521

AUTHOR INDEX

AAaron, W. R., 136Abdulhamid, L., 40, 290Aberdein, A., 370Abrahamson, D., 239Abtahi, Y., 164, 200, 307, 374Abu Qouder, F., 428Achmetli, K., 165, 434Aczel, J., 207, 251Adler, J., 199, 200, 282, 283, 292, 294,

467, 483Adu-Gyamfi, K., 92Afamasaga-Fuata’I, K., 94Aguilar, M. S., 246, 262, 507, 510Ahtee, M., 217, 231, 435Ainley, J., 76, 98, 246, 255Aké, L. P., 78Akkoç, H., 261, 262, 271Akkurt, Z., 360Aksoy, Y., 216, 432Alatorre, S., 52, 134Albarracín, L., 356, 395Alcock, L., 90, 321Aldon, G., 5, 30, 33, 498, 515Alexander, P. A., 420Alexandrou-Leonidou, V., 83, 431Alexopoulou, E., 257Alibali, M. W., 118Allal, L., 164Allan, D., 423Alqahtani, M., 135Alrø, H., 467Alsalim, L., 199Alston, A., 420Alvarez, I., 87, 88Alves Dias, M., 18Amado, N., 209, 262Amato, S. A., 46, 52, 205, 206

Amit, M., 76, 79, 176, 196, 205, 282, 320, 357, 366, 367, 375, 387, 388, 402, 403, 428

Andersin, K., 423Anderson, A., 199Anderson, J., 199, 431, 437, 495Andersson, A., 197, 282, 291, 421, 433,

436Andrà, C., 356, 365, 423, 431, 433Andrài, C., 204Angier, C., 174Anthony, G., 77, 454Antonini, S., 124, 126, 138, 216, 253,

254, 256, 322, 326, 327Appelbaum, P., 305, 451Arai, H., 113Arai, M., 131Araujo, S., 398Arcavi, A., 93–95, 421Arevalillo–Herráez, M., 99, 259Argun, Z., 207Ariav, T., 157, 175Ärlebäck, J. B., 383, 396, 397Armstrong, A., 291, 368Arnau, D., 99, 259Arnon, I., 53, 63, 192Artigue, M., 3, 5–9, 16, 18, 27, 29, 30,

32, 211, 242, 243, 399, 407, 503Arzarello, F., 5, 16, 20, 32, 118, 203,

204, 210–213, 240, 246, 250, 251, 263, 289, 290, 356, 453, 457, 458, 498, 514

Asghari, A. H., 81Ashcraft, M. H., 155Askew, M., 40, 290Asnis, Y., 217, 291, 423, 435, 438Aspinwall, L., 14, 137, 210Assmus, D., 356, 362

AUTHOR INDEX

522

Assude, T., 460Athanasiou, C., 421, 428Avramidou, A., 239Awtry, T., 93Aydin, E., 205, 397Azevedo, J., 206Azmon, S., 331

BBaba, T., 357Baber, S. A., 285, 291Baccaglini-Frank, A., 126, 216, 253,

254, 256, 258, 326Bairral, M., 240Baker, M., 52, 159, 491Bakhtin, M. M., 195, 290, 299–301,

303Bakker, M., 45Balacheff, N., 317, 318Baldino, R. R., 433Ball, D. L., 7, 23, 133, 179, 342, 483,

486, 487, 490, 491, 494Ball, L., 261, 262Ball, T., 196Bandura, A., 419Bansilal, S., 163Bara, B. G., 118Barabash, M., 200, 356, 404Barbosa, A., 357, 381Bardelle, C., 201, 282, 284, 285Bardini, C., 73, 79, 87, 205, 214, 216,

249, 272, 282, 290, 311, 457Barkai, R., 47, 337, 339, 340Barkatsas, T., 421Barmby, P., 205, 217, 359, 360, 419,

495Barnes, H., 195Baron, L. M., 215Baroudi, Z., 174Barquero, B., 17, 29Barreto, F., 206Barrett, B. S., 406

Barrett, J. E., 119, 121, 135, 208, 253Bartolini Bussi, M. G., 118, 204, 214,

249, 251Bartsch, K., 155Barwell, R., 275–306, 454Bass, H., 23, 133, 514Bassan-Cincinatus, R., 357Batanero, C., 3, 210Battista, M. T., 42, 112, 119, 254Baturo, A. R., 81, 428, 433, 466, 475Baya’a, N., 238Bayazit, I., 22, 91, 216, 432Bayazit, N., 128Bayik, F., 207Bayrhuber, M., 207Bazzini, L., 290, 457Beatty, R., 88, 210, 251Beaud, M., 293Beck, P. S., 119, 208Becker, J. R., 73, 77, 78, 196, 205Bednarz, N., 488, 504Behr, M., 54Beitlich, J. T., 64, 325, 356, 379Bellert, A., 251Ben-Chaim, D., 209, 373Benholz, C., 299, 311Benítez Mojica, D., 253Benke, G., 205Benko, P., 207Bennett, R., 168Bennison, A., 241, 244, 262Benz, C., 129, 131Berger, J. C., 196Bergqvist, E., 284, 285, 508, 514Bergqvist, T., 508, 514Bergsten, C., 202Berliner, D. C., 501Berman, A., 115, 370, 375, 426Bernack, C., 217, 435, 436Bernstein, B., 243, 282, 451, 458, 469Berube, B., 216Besamusca, A., 241, 262, 430

AUTHOR INDEX

523

Besser, M., 178Beswick, K., 216, 218, 419, 431, 432,

490, 510Beth, E. W., 190Beutler, B., 111Bevan, K., 42, 360, 377Beyranevand, M. L., 92Bieda, K. N., 124, 315–344, 493Biehler, R., 47Biggs, J. B., 131Bikner-Ahsbahs, A., 5, 20, 21, 24, 30,

95, 197, 211Bills, L., 76, 98, 246, 255, 495Bin Ali, M., 193Bingölbali, E., 6, 28, 194, 261, 262, 271Bishop, A. J., 421, 429Biton, Y., 174, 179, 242Bitta, M., 98, 105Bittar, M., 259Biza, I., 3, 17, 18, 23, 27, 431Bjerke, A., 429, 433Bjuland, R., 214, 283, 290Black, P., 160, 162, 168, 169, 173, 176,

180Blake, R. L., 72Blanton, M. L., 315Bloch, I., 18Blömeke, S., 488, 491, 492Blomhøj, M., 384, 385, 389, 393, 398Bloom, I., 354, 358, 365Blum, W., 12, 384, 388, 393, 397, 399,

402, 406, 407Board, J., 43Bobadilla, R., 49Bobis, J., 215, 431, 437, 495Boehm, E., 137, 263Boero, P., 3, 5, 20, 89, 109, 153, 189,

286, 316, 329, 333, 336, 353, 371, 392, 417, 460, 484

Boesen, J., 508Bofah, E., 426Bofferding, L., 58Boileau, A., 97, 247, 248, 263, 267

Bolden, D., 217, 419Bolite Frant, J., 43, 214, 290Bonotto, C., 55, 358, 368, 369, 373,

389, 390, 395Boon, P., 248, 249, 390Booth, J. L., 42Booth, S., 496Borba, M., 3, 238, 241, 245, 246, 262,

383, 500, 507, 511Borba, R., 206Borgersen, H. E., 214, 283, 290Borja-Tecuatl, I., 90Borromeo Ferri, R., 383, 384, 391Bosch, M., 29, 94, 392Bose, A., 454, 465, 470Bossé, M. J., 92Botzer, G., 238, 239Bourdieu, P., 451, 458, 469Boyes-Braem, P., 188, 230Bradford, K., 194Bragg, L., 369, 372, 429, 433, 497Brand, S., 389, 394Brandenburg, R., 43Brandon, P., 117, 421, 434Brantlinger, A., 217Braun, C., 200, 283, 309Breed, M., 161Breen, C., 189, 448, 459Breit, L., 507Bressoud, D., 26Bretscher, N., 261, 497, 513Brett, P., 420, 438Brilleslyper, M., 406Britton, S., 95Brizuela, B. M., 40, 207, 396Brockmann-Behnsen, D., 128, 326Broekman, H. G. B., 205, 291Broughton, S., 167, 260Brousseau, G., 24, 198, 202, 296, 392Brown, A., 7, 62Brown, J. P., 246Brown, J. S., 331Brown, M., 57, 208

AUTHOR INDEX

524

Brown, T., 194, 294, 422, 475Brownell, W.-A., 24Bruce, C. D., 110, 251, 433Bruder, R., 165, 207, 216, 226, 256,

371, 376Brukheimer, M., 16Brune, D. C., 210Bruner, J. S., 189, 190, 243Bruno, A., 41, 208Bryant, P., 123Bryk, A. S., 171Buchbinder, O., 317, 322, 323Büchter, A., 299, 311Budanov, A., 116Buehl, M., 419Buff, A., 401Bulbul, A., 332Bulmer, M., 435Busse, A., 488Buteau, C., 18, 256

CCabañas-Sánchez, M. G., 120Cabral, T. C., 433Cabrera, N., 41, 208Cabrita, I., 357, 381Caglayan, G., 90, 205, 209Cai, J., 153–157, 169–172, 175, 180,

209, 354–357, 361, 367, 368, 370, 375, 383, 385, 391, 393, 494

Calder, N., 255Callejo, M. L., 52Callingham, R., 216, 419, 490Camacho, M., 357Camargo, L., 113, 204, 244, 253, 254,

263Cambridge, L., 256, 282, 290, 311Campbell, M. P., 508Campbell, S. R., 64, 216, 423, 436Campos, T. M., 16, 18Canada, D., 285Canavarro, A. P., 210Cantoral-Uriza, R., 120

Cao, Z., 429Carante, P., 16Cardoso, P., 54Carlo, M., 82Carlson, L. F., 89Carlson, M., 12, 354, 358, 365Carnevale, A. P., 73Carpenter, T. P., 44, 365, 383Carraher, D. W., 88Carreira, S., 138, 209, 246, 253, 262,

359, 364, 374, 375Carrillo, J., 61, 432Carroll, C., 23, 492Carroll, J., 173Cassirer, E., 287Catholic, A., 433Cavanna, J. M., 294Cayton, C., 137, 263Cayton, G. A., 40, 207Cerulli, M., 242, 243, 290Cestari, M. L., 214, 283, 290Cetintas, S., 45, 71Chaachoua, H., 98, 105, 259Challis, N., 255Chan, Y.-C., 138, 204, 250Chang, C.-Y., 283Chang, G.-Y., 421, 428Chang, H., 127Chang, K.-Y., 358Chang, P., 282, 291, 294Chang, Y.-L., 209, 419, 429, 502, 513Chapman, O., 177, 292, 294–296, 342,

356, 370–372, 483, 484, 489, 500, 503, 505, 510

Charalambous, C. Y., 53, 206, 207, 355, 381, 486, 514

Charles, R., 358Chazan, D., 263, 320, 344, 493Che, S., 427, 435Cheeseman, J., 121Chen, C.-H., 79, 283Chen, D.-C., 132, 206Chen, J. W., 132

AUTHOR INDEX

525

Chen, J.-C., 506, 507, 513Cheng, H., 52, 491Cheng, Y.-H., 127, 138, 259, 334, 513Chernoff, E., 48, 317Chevallard, Y., 17, 94, 247, 392, 396Chiang, P.-C., 134Chiappini, G., 98Chick, H. L., 52, 159, 215, 491Chien, C.-T., 505Chin, C., 421, 503Chin, E.-T., 503, 505, 510Chino, K., 113Chiou, P., 429Chiu, M., 215Cho, H. H., 248, 256, 258Choi-Koh, S., 425, 436Chong, Y,-O., 127, 360Chorney, S., 136, 249, 421, 436Choy, B. H., 139Christou, C., 40, 117, 132, 191–193,

255, 322, 387, 395, 406Christou, K. P., 9, 50, 81Chrysostomou, M., 59, 322Chua, B. L., 80, 340Chumachenko (Chumachemko), D., 205Chung, J., 159Church, M., 426Cifarelli, V. V., 355, 357, 368Cimen, O. A., 64, 216, 423, 436Cirillo, M., 135, 155, 157, 172, 181,

340, 342, 383, 493Civil, K., 113Clark-Wilson, A., 5, 20, 21, 25, 30, 261,

498Clark, D. L., 24, 323Clark, I., 176Clarke, B., 43, 50, 53Clarke, D., 179, 197, 198, 291, 320,

369, 494, 499, 500Clarke, D. M., 43, 50, 53, 174, 178, 179Clarkson, P. C., 299Clement, J., 75Clements, D. H., 115, 119, 121, 208

Climent, N., 499Clow, D., 251, 252Clyatt, L., 176Coballis, C. M., 210, 211Cobb, P., 20, 189, 195, 196, 202, 203,

294, 296, 344, 423, 437, 512Coe, R., 57Cohen, N., 115Cole, Y., 486, 514Coles, A., 40, 64Collet, C., 165, 371, 376Collins, A., 331Collis, K. F., 131Common Core State Standards

Initiative (CCSSI), 315, 327, 328, 343, 344

Confrey, J., 235, 344, 448Conner, A., 432Connolly, M. B., 373Connor, J., 341, 432Consogno, V., 286Content, A., 206Cooney, T. J., 483, 485Cooper, H., 110Cooper, J., 20, 48, 490Cooper, T. J., 73, 77, 81, 83, 212, 283,

