Investigating Mathematics Teaching: A Constructivist Enquiry

By Barbara Jaworski | Go to book overview

Index

a
absolutism, 17-18 , 28 , 55 , 85
absolutist educational legacy 87 , 136
abstraction by naming 124 , 132
accounting for 192-3
accuracy:
need for 120-1 , 123
action:
and knowledge 15 , 199 , 205
managing 116
active construction 84
activity, mathematical 3
practical 172
types of 116-17
aims:
for lessons 44
algorithms 131 , 180
Amberley school:
research in 37-58passim,60 , 69 , 82 , 172 , 200
analysis:
participant observation 47-55
and theory 70
see also critical analysis;
data analysis
apparatus:
use of 172
ATs, attainment targets 7-8
audio recordings 65 , 112
awareness:
conscious 136
and effective change 136
limited 56
pedagogic, levels of 33 , 135-6
of perceptions 48 , 54
reflective 136
researcher 134-8
teacher 134-8

b
Beacham school:
mathematics department 89-90
research in 60 , 69 , 112-33 , 172
behaviour:
and didactic tension 131 , 180
responsive 27
of students 131 , 173 , 176
Ben:
affirmation of teaching triad 143-69
investigative style of teaching 141 , 143-69
and reflective thinking 191-2 , 193
billiards lessons 113-17 , 126 , 127 , 130 , 171
booklets lessons 37 , 41 , 43 , 86
‘brilliant ideas’ 74

c
category profile 68
characterization 80-1
child-centred approach 31-2
Clare:
observations, of teaching 88-111
prodding and guiding 137 , 139
reflective practice 108 , 110
response to teaching triad 108
classroom:
analyses of 210
atmosphere in 91 , 97
authority in 150-2 , 181
characteristics 73 , 170-6
and constructivism 25-9
culture 184
gender issues in 109-10
interaction 151
knowledge 206-7
individual and social dimensions of 208
management 93
mathematics teaching in 8-10
physical set up 152 , 172
class work lessons 37 , 41 , 86
Cockcroft Report 1982 39 , 82 , 174
cognitive adaptation 15
cognitive density:
Mike’s 137-8 , 178 , 194
common knowledge 25
communication:
meaning and constructivism 20-4
methodology 24 , 140
Compton school:
research in 60 , 143 , 172
conceptualization:
leaps of 30
system 30
conclusions:
researcher’s 80

-226-

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