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Toward Equity in Quality in Mathematics Education

Toward Equity in Quality in Mathematics Education

von: Murad Jurdak

Springer-Verlag, 2009

ISBN: 9781441905581, 181 Seiten

Format: PDF, OL

Mac OSX,Windows PC Apple iPad, Android Tablet PC's Online-Lesen für: Linux,Mac OSX,Windows PC

Preis: 117,65 EUR

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Toward Equity in Quality in Mathematics Education


 

Preface

6

Contents

8

Part I Equity in Quality in Mathematics Education: Contexts and Perspectives

14

My Journey Toward Equity in Quality

15

The Nineteen Fifties: The School Years

15

The Nineteen Sixties: The University Years

17

The Start of a Career in Mathematics Education

19

The Nineteen Eighties: The Beginning of the Social Turn

24

The Nineteen Nineties: Problem Solving in School and Outside

26

The Present: Reflecting on the Past and Looking Ahead

28

Historical Evolution of Equity and Quality in Education and in Math Education

30

The Evolution of Educational Equity and Quality

30

The Fifties and Sixties

30

The Seventies

31

The Eighties

31

The Nineties

31

The First Decade of the Twenty-First Century

32

The Evolution of Equity and Quality in Mathematics Education Literature

33

The Fifties and Sixties

33

The Seventies

36

The Eighties

36

The Nineties

37

The Evolution of Equity and Quality in Mathematics Education in ICMI and PME Activities

38

ICMI Studies

39

The ICME Congresses

39

The PME Annual Conferences

39

Conclusion

43

Equity in Quality: Towards a Theoretical Framework

45

Quotations

46

Quotation 1: Inside and Outside School

46

Quotation 2: In the Same Classroom

46

Quotation 3: Inside and Outside a Country

47

Quotation 4: Across Countries

48

Equity and Quality in the School as a Production System

48

The School as a Production System

48

Equity in the Production System

49

Quality in the Production System

50

Revisiting the Quotations from the Perspective of the Production System

51

Comments on Equity and Quality in the School as a Production System

52

Activity Theory and Mathematics Education

53

Activity Theory

53

Activity System

54

Mathematics Education as an Activity System

55

Mathematics Education as a Nested Hierarchical Complex Activity System

56

Equity and Quality in the Activity System

56

Equity in the Activity System

57

Quality in the Activity System

57

The Activity System and the Social-Cultural-Political Nature of Math Education

58

Revisiting the Quotations from the Perspective of Activity System

59

The School Context

61

Math Education System at the School Level: Factors and Their Attributes

61

Mathematics Learning

62

Student

62

Classroom Community

63

Mediating Artifacts

63

Division of Labor

63

Rules

64

Interactions and Inequities: Two Examples

64

Inequities Related to Student, Mediating Artifacts, and Division of Labor Interactions

65

Student Personal Traits and Mathematics Mediating Artifacts in the Classroom

65

Student Socioeconomic Background and Mathematics Mediating Artifacts in the Classroom

66

Student Cultural Background and Mathematics Mediating Artifacts in the Classroom

67

Distribution of Labor and Classroom Community

70

Inequities Related to Student, Classroom, and Mathematics Achievement Interactions

70

Gender and Mathematics Achievement

71

Student Socioeconomic Background and Mathematics Achievement

72

Student Cultural Background and Mathematics Achievement

73

Student Perceptions of Self in Relation to the Class Community and Mathematics Achievement

74

Classroom Practices and Mathematics Achievement

75

Inequities Related to School Policies and Sociocultural Context

76

Concluding Remarks

77

The National Context

78

Math Education System at the National Level: Factors and Their Attributes

78

School

79

Educational System Community

80

Division of Labor

80

Interactions and Inequities: An Example

80

Inequities Related to School, Education School System, and Mediating Artifacts Interactions

81

General Pattern of Interactions

81

The Two-Tier Education System in Developing Countries

83

The Two-Tier Education System in Developed Countries

85

Inequities Related to the Interaction of School and Mathematics Learning Outcomes