289, 428, 430, 433, 466Coppola, C., 216, 429Cornet, E., 62Cortes, V., 282, 292, 454, 475Cortina, J. L., 54Costa Jr., P. T., 436Cramer, J., 21, 326Crespo, S., 253, 262, 370Croset, M.-C., 98Croswell, M., 42, 360, 377Crouch, R., 384Crowley, L., 193Csikos, C., 44Cui, C., 64, 356, 379Cullen, C. J., 119, 121, 129, 208Cummins, J., 283, 300Cuoco, A. A., 253

AUTHOR INDEX

526

Currie, G., 201Curry, M., 122Cusi, A., 5, 33, 331, 498, 514, 515Czarnocha, B., 284, 285Czocher, J. A., 362, 397

DDa Rocha Falcão, J. T., 208Dagdilelis, V., 255Daher, W., 238Dahl, B., 285, 291, 400Dalton, S., 256, 282, 290, 309Damboise, C., 97, 247Danè, C., 240Darling, J., 275Dartnell, P., 49Davenport, L., 43David, M. M., 123Davis, B., 110, 195, 485, 487, 488Davis, G., 282, 290, 311Davis, P., 159Davis, R. B., 190, 191Davis, T. A., 195Davydov, V. V., 84, 195Dawe, L., 299Dawson, S., 483De Araujo, Z., 370De Bock, D., 122, 128, 205, 209, 363De Corte, E., 356, 357, 381De Hoyos, M., 362de Villiers, M., 315De Vleeschouwer, M., 17DeBellis, V. A., 215, 354Dede, C., 507DeFranco, T. C., 365, 375Del Valle, R., 371Delaney, S., 207Delice, A., 62, 205, 207, 255, 397Delikanlis, P., 373Deliyianni, E., 55, 129, 206, 207, 217DeMarois, P., 193Demers, S., 290Demir, S., 262, 271

Demosthenous, E., 84Deng, F., 356, 381DePaepe, F., 356, 488, 491Department for Education, 315, 343Depue, B. E., 64Desrochers, D. N., 73DeVault, M., 353de Vries, E., 209Dewolf, T., 209, 358, 363Department for Education and Skills

(DfES), 41Di Martino, P., 216, 419, 424, 429, 431,

433, 435Diallo, P., 249, 272, 282, 290, 311Diamond, J., 432Dias, C., 166Dias, S., 163Dickerson, D. S., 325, 340, 341Dickinson, P., 371Dietrich, E., 188Diezmann, C., 41, 111, 112, 210Dimmel, J. K., 128, 340, 341Dinçer, S., 332Dindyal, J., 136, 207, 356, 381Ding, L., 136Ding, R., 251DiSessa, A., 189, 244Dochy, F., 172Doerr, H. M., 340, 341, 383–385, 387,

492, 504Dogan-Dunlap, H., 91Dogan, M. F., 317, 322, 323Dogbey, J., 360Dohrmann, C., 123Döhrmann, M., 488Doig, B., 159Dole, S., 64, 168, 469Dolev, S., 126, 319Dolores-Flores, C., 95, 216Donovan, R., 173, 215Dooley, T., 11, 196, 286Doorman, M., 248, 249, 390, 396,

406, 503

AUTHOR INDEX

527

Doritou, M., 41Dost, K., 8Douek, N., 198, 316, 329, 333Dougherty, B. J., 372Doyle, K., 365Drageset, O. G., 490Dreher, A., 55, 205, 206, 262, 429, 430,

495, 497Dremock, F., 383Dreyfus, T., 5, 10, 16, 21, 32, 33, 47,

93, 94, 124, 126, 210, 211, 213, 325, 336–339, 463

Drijvers, P., 94, 97, 241, 242, 247–249, 255, 262, 263, 389, 390, 430

Droujkova, M., 208Dubinsky, E., 7, 53, 62, 63, 91,

190–193, 397Duma, B., 299, 303Durand-Guerrier, V., 18, 31n1, 316, 328Duus, E., 428, 466Duval, R., 4, 12, 13, 21, 111, 117,

128–130, 135, 140, 203, 204, 316, 342

Dvora, T., 124

EEade, F., 371Eames, C. L., 119, 208Ebbelind, A., 243Echeverry, A., 244, 254, 263Edmonds-Wathen, C., 285, 291, 299,

300, 302, 303Edwards, L., 110, 118, 211–214, 283,

289, 290, 321Eichler, A., 23, 209, 216, 419, 421, 429Eisenmann, T., 84Ekman, P., 420Ekol, G., 59El Mouhayar, R. R., 89Eleftherios, K., 426, 427Elia, I., 55, 77, 91, 111, 115, 129, 206,

208, 212, 217, 219, 360, 364, 419

Eliasson, J., 238Elkonin, D. B., 84Ellemor-Collins, D., 44Ellerton, N., 155, 299, 367Elliot, A., 420, 426Ellis, A. B., 317, 320, 322, 323, 328Ellis, J., 26Emvalotis, A., 125, 129, 249, 253, 254Engeström, Y., 423, 437, 451, 460Engle, R. A., 344English, L. D., 16, 24, 357, 358, 365,

371, 383–408Epp, S. S., 316Epstein, Y. M., 420Eracleus, A., 91Erbilgin, E., 510Erens, R., 23, 216, 419, 421, 429Eriksen, E., 429Ernest, P., 41, 203, 204, 419Escandón, C., 93Escudero, D. I., 246, 262, 507, 510Esmonde, I., 291Essien, T., 299Esteley, C., 398Estes, W. K., 188Evangelou, K., 212Evans, J., 471, 472Even, R., 84, 126, 319, 344n4, 486, 487Ewing, B., 428Eylon, B.-S., 115

FFarmaki, V., 83, 191Fasteen, J., 429Felton, M. D., 202Fennema, E., 44Fennewald, T., 385Fenstermacher, G., 423Ferguson, S., 121Fernandes, S., 81, 210, 211, 250Fernández Plaza, J. A., 284, 285Fernández, C., 52, 122, 506

AUTHOR INDEX

528

Fernandez, M. L., 510Ferrara, F., 113, 114, 118, 204, 211,

213, 214, 236, 239, 243, 254, 290, 356, 457

Ferrini-Mundy, J., 19, 63Fesakis, G., 259, 364Fielding-Wells, J., 128, 329Figueras, O., 135Filloy, E., 90Findell, B., 345, 348Fischbein, E., 6, 7, 128, 133, 189, 342Fischer, F., 337, 338, 349Fives, H., 419Flores, E., 246, 262, 432, 507, 510Flores, P., 134Flynn, T., 433Fonseca, L., 357, 381Font, V., 176, 204, 210Foreman, F. E., 195Forgasz, H. J., 25, 262, 417, 418, 420,

427, 429, 433, 436, 438Forman, E., 200Forster, F., 356, 362Fortuny, J. M., 248, 254, 283, 294Foster, C., 356, 370, 489, 490Foster, D., 173Foucault, M., 306, 458, 459Frade, C., 120, 194, 216, 421, 422, 428,

432, 435Francisco, J., 91, 92, 218Frant, J., 43, 214, 289, 290Freire, P., 197, 297Frenzel, A., 420Freudenthal, H., 42, 54, 387, 389Fried, M. N., 205, 320Friesen, W. V., 420Fritzlar, T., 356, 362Fuglestad, A. B., 128, 214, 244, 256,

262Fujita, T., 125, 126, 130, 133, 137, 259,

320, 329, 334Fumihiro, O., 251Furinghetti, F., 193, 243, 330, 418

Fuson, K. C., 44, 155

GGabel, M., 47, 337, 338Gabriel, F., 206Gadanidis, G., 238Gafanhoto, A. P., 210Gagatsis, A., 55, 77, 91, 111, 115, 129,

131, 187–219, 356, 360, 419, 425Gainsburg, J., 405Gal, H., 136Galbraith, P., 12, 384, 388Galindo, E., 338, 421, 430Gallardo, A., 58Galligan, L., 435Gamboa, F., 368Garber, T., 170, 171, 181García-Alonso, I., 282–284García-Cruz, J. A., 282–284García, F. J., 385, 392García, M. S., 95, 201, 288, 294, 423Garcia, R., 190Gardner, K., 24, 197Garuti, R., 316, 329, 498, 514Gascón, J., 29, 392Gates, P., 278, 447, 448, 452Gattermann, M., 216, 427Gavrillis, K., 250Gazzolo, T., 286Gebremichael, A. T., 511Gee, J. P., 422Geiger, V., 64, 168, 383, 387, 469Geraniou, E., 82, 257Gerofsky, S., 291Gerretson, H., 360Gerson, H., 91Gervasoni, A., 42, 43, 360Getenet, S. T., 256Ghesquière, P., 44Gholamazad, S., 201, 291, 337, 338Ghousseini, H., 355, 381Gibbs, R. W., 129Gibson, J. J., 246

AUTHOR INDEX

529

Gijbels, D., 172Gilat, T., 366, 367, 388, 402, 403Gilbert, B. J., 175, 294, 423, 492, 493Gilbert, M. J., 175, 294, 423, 492, 493Gilbertson, N. J., 323Gilboa, N., 10, 21Gillham, J., 423Gilmore, C. K., 44, 57, 191Gimenéz, J., 176Ginat, D., 124Ginsburg, H. P., 494Giraldo, V., 27, 59, 204, 209Girnat, B., 216Giroux, H., 293, 295, 305, 306Gisbergen, S. V., 249, 390Gjone, G., 210Gkolia, C., 251Glancy, A. W., 406Godino, J., 78, 210Goedhart, M., 247Gol Tabaghi, S., 214, 245, 254, 282Goldenberg, E. P., 253Goldin, G. A., 12, 13, 215, 216, 354,

418, 420, 422, 428, 438Goldman, S., 260Goldsmith, L. T., 23, 504Gomes, A., 28, 160, 161Gómez-Chacón, I. M., 87, 88, 422, 427Gomez, C., 432Gomez, D. M., 49, 51Gonulates, F., 120González-Calero, J. A., 259González-Martín, A. S., 3–31, 59, 204,

209, 210González, E., 134González, G., 216Gonzato, M., 78Goodchild, S., 128, 423, 430, 454, 467,

500, 506Goodwin, K., 167Goos, M., 5, 33, 64, 168, 197, 241,

244, 262, 399, 432, 468, 469, 498, 510, 515

Gooya, Z., 136Gorgorió, N., 195, 356, 395, 421, 429Gosen, D., 355, 381Gourdeau, F., 58Graham, A., 88Graham, L., 251Grant, E., 428, 430, 433Grant, T., 52Gravemeijer, K., 5, 30, 33, 94, 248,

355, 366, 375, 383, 390, 396, 406, 507

Graves, B., 195Gray, E. M., 5, 22, 33, 41, 60, 190–193,

362Gray, W. D., 188, 230Greefrath, G., 399Green, T. F., 424Greenes, C., 209Greer, B., 128, 357, 381, 383Gress, D., 276Grier, L., 157Grigoraş, R., 389Grootenboer, P., 215Groß, C., 334Grugnetti, L., 355Gu, L., 496Guala, E., 371Guberman, R., 200, 356, 404, 496Güçler, B., 19, 282Guebert, A., 45, 71Gueudet, G., 3, 4, 18, 28, 249Guidoni, P., 207Guillemette, D., 297Guillén, G., 134, 135Guisti, V. H., 16Gunnarsson, R., 46, 82Gurion, B., 196Gürsoy, E., 299, 311Guskey, T. R., 430, 500Gutiérrez, A., 3, 109, 153, 189, 253,

326, 353, 417, 484Gutiérrez, R., 462Guven, B., 129, 130

AUTHOR INDEX

530

Guzmán, I., 204Guzman, J., 97, 214, 247, 248, 263,

267, 282, 290, 358, 453, 457

HHabermas, J., 89, 326, 333, 392Haciomeroglu, E. S., 14Hadden, T., 42, 43, 360, 377Hadjittoouli, K., 212Hähkiöniemi, M., 91, 92, 136, 436Haines, C. R., 384Haj-Yahya, A., 116, 126, 131, 207, 325Haja, S., 135, 179, 253, 262Halai, A., 458Halford, G. S., 383Hallagan, J. E., 89Hallman-Thrasher, A., 341, 432Halmaghi, E., 216Halmos, P., 353Halverscheid, S., 216, 217, 389, 419,

435Hamann, M. S., 155Hamilton, E., 406Hamm, P. J., 210, 211Han, D-H., 127, Han, S., 358, 363, 366Hanna, G., 315Hannah, J., 43, 95, 193, 421, 433Hannula, M. S., 9, 50, 217, 417–438, 502Hanson, T., 23, 492Hardi, N., 17Hardt, M., 276Hare, A., 96Harel, G., 3, 4, 6, 17, 25, 127, 316, 318,

368, 496Harlen, W., 173Harries, T., 205, 359Harth, H., 398Haspekian, M., 5, 33, 246, 498, 515Hassan, S., 250Hattermann, M., 138Haug, R., 253, 356

Healy, L., 76, 81, 210, 211, 250, 252, 318, 324, 364

Hedberg, J., 113, 137, 240Hedges, L. V., 110Heemsoth, T., 57, 160Heffernan, C., 260Heffernan, N., 260Hegedus, S. J., 16, 113, 216, 221, 237,

239, 256, 282, 290Heid, M. K., 97, 122Heinze, A., 44, 57, 124, 160, 216, 283,

299, 300, 324, 325, 334–336, 350, 420, 421, 426, 428, 433, 503

Heirdsfield, A., 41, 43Helenius, O., 508, 514Heller, K. W., 241Hemmings, A., 292Henderson, J., 95Hendrikse, P., 62Henn, H., 12Henningsen, M., 369Henriques, A., 205Herbel-Eisenmann, B., 282, 291, 292,

