: Anne Watson, Peter Winbourne
: Anne Watson, Peter Winbourne
: New Directions for Situated Cognition in Mathematics Education
: Springer-Verlag
: 9780387715797
: 1
: CHF 95.40
:
: Schulpädagogik, Didaktik, Methodik
: English
: 360
: Wasserzeichen/DRM
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This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. No other books are available which take this view specifically in mathematics education. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research.



Anne Watson is Reader in Mathematics Education at the University of Oxford. Before that she taught for many years in maintained secondary schools which served socially diverse areas. She now works in teacher education, and her work with students, and in local schools, and her research is characterised by a concern for social justice through education. In particular, the nature of mathematics classrooms and adolescents' relationships within them are a central concern. She has published numerous books, articles and papers for both professional and academic audiences and is often asked to talk to national and international audiences of researchers and practitioners.

Peter Winbourne currently lectures in mathematics education at the London South Bank University. After a long career teaching mathematics in inner city multicultural maintained schools, his passion for mathematics and social equity took him into teacher education, preparing people to work in similar schools. His interests developed from specific focus on the uses of new technologies to support learning to answering difficult questions such as why people should bother to learn at all. In answering these questions he has developed his understanding and ideas of theories of situated cognition, seeing these as illuminating the experiences of individuals as they become the people they are going to be.

Contents6
Contributing Authors8
Chapter 1 Introduction13
1. INTRODUCTION13
2. MATHEMATICS14
3. KNOWLEDGE15
4. SITUATED PERSPECTIVES: POWER AND LIMITATION16
5. WHY SITUATED PERSPECTIVES?18
6. THIS BOOK20
REFERENCES23
Chapter 2 School Mathematics As A Developmental Activity125
1. INTRODUCTION25
2. IMPLICIT EPISTEMOLOGY: WHAT DOES IT MEAN TO BE DOING MATHEMATICS ?27
3. LEARNING CLOSE TO PRACTICAL CONTEXTS AND SITUATIONS30
4. LEARNING IN THE SCHOOL CONTEXT32
4.1 Utilitarian vs. epistemic attitude to the world and to language33
4.2 Unreflected, or not consciously developed vs. planned and conscious procedure35
4.3 Learning as a relation of operations, tasks and the object of cognitive activity37
5. PERFORMANCE IN THE SITUATION VS. DEVELOPMENT39
REFERENCES241
Chapter 3 Participating In What? Using Situated Cognition Theory To Illuminate Differences In Classroom Practices43
1. INTRODUCTION43
2. OUR POSITION ON SITUATED COGNITION47
3. CASE STUDIES48
3.1 Case 1: Norma49
3.2 Case 2: Roisin51
3.3 Case 3: Susan52
4. ANALYSIS OF CLASSROOM SEQUENCES AS LOCAL COMMUNITIES OF PRACTICE55
4.1 How do students seem to be acting in relation to mathematics? What kind of participants do they seem to be within the lesson?56
4.2 What developing mathematical competence is publicly recognised, and how?57
4.3 Do learners appear to be working purposefully together on mathematics? With what purpose?57
4.4 What are the shared values and ways of behaving in relation to mathematics: language, habits, tool- use?58
4.5 Does active participation of students and teacher in mathematics constitute the lesson?59
4.6 Do students and teacher appear to be engaged in the same mathematical activity? What is the activity?60
5. ANALYSIS OF THE AFFORDANCES, CONSTRAINTS AND ATTUNEMENTS OF MATHEMATICAL ACTIVITY IN EACH SITUATION61
6. INFLUENCE OF STUDENTS CONTRIBUTIONS64
6.1 Susan s class on Equations 65
7. CONCLUSION67
ACKNOWLEDGEMENTS68
REFERENCES68
Chapter 4 Social Identities As Learners And Teachers Of Mathematics70
The situated nature of roles and relations in mathematics classrooms.70
1. INTRODUCTION70
2. PUPILS SOCIAL IDENTITIES AS LEARNERS OF MATHEMATICS71
3. LEARNERS SOCIAL IDENTITIES72
4. FROM IDENTITIES TO RELATIONS75
5. CHANGING CLASSROOM RELATIONS77
6. CLASSROOM RELATIONS79
6.1 Parallel calculation chains81
6.2 Solver and recorder82
6.3 Clue problems83
7. DISCUSSION86
8. CONCLUSION87
REFERENCES88
Chapter 5 Looking For Learning In Practice: How Can This Inform Teaching90
1. INTRODUCTION90
2. IDENTITY-CHANGING COMMUNITIES OF PRACTICE94
3. A TEACHING MOMENT96
3.1 Methodology: the teaching moment97
3.2 Three stories including the teaching moment98
4. A LEARNING EXPERIENCE105
4.1 Methodology - the biology story106
5. DISCUSSION: WHAT DOES THIS HAVE TO SAY ABOUT TEACHING AND LEARNING?108
5.1 The learning of school students108
5.2 The conceptualisation of teaching110
ACKNOWLEDGEMENTS112
REFERENCES112
Chapter 6 Are Mathematical Abstractions Situated?114
1. INTRODUCTION114
1.1 Empiricist views on abstraction115
1.2 Situation and context117
1.3 Contextual views of abstraction119
2. THE STUDY, THE TASKS AND PROTOCOL DATA122
2.1 Protocol data124
3. ABSTRACTION: MEDIATION, PEOPLE AND TASKS128
3.1 Mediation128
3.2 People131
3.3 Tasks134
4. CONCLUSIONS136
REFERENCES136
Chapter 7 We Do It A Different Way At My School 139
Mathematics homework as a site for tension and conflict139
1. INTRODUCTION139
2. RYAN, HIS MOTHER AND HIS HOMEWORK143
2.1 The practice of homework150
2.2 Ryan s school and home identities152
2.3 Ryan s mother and mathematics153
2.4 Tensions and conflicts during the homework event154
3. DISCUSSIO