Activity matrix
Activity
N1 Counting and counting out
circle counting
two more than me
chains
odds and evens
multiples
giver of the rule
counting stick contexts
signing numbers
N2 Saying and making numbers
using the Gattegno Chart
saying and making numbers
develop and extend ideas
counting in other languages
N3 Arabic and other number systems
talking and making numbers
origins of numbers
exploring other number systems
N4 Working with grids
clouds, ink blots
snakes and worms
masks and holes
extension activities
N5 Working with target boards
target and mystery numbers
cover up and pairs
differences
‘Gusinter’
doubling and halving
what game could we play?
extensions
guess my number
N6 Working with sets
presents
snakes
teddies
dogs
chickens
trains
N7 Working with square numbers
N8 Exploring algebra
algebra rules and patterns
some algebraic games
growth patterns
function machines
progression in algebraic thinking
traffic lights
ice creams
©Routledge/Taylor & Francis 2014
Strategies
saying in a circle
people maths, wear number cards
people maths, playground maths
people maths
people maths
counting game, circle, rule cards
number line, horiz’l/vert’l
resource, visual and kinaesthetic
sound, word, symbol, concept
silent Way, teacher is silent
comparing logic across 5 languages
rhythm, pattern, logic, problem solving
varied approaches
history and prefixes
rhythms, patterns and cultures
grids, revealing the hidden
grids, prediction
algebra of the grid, revealing numbers
varied approaches
questions, fluency
whole class games
number patterns, complements
limits, ready recall
factors and multiples
links/relationships
decisions, rule making
varied approaches
good questions, winning strategies
logic, real maths, relationships
discuss
compare
create
invent narrative, justify
multiples...
build quantities
patterns, relationships, algebra
predict and reason
predict
language and play
generalise
inverse
varied approaches, diverse contexts
investigation, combinations
investigation, presentation
Page
10–15
10
10
10
11
11
11
12
15
16–25
26–31
32–9
32
33
34
36
40–5
40
41
42
42
42
43
43
45
46–7
46
47
47
47
47
47
48–9
50–7
50
51
52
53
54–5
56
56
number plates
flags
six pebbles and one egg-box
N9 Floor to head
large objects on the floor
hidden number patterns
floor to head examples
the story of six
braille patterns
O1 Number lines
working with empty number lines
strategies
O2 Story of 24
say what you know
number sentences
novel statements
writing about 24
factors of 24
O3 Arithmetic operations
there and back again
BPODMAS board game
various algorithms
Egyptian, Gelosia and Russian methods
5 place value games
all the fours
real money
converting £ to $
strategies for finding 1/10th, 10%
moving the decimal point
rule of three
O4 Arithmogons & other puzzles
Arithmogons
Chains
Dartboards
Pyramids
Sudoku, Futoshiki, Killer Sudoku
Sujito, Kakuro
Hungarian puzzles
O5 Teaching multiplication tables
patterns and links
odds and evens
loop cards
doubling and halving
look up table for division
patterns on the grid
O6 Divisibility rules
number detective
checking
S1 Visualisation
numbers and number line
remembering and imagining
paper folding
S2 Shape activities and investigations
classifying quadrilaterals
©Routledge/Taylor & Francis 2014
investigation, potential
investigation, combining colours
investigation, practical, limits, model
visual, auditory, kinaesthetic, links
kinaesthetic
mental images
representation, internalise concepts
multisensory approach, generalise
a visual and tactile system
modelling arithmetic operations
tool to think with
model different operations
different representations
develop and extend maths statements
use words as well as symbols
create inverse, reciprocal statements
experiment, extend with written forms
visualising, representation
logic, algorithms, calculate, procedures
calculation strategies
compare procedures and understanding
investigate and explore number theory
investigate, represent, recursion
spread sheet
solve word problems
problem solving calculation templates
generate solutions
trial and improvement
logic
practice computation
solve varied popular puzzles
harder puzzles to solve
develop meta-level algebraic strategies
aware of relationships
shortcuts
truth table and a surprise
re-enforcement, whole class
10 strategies
route to division
symmetry, equivalence, efficiency
old tricks, remainders and digital roots
practice card game, find short cuts
combining rules, being sure, self-assess
numbers, patterns and shapes
mental images
building mental images
spatial awareness, prediction
investigate, classify, generalise, predict
investigation, Venn diagram
56
56
57
58–63
58
59
61
62
62
64–7
64, 67
65–6
68–75
68
69
70
71
72–3
76–87
78
79
80
81–2
83
84
85
86
86
86
87
88–99
88
89
89
89
92
93
94–9
100–9
100
