Commentary on Theories of Mathematics Education

668 Subject Index
learning environments, 13, 498
Testing, 13, 68, 71, 123, 125, 131–132, 138,
140, 145, 253–254, 266, 271, 281–
282, 294, 298, 335, 345, 402, 422,
494, 501, 576, 581, 627, 631
high-stakes, 140, 266, 298
national and international, 266, 298
Theoretical, ix, 9–16, 20, 22–25, 27, 38, 56–57,
59, 65–75, 79, 82–83, 87–91, 93, 97–
98, 100, 102, 104–105, 108, 112–
114, 116, 129, 139, 147–149, 151–
152, 155, 165, 171–174, 181, 185,
189–193, 195–197, 203, 212, 234–
235, 309, 319, 342–343, 370, 381,
384–385, 403, 417–421, 424, 431–
432, 435–437, 445–448, 451, 456,
471, 473, 479–481, 483–487, 489–
496, 498–511, 515–517, 519–520,
522–523, 526, 528, 531, 534, 537–
540, 542, 546–558, 567–569, 571–
572, 574–575, 581, 583–587, 596,
640
framework, 4, 5, 22–24, 27, 67, 69–73, 87,
89, 91, 93, 97–98, 104, 113, 165,
172, 181, 185, 189, 193, 195, 234–
235, 309, 319, 342, 417, 431, 436,
479, 483–484, 490, 495–496, 499,
500, 516, 520, 522, 531, 555, 568,
581
mathematics, ix, 9–12, 14–16, 20, 22–25,
27, 56–57, 65–69, 74–77, 82–83,
87, 89, 90, 92–93, 97–101, 104–
105, 108, 112–114, 116, 139, 147,
151, 155, 165, 171–173, 181, 189–
193, 197, 212–213, 235, 309, 319,
342–343, 370, 403, 417, 424, 431–
432, 435–437, 445–447, 451, 456,
471, 473, 479–480, 483–487, 489–
490, 494, 496, 498, 500, 507–508,
510, 512, 515–517, 519, 522, 526,
528, 534, 537–540, 542–543, 546–
551, 553–558, 567–569, 596, 640
perspectives, ix, 4, 10–12, 14, 16, 25, 57,
72, 75, 82–83, 90, 93, 139, 173, 384,
448, 480, 484, 487, 489–490, 495,
526, 537, 540, 547–551, 553, 555,
557, 567–569, 574–575, 583, 585,
587
Theories
combining, 424, 481, 496, 528, 533–534,
557
compatibility, 495, 516, 519, 530, 534, 551–
553
global, 172–174, 233, 496
local, 108, 172, 175, 194, 215, 479, 485,
496, 501, 515–516, 537, 540, 548,
555–556
in mathematics education, 3, 4, 16, 58, 103–
104, 422, 424, 480, 483, 485–486,
500, 519, 537, 548, 553, 555–558
Theorizing, 4, 5, 25, 60, 69, 404, 486, 488, 496–
497, 516, 519, 537–539, 558, 569
Theory development, x, 3, 10–12, 14–15, 17,
35, 74, 122, 142, 145, 490, 498, 500–
502, 508, 510, 523, 528, 530, 537,
549, 552, 555
Three worlds of mathematics, 172, 183, 187,
189–190
TIMSS, 266, 455, 459
Training, 20, 57, 75, 80, 90, 124, 163, 300, 372,
374, 377, 401–402, 408, 410, 412–
413, 422, 425, 470, 489, 593
Truth, 7, 36, 53, 59, 102, 144, 202–205, 227,
311, 344, 355–356, 358, 365, 373,
383–388, 390, 438–440, 443, 469,
603, 635
Turkey, x, 455, 457–464
V
Van Hiele Levels, 175, 374
W
Way
of thinking, 221, 242, 270, 298, 355–356,
359–360, 362, 364, 436, 451, 576
of understanding, 355–356, 362, 365, 375
Ways of knowing, 432, 437–440, 442, 451, 456,
473, 594–597, 599–602, 604, 609–
610, 626
Women’s way of knowing, 432, 437–439, 456,
471
Z
Zone of proximal development (ZPD), 45, 102,
198, 552