454, 475Herbst, P. G., 128, 263, 340–343, 460,

493Hermens, F., 209, 358, 363Hernandes Gomes, G., 28Hernandez, A., 58Hernandez-Martinez, P., 167, 260, 398,

428Hernell, B., 46, 82Hershkovitz, S., 189, 242Hershkowitz, R., 4, 5, 10, 33, 114,

116, 126, 130, 131, 207, 325, 331, 336, 463

Herwartz-Emden, L., 283, 299, 300, 309Hewitt, D., 81, 245, 257Heyd-Metzuyanim, E., 200, 282, 421,

435, 438, 454, 463Hiebert, J. C., 44, 365Higgins, J., 205

AUTHOR INDEX

531

Higgins, S., 207, 359Highfield, K., 113, 137, 211, 240, 243Hino, K., 76, 201Hiraoka, K., 360Hitoshi, A., 251Hitt, F., 3–31, 210, 247, 267Ho, F. H., 47, 48, 356Ho, S. Y., 52, 421Hoch, L., 176Hoch, M., 93, 94, 96, 242Hodge, L. L., 294, 296Hodgen, J., 57, 208, 487Hodgson, B., 207Hoffman, A., 58Hofstede, G., 489Høines, M. J., 294, 467Hole, B., 387Hollebrands, K., 137, 263, 269Hollenbeck, R., 493Hollingsworth, H., 500Holmqvist, K., 356Holzäpfel, L., 217, 221, 435Hölzl, R., 137, 364Hong, Y. Y., 21, 256, 498Hoover, M., 387Hord, C., 45Horne, M., 43, 131, 217, 428Horvath, A., 25Hosein, A., 251, 252Hošpesová, A., 357Howard, P., 433, 435Howson, A. G., 153, 154Hoyles, C., 76, 80, 82, 245, 248, 257,

315, 318, 324, 340, 364, 406, 407Hsiao, C., 167Hsieh, F.-J., 23, 283Hsieh, K.-J., 129, 132Hsu, H.-Y., 207, 324, 506–508, 513Huang, C.-H., 388, Huang, H.-M. E., 120–122, 255Huang, R., 127, 209, 218, 331, 486,

494, 496Huckstep, P., 487, 496

Hughes, J., 238Hughes, E. K., 344Human, P. G., 44Hume D., 289Hung, H.-C., 294Hung, P., 167Hunter, J., 77Hunter, R. K., 195, 282, 291, 294, 299,

305, 428, 433, 454Hurang, H., 356Husen, T., 153, 154Hussain, M. A., 292, 297Hwang, S., 155, 170, 180, 181

IIannece, D., 64, 207Iannone, P., 4Ikonomou, A., 111Ilany, B.-S., 284, 373, 383, 496Inamdar, P., 98, 105Inglis, M., 44, 57, 191, 370, 375Ingram, N., 201, 421Inhelder, B., 189Ioannis, P., 82Iranzo, N., 299, 466Iscimen, F. A., 216, 340–342Iwabuchi, S., 210, 211Iwasaki, H., 60Izard, J., 161Izsák, A., 52, 205, 206

JJablonka, E., 202, 460Jacinto, H., 138, 246, 253, 359, 364,

374Jackiw, N., 252Jacobson, E. D., 370Jahn, A. P., 18Jakobsen, A., 52Jakubowski, E., 128James, A., 163, 252Jan, I., 282Janßen, T., 95

AUTHOR INDEX

532

Janssens, D., 363Janvier, C., 12, 13Jaquet, F., 355Jared, L., 491Jarvis, D., 255Jaworski, B., 454, 461, 467, 483, 500,

506Jayakody, N. G., 201Jaycox, L., 423Jensen, T. H., 384, 389, 393, 400Jervis, A., 251Jiang, C., 155, 361, 367, 368, 375Jimenez, A., 49Jin, X., 25Johnsen Høines, M. J., 467Johnson, C., 291Johnson, D. M., 188, 230Johnson, H. L., 12, 24, 45, 97, 99, 197,

202Johnson, J. L., 8Johnston-Wilder, S., 88Jones, I., 57, 258Jones, J., 119, 120, 125, 126, 130, 133,

136, 137, 259, 420, 438Jones, K., 244, 254, 320, 329, 334Jorgensen (Zevenbergen), R., 436, 458,

459, 465Jorgenson, R., 260Joutsenlahti, J., 133Julie, C., 383Jungwirth, H., 256, 263Jurdak, N. E., 89

KKaasila, R., 45, 46, 363, 424, 429, 430,

502Kafoussi, S., 208, 259, 364Kahn, K., 257Kahn, L. H., 283Kail, M., 188Kaiser, G., 383–385, 387, 391, 488,

489, 491, 492, 500, 501Kaldrimidou, M., 209

Kaleva, W., 122Kalogeria, E., 24, 249, 263, 510Kalogirou, P., 55, 111, 115, 129, 131,

206, 425Kang, O.-K., 493, 495Kantor, H., 294Kaput, J. J., 77, 237Karamian, A., 136Karantzis, I., 363Karp, A., 362Katsigiannis, K., 10Katz, E., 370, 426Kaufmann, J.-C., 293Kaur, H., 123, 130, 201, 214, 244, 254,

255, 282Kawass, S., 355Kazak, S., 235, 448Kedem, I., 342Keisoglou, S., 250Kelchtermans, G., 488Kelly, A., 387Kelly, K., 260Kelly, P., 276Kempen, L., 47Kenney, R., 45, 71Kent, P., 3, 28Keret, Y., 373Kertil, M., 205, 397Ketelhut, D. J., 507Khisty, L. L., 300, 301, 303Khmelivska, T., 64, 356, 379Khosroshahi, L. G., 81Kidman, A. D., 423Kidman, G., 428, 430Kidron, I., 5, 6, 10, 21, 32, 211, 330Kieran, C., 73, 75, 76, 81, 84, 86, 87,

89, 93, 97, 98, 101, 200, 242, 247, 248, 255, 258, 263, 267

Kieren, T., 53Kiesler, D. J., 436Kilhamn, C., 58Kilpatrick, J., 342, 483Kim, D.-J., 19, 63

AUTHOR INDEX

533

Kim, H. K., 256Kim, J.-H., 127Kim, M.-J., 202, 366Kim, Y., 486, 514Kimihno, C., 251Kingston, N., 168Kirshner, D., 75, 93Kirtley, K., 437Kislenko, K., 217, 225, 431Kita, S., 118Kjeldsen, T. H., 398Klassen, R., 215Kleanthous, I., 282Klinshtern, M., 370, 375Klothou, A., 161, 282, 292Knapp, J., 320Knipping, C., 282Knott, K., 201Knott, L., 201Knuth, E., 315, 317, 318, 322, 323, 328,

342Ko, E.-S., 127, 360Ko, Y.-T., 127, 505Koehler, M. J., 490, 497Koh, K., 177, 495Koichu, B., 60, 115, 174, 367, 368, 370,

375, 426Koirala, H. P., 91, 426Koistinen, L., 177Koizumi, Y., 201Koleza, E., 116, 254, 362Kollar, I., 316, 337, 349Kolovou, A., 364Komatsu, K., 125, 137, 317Komorek, E., 371, 376Kondo, Y., 125Kongtaln, P., 136König, J., 488Kontorovich, I., 367, 375Korkmaz, H., 205Kortenkamp, U., 63Kospentaris, G., 129Kotsopoulos, D., 421

Koukiou, A., 257Koukkoufis, A., 58, 59Kouropatov, A., 10Koyama, M., 218Krainer, K., 461, 483, 498–500, 502,

503, 505, 506, 509, 510, 513Krug, A., 165, 358, 388, 401, 421, 428,

434Krummheuer, G., 316Krzywacki, H., 177, 422, 511Ku, S., 210Kuchemann, D., 57, 75, 208Kuhnke-Lerch, I., 216Kullberg, A., 51Kulm, G., 157Kumakura, H., 125, 320Kunimune, S., 125, 137, 320, 329Kuntze, S., 55, 127, 159, 205, 206, 216,

217, 262, 334–336, 429, 430, 432, 495–497

Kurz-Milcke, E., 496, 517Kuzle, A., 123Kwon, M., 486, 514Kwon, O. N., 202, 383, 404Kynigos, C., 98, 113, 123, 233, 250,

252, 257, 269, 510Kyriakides, A. O., 55

LLaakso, J., 217, 421, 424Labaree, D., 275, 294Laborde, C., 235, 246, 507, 512Ladel, S., 63Lagrange, J.-B., 16, 247, 262, 399, 406,

407Lai, M. Y., 52Laine, A., 424, 429Lakoff, G., 8, 188Lamb, J., 41, 43Lampert, M., 40Lange, D., 362Larkin, K., 216, 436Latsi, M., 123, 257

AUTHOR INDEX

534

Lautret, S. L., 46Lave, J., 199, 203, 255, 451, 453, 465,

511Lavicza, Z., 255Lavonen, J., 177Lavy, I., 135, 166, 258, 359, 428Law, H., 421Le Roux, K., 282, 291Leach, J., 507, 512Lecluse, A., 114, 121Leder, G. C., 25, 215, 417, 418, 420,

427, 433, 436, 438Lee, A., 138, 245Lee, C., 295Lee, D.-H., 360Lee, J. Y., 248, 258Lee, K.-H., 127, 157, 333, 360, 363,

366, 486, 507, 517Lee, M. L., 248, 258Lee, M. Y., 139Lee, S.-Y., 371Lee, Y. H., 10, 176Lehrer, R., 344, 406Lehtinen, E., 51Lei, K.-H., 128Leikin, M., 22, 356, 364–366Leikin, R., 22, 353–376Leinonen, J., 45Leiss, D., 178, 384, 388, 397, 399, 402Lemke, J. L., 202Lemut, E., 329Leong, Y. H., 47, 48, 356Lepak, J., 321Lepik, M., 217, 225, 431Leppaho, H., 356Lerman, S., 165, 194, 195, 202, 205,

218, 235, 243, 263, 264, 275, 278, 362, 421, 429, 432, 433, 437, 448, 451, 454, 456, 458, 460, 462, 469, 471, 483, 492, 495, 496, 517

Leron, U., 496Lesh, R. A., 54, 383–385, 387, 395,

406, 407

Lester, F. K., 355, 358, 365, 397, 406Leu, Y. C., 159, 367, 421Leuders, J., 176, 217, 221Leuders, T., 176, 207, 435Leung, A., 126, 132, 138, 245, 253,

254, 258, 282Leung, E. C. K., 367Leung, F., 132, 166, 168Leung, S.-K. S., 79, 205, 294, 326Lev, M., 366, 375Levav-Waynberg, A., 356Levenson, E. S., 48Lew, H. C., 138, 254, 255, 256, 359,

374, 400, 406Lewis, C., 504Lewis, G., 423, 424, 428, 437Lewis, J. M., 486, 487, 514Lewis, M., 217Li, S., 486Li, W., 329Li, Y.-F., 52, 129, 218, 501Lien, Y. W., 138, 259Lijnen, T., 49Lilburn, P., 372Liljedahl, 317, 417–438, 502, 511Lim, C., 299Lim, K. V., 81, 86, 97, 210, 211Lin, F.-C., 421Lin, F.-L., 124, 127, 136, 325, 330, 333,

334, 483–514Lin, I., 159, 167Lin, J. P., 205Lin, M.-L., 125, 322, 323Lin, P.-J., 501, 509Lin, T.-W., 116Lin, Y.-C., 251, 505Linchevski, L., 16, 75, 83, 430Lindgren, R., 239Lindström, P., 356Ling, L. M., 52Liora, H., 176Lipowsky, F., 401Lipowsky, W., 44

AUTHOR INDEX

535

Lithner, J., 22, 508, 514Liu, J., 251Livesey, C., 42, 360, 377Livneh, D., 83Llinares, S., 498–500, 502, 505, 509Lloyd, G. M., 157, 174Lo, J.-J., 52, 330, 367Loade, B., 467Lobato, J., 320Lockwood, E., 317, 322, 323, 328Lode, B., 294, 467Löfström, E., 435, 436Logan, T., 112, 260Loh, H. C., 340Looney, J., 173Lopez-Real, F., 326Lowrie, T., 41, 111, 112, 117, 210, 260Lozano, M.-D., 78, 87, 248, 397Lu, F.-L., 128Lubienski, S., 342Lucus, C., 23Lunney Borden, L., 285, 291, 299, 302,

304Luo, F., 367

MMa, H.-L., 77, 129, 132, 206Ma, X., 251Maass, K., 384, 503MacGregor, M., 75Machado, M., 421, 428Machado Souto, A., 59Mackrell, K., 264Maeda, Y., 42Maes, R., 62Maffei, L., 98, 105, 164, 204, 250, 259Maher, C. A., 80, 207, 210, 361, 373Maier, A. S., 129, 131Maier, M. A., 420Maijala, H., 9Makar, K., 128, 285, 329Malara, N. A., 331Males, L. M., 120, 323

Mamede, E., 54Mammana, M. F., 113, 114, 254Mamolo, A., 7, 8, 39–65Mamona-Downs, J., 325, 354, 355Manaster, A., 127, 368, 496Mandler, B., 356Mandler, D., 200, 404Manu, S., 299Manzanero, L., 94, 107Maracci, M., 433Marceness, M. I., 216Marchini, C., 46Marcou, A., 164, 165, 218, 362, 421,

