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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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