Commentary on Theories of Mathematics Education

Subject Index
A
Absolutism, 382, 635
Abstraction, 43, 78, 100, 102, 176, 180, 184–
185, 195, 198, 212, 221, 224–226,
228, 305, 440, 469, 479, 500, 515,
607, 632, 641
domain, 225–226, 479
process of, 100, 102, 607
Achievement, 131, 246–247, 300, 306, 435,
455–256, 459–461, 467–468, 472,
635
Action research, 80
Activity theory, 14, 27, 56, 103, 495, 516, 520–
522, 524, 526–530, 532
Advanced mathematical thinking, 181, 344
Aesthetics, x, 26, 58, 593–594, 596, 603, 606,
609–611, 618, 625, 632
Affect, ix, 98, 236, 245, 248–249, 313, 322,
325, 455, 582, 584, 603
meta-affect, 236, 249
powerful affect, 245, 248
Affective, 40, 55, 218, 236, 241–242, 245–247,
249–251, 253–254, 292, 309, 313,
322, 398, 431, 605
domain, 241, 246, 253–254
structures, 236, 241–242, 245, 249, 254
Algebraic invariance, 359
Algebraic representation approach, 360–361,
364
Androgyny, 467, 469–470, 473
Anthropological theory, 22–24, 112, 486, 495,
499, 500
Ascertaining, 40, 355, 358, 416
B
Basil Bernstein, 99, 111
Behaviorism, 319
Belief systems, 59, 405–406
Beliefs, 40, 59, 70, 79, 140, 256, 265, 268, 362,
374, 398, 402–425, 437, 448, 455,
468, 474, 601–602, 626, 632, 639–
640
Brain imaging, 313–314, 318, 321, 334–337
Bricolage, 74, 166, 496–497, 510, 516, 537–
539, 549, 555, 558
C
CERME, 480, 484, 491, 503–507, 515, 537,
555–556
Cognition, 8, 14, 17, 19, 23, 25, 38, 40–42, 49–
51, 78, 82, 93, 98, 101–103, 112–
114, 142, 151, 153, 185, 213, 215–
217, 219–220, 222–223, 227, 233,
235–236, 300, 306, 309–313, 315–
320, 322, 324, 333–335, 382–383,
386, 538, 556, 595, 597, 622
and culture, 217
distributed, 82, 217, 335, 538
situated, 23, 78, 82, 103, 114
Cognitive, 8–10, 16, 22–24, 40–41, 43, 45, 50–
51, 55, 60, 66, 78, 103, 113–114,
124, 129, 134, 147, 152, 164, 171–
176, 179, 182–184, 186, 189, 194–
196, 198, 200, 211, 215–218, 220–
224, 227, 234–235, 246–248, 251–
252, 300, 305–306, 309–310, 312–
322, 324–326, 333–336, 355–356,
361, 371, 374–375, 381, 384, 397–
398, 437, 441, 452, 499, 500, 538,
567, 593, 595–598, 603, 606, 610,
616
artifact, 215
development, 171–172, 174–175, 179, 182–
183, 194, 196, 200, 217–218, 223,
B. Sriraman, L. English (eds.), Theories of Mathematics Education,
Advances in Mathematics Education,
DOI 10.1007/978-3-642-00742-2, © Springer-Verlag Berlin Heidelberg 2010
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