425Margolin, B., 284, 383Mariotti, M. A., 4, 15, 16, 98, 126, 164,

204, 216, 242, 249, 250, 253, 254, 259, 315, 316, 318, 326, 343

Markman, A. B., 187, 188Markopoulos, C., 257, 363Markovits, Z., 40, 115Marquez, M., 52Marrongelle, K., 3, 23, 25, 26, 29, 30,

32, 508Marschick, F., 44Marshall, N., 256Martignone, F., 138, 204, 326, 498, 514Martin, A., 215Martin, L., 498Martinez, C., 97, 358Martinez, M. V., 88, 329, 396Martínez Planell, R., 92Martinez, S., 217, 231, 435Martínez-Sierra, G., 95, 216Marton, F., 245, 496Maschietto, M., 8, 18, 31, 118, 214Mason, J., 51, 73, 74, 76, 245, 322, 495,

496, 497Mason, R., 58Mastorides, E., 27Masuda, Y., 123Mathews, C., 40, 290Matos, J. F., 124, 330

AUTHOR INDEX

536

Matsuo, N., 124, 130, 131Mattheou, K. K., 255Matthews, C., 81Maturana, H. R., 195Maujala, H., 50Mavrikis, M., 82, 257Mavrou, K., 262, 436Mawer, R. F., 365Mayer, R. E., 215McClintock, E., 45McCloskey, E. M., 507McCrae, R. R., 436McCrone, S., 135, 253McDonald, M. A., 7, 49, 62, 397McDonald, S. E., 209McDonough, A., 119, 121McGatha, M. B., 97McGowen, M., 193McLeman, L. K., 283, 310McLeod, D. B., 418, 420, 426, 427,

429, 437McMillan, J. H., 168McNab, L. S., 205McNeill, D., 210, 211, 213, 243McPherson, R., 210, 251Meagher, M., 217Meaney, T., 462Meira, L., 194, 422, 432Mejia-Ramos, J. P., 321, 375Meletiou-Mavrotheris, M., 262, 436Mellin-Olsen, S., 451Mellone, M., 52, 64, 291Melo, S. M., 217, 428Mendiola, E., 52, 134Menéndez-Gómez, J. M., 283, 310Mercer, N., 195Merenluoto, K., 51Meron, R., 52, 56Merschmeyer-Brüwer, C., 111Mervis, C. B., 188, 230Mesa, V., 18, 207, 282, 291, 294Mesiti, C., 291Messner, R., 402

Metsämuuronen, J., 424, 426Metz, M.H., 292Mewborn, D., 342Meyer, A., 82Meyer, M., 291Michael, P., 55, 129, 206, 425, 428Michael, S., 129, 206Middleton, D., 451, 460Mikio, M., 251Milfeldt, M., 18, 28Milinković, J., 205, 495Miller, A. L., 121Miller, J., 77, 78, 212, 283, 289Mina, M., 398Minh, T., 247Ministry of Education and Culture,

Finland, 58Miranda, I., 214, 282, 290, 453, 457Miriam, A., 176Misailidou, C., 291Mishra, P., 490, 497Mitchell, A., 53, 178Mitchelmore, M. C., 87, 122, 132, 206Miyakawa, T., 126, 128, 319, 340, 341,

342Miyazaki, M., 113, 126, 137, 259, 334,

335Mizzi, A., 139Molina, O., 113, 204, 244, 253, 254, 263Moll, G., 64, 356, 379Mollo, M., 216, 429Monaghan, J., 6, 28, 194, 239, 255,

292, 297, 407Monoyiou, A., 129, 161, 205, 207, 254,

339, 342Montes, M., 61Moore, K., 428, 466Moore-Russo, D., 133Moore, T. J., 406Moral, R., 110, 114, 118Moran, A. L., 406Morasse, C., 13, 210Moreno-Armella, L., 16

AUTHOR INDEX

537

Moreno, F., 52Morera, L., 248, 254, 283, 294Morgan, C., 201, 291, 292, 454, 462,

463, 464Morgan, S., 135Moroglou, M., 209Morozumi, T., 113Morris, K., 157Morris, N., 203Morrow-Leong, K., 206Morselli, F., 48, 89, 193, 243, 315–345,

371, 392, 433, 493Moschkovich, J., 196, 291Moss, J., 88, 130, 244, 254, 433Mousoulides, N., 59, 132, 384–408,

421, 426, 429Moustaki, F., 98, 113, 257Moutsios-Rentzos, A., 133, 204Moyer, J., 156, 169, 170, 181Moyer-Packenham, P. S., 206, 258Mudaly, V., 133, 383Mulat, T., 421Muller, E., 256Müller, M., 402Mulligan, J., 113, 137, 206, 211, 240,

243, 299Muñoz-Catalán, M. C., 499, 500Murphy, B., 496, 513, 517Murphy, C., 42, 43Murphy, P. K., 420Murray, H. G., 44Musanti, S. I., 283, 310Musgrave, S., 12

NNa, G. S., 127, 176, 363, 366Nachlieli, T., 200, 282, 435, 436, 463Naftaliev, E., 16, 99, 258, 359Naidoo, M., 163Naik, S., 54Nardi, E., 3, 4, 17, 18, 20, 23, 27, 32,

187–219, 431

Naresh, N., 196, 421Narli, O., 62Narli, S., 62Narode, R., 43Nash, B., 168Nathan, M., 202National Council of Teachers of

Mathematics (NCTM), 205Negri, A., 276Neill, A. S., 293Nejad, M., 372, 421, 431, 437, 497Nemirovsky, R., 8, 9, 211, 218Nenduradu, R., 205Neria, D., 76, 79Neubrand, M., 486Neumann, A., 291Newman, S. E., 331Ng, D., 423Ng, O.-L., 109, 118, 132, 201, 214,

240, 245, 254, 282, 290Nicaud, J. F., 98, 259Nickerson, S. D., 330NicMhuirí, S., 194Nicol, C., 369, 372, 373, 429, 433,

497, 513Nicol, D., 164Nie, B., 156, 169, 170, 181Nikolaou, A. A., 56Nilsen, H. K., 92Niss, M., 12, 384, 388, 393, 399, 400, 500Nkambule, T., 299, 303Nobre, S., 209Nogueira de Lima, R., 16, 90Noh, J., 493Nordenbo, S., 275Nortvedt, G., 166Noss, R., 28, 82, 245, 248, 257Novotná, J., 93, 96, 357, 483Noyce, P., 173Nunes, T., 54, 208Núñez, R., 8Nyikahadzoyi, M. R., 92

AUTHOR INDEX

538

OOates, G., 256Obersteiner, A., 49, 64, 356Ocal, M. F., 218Odell, S. J., 217O’Donovan, B., 173O’Donovan, R., 215, 419Ofri, O., 254Ogihara, F., 113Oguchi, Y., 113Ohtani, M., 30, 136, 282, 500Oikonomou, A., 110Okazaki, C., 217Okazaki, M., 126, 130Oksanen, S., 430, 437Okta☐, A., 90, 94, 107Okumus, S., 129, 130, 262Olive, J., 63, 90, 204, 205, 209, 250, 254Olivero, F., 126, 246, 254Olivier, A. I., 44Olkun, S., 360Olson, J. C., 177, 201, 217, 421, 434, 437Olson, M., 177, 217, 421, 434Olszervski, J., 8Olvera, F., 135Or, A., 132, 138Or, C. M., 126, 253Orrill, C., 216, 221O’Shea, H., 369Österholm, M., 422Österling, L., 421, 436Otten, S., 323Outhred, L., 110, 114, 119, 122, 128Owens, K., 109, 110, 113, 114, 119,

122, 128Özdemir, A., 168Özgün-Koca, A., 98, 216, 251Ozmantar, M. F., 261, 262

PPace, J., 292Pacelli, T., 216, 429, 435Pakang, J., 136

Paksu, A. D., 134Palandri, N., 216Palm, T., 508, 514Palmberg, B., 508, 514Palmér, H., 243Pampaka, M., 159, 419Panaoura, A., 55, 164, 206, 217, 360,

419, 425Panaoura, G., 164Panasuk, R. M., 92Pang, J. S., 40, 497, 502, 506Panorkou, N., 112, 248Panoutsos, C., 363Panpura, A., 91Pantziara, M., 421, 426, 428, 435Paola, D., 16, 118, 193, 204, 213, 243,

246, 250, 251, 263, 453, 458Papadopoulos, I., 46, 255Papageorgiou, E., 373Papageorgiou, P., 254Papandreou, M., 208, 364Papert, S., 239, 245Parish, L., 42, 360, 377Park, J. Y., 251, 357, 428Park, K., 132Park, M.-M., 127, 360Park, M.-S., 127Paschos, T., 191Passeron, 451Paterson, J., 421, 433Patsiomitou, S., 116, 125, 126, 129,

247, 249, 253, 254Patton, C., 237, 272Pea, R., 238Pedemonte, B., 98, 333Pedrick, L., 420, 438Pegg, J., 190, 251Pehkonen, E., 9, 45, 46, 50, 363, 418,

424, 429, 435Peirce, C., 79, 118, 203, 249Pekrun, R., 402Pelczer, I., 368Peled, I., 52, 56, 357, 372, 496

AUTHOR INDEX

539

Pelesko, L., 383Pellegrino, J., 260Perger, P., 216Perrusquía, E., 16, 209Perry, B., 433, 435Perry, P., 113, 204, 244, 253, 254,

263Pesonen, J. A., 420, 425, 436, 438Petropoulou, G., 25Petrou, M., 491, 513Phakeng (Setati), M., 458, 464, 465Pham, T., 52, 491Phelps, G., 179, 486, 490, 514Philipp, R., 429Philippou, G. N., 83, 161, 164, 339,

421, 425, 426, 428, 431, 435Phillips, N., 210, 211Piaget, J., 189, 190Picard, T. D., 6Pierce, R., 56, 91, 92, 118, 215, 256, 262Pimental, T., 357, 381Pimm, D., 240Pinkernell, G., 256Pino-Fan, R. L., 204Pinto, J., 160, 162, 163, 173, 178Pinto, M. M. F., 190, 193, 217, 428Pipere, A., 217, 225, 431Pitman, D. J., 325Pitta-Pantazi, D., 40, 53, 56, 83, 111,

117, 121, 191–193, 219, 254Pittalis, M., 40, 83, 132, 387, 395Planas, N., 195, 291, 299, 300, 333,

447–475Plaxo, D., 96Pluvinage, F., 331Poirier, A., 299, 304Pollak, H. O., 388Polya, G., 357, 358, 364, 395Ponte, J. P., 177, 209, 342, 483, 484,

499–503, 508Poom-Valickis, K., 435Porras, P., 421

Portaankorva-Koivisto, P., 437Possani, E., 87, 397Post, T., 54, 387Potari, D., 25, 205, 209, 250, 471Povey, H., 174Powell, A., 43, 135, 357, 361, 362, 369,

374Prat, M., 421, 429Pratt, D., 112, 119, 120, 236, 248,

258, 267Prediger, S., 20, 30, 51, 52, 299Prescott, A., 206, 216, 226Presmeg, N., 5, 13–16, 20, 21, 115, 135,

196, 203–205, 253, 360, 368, 375, 421, 425

Price, M., 173Prodromou, T., 257Proulx, J., 487, 488, 504Prusak, N., 4Psillos, P., 79Psycharis, G., 24, 98, 113, 248, 249,

257, 263, 510Puig, L., 99, 259

QQuek, K., 356Quesada, H., 117, 356Quintaneiro, W., 43

RRabin, J. M., 95Rach, S., 216, 421, 428, 433, 434Radford, L., 4, 5, 9, 11, 15, 20, 21,

32, 59, 73, 74, 76–80, 86–89, 118, 196, 197, 203, 210–212, 214, 218, 243, 249, 250, 275–306, 453, 456, 457, 460

Radford, M. L., 196Radu, I., 62, 357, 369Rahat, M., 216, 432Rakes, C. R., 97Rakoczy, K., 401

AUTHOR INDEX

540

Ramfull, A., 117Rasmussen, C., 3, 8, 9, 23, 25, 26, 29,

30, 32, 96, 289, 355, 463Raudenbush, S. W., 171Reed, H., 248, 249, 390Reichersdorfer, E., 337, 338Reid, D., 282, 317Reinhold, S., 111, 112Reiss, K., 64, 124, 283, 309, 324,

325, 334, 337, 349, 350, 356, 379, 432, 503

Reiss, T., 287Reivich, K., 423Renert, M., 486, 487Renk, N., 299, 311Renkl, A., 217, 221, 435Reyes, C., 49Reynolds, N., 282, 291, 294–296Rezat, S., 197, 198Rhodes, G., 510Ribeiro, C. M., 52, 61Richardson, J., 251, 252Rico Romero, L., 284, 285Rigo, L., 332Rigo, M., 331Rivera, F. D., 73, 74, 76–79, 196, 205Robert, A., 10Robinson, C. L., 167, 260Robinson, N., 506Robitzsch, A., 45Roble, A., 167Robotti, E., 98, 256Robutti, O., 5, 16, 33, 118, 204,

211, 213, 214, 236, 239, 240, 246, 261, 267, 289, 290, 356, 457, 498, 514, 515

Rocha, H., 208, 261Roche, A., 50, 53, 178Rodal, C., 429Rodrigues, M., 124, 330Rodriguez, F., 253, 326Rodriguez, R., 332Roehrig, G. H., 406

