see alsoalgorithms, calculations,
CCaallccuullaattiinngg wwiitthh llaarrggeerr nnuummbbeerrss
ssuuppppoorrtteedd bbyy jjoottttiinnggss, CCoouunnttiinngg
ccoonnttiinnuuoouussllyy,, number operations,
SSttaannddaarrdd ssyymmbboolliicc ooppeerraattiioonnss wwiitthh
ssmmaallll nnuummbbeerrss,,written methods,
sustained shared thinking, 7
ssyymmbboolliicc ffoorrmm ooff ggrraapphhiiccss,,88–89, 90, 177
symbolic languages, 23, 33, 62, 96, 241
symbolic play, 18,
see alsohome corner, role play
symbols/symbolism, 4, 10, 14, 18, 21, 24,
25, 31, 32, 33, 58, 60, 61, 62, 70, 81,
90, 92, 96, 99
abstract, conventional, formal,
standard, 21, 32, 70, 71, 77, 79, 88,
89, 90
children’s own, 63, 96
iconic, 88
mathematical, number, 6, 20, 33, 45,
81, 85, 86, 89
understanding, 72–74
symbolic tools, 21, 23–24, 79, 213, 214
tables, seegraphs
tables, see graphicsarea, writing table
see alsotimes tables
take-away, see subtraction
tallies, 6, 80, 87, 115, 178, 182, 208, 209,
211, 234, 241
see alsoiconic forms
taxonomy, 131
see alsoCCaatteeggoorriieess ooff cchhiillddrreenn’’ss
mmaatthheemmaattiiccaall ggrraapphhiiccss
teachers’ beliefs, 12, 32–32, 194, 196
teachers’ difficulties, 82–83
‘third space’, 81
time–seemeasures
times tables, tables, 185–187
transitional forms, 80, 90, 93, 242
transformative thinking, 79
translate, translation, 2, 33, 38, 77–83, 85,
165, 195, 197, 236, 240
USA, 3, 4, 57, 75, 194
‘Using and Applying’ mathematics, 6–7
visits, home/school
enriching schemas, 44, 50–51, 180, 181,
210
weight, weighing, seemeasures
well-being, 136, 170
Wingate Nursery, 135
workbooks, worksheets, 2, 3, 4, 8–9, 31,
80, 81–82, 85, 115, 194–197, 229,
232
writing second language, 78, 119
see alsobi-literacy
see alsoemergent writing
writing area, table, 130–140, 145, 151,
152, 162– , 164, 202, 206
see also graphics area
wwrriitttteenn ffoorrmm ooff ggrraapphhiiccss,88, 89, 122
written calculations, 5, 71, 105, 108, 113,
129, 170, 239, 240, 241
methods,6, 7, 24, 64, 68, 76, 77, 80,86,
87,88, 90, 91, 105, 106, 107, 108,
115, 129, 130, 132, 185, 188, 193,
194, 195, 197, 199, 203, 205, 209,
210, 211, 213, 214, 215, 224, 231,
235, 237, 238, 239, 241, 242
see alsoalgorithms, calculations,
number operations, written methods,
sums
zero, 127, 148, 164, 177, 203–204
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