88

School Socioeconomic Cultural Background and Mathematics Achievement

88

Other School Factors and Mathematics Achievement

88

Inequities Related to the Interaction of State Policies and the Education System

89

Decentralization of the Education System and Mathematics Achievement

89

Differentiation of the Education System and Mathematics Achievement

90

School Privatization and Mathematics Achievement

91

Concluding Remarks

91

The Global Context

93

Math Education System at the Global Level: Factors and Their Attributes

93

Math Education

93

Country

94

The Math Mediating Artifacts

95

The International Math Education Community

95

Division of Labor

95

Rules

95

Interactions and Inequities: An Example

96

Inequities Related to Country, Community, and Division of Labor Interactions

96

Inequities Related to the Interaction of Country and Mathematics Learning

97

Inequities Related to the Interaction of International Policies and Participation

99

International Policies

99

Exchange and Transfer

100

Concluding Remarks

101

Part II Equity in Quality in Mathematics Education: Across Countries Comparisons Based on TIMSS 2003 Results

103

Methodology

104

A Theoretical-Methodological Issue

104

Research Method in Activity Theory

104

Research Method in Contextualism

105

TIMSS 2003 Background Questionnaires

106

Summary Indices and Derived Variables from Questionnaire Data

106

Student-Level Indices

107

Teacher-Level Indices

108

School-Level Indices

108

Single-Item Variables

109

Student-Level Variables

109

Teacher-Level Variables

109

Dependent Variables

110

The Sample of Countries

110

Statistical Analysis

111

Equity Measure

112

Inequity Index

112

Inequity Factor

112

Student-Related Inequity Factors

113

Student Indices

114

Index of Student Educational Aspiration Relativeto Parents' Education

114

Index of Student Self-confidence in Learning Mathematics

115

Index of Parents Highest Education Level

119

Index of Computer Use

119

Index of Student Perception of Being Safe in School

121

Summary of Student Indices as Inequity Factors

124

Student Practices

125

How Often Students Explain Their Answersin Mathematics Lessons

125

How Often Students Work Problems on Their Own in Mathematics Lessons

126

How Often Students Have a Quiz or Test in Mathematics Lessons

129

How Often Students Use Calculators in Mathematics Lessons

129

How Often Students Work Together in Small groups in Mathematics Lessons

132

Summary of Student Practices as Inequity Factors

132

Teacher-Related Inequity Factors

135

Teachers' Indices

136

Index of Mathematics Teachers' Perception of School Climate

136

Index of Teachers' Reports on Teaching Mathematic Classes with Few or no Limitations on Instruction due to Student Factors

138

Index of Teachers' Emphasis on Mathematics Homework

140

Class Size for Mathematics Instruction

143

Teacher Practices

143

Concluding Remarks

144

School-Related Inequity Factors

145

Index of Principal Perception of School Climate

146

Index of Good School and Class Attendance

148

Concluding Remarks

148

Global Inequity Factors

151

Country Indicators

151

Educational Indicators

151

Economic Educators

152

Country Indicators and Mathematics achievement

153

The Relationship Between Equity and Quality at the Country Level

154

Country Inequity Index

154

Country Quality Index

155

Quality-Inequity Matrix

155

Optimal and Separate Modes of Development in Mathematics Education

156

Contrasting the Developmental Profiles of Optimal and Separate Modes of Development

157

Concluding remarks

159

Epilogue

160

Some Generalizations

160

A Cross-Layer Perspective of the Math Education Activity System

161

Interpretation of TIMSS 2003 Data Analysis Through the Activity System Lens

163

System-Wise Transformation to Achieve Equity In Quality

163

Transformation in the Activity System

165

System-Wise Transformation: The Case of Lebanon

166

The Context

166

The Inequity

166

The Conflict

167

A Suggested Strategy

167

References

170

Index

179