chapter
4 Pages

Subject Index

Curriculum, 6, 13, 20, 28, 33, 45, 87, 98, 100, 131, 140, 241, 253, 268,281,284,290

Democratic society, 13 Development

professional, 12, 21, 49, 54-57, 71, 72, 76, 87, 90-92, 120, 121,277-282,299

Devolution, 297 Didactical

contract, 297 situations, 297

Didactique, 297 Discourse, 6, 8, 81, 168, 183, 187,

190, 191, 197, 200-202, 205, 213, 252, 256, 257, 261-265, 271,282

Discursive processes, 6 Disequilibration, 7 Disequilibrium, 16 Diversity, 19,34, 296 Division

problems, 31, 37, 39, 67, 86, 113, 130, 136, 138-149, 151, 163,178

Environment social, 6,8

Epistemological, 297 Facilitative

classrooms, 261, 264 teaching, 30, 251-253, 255, 256,

259-263, 268,270,271,276 Frameworks, 5, 6, 160, 168, 244,

278, 299 Funnel pattern, 189 Gagne, 28 Generativity, 48, 49, 54, 56, 58,

64, 69-73, 97,266,267 Hierarchies, 28 Hypothetical Learning

Trajectory (HLT), 162,165, 167, 259,260, 266

Identity, 55, 56, 64, 66-69, 71, 73, 88

Inquiry, 45,47,101,136,158,173, 179, 190, 191, 193-195, 198201, 203, 205, 211, 212, 241243, 256, 257, 263, 264, 267, 281, 284, 289, 297, 299

Instruction "child-centered"

mathematics, 235,267 Instructional

contexts, 7 program, 42 style, 211

Interaction, 6-8, 29, 44, 53, 73, 81, 83, 88, 98, 111, 161, 186-192, 194-197, 199-203, 205, 240, 241, 259, 262, 264, 265, 268, 285,287,296

Internalize, 7,281 Knowledge,

construction of, 6, 11, 136, 251-253, 257,260,265

cultural, 186,187,205,296 formal, 283-286 organization of, 6

pedagogical content, 119,179, 205, 25, 283-285

practical, 283,284 Language, 14,18, 73, 98,191, 210,

232,234,259, 286, 287 "Learning paradox", 167 Learning,

cultural, 55,188, 287,296 sociocultural, 48,188 teachers', 71, 72, 98,252,266

Mathematical connections, 7,101,114,234 consequences, 18,262 culture, 6 exploration, 110,114-116,131,

175 insights, 110,112,115 integrity, 11,13,125 knowledge, 6-8, 18, 28, 97,

101, 102, 135, 137, 148, 151, 153, 171-174, 178, 179, 239, 253-255, 257, 259, 260, 264, 266, 297

logic, 107,122,128 perspective, 183, 257-259, 261,

269, 270 reasoning, 12, 124, 125, 128,

130,193 sense-making, 7, 8 strategies, 25,172,173 thinking, 6-8,30,44,49,53,54,

56-58, 61-66, 68-71, 77, 78, 116, 119, 121, 126, 131, 135137, 139, 140, 151-153, 172, 175, 177, 190, 193, 205, 209, 212, 233, 240, 255-257, 259, 261-269,271

understanding, 7, 28, 57, 138, 143, 146, 148, 152, 161, 173, 189, 210, 230, 240, 242, 252, 256,258-261,271

Mathematical (cont.) validity, 119, 121, 124, 131,

255, 258 worlds, 112

Mathematics conventional, 7, 210,233,234 doing, 6,12 logic of, 110, 296 reforming, 27,185

Meaning negotiation of, 6, 72, 187, 194,

241 Memory

long term, 6 Metacognition, 187,190 Methodology

qualitative, 278 quantitative, 278

Microsociologists, 296 Model

first-order, 165 second-order, 165,166

Modeling direct, 63,136, 253,258,260

Multidigit division, 33,140 multiplication, 33, 126, 129,

139 subtraction, 14

Multiplicity, 19,42 Networks, 6 Norms, 6, 7, 31, 41, 73, 98, 99,

161, 162, 187, 189-192, 194, 195, 198, 200, 201, 205, 240, 241,256,263,264,268

Notation, 37, 38, 123-125, 128, 130,148,152,210

Participation, 30, 55, 56, 62, 65, 67-69,183,187,190-193,195, 200, 201, 205, 217, 240, 242, 243, 252, 256,261-265,271

Pedagogy, 3, 8, 21, 54, 61, 72, 7881, 83, 84, 87, 91, 92, 99,109, 110, 115, 125, 167, 189, 190, 205, 239, 252, 261, 267, 270, 271, 287, 296

Perspective conception-based, 162-166,

173,174 perception-based, 162-166

Piaget, 161,167,194,295 Postmodern, 276, 278, 279 Practice

teachers', 70, 71, 91, 119, 135, 152,158,159,282

transformative, 68 Problem-solving

activity, 44 Procedures

nonstandard, 19,30 Proving, 17 Psychology

information-processing, 6 Questioning

teacher, 193,196,198,260, 261 Reasoning, 7, 12, 13, 55, 56, 107,

113, 124-126, 128, 130, 150, 175, 183, 185, 189, 190, 192195, 198, 200, 201, 213, 230, 244,255,256, 261,263, 295

Reconceptualization, 48,299 Reconstruction, 7 Recontextualization, 297 Reflection

student, 161 Reform

goals, 87,185, 267 Report ways, 190, 191, 193, 195,

197, 198, 200, 201, 203, 242, 243, 256, 264,289

Representations, 8, 14, 15, 18-20, 85,129,176,178,284

Sociocultural theory, 6,48 Sociology, 6,186,191,278 Strategies

counting, 42,136, 253 fact, 136,137 invented, 43,54

Symbolic interaction, 7 Teacher change, 7,280-282 Teacher education, 12, 21, 100,

160, 177, 209, 244, 275-277, 280, 281, 283,284,288, 299

Teaching facilitative, 30, 251-253, 255,

256, 259-263, 268, 270, 271, 276

nature of, 8, 9, 102, 183, 260, 271,281

practice, 30, 84, 85, 87, 186, 188, 211, 217, 282-284, 286, 289

research on, 5, 206, 249, 265, 272, 275-278, 280, 282, 283, 285,287-290

triad, 297,298 Teaching-in-context, 298 Thinking

reflective, 192,194, 265 Transmission, 276, 277, 280, 281,

285,298 Video clubs, 78,91,92 Vygotsky, 55,296