Bold type denotes key terms for
children’s mathematical graphics
abstract mathematical language, 81
abstract symbols/symbolism/signs xviii,
xix, 2, 9, 24, 64, 71, 73, 74, 77, 78,
79, 80, 88–89, 106, 107, 108. 109,
115, 119, 121, 131, 132, 166, 167,
181, 190, 195, 207, 212, 213, 214,
216, 217, 226, 236, 237, 240 241, 257
see alsoconventional symbols, standard
symbols
actions, 13, 14, 16, 27, 36, 3, 50, 54, 55,
61, 89, 91, 93, 95, 112, 154, 198,
218, 221, 241, 242
addition, 6, 9, 14, 69, 70, 71, 72, 74, 87,
88, 105 -125
adult directed/led, teacher-directed, 32,
44, 76, 82, 86, 94, 135, 136–139,
161, 162,171, 177, 191
algorithms, 4, 70, 75–76, 85, 132, 240
approximations, 14, 17, 18, 59, 64, 124,
157, 205
art, 10, 14, 34, 45, 54, 64, 90, 95, 105,
135, 142, 161, 199, 223
artists, 90, 135
attractors/attractor systems, 54, 61
assessment, xvii, xix, 10, 57, 67, 82, 107,
150, 187, 190, 192–204, 214, 233,
234
Australia 3, 5, 10
Behaviourism, 20–21, 33
bi-cultural, 24, 81
bi-lingualism, 77, 78, 119
bi-literacy, 79, 81, 83
bbii--nnuummeerraaccyy, 68, 77, 79, 83, 106, 130,
195, 236, 240
Birth to Three Matters, xviii,
block play, 11, 36, 39, 45, 47, 54, 93, 168
brain, 132, 223, 236
Brazilian street children, 4
British Infant School, xviii
calculations, 3, 4, 5, 7, 9, 33, 70, 71, 75,
80, 87, 88, 90,105, 106–133, 170,
180, 186, 194, 198, 204, 213, 214,
217, 221, 223, 226, 227, 230, 241,
242
calculation strategies, 5, 103, 108
CCaallccuullaattiinngg wwiitthh llaarrggeerr nnuummbbeerrss
ssuuppppoorrtteedd bbyy jjoottttiinnggss, 126–129, 131
calculators, 171, 180
Cambridge Learning Network, 169–173
see alsoLearning Networks
CCaatteeggoorriieess ooff cchhiillddrreenn’’ss mmaatthheemmaattiiccaall
ggrraapphhiiccss, 86
child-initiated play/learning, 136, 139
see alsofree-flow play
child sense, 14, 76
Children’s Centres, xviii, 36, 162, 169,
170, 172
children’s difficulties, 6, 9, 68, 71, 73, 74,
75, 76, 78, 84, 207, 208, 229, 230
see alsoteachers’ difficulties
China, 36
code-switching, 119 -123, 240
CCoommmmoonn ffoorrmmss ooff ggrraapphhiiccaall mmaarrkkss,,
87–89
community of practice, 32
Communicating Matters
computer, 15, 24, 25, 27, 60, 111, 140,
181, 222
computer games/software, 60, 170, 222
Constructivism, constructivist, 21, 22, 33
Construction (building), 34, 39, 45, 47,
53, 54, 62, 168, 242
Continuing the Learning Journey, 82
conventional symbols, 20, 23, 57, 64, 70,
124, 125
see alsoabstract symbols, signs, symbols,
standard symbols
256
Subject Index
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