Roesken (Rösken), B., 422Roh, K. H., 10Rojano, T., 16, 90, 209, 331Rolka, K., 217, 419, 429, 435Romberg, T. A., 383Ronau, R. N., 97Ronda, E., 199, 283, 294, 467Roorda, G., 247Roper, T., 6Rosch, E., 188Roschelle, J., 237, 238Rosenfeld, S., 115Ross, J., 433Rossi Becker, J., 205Rota, S., 52, 56Roth, W.-M., 117, 215, 297, 460Rothery, A., 284Rott, B., 128, 326, 363–366Rouleau, A., 431Roux, K., 200Rowland, T., 25, 26, 286, 483–514Royal Society, 114, 124Rubio, G., 371Rubio, N., 176Rudolph-Albert, F., 283, 299, 300, 309Ruiz Hidalgo, J. F., 284, 285Ruiz Higueras, L., 392Rule, A. C., 89Runesson, U., 52Rust, C., 173Ruthven, K., 497, 503, 507, 512Ruwisch, S., 122, 291Ryan, J., 282Ryu, H. A., 127, 360Ryve, A., 20, 32, 202

SSabena, C., 5, 32, 73, 79, 87, 98, 164,

203, 204, 211–214, 216, 249, 250, 272, 282, 290, 311, 356, 429, 433, 435, 457

Sack, J., 110, 114, 116, 118, 121, 135Sacristán, A. I., 96, 97, 255

AUTHOR INDEX

541

Sadler, D. R., 162, 164Sáenz-Ludlow, A., 15Safuanov, I. S., 136Sáiz, M., 52, 134Sakonidis, C., 53, 192Sakonidis, H., 161, 282, 292Saldanha, L., 97, 247, 255, 267Salle, A., 258Samkoff, A., 328Samper, C., 113, 204, 244, 253, 254,

263San Diego, J. P., 207Sánchez, V., 201, 262, 288, 294, 423Sandefur, J., 322Sandhu, S., 428Sandoval, I., 87, 248, 397Santana, E., 210Santi, G., 204, 256, 423Santos, F. L. M., 27Santos, L., 153–180Santos, M., 398Santos Trigo, M., 253Santos-Wagner, V. M., 505Sarama, J., 119, 121, 208Savioli, K., 214, 239, 243Savva, A., 77, 206Saxe, G. B., 390Scanlon, E., 207Schauble, L., 344, 406Schilling, S. G., 490Schink, A., 52Schliemann, A. D., 88, 473Schmidt, M., 64, 69, 356, 379Schmidt, W. H., 23, 283Schmitz, A., 209Schneider, S., 23, 492Schoenfeld, A. H., 264, 334,

354–358, 361, 364, 365, 367, 513

Schön, D. A., 178, 491Schorr, R. Y., 387Schroeder, T. L., 355Schubring, G., 15, 203

Schukajlow, S., 165, 215, 358, 388, 401, 402, 420, 421, 428, 434

Schwarz, B., 4, 5, 10, 16, 33, 331, 336Schwille, S. A., 217Scucuglia, R., 238Seago, N., 23, 492Seah, W. T., 196, 197, 421, 472Sedig, K., 243Seeger, F., 15, 203Seeve, E., 420, 438Segers, M., 172Sela, H., 493Selden, A., 3Selden, J., 3Seligman, M. E., 423Selter, C., 44Selva, A. C. V., 208Semana, S., 161, 162, 166Sensevy, G., 392Seok, Y., 425, 436Serow, P., 131Serrazina, L., 505Setati (Phakeng), M., 282, 299,

301–303, 454, 458, 466Sevimli, E., 207, 255Sfard, A., 16, 19, 31, 51, 63, 129, 190,

191, 192, 199–203, 244, 245, 281, 282, 288, 291, 420, 454, 463, 490, 500

Shabhari, A., 372Shajahan, H., 369Shaul, S., 356, 364Shaw, K. L., 137Shepard, L., 173Sheryn, L., 256Shiakalli, M., 208Shilling-Traina, L. N., 342Shimada, I., 357, 428Shin, H., 486Shinno, Y., 60, 200, 282, 283Shriki, A., 135, 166Shriki, L., 359Shuard, H., 284

AUTHOR INDEX

542

Shubash, N., 258Shulman, L. S., 21–23, 179, 483,

486–489, 494, 496, 511Shvarts, A., 116, 205Shy, H., 429Si, L., 45Siegler, R. S., 42Siemon, D., 161Sierpinska, A., 5, 20, 33Sigley, R., 80Silber, S., 155Silfverberg, H., 124, 130, 133Siller, H.-S., 399, 496, 517Silva, T., 398Silver, E. A., 355, 514Silverman, J., 9, 10Simbagoye, A., 249, 272, 282, 290, 311Simensen, A. M., 214Simmt, E., 58, 195Simon, M. A., 191, 194, 355, 504, 512Simpson, A., 90, 362, 427, 435Sinclair, M., 238, 263Sinclair, N., 96, 110, 118, 130, 201,

214, 235–265, 282, 370Singer, F. M., 61, 62, 155, 367Singletary, L., 370Sinitsky, I., 496Skilling, K., 215Skog, K., 282, 291, 433Skott, J., 420Skovsmose, O., 451, 458, 459, 467Slavin, H., 421, 434Sleep, L., 486, 514Slovin, H., 84, 177, 372Smestad, B., 429Smith, D., 52Smith, G. G., 360Smith, J. P., 25Smith, M. S., 344, 508Smith, S., 398So, K., 256, 359, 374Soares, E. S., 136Socorro, M., 216

Soffer-Goldstein, D., 260Solares, A., 90, 97, 98, 248Soldano, C., 240Sollervall, H., 138, 238Solomon, Y., 429Sommerhoff, D., 316Sommers, S., 116Son, H. C., 255, 400, 406Son, J.-W., 134, 357Song, M. H., 256Song, S.-H., 127, 360, 363, 366Sonnerhed, W. W., 46Sophocleous, P., 131Soro, R., 9, 50Soury-Lavergne, S., 498, 514Souto, A. M., 27, 59, 204, 209Sowder, L., 316, 318Sparrow, L., 216Spatial Reasoning Study Group, 110Speer, N. M., 25Spiegel, H., 124Spikol, D., 238Spiliotopoulou, V., 209Spinillo, A. G., 46Spyrou, P., 129Sriraman, B., 200, 202, 384, 385, 391,

406, 407Stacey, K., 52, 75, 134, 167, 205, 261,

262, 398, 400Stadler, E., 20, 32, 202Stahl, G., 202Stalo, M., 77Stalvey, H., 92Stehlíková, N., 93, 96Stein, M. K., 344, 369Steinle, V., 56Stenger, C., 62Stenkvist, A., 125Stephanou, L., 121Stephens, M., 73, 74Stewart, S., 43, 95, 96, 193, 209,

246, 421Stiff, L., 92

AUTHOR INDEX

543

Stigler, J. W., 155Stillman, G., 383, 388, 398, 400, 404Stohlmann, M. S., 406Stoyanova Kennedy, N., 329Strässer, R., 197, 198, 233, 269Strawhun, B. T. F., 344, 355, 381Strømskag, H., 24, 197Stylianides, A. J., 84, 315–345Stylianides, G. J., 157, 315, 316, 336,

338, 342, 344, 345, 493, 507, 517Stylianou, D. A., 205, 315Subramaniam, K., 54, 454, 470Suggate, J., 205, 359Suh, J. M., 63, 258Sukenik, M., 53, 178Sullivan, P., 369, 370, 372, 430, 493,

502Sumner, M., 243Suurtamm, C., 195Swafford, J., 345, 348Swan, M., 356, 370, 489Sweeney, G. F., 95Sweller, J., 365Swidan, O., 9, 43, 193, 204, 249, 250,

256Sztajn, P., 508

TTabach, M., 47, 200, 254, 282, 333,

337, 339, 435, 463, 507, 517Tahir, S., 87Taing, M., 437Tall, D. O., 5, 33, 60, 90, 93, 133,

190–193, 325, 492Talmon, V., 254, 264Tan, H., 262, 427Tang, C., 218Tang, S., 201, 291, 292, 454, 463Tanguay, D., 97, 98, 247, 248, 263,

267, 316Tank, K. M., 406Tapper, J., 216, 221Taras, M., 173

Tarr, J. E., 157Tatar, D., 237, 272Tatsis, A., 362Tatsis, K., 133, 204, 286Tatsuo, M., 251Tay, E., 356Taylor, P., 58Taylor, S., 421Tekin, E., 168Thagard, P., 419Thames, M. H., 179, 486, 490, 514Thanheiser, E., 429Theodosios, Z., 426, 427Theoklitou, A., 206Thomas, M., 5, 21, 33, 43, 93, 95–97,

174, 193, 209, 211, 213, 246, 256, 262, 421, 498, 515

Thompson Avant, M. J., 241Thompson, P. W., 9, 10, 12, 54, 91, 92Thornton, S., 282, 291, 294–296Thrasher, E., 262Threlfall, J., 292, 297Thurstone, L. L., 112Thwaites, A., 487, 488, 496Tiberghien, A., 507, 512Tirassa, M., 118Tirosh, D., 47, 61, 63, 330, 337, 339Tjoe, H., 48Todorov, T., 277Toh, P. C., 47, 48, 356, 381Toh, T. L., 47, 48, 356Tomaz, V. S., 123, 423, 433Torbeyns, J., 44Törner, G., 215, 422Torregrosa, G., 117, 356Torres, R., 52, 466Tortora, R., 64, 207Toscano, R., 294, 423Toulmin, S. E., 330Tozzi, B., 357, 369Triantafillou, C., 205, 209, 250, 471Trigueros, M., 11, 73–101, 248, 397Tripp, J. S., 383

AUTHOR INDEX

544

Trouche, L., 28, 97, 248, 249Trujillo, B., 283, 310Tsai, P., 429Tsai, W. H., 196Tsamir, P., 47, 61, 63, 216, 330, 337,

338, 339, 432Tsatsaroni, A., 471Tso, T.-Y., 128, 138Tuan, H. L., 505Tuohilampi, L., 424, 426, 428Turkenburg, K., 42, 45, 360, 377Turner, F., 486–488, 491, 494Tyack, D., 275Tzekaki, M., 109–140, 209Tzur, R., 22, 40, 45, 64, 71, 499, 504

UUbuz, B., 130, 332Uegatani, Y., 218Ufer, S., 124, 216, 316, 324, 325, 337,

349, 426, 428, 433Unal, H., 137Underwood, P., 475Uptegrove, L., 361, 362Ursini, S., 11, 74–101, 397US STEM Task Force, 405

VVale, I., 357Valentine, J. C., 97, 110Valero, P., 305, 447–475Valsiner, J., 197, 432Vamvakoussi, X., 9, 10, 50Van den Bossche, P., 172Van den Heuvel-Panhuizen, M., 45,

168, 208, 364, 389Van der Sandt, S., 134Van Doreen, W., 363Van Gisbergen, S. V., 249, 390Van Harpen, X., 425Van Hoof, J., 49, 82Van Oers, H. J., 406Van Stiphout, I., 94, 390

Vandebrouck, F., 407Vanderveken, L., 44Vandewalle, J., 49, 82Varas, L., 217, 435Varela, F. J., 195Varier, D., 168Vasquez, J. A., 405Vazquez, I., 110, 114, 116, 118, 121Veldhuis, M., 168Venable, J. C., 168Venenciano, L., 84Vergnaud, G., 287Verhoef, N. C., 62, 193, 205, 291, 492Verikios, P., 83Vernon, D. T., 172Verschaffel, L., 44, 49, 205, 209, 291,

356–358, 363, 406, 488Vertovec, S., 298Verzosa, D. B., 299Vial, M., 160, 173Vidakovic, D., 62Viirman, O., 20, 32, 202, 291Villa, B., 290, 457Villarreal, M. E., 245, 398Vinner, S., 5, 133, 325Virgona, J., 161Visnovska, J., 294, 296Vithal, R., 474Vluegas, K., 363Vogel, F., 337, 338, 349Voica, C., 61, 62, 368Vollstedt, M., 436Vondrová, N., 497Vos, P., 214, 247Vosniadou, S., 10, 50, 81Vygotsky, L. S., 189, 194, 195, 199,

200, 249, 301

WWagner, D., 282, 291, 292, 294, 454,

458, 460, 475Waisman, I., 22, 356, 364–366Wake, G., 356, 370, 383, 489

AUTHOR INDEX

545

Walker-Johnson, A., 202Walkerdine, V., 199, 305, 451Walls, F., 459Walshaw, M., 305, 454, 458, 460Walter, J. G., 291Wan, M. E. V., 291Wander, R., 215Wang, C.-Y., 169, 181, 421, 503, 510Wang, H., 406Wang, I.-J., 205Wang, J., 217Wang, N., 156, 169, 181Wang, T.-Y., 23, 283Wang, Y.-T., 124Ward, M. R., 365Warner, B. L., 205Warren, E., 11, 73–101, 209, 212, 283,

289, 433Watson, A., 30, 51, 73, 74, 119, 120,

136, 322, 495, 496Watson, K., 131Watters, J. J., 357, 358, 387Wawro, M., 95, 96Way, J., 437, 495Wayne, S., 216Wearne, D., 44Weber, E., 92Weber, K., 25, 62, 292, 316, 317, 320,

321, 325, 328, 336, 353–376Weiher, D. F., 122Weisberg, R. W., 365Weizman, A., 238Weller, K., 7, 53, 62, 63, 192Wenger, E., 197, 199, 203, 244, 255,

451, 465, 466, 511Wertsch, J. V., 199Whitehouse, O., 507Whiteley, W., 110Widder, M., 115Wideman, H., 238, 263Widjaja, W., 52, 404Wilhelmi, M. R., 78

