 1,001. It includes a discussion of divisibility by seven, as well as conversions between units, such as Celsius to ... More

## Accounting for Taste: Calculating Columns Quickly

*Trevor Davis Lipscombe*

### in Quick(er) Calculations: How to add, subtract, multiply, square, and square root more swiftly

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198852650
- eISBN:
- 9780191887222
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852650.003.0004
- Subject:
- Mathematics, Educational Mathematics

This chapter presents methods by which to add up columns exactly, or to estimate them, more swiftly. As a consequence, these methods can be used in practical situations, such as trips to the local ... More

## Calculations with Constraints: Multiply and Divide by Numbers with Specific Properties

*Trevor Davis Lipscombe*

### in Quick(er) Calculations: How to add, subtract, multiply, square, and square root more swiftly

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198852650
- eISBN:
- 9780191887222
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852650.003.0008
- Subject:
- Mathematics, Educational Mathematics

This chapter presents the techniques need to multiply or divide two numbers that have a particular property. It also introduces concepts such as twin primes and powerful numbers, and shows the ... More

## Close-Enough Calculations: Quick and Accurate Approximations

*Trevor Davis Lipscombe*

### in Quick(er) Calculations: How to add, subtract, multiply, square, and square root more swiftly

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198852650
- eISBN:
- 9780191887222
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198852650.003.0011
- Subject:
- Mathematics, Educational Mathematics

This chapter describes techniques to estimate division and multiplication by certain numbers. The purpose is to help in test taking. By knowing some ways to approximate answers rapidly, some ... More

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- no detail
- some detail
- full detail