Book · January 994 citations 110 reads 2,264 authors

participant observer 122, 123
philosophy
- of mathematics 327-328, 335-338
- of mathematics education 338-339
- of school mathematics 58, 79, 80,
85,
86
Piagetian
- learning 191
- theory 178, 180, 231
planetary view 446
political paradigm 288
possibility problem 9, 373
pragmatics 166, 167
preservice teacher training 57, 62, 113
principle
- in mathematics education 43-44
- of selective construction 194-195
probability 317
problem solving 63, 80, 111, 215-217,
327,
340
procedural errors 281
programmed instruction 213, 292
programming 173, 177-186
progress-focused documentation 275
progressive education 340
proof 129, 427-428, 437, 439
proportionality 427
psychodiagnostic 291
psychology and mathematics 18-20,
133-134, 225-229
pure mathematics 367-368, 402, 417-
420
qualitative research methods 406
quantitative research methods 104-106
ratio 95, 98-99
readability 161
reality construction 191
real-life applications and problems 263-
273, 381, 384-385
reflection 57, 60, 62, 109, 112
register 33
relativism 105
relevance paradox 371
reporting back 160, 164
representation 19-20, 57, 95, 138, 140,
189, 190, 197, 210, 256, 331, 379-
396
- intuitive 240
- linked 190, 193-194, 204, 332, 389-
391, 393-394
reproducibility 118, 122
research for innovation 118, 122
rhetoric 345, 347
rote versus autonomous learning 305

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466
SUBJECT INDEX
rule generation 142
schema 247-260, 345
science propaedeutics 41, 45
secondary teachers 107, 108, 110, 113
Selbsttätigkeit 417
self 351, 352, 354, 362, 363
-image 359, 362
semantic network 250-260
semiotic mediation 125, 127, 129, 135-
136
semiotics 346-347
separate versus connected knowing 307
setting 31
shaping of society 370
sign 135-136, 347
simulations 331, 370, 391-393
skills 206, 231
social
- constructivism 335, 338, 342, 347
- context of curriculum 23-25
sociocognitive conflict 149-151
sociohistorical school 228, 263-274
Socratic mode of teaching 45, 195
software 55, 171-172, 387-388
special education 292
spreadsheet 181-184, 202-204
standardized tools 444
standards (NCTM) 107, 111
state-focused documentation 285
statistics 318
stochastics 62, 80, 318
subject 351, 354, 357, 359, 361-363
- matter-specific pedagogical
knowledge 75, 81, 85, 86
- object 354, 355, 359
- specific strategies 49
subjectivism 359, 362
subtraction 235
Süvern syllabus 417-418
survey research methods 404, 406-407
symbol 94-97, 99
symbolism 345, 382
syntax 395
task (or activity) 82-83, 86, 346
task-oriented ITS 218-221
teacher
- education 55-59, 60, 90-93, 103,
106-109, 111-114, 328
- questioning 162-163, 164-165
- s' beliefs 38, 79
- s' knowledge 55-59, 73-86, 106-109,
214
- s' view of mathematics 59, 106-108
teaching
- experiment 256-259, 265-273, 283
- of differential equations 31
- strategies of 63, 69
technology 17-18, 171, 199, 400, 419-
420, 426, 434, 435
text
- comprehension 390
- problems 272-273
- transcripts 128, 162, 165
theory
- in mathematics education 105
- of didactical situations 28
- of didactical transposition 27-28,
401, 435,
440
theory-practice
- cooperation 58-59, 90-93
- relation 91-93, 100, 133, 418-420,
427-428
thinking
- algorithmic 231-244
- formal 231-244
- intuitive 231-244
- mathematical 225-229, 287
- relational 353
TME
5, 130
transcripts 80, 98-99
transfer of learning 20

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SUBJECT INDEX
tutorial strategies 215, 219-221
unconscious 168
understanding 66, 83, 140, 206, 232
-stages of mathematics 67
University of Chicago School
Mathematics Project (UCSMP) 316
variable 180
visual manipulation 192-193
visualization 95, 139, 296, 380
voice 160-161
Vygotsky's theory 118, 124-128, 134-
137, 147, 152,
161
wisdom of practice 21
Wittgenstein's philosophy 341
women's ways of knowing 308
word problems 215-217
work 140, 415, 419-420, 426, 434, 447-
448
zone of proximal development 125, 140,
152, 363-368
467

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Mathematics Education Library