Wiliam, D., 160, 162, 167–169, 173, 176, 180

Wilkerson, M., 321Wilkinson, I., 80Wille, A. M., 87, 201, 282Williams, C. C., 317, 322, 323Williams, G., 423, 425, 428, 511Williams, J., 59, 159, 211, 282, 399Williamson, J., 42Wilson, J. A., 210, 211Wilson, K., 76, 98, 246, 255Wilson, R., 91Winbourne, P., 496, 517Wing, T., 202, 203Winicki-Landman, G., 330Winkel, K., 55, 205Winsløw, C., 3, 4, 17, 18Wirtz, M., 207Wittwer, J., 216, 427Wo, L., 159, 419Wong, W. K., 138, 259Wood, T., 178, 461, 483, 512Woods, J. E., 406Woodward, J., 45Wright, R. J., 44Wu, C.-J., 116, 125, 138, 159, 259, 322,

323Wu, D.-B., 129, 132, 206Wu, R.-H., 506Wu, S.-C., 217, 419, 428, 502

XXin, Y. P., 45, 71, 251Xistouri, X., 111, 161, 339Xu, L. H., 291Xu, S.-Y., 138

YYackel, E., 195, 196, 202, 315, 343,

423, 437, 512Yalcin, T., 218Yamada, A., 205

AUTHOR INDEX

546

Yang, C. T., 371Yang, K.-L., 124, 330, 333, 506, 507,

513, 517Yang, X., 251Yates, S. M., 431Ye, R., 284, 285Yerushalmy, M., 9, 16, 43, 99, 193, 204,

235–265, 359Yevdokimov, O., 124Yiasoumis, N., 255Yim, J., 127Yin, Y., 177, 421, 434Ying, J.-M., 136Yoon, C., 174, 210, 213, 421Yoon, K. S., 508Yoon, O., 138, 254Yoon, S. Y., 42Yoshida, M., 506Yoshida-Miyauchi, K., 360Young, A., 118Yuan, X., 360, 368, 375Yuichi, O., 251Yusof, Y., 193

ZZachariades, T., 23, 25, 27, 53, 191,

192, 193, 431

Zahner, W., 196Žalská, J., 497Zan, R., 419, 424Zandieh, M., 96Zarfin, O., 428Zaslavsky, O., 127, 136, 207, 317, 322,

323, 330, 344, 356, 430, 493, 495, 496, 509, 514

Zawojewski, J. S., 384Zazkis, D., 26, 321, 337, 338Zazkis, R., 7, 39–65, 317, 337, 338,

344, 421, 431, 437, 504Zbiek, R. M., 97Zevenbergen (Jorgensen), R., 458, 461,

462, 469, 471Zeybe, Z., 338, 421, 430Zhang, D., 45, 71Zhang, Q., 196, 421Zhao, Q., 294, 296Zigdon-Mark, N., 208Zimmerman, B. J., 165Zodik, I., 136, 207, 356Zoitsakos, S., 53, 192Zuffi, M.E., 192Zulatto, R.B.A., 241, 246, 262, 500,

507Zúñiga, C., 54

547

SUBJECT INDEX

2-D (2-dimensional), 111–114, 120, 125, 131–133, 136, 140, 239, 254, 260

3-D (3-dimensional), 112–115, 120, 121, 123, 125, 131, 132, 136, 140, 239, 246, 251, 254, 257, 360

AAbstract topologies, 287Abstraction in context (AiC), 10, 21, 463Accumulation, 9, 10, 249, 250, 475ACODESA method, 13Activity theory, 202, 238, 242, 250,

260, 278, 282, 398, 423, 437, 451, 458, 500, 506

Actual infinity, 7, 8, 62Addition, 41, 44–46, 52, 55, 60, 83,

159, 168, 206–208, 363, 364, 488Advanced mathematical thinking

(AMT), 3, 4, 17, 190Affect, ix, x, 23, 32n2, 63, 187–219,

354, 400, 417–438, 471Affective, xii, 166, 192, 214–218, 243,

248, 249, 264, 354, 400–403, 417–438, 488, 513

Affective domain, 215–218, 418Algebra, ix–xii, 3, 11, 18, 29, 43, 47,

58, 73–101, 126, 138, 156, 169, 170, 173, 193, 209, 235, 238, 241, 245, 252, 255, 257–259, 287, 355, 358, 359, 371, 373, 390, 392, 397, 399, 407, 425, 427

Algebraic thinking, 3, 46, 73–86, 88, 90, 91, 93, 95–97, 100, 101, 170, 207, 457

Alterity, 277, 283, 299, 301–304 Ancient Greece and Rome, 138, 276Angle, 119, 123, 126, 130, 133, 136–138,

244, 254, 255, 257, 259, 323

Anthropological theory of didactics (ATD), 17, 18, 27, 28, 94, 242, 247, 248, 392, 506

Anxiety, 420, 425, 436, 502, 503APOS (Action-Process-Object-

Scheme), 7, 62, 91, 97, 191–193, 200, 397

Area, 55, 60, 100, 110, 115, 119–122, 128, 131, 134, 136, 139, 159, 206, 207, 255, 356, 358, 363, 495

Argument, 23, 48, 54, 89, 120, 124, 126, 137, 161, 174, 195, 212, 247, 259, 260, 286, 301, 315–345, 359, 389, 396, 421, 463, 473, 475, 490

Argumentation, x, 47, 48, 56, 59, 124, 127, 128, 130, 134, 140, 195, 198, 247, 315–345, 497

Artefact, 15, 16, 27, 98, 118, 135, 163, 164, 196–198, 204, 214, 246, 247, 249, 250, 289, 384, 400, 452–454, 457, 507

Assessment, x, xii, 49, 53, 135, 136, 153–180, 260, 264, 275, 339, 342, 344, 373, 375, 398, 429, 492

Assessment criteria, 158, 160–162, 166, 173

Assessment for learning, 158, 160, 162–169

Assessment of learning, 154Attained curriculum, 153, 154,

169–175Attitude, 89, 134, 154, 163, 169,

177, 178, 196, 214–217, 238, 246, 251, 259, 261, 262, 332, 369, 373, 417–419, 421, 425, 427, 433, 437, 498, 508

Authority, 277, 291–298, 305, 306, 320, 429, 459, 466

SUBJECT INDEX

548

BBanach spaces, 287Bee-bot programmable toy, 113, 137,

240Beginning teachers, 136, 195, 241, 244,

340, 342, 491, 493, 501, 502Belief, 22, 23, 25, 26, 30, 55, 62, 81,

89, 90, 98, 101, 115, 116, 154, 161, 162, 164–166, 205, 214–218, 236, 251, 292, 320, 324, 327, 336, 340–342, 354, 365, 369, 398, 400, 403, 418–422, 424, 425, 427–433, 435, 437, 462, 484, 488, 492, 494, 499

Beliefs about problem solving, 354, 365, 369, 433

Big ideas, 178, 486, 494, 496, 497Bilingual education, 283, 298Body posture, 289, 423Brackets, 46, 47, 82, 84, 95Building strategies, 112

CCabri, 114, 132, 138, 193, 243, 252,

255, 264, 407Calculus, ix–xii, 3–32, 43, 118, 132,

193, 195, 201, 212, 214, 216, 238, 240, 245, 250, 254–256, 388, 398, 421

Cartesian coordinate system, 116CAS (Computer Algebra System), 97,

98, 236, 246–248, 251, 252, 255, 256, 261–263, 358, 399, 407

Centrifugal force, 299Centripetal force, 299Cognitive perspective of TPD, 499,

500, 512Collaborative, 13, 15, 31, 52, 135,

161–163, 167, 178, 195, 219, 238, 239, 242, 259, 300, 304, 339, 362, 368, 398, 428, 461, 467, 468, 487, 493, 503

Colonialism, 298

Colouring, 127, 325Combinatorics, 259Commognition, 19, 20, 129, 454, 463Commognitive approach, 19, 200–202,

244, 490Commognitive conflict, 202, 288Common content knowledge (CCK),

487, 490, 491Communicational approach, 4, 15, 16,

21, 31, 75, 97, 99, 113, 118, 132, 160, 164, 173, 200, 201, 203, 211, 215, 243, 276, 281, 288, 292, 398, 422, 423, 457, 464, 468, 472, 490, 503, 504

Communities of practice, 135, 197, 202, 241, 244, 262, 278, 282, 430, 451, 454–456, 463, 465, 466, 500

Community work and participant development, 465–467

Complementary nature of theories, 499–501

Concept definition, 4–7, 10, 13, 133, 325

Concept image, 4–7, 10, 13, 133, 255, 325

Conception of theory as evolving process, 500

Conception of theory as static entity, 500

Conceptual change approach, 9Conceptual development, 44, 59,

187–219, 248, 302Conjectures, 8, 31, 80, 97, 114, 125,

126, 133, 135, 244, 253, 255, 317, 322–324, 326, 329, 330, 333, 339, 358, 359, 385, 512

Construction tasks, 126, 330Constructivism, ix, 281, 431, 448,

461Content knowledge, 22, 53, 91, 109,

115, 124, 135, 136, 178, 260, 261, 486, 489, 494, 509

Contingency, 24, 422, 487, 491

SUBJECT INDEX

549

Continuity, xii, 27, 41, 51, 316, 329, 334, 470

Contradictions, 3, 23, 60, 124, 126, 254, 329

Convergence, 9, 10, 18, 250, 429Conversion among representations, 16,

205Coordinate geometry, 140Counterexample, 47, 125, 126, 137,

324, 329, 337, 495Counting, 39–48, 64, 79, 112, 119, 208Covariation, 3–32, 51, 99, 208, 250Creativity, 117, 124, 131, 166, 167, 357,

360, 366–369, 375, 388, 402, 403Critical discourse analysis, 282, 464Critical theory, 278, 459, 461Cultural artefact, 55, 118Cultural discursive routine, 279, 291Cultural model, 282Cultural psychology, 278, 461, 462, 473Cultural-historical newer trends, 452,

453, 455–460, 471Culture, x, 6, 9, 15, 21, 39, 158–160,

195, 196, 199, 202, 277, 279, 289, 291, 295, 302, 304, 330, 332, 375, 405, 428, 431, 434, 451, 456, 457, 459, 468, 470, 472, 475, 501

Culture of error, 158–160Curriculum, x, xii, 41, 42, 46, 47, 51,

53, 54, 58, 59, 84, 113, 120, 121, 140, 153–180, 194, 236, 251–253, 255, 275, 293–295, 304–306, 315, 317, 327, 329, 343, 344, 363, 370, 371, 384, 386, 393, 399, 404, 405, 408, 431, 471, 486, 493, 496, 501, 502, 507

DDecolonizing methodologies, 283, 304Deductive proof, 128, 253Definition, 4–7, 9, 10, 13, 14, 18, 19,

48, 56, 59, 89, 90, 92–96, 109, 110, 114, 116, 123, 124, 126, 127, 129–133, 153, 156, 158, 161, 162,

188, 191, 193, 202, 212, 244, 284, 288, 292, 317, 320, 325, 341, 345n6, 357, 359, 384, 403, 407, 418, 419, 500, 502, 508

Deictic function, 286Density, 9, 10, 41, 50, 51, 59, 61, 497Derivative, 6, 8, 14, 28, 29, 201, 247,

261, 398, 489, 492, 493Design-based community of TPD, 506,

507, 512Developmental approach, 190–194DGE (Dynamic Geometry

Environment), 59, 117, 118, 132, 135, 201, 236, 243–256, 258, 260, 262–264, 326, 359, 369, 374, 407

Diagramming, 282Dialectic, 249, 297, 331, 332, 355, 453,

506Dialectical materialism, 282Dialogic, 164, 288, 289, 294, 297, 299,

303, 304, 332Dialogue, 48, 201, 241, 243, 290, 294,

299, 303, 304, 331, 337, 338, 344, 437, 467

Didactical engineering, 8, 10, 31n1Differential equation, 9, 29, 397Digital technologies, x, 63, 109, 117,

140, 235–265, 468, 469, 497, 498Dimension, 22, 23, 55, 79, 80, 88, 93,

111–113, 117, 120–122, 139, 159, 162, 166, 180, 193, 200, 207, 208, 210, 211, 213, 215, 218, 237, 239, 243, 248, 249, 264, 277, 279, 283, 284, 286, 287, 291–298, 301, 303, 360, 367, 397, 400, 403, 419, 420, 432, 454, 455, 459, 460, 469, 474, 487–489, 491, 494, 496

Dimensionality, 122Discourse, 19, 20, 31, 48, 63, 95, 130,

161, 195, 196, 198–202, 213, 244, 247, 253, 254, 278, 279, 281, 282, 287, 288, 291–299, 301, 306, 316, 329, 392, 422, 423, 435, 438, 450,

SUBJECT INDEX

550

453–456, 460, 463–467, 471–473, 475, 485, 489, 490, 496

Discourse analysis, 281, 282, 435, 438, 450, 460, 464

Discrete-continuous interplay, 6Discursive apprehension, 129Discursive approach, 129Discursive psychology, 282, 422, 451Division, 45, 46, 51–53, 55, 61, 159,

206, 363, 491, 504 Documentational approach, 18, 24, 28,

249, 263, 510Double number lines, 119, 208Dragging, 98, 118, 126, 132, 137, 138,

201, 214, 240, 244–247, 250, 253, 254, 263, 264, 326, 364, 374

Dynamic geometry, 59, 109, 113, 114, 116, 118, 123, 125, 126, 135, 138, 201, 251–253, 356, 359, 364, 369, 374, 399, 407, 436, 468