102
103
104
105
106–9
110–13
111–12
113
114–19
114–15
116
118
120–7
122
faces, corners and edges
passola or polygrams
pentominoes
hexiamonds
S3 Working with cloths
magicians cape
folding and unfolding
squares and rectangles
exploring perimeter
walking out in LOGO
S4 Unusual and unfamiliar
surprises
what’s in the bag
unusual objects
maths trails
bag of bits
unusual sets and traps
break-states
brain gym
double doodle
deux mains et deux pieds
alphabet edit
mime
it’s a tick, it’s a tock
S5 Changing shapes
the longest knicker elastic in the world
handwriting patterns and nursery rhymes
cat’s cradle
jigsaw pieces
create shapes that tessellate
shape and space in nature and art
blowing bubbles
growing crystals
transformational geometry
M1 Measurement
using exotic fruit
estimating
giants and tiny people
fixed area: 24 paving tiles
fixed perimeter: 24 sheep hurdles
fixed volume: 24 blocks
maxbox/boxes without tops
M2 Data handling and the media
starting with the media
reduce, reuse, recycle
M3 Statistics and probability
everyday prediction
pass the pigs
coin tossing
throwing two dice
it’s a long way to Tipperary
M4 Using personal measurement
M5 Investigating measurement
concept maps
©Routledge/Taylor & Francis 2014
investigation, approach Euler’s theorem
investigation, people maths
investigation, be systematic
investigation, make rules
spatial awareness, language and stories
link object, name and shape, connections
predict, transform, reveal
predict, explain, area, perimeter
investigate, represent
VAK, being the shape
stimulate, imagine
imagine
imagine, promote connections
explore, imagine
outdoor awareness
personal contribution
explore
awareness
balance thought processes
kinaesthetic, balance
rhythm
VAK challenge
circle game
circle game
spatial awareness + VAK
investigate, kinaesthetic
rhythm in shape
operations with string
logic and space
change shapes
maths in nature
experiment, create
experiment, observe
operations with shape
representation
collect data, real maths
imagine and explore
investigate
investigate and create
investigate and create
investigate
value for money?
plan, compute, act
folklore
unpredictable?
experiment and predict
experiment and investigate
explore the probable
find body ratios
experiment, logic, origins
show what you know
123
124
125–6
127
128–33
128–9
130
131
132
133
134–9
134
135
135
136
136
136
137
137
137
138
138
139
139
140–5
140
141
141
141–2
142
143
143
144
144–5
146–55
146–8
149–51
152–3
154
154
155
155
156–9
156–8
159
160–5
162
163
163
164
165
166–7
168–78
168–9
mass, length and time
quantities large and small
stamps
coins
egg timers
make a pendulum
make a tocker
make a water clock
candle clock
sundial and shadows
jugs of water
weights
temperature and heat
X1 Cross-curricular approaches: A sense
of place
problem solving school
sinking and floating boats
developing a sense of place
maths trails
using school grounds
tree and footpath survey
local park and playground
map making
dealing with rubbish
growing things
X2 Playing with the language of maths
prefixes for metric system
other numerical prefixes
target boards and maths language
algebra of poetry
haiku
suzette prime
X3 Maths in music, dance and knitting
structure, listening and reading
songs with young children
twiddle the middle and ends
X4 Maths, sustainability and the global
dimension
personal to global dimension
having a voice!
equality and justice
clean air, water and food
X5 Reasoning, logic, proof and
programming
which big ideas to teach?
risk taking
learning by making
LOGO starting points
Examples exclusive to Part II
overlapping squares
triangles
©Routledge/Taylor & Francis 2014
fundamentals
explore
problem solving
investigate
logic
experiment, variables
experiment
experiment
historic experiment
outdoor experiment
practical logic
elegant solutions
collect data, organise, analyse
become aware and connect with a place
170–2
172
173
173
174
174
174
175
175
176
176
176
177
179–83
real maths, whole school approach
experiment, maths in science
awareness of locality
outdoor tasks
explore, innovate
collect data
survey
survey, represent
practical action
connect
maths in language and language in maths
apply mathematical terminology
extension
make links
language as code
word discipline
structure
maths in other subjects
analyse, deconstruct
maths in music
VAK
Ethical thinking, developing awareness
179
179
180
180
181
181
182
182
182
183
184–7
184
185
186
186–7
187
187
188–92
188
189
189–90
193–6
algebra of relationships, interdependence
represent information, communicate
resource use and planning
going deeper, understand, connect
strengthen reasoning
193
194
194
195
197–202
re-think the curriculum
challenge, engage
learning together
imagine, visualise, program
199
200
200
201–2
varied resource, varied outcome
247, 250, 257
256