EEarly algebra, 3, 11, 73–76, 78, 86, 100,

457Early grades, 3, 42, 81Elementary algebra, 94, 95Embodied cognition, 8, 9, 14, 40, 212,

243, 251, 281–283, 321Emergent modelling, 390, 396Emotion, 164, 215, 354, 418–421, 424,

429, 436, 437Empirical proof, 205, 208, 319, 322,

323, 337, 338, 506Encapsulation, 7, 62Equation, 6, 9, 11, 29, 40, 60, 74–76,

81–85, 87–91, 93–95, 98–100, 138, 156, 157, 172, 203, 209, 245, 254, 257, 259, 397, 431, 432, 472, 493

Estimation, 40, 42, 115, 122, 356, 396Ethnomathematics, 196, 278Eurocentric, 298, 303, 304

Everyday language, 77, 132, 212, 281, 284, 289

Expert teacher, 501–503Eye-tracking, 64, 117, 140, 325, 356,

365, 436

FFeedback, 91, 98, 113, 137, 162–164,

166–169, 178, 237, 239, 250, 252, 259–261

Figure apprehension, 111, 128, 130, 140Flow-chart proof, 137, 335Formative assessment, 154, 162,

167–169, 173, 174, 177, 178, 180, 429, 430

Fraction, 40, 41, 48–57, 63, 64, 159, 160, 163, 167, 206, 207, 213, 217, 250, 254, 258, 282, 360, 491, 495–497, 504

Fraction representation, 54–56, 206Framing, 243, 247–249, 261, 282, 320,

469, 471, 473Function, x, 3–32, 74, 76, 83, 85, 87,

90–93, 95, 97, 99, 101, 118, 126, 137, 138, 158, 173, 191–193, 197, 198, 201, 205, 207–210, 212–215, 237, 240, 244–250, 254–256, 258, 262, 284, 286, 287, 290, 356, 374, 390, 396, 398–400, 417, 464, 492, 494, 496, 498, 501, 505, 508

Functional relationship, 11, 197, 257Functional thinking, 3, 76Fundamental Theorem of Calculus

(FTC), 10, 25

GGender, 42, 260, 280, 291, 361, 427,

428, 437, 454, 458 General number, 11, 86, 88Generalization, 3–33, 59, 73, 74,

76–80, 85, 87–89, 92, 93, 100, 101, 124, 135, 140, 196, 197,

SUBJECT INDEX

551

205, 211, 214, 286, 323, 328, 337–341, 361, 402

Generative action functions, 286Generic processes, 386, 400–403Geocadabra, 114, 121 Geometer’s Sketchpad, 119Geometric constructions, 126, 127, 135,

138Geometric diagrams, 124Geometric tasks, 109, 126, 136–139Geometric thinking, 110, 111, 113, 115,

130, 134, 206, 240, 254Geometry, ix–xii, 59, 109–140, 201,

207, 212, 213, 216, 235, 236, 238, 240, 241, 250–254, 282, 323, 324, 326–328, 330, 334, 335, 340, 341, 355, 356, 359, 364, 369, 371, 374, 399, 407, 436, 468, 503

Gesture, 8, 14, 15, 21, 31, 40, 79, 117, 118, 123, 132, 139, 196, 201, 203, 204, 210–214, 218, 239, 240, 243–245, 251, 289–291, 457, 468

Globalization, 298Grammar, 202, 287Graphing calculators, 236–238, 246,

247, 250–252, 255, 256, 261, 262GTA (Graduate teaching assistant), 26

HHermeneutic, 278, 279Heteroglossia, 290, 299, 302, 304Hierarchic interactionalism, 119Homo communicans, 276, 277Horizon content knowledge, 487, 490,

494, 496Horizon report, 236, 241

IIdentification of shapes, 109, 131Identity, 58, 194, 197, 200, 202, 276,

277, 282, 357, 421–424, 427–429, 432, 433, 435, 437, 454–456, 458, 459, 463, 465–467, 471, 473

Ideology, 276, 280, 291–293, 300, 306, 454, 461, 465

IDS (Interest-Dense Situation), 21Imagery, 110, 111, 114, 115, 117, 127,

213, 214, 365, 366Immigrant, 298–301, 433, 438, 454Implemented curriculum, 153, 154Inclusion relations, 109, 124, 130,

131Indigenous language, 299, 302Inference, 253, 257, 284Infinite series, 18, 27 Infinity, 7, 8, 18, 19, 39, 50, 58,

60–63, 87Inflection point, 10Informal language, 282, 283, 285, 289Inscription, 115, 204Inservice teacher, 262, 263, 336, 337,

339, 429–432, 488 Institutional perspective, 5Institutional representation, 13, 21 Instrumental genesis, 21, 245–249, 253,

261Integral, 9, 29, 53, 57–63, 126, 128,

137, 153, 154, 191, 207, 212, 255, 256, 275, 289, 332, 362, 398, 404, 448

Intended curriculum, 153–159, 175Internalization, 194Intonation, 290Irrational number, 9, 27, 57–63

JJoint labour, 197, 297, 298

KKinesthetic action, 9, 289–291 Knowledge creation, 463–465, 475Knowledge Quartet (KQ), 487, 488,

491, 493, 494Knowledge use, 90, 463–465, 471,

475Knowledge-in-action, 135

SUBJECT INDEX

552

LLanguage, x–xii, 8, 11, 14, 19, 23, 31,

50, 63, 75, 77, 78, 80, 88, 89, 101, 109, 112, 116–118, 122, 132, 140, 196, 197, 200, 205, 210–214, 240, 245, 257, 275–306, 331–333, 392, 399, 418, 437, 450, 452–454, 458, 462, 464–467

Language diversity, 277, 283, 291, 298–306

Language minority student, 283Language proficiency, 299, 300Learning mathematics for teaching,

301, 490Length, 50, 84, 119–122, 128, 137, 139,

163, 191, 208, 288, 431Lesson study, 52, 262, 490, 492, 500,

506, 511Lexical bundles, 282LieCal Project, 156, 169–172Limit, 6, 9, 10, 19, 27, 56, 255, 282,

284, 287Limit concept, 255, 282, 284Linear algebra, 43, 94–96, 193, 209,

397Lines of concern, 447, 449–453,

458–460, 463, 473, 475 Linguistic relativity, 302Low achievement, 136, 139, 426

MMaps, 112, 139, 159, 260, 362, 385,

389, 448, 449, 451Mass, 121, 275Mathematical and cognitive

perspectives (on modelling), 390–392

Mathematical discourse, 19, 20, 48, 63, 201, 202, 213, 244, 279, 281, 287, 288, 301, 423, 490

Mathematical discourse for teaching (MDT), 48, 490

Mathematical knowledge for teaching (MKT), 23, 486–488, 490, 491, 493, 494, 496–498, 507

Mathematical performance, 164, 168–172, 267, 300, 426

Mathematical thinking, 31, 39, 43, 110, 170, 171, 190, 196, 204, 213, 214, 239, 243, 244, 281–283, 299, 358, 373, 384, 397, 448, 452, 455, 468, 493, 496, 498, 502

Mathematics for engineers, 85, 398, 406

Mathematics for teaching, 52, 487Mathematics learning, 63, 74, 99, 100,

154, 157–160, 162, 168–170, 177, 180, 192, 197, 208, 210, 213, 238, 248, 298, 299, 303, 359, 367, 399, 456, 458, 463, 465, 466, 468, 469, 471, 501, 508

Mathematics lecturer, 8, 25, 28Mathematics teacher educator

education, 57, 197, 302, 315, 320, 357, 369, 461, 467, 468, 485, 499, 502, 509–511, 513

Mathematics teacher knowledge, 484–498, 511, 513

Mathematics-specific phenomena, 243, 492, 497, 502

Measurement, xii, 109, 110, 119–123, 125, 129, 139, 208, 255, 356, 417, 427, 436, 470

Mental arithmetic, 44Mental images, 13, 14, 109, 111, 115,

116, 365Mental model, 6, 206Mental rotation, 111, 129, 130Methodology, ix, 21, 22, 30, 43, 75,

85, 91, 101, 109, 110, 153, 157, 158, 163, 169–172, 177, 180, 200, 217, 243, 246, 251, 252, 263, 264, 283, 293, 304, 306, 316, 318, 319, 327, 337, 340, 341, 344, 355, 356,

SUBJECT INDEX

553

365, 383, 402, 403, 417, 418, 422, 434–438, 449, 450, 458, 462, 474, 475, 484, 485, 505

Microworld, 24, 98, 113, 123, 248, 250, 252, 256–259, 263, 364, 407

Mobile technology, 138, 238Model-eliciting activities, 375, 384,

387–388Modelling, x–xii, 12, 13, 16, 17, 24, 25,

29, 31, 86, 87, 89, 91, 96, 101, 113, 206, 238, 357, 383–408, 428, 434,

Modelling as content, 383, 386Modelling as vehicle, 383, 386Modelling competency, 384, 386, 389,

400, 406Modelling cycle, 384, 387–389, 394,

399 Modelling process, 13, 16, 17, 24, 384,

388, 391, 392, 394, 396, 399, 402, 407

Models, 6, 10, 29, 30, 42, 49, 52, 54–56, 59, 60, 64, 83, 87, 92, 96, 98, 99, 111, 114, 132, 138, 167, 195, 206, 238, 239, 253, 257, 275, 276, 282, 293, 305, 332, 356, 361, 363, 375, 383–400, 402, 404–408, 427,

Monotonicity, 191, 284Motivation, 23, 164–166, 202, 215,

242, 247, 264, 358, 359, 402, 418, 420, 421, 424–426, 428, 430, 497, 498

Multiculturalism, 276Multilingualism, 276, 279, 291Multimodality, 250, 289, 290Multiplication, 45, 46, 51, 52, 121, 122,

208, 487

NNatural language, 11, 283–287, 290,

291Natural number, 39–51, 58, 60, 81, 82,

84Natural number bias, 49–51, 81, 84

Negative number, 58, 59Networking of theories, 5, 11, 20, 21, 30Neuroscience, 22, 40, 64, 425Non-institutional representation, 13, 30Non-perceptual object, 286Norm, 26, 55, 167, 195, 235, 253, 263,

288, 292, 293, 298, 330, 331, 333, 342, 367, 423, 435, 437, 488, 512

Number line, 41–43, 51, 55, 58–60, 63, 83, 119, 206, 208, 250, 254, 360, 495

Number operation, 41–44 Number theory, 39, 47, 48, 64, 328,

331, 355

OObjectification, 9, 19–21, 79, 95, 196,

203, 211, 212, 214, 249, 250, 457, 475

Online environments of TPD, 507Open-ended tasks, 135, 167, 170–172,

176Operative apprehension, 117, 129 Opposing nature of theories, 499Orchestration, 21, 248, 249, 261, 263,

283Order of operations, 47, 100Out-of-school mathematics, 246, 253,

454, 458, 465, 466, 470, 471, 474

PPantographs, 138, 326, 327Participation framework, 282Partition, 45, 54, 55, 64, 119, 120, 129,

139, 297Pattern, 11, 40, 58, 74–83, 87–89, 100,

117, 163, 189, 191, 196, 197, 199, 206, 214, 218, 219, 256, 286, 290, 328, 331, 340, 341, 358, 366, 389, 420, 424

Pedagogical content knowledge (PCK), 21–23, 52, 59, 178, 261, 433, 483, 486–488, 490, 491, 494, 495, 497, 498, 500

Pedagogical technology knowledge (PTK), 21, 498

Peer assessment, 135, 136, 179Peirce/Peircean model, 204, 213Perceptual apprehension, 129Perimeter, 121, 122, 128, 159Perspective-taking, 111, 139Piaget/Piagetian theory, 7, 109, 128,

129, 189–192, 212, 275, 451, 494PISA, 176, 285Plurilingual, 298Politics, 277, 278, 454–456, 461,

463–465 Polya, ix, xPositioning theory, 282, 460Poststructuralism, 278Potential infinity, 7, 18, 62Power, 15, 42, 47, 56, 93, 123, 124,

167, 176, 195, 202, 254, 276, 277, 280, 291–298, 305, 306, 337, 338, 341, 342, 433, 434, 448, 454, 458, 459, 461, 462, 466, 467, 470, 472, 505, 509, 513

Power relations, 202, 291, 292, 472Preservice teachers, 22, 133, 137,

157, 176, 238, 241, 244, 253, 256, 261, 262, 282, 288, 326, 336–339, 341, 343, 367, 369, 371–373, 397, 404, 426, 429, 432, 433, 436, 483–513

Principle of inseparability, 452, 453, 456, 464, 473

Problem posing, 155, 156, 170, 171, 353–376, 425, 426

Problem solving, x, xii, 14, 25, 53, 64, 86, 89, 110, 111, 113, 116, 117, 124, 135–139, 160, 164–166, 170–173, 177, 205–208, 210, 215, 216, 240, 243, 244, 246, 253, 256, 258, 260, 262, 263, 300, 324–326, 334, 336, 353–376, 387, 388, 391, 396, 399, 405, 406, 425, 426, 428, 429, 433, 489, 490, 495

Problem solving as a didactical tool, 354, 355, 372–374

Problem solving expertise, 364–367, 375Problem solving processes, 137, 207,

244, 353, 354, 356, 359, 362, 363, 372, 374

Procept, 60, 190, 192, 193Process-object duality, 91, 190Professional development, x, 23, 26,

52, 53, 135, 175, 177, 178, 199, 241, 242, 262, 263, 337, 339, 340, 342, 422, 429, 430, 434, 454, 467, 483–513

Programmable toys, 113, 240, 260Programming, 113, 211, 240, 256, 257,

259, 407, 471Progressive model, 276, 293, 294, 296,

297Progressivism, 275Proof, x, xii, 28, 31, 47, 60, 89, 100,

101, 114, 116, 117, 124–128, 130, 135–137, 193, 201, 213, 216, 235, 253, 254, 260, 315–345, 358, 359, 370, 493, 497, 503

Prototype, 112, 115, 132, 321, 496Prototype phenomenon, 130Proving, 25, 48, 77, 84, 89, 109,

117, 124–128, 135, 136, 139, 140, 198, 201, 253, 286, 316, 318–326, 328–336, 339, 343, 355, 358, 392

Psychoanalytic perspectives, 278, 475Pythagoras’ theorem, 127, 128, 496

QQuadrilateral, 114, 116, 124, 129–131,

133, 136, 254, 288Quantifier, 10, 286, 338, 340

RRate of change, 10, 12, 14, 28, 238, 493Rational number, 9, 10, 27, 48–57, 60,

82, 178, 192, 207, 208, 216

SUBJECT INDEX

555

Real number, 9, 18, 21, 50, 51, 59, 60, 63, 82, 87, 208

Realistic Mathematics Education (RME), 355, 371, 372, 389, 390, 396

Reasoning, 6, 8, 11, 12, 22, 23, 31, 43–46, 48–50, 54, 56–58, 60, 62, 63, 74, 78, 86, 89, 97, 100, 109–114, 116, 117, 119, 120, 124–128, 131, 132, 134, 137–140, 158, 160, 163, 170, 171, 173, 178, 179, 195, 196, 203, 207, 208, 210, 249, 251, 253–255, 257, 285, 316, 317, 322, 325, 326, 329, 331, 334, 354–357, 359, 361, 363, 372, 373, 394, 395, 431, 464, 489, 494, 496, 497, 501, 503, 513

Reflective visual reaction, 116Related variables, 85, 86, 91, 92, 99,

100Relationality, 299Renaissance, 287Representation, 4–6, 9, 11–18, 21, 27, 30,

41–43, 49, 51, 52, 54–56, 58–60, 63, 64, 77, 78, 80–82, 84, 87, 90–92, 94, 98, 99, 101, 111, 114–117, 119, 123, 125, 126, 132, 135, 137, 138, 140, 156, 167, 171, 187, 188, 190, 192, 195, 198, 201, 203–210, 212–215, 217, 218, 237, 242, 250, 251, 254, 255, 259, 262, 279, 280, 283, 290, 291, 317, 322, 325, 326, 333, 340, 341, 359, 360, 365, 367, 373, 383, 388–391, 396, 397, 399, 407, 422, 425, 431, 455, 462, 474, 486, 491, 493–496, 501, 503

Representational flexibility, 205–207, 209Representational systems, 77, 137, 215Representational transformations, 206Resource, 9, 22, 27, 28, 30, 117, 118,

132, 160, 161, 166, 168, 199, 201–204, 211–214, 236, 242, 245, 249, 289, 296, 303, 319, 343, 354, 367, 388, 403, 422, 468, 471, 485, 491, 504, 507, 513

Robotic, 211, 243Ruler, 119, 122, 135

SSecondary education, 3, 11, 27Self-regulation, 162, 164–166, 362,

371, 401, 428, 434 Semiotic approach, 17, 31, 94, 196,

204, 210, 211, 249Semiotic chaining, 283Semiotic mediation, 16, 63, 98, 204,

242, 243, 245, 251, 278Semiotic representation, 5, 11–17, 115,

204–210, 212, 214, 218, 219, 290Semiotic systems, 79, 80, 118, 201, 204,

211, 212, 249, 285–287, 290, 291, 453 Semiotics, ix, 15, 16, 31, 115, 203, 204,

218, 242, 278, 279, 282, 283, 356, 453–456, 463, 464

Sequence, 24, 25, 30, 31, 56, 76, 79, 81, 88, 95, 121, 174, 191–193, 199, 205, 258, 261, 286, 330, 332, 334, 336, 357, 368, 371, 372, 390, 394–396, 402, 466, 487, 489, 497, 500, 501

Sequential apprehension, 129Service mathematics, 27–29Set square, 123Signification, 15, 21, 455, 457Sign, 12, 15, 21, 31, 46, 58, 74, 77,

78, 80, 81, 83, 84, 89, 96–99, 115, 118, 132, 164, 196, 203, 204, 207, 210–213, 219, 249–251, 258, 289, 290, 468, 483, 511

Simcalc, 237, 256, 407Social media, 241, 242, 427, 436Social turn, 417–438, 483Social views, discourses and values,

471, 472Socio-cultural/Sociocultural, ix, xi, 5,

13, 89, 136, 199, 211, 218, 249, 278, 282, 447–452, 457, 459, 461, 462, 464, 469, 473, 499–500, 506

SUBJECT INDEX

556

Socio-cultural approach, 447–449, 462, 469

Socio-cultural perspective, 499, 500Socio-cultural perspective of TPD, 499,

500Socio-cultural theory, ix, 199, 249, 282,

450, 461, 500Socio-cultural-political, x, 447–475Socio-political newer trends, 463Socio-political perspectives, 461Sociology, 187, 278, 282, 456, 458,

460, 461 SOLO taxonomy, 131, 400Spatial capability, 110–113, 129, 130Spatial characteristics, 111Spatial imagery, 117Spatial orientation, 111–113Spatial reasoning, 109–114, 120, 121,

139, 140, 254, 257Spatial relations, 112–114Spatial strategies, 111 Spatial tasks, 113, 114Specialized content knowledge (SCK),

53, 487, 488, 490, 494Spreadsheets, 236, 246, 252, 255, 256,

261–263, 399, 400, 407, 497Square root, 60, 282Statistical inference, 284Statistics, 94, 159, 257, 262, 285, 360,

435STEM (science, technology,

engineering, and mathematics), 16, 26, 405, 432

Structure sense, 46, 73, 74, 85, 92–96, 101,

Students’ explanation, 48, 160, 195, 247, 282, 331, 396

Subject matter knowledge, 486, 487, 493Subjectification, 202, 296Subtraction, 7, 41, 44–46, 83, 94, 159,

168, 206, 208, 494 Summative assessment, 154, 169,

173–175

Superdiversity, 298Symmetry, 58, 111, 130, 134, 244, 254,

255, 292Systemic functional linguistics, 282

TTangent, 14, 28Tangible, 237, 239, 240, 264Task, xi, 4, 7, 12–16, 18, 22, 24, 27, 30,

31, 39, 40, 42, 44–50, 52–56, 61, 64, 75, 76, 78, 82–86, 89, 90, 96–98, 100, 109–123, 126–128, 131, 132, 135–140, 155, 156, 160–165, 167, 170–172, 174, 176–179, 197–199, 202, 207, 211, 212, 215, 218, 239, 240, 242–245, 247, 248, 250–252, 255, 257–260, 275, 285, 286, 288, 290, 299, 319, 322, 324–326, 328, 330, 332–338, 345n5, 353–355, 357–372, 374, 375, 393, 394, 401, 402, 425, 428, 429, 431, 432, 434, 436, 457, 466, 468, 484, 485, 487, 491–493, 497, 498, 501, 503–508, 512, 513

Task design, 4, 12, 13, 15, 24, 25, 30, 31, 39, 44, 45, 48, 138, 139, 245, 258, 333, 334, 336, 507

Teacher beliefs, 116, 419, 420, 425, 430–433, 437, 484

Teacher education, 45, 61, 89, 246, 332, 337, 339, 342, 344, 371, 372, 386, 404, 454, 461, 466–468, 483–485, 488, 491–493, 495, 498, 499, 507, 508, 510, 512

Teacher Education and Development Study, 488, 489, 491, 492, 500

Teacher education and problem solving, 371, 372

Teacher knowledge, 25, 134, 178, 261, 318, 336–342, 430, 483–500, 511

Teacher noticing and attention, 486, 494, 496, 497

Teacher professional development (TPD), 485, 498–513

SUBJECT INDEX

557

Teacher professional growth, 484, 500, 501

Teacher training, 3, 25, 97, 176, 178, 241, 404, 503

Teachers, student teachers and teaching, 467, 468

Teachers’ awareness of students’ thinking, 501, 503, 504

Teachers’ beliefs, 23, 25, 90, 98, 214–217, 336, 340–342, 419, 420, 429–433, 484, 499

Teachers’ choice and use of examples, 486, 494–496

Teachers’ choice and use of representations, 486, 494–496

Teachers’ knowledge, x, 20, 22–24, 48, 51, 52, 109, 128, 133, 140, 153, 154, 175–179, 192, 206, 218, 283, 336–340, 342, 343, 345n6, 372, 483–514

Teachers’ learning, 52, 485, 498, 501, 503–507, 512

Teachers’ learning via participating in learning community, 506, 507

Teachers’ learning via researching, 505, 506

Teachers’ learning via teaching, 504, 505, 512

Teaching practices, 3, 6, 25, 26, 29, 52, 90, 91, 158, 194, 199, 217, 260, 300, 315, 342, 431, 493, 494, 505

Teaching problem solving and problem posing, 353–376

Teaching with technology, 99, 260–263, 486, 494, 497

Technological pedagogical content knowledge (TPCK), 21, 178, 433, 483, 486, 487, 494, 500

Technology, x, 15–17, 21, 24, 27, 28, 30, 31, 63, 64, 74, 89, 96–100, 109, 110, 117, 134, 137–140, 166–168, 177, 178, 235–265, 276, 293, 296, 357–359, 364, 374, 375, 399, 400,

406–408, 436, 438, 459, 468, 469, 472, 485, 498

Technology and algebra, 97–100, 235, 238, 241, 245, 250–252, 255–259, 399, 400, 406, 407, 430, 432, 436, 438, 468, 486, 490, 491, 494, 497, 498

Technology and problem solving, 240, 243, 244, 246, 253, 256, 258, 260, 262, 374

Tertiary/University education, 4, 12, 17, 18, 23, 25, 26, 73, 74, 92, 101, 120, 201, 394, 396, 397, 438, 485

Textbook, 13, 16, 18, 27, 28, 41, 59, 92, 120, 126, 130, 139, 154, 155, 157, 194, 197, 202, 206–209, 256, 264, 265, 282, 284, 319, 322, 323, 343, 344n4, 367, 372, 387, 390, 393, 395, 492, 504

Textbook analysis, 27, 157, 282Theory, ix, 7, 9, 15–19, 21, 31n1, 39,

47, 48, 51, 61, 62, 64, 75, 79, 85, 91, 94, 96, 97, 109, 165, 180, 188–193, 195, 197, 199, 201, 202, 204, 212, 215, 235, 242, 245, 247–250, 259, 260, 264, 278, 281, 282, 287, 288, 296, 300, 301, 318, 326, 328, 330, 331, 355, 376, 389, 390, 392, 397, 398, 421–424, 426, 428, 432, 436, 437, 450, 451, 457–465, 475, 486, 487, 489–491, 494, 495, 498–501, 505–508, 511, 512

Theory of didactical situations (TDS), 18, 242, 296

Theory of reification, 16, 99, 191, 201, 500

Theory of semiotic mediation (TSM), 15, 204, 242, 249–251

TIMSS, 294, 427Touchscreen technology, 240, 260TPD (teacher professional

development), 485, 498–513

SUBJECT INDEX

558

Transformation geometry, 140Transition, 5, 8, 10, 13, 14, 18, 20, 22,

29, 40, 43–47, 49, 51, 55, 58, 60, 79, 80, 85, 94, 99, 195, 201, 205, 241, 257, 259, 333, 388, 397, 428, 433, 470

Transmissive model, 275, 293, 294, 297, 301, 305

Turtle geometry, 123

UUnilingual, 298Unit iteration, 122Unitary language, 299Units, 52, 68, 76, 79, 114, 119–122,

128, 136, 139, 171, 191, 202, 238, 288, 470, 498, 506

University algebra, 93, 96Unknown, 11, 75, 86, 90, 127, 156,

287, 357, 397

VValue, 12, 24, 40, 42, 51, 52, 55–58, 63,

64, 76, 79–82, 87, 94, 99, 110, 127, 154, 161, 188, 215, 241, 248, 285, 292, 293, 302–304, 306, 316, 322, 329, 331, 341, 342, 354, 357, 362, 373, 396, 401, 418, 420, 421, 426, 428, 434, 435, 451, 470–472, 493, 503

Van Hiele, 109, 128, 129, 134, 135, 140, 206, 249, 253

Variable, 9, 11–16, 24, 27, 30, 47, 73–78, 80–88, 90–96, 98–100, 139, 156, 157, 197, 246, 250, 257, 287, 396, 397, 417, 420, 424–426, 435, 438

Variation, 11, 16, 17, 51, 77, 91, 99, 156, 202, 245, 285, 319, 343, 373, 390, 407, 420, 424, 425, 427, 431, 437, 496

Vector geometry, 140Visual active representations, 116Visual cognition, 115, 116Visual perception, 115, 116, 189Visualization, xii, 12–14, 18, 21, 23,

109, 111–118, 127, 129, 130, 139, 140, 213, 331, 360, 361

Volume, 84, 110, 119–122, 139, 207, 358, 463

Vygotsky/Vygotskian theory, 42, 118, 192, 196–198, 250, 278, 279, 281–283, 297, 329, 399, 422, 451, 452, 458, 461, 464, 500, 506

WWeb 2.0, 236Workplace mathematics, 196, 470, 471World of mathematics, 29, 388, 390

ZZone of proximal development (ZPD),

200, 374