Global Strategy Stage (GloSS): Form B
The answers to these tasks determine which global strategy a student uses. Description of the
stages follows the questions.
1
2
Materials Needed.
20 counters.
Two A5 sized cards to cover counters.
Questions
Task (1):
Actions:
Say:
Decision:
Count 9 objects.
Provide the students with access to a pile of counters of the same colour.
Please get me 7 counters.
If the student could not count 7 items rate the student as Stage 0 on operational
strategies. Stop the interview. Otherwise proceed to task (2).
Task (2):
Actions:
Say:
Work out 6 + 2 on materials.
Place 6 counters in the student’s hand. Place 2 counters in the student’s other hand.
Please hold out your hands for me. Here are 6 counters. Here are another 2
counters. How many counters have you got altogether?
If the student is unable to solve 6 + 2 correctly rate them at stage 1 and stop the
interview. If the student solves 6 + 2 by physically counting all the counters rate
her/him at stage 2 and stop the interview. Otherwise proceed to task (3).
Decision:
Task (3):
Actions:
Say:
Decision:
Task (4):
Actions:
Say:
Decision:
Task (5):
Find 8 + 5.
Place 8 counters under a card then place 5 under another card.
Here are 8 counters, and here are 5 counters. How many counters are there
altogether?
If the student solves the task by a part-whole method (e.g. 8 + 2 + 3 = 10 + 3)
proceed to Task (4). If the student solves the task by “counting on” rate them at
stage 4 and stop the interview. If the student could not solve the problem rate them
at stage 3 and stop the interview.
a Leeana counted 82 yellow-eyed penguins on the beach at dawn. By nine o’clock
there were only 47. How many penguins had swum out to sea?
b Vim had scored 389 runs in the season. Today he scored 126. How many runs had
he scored in total?
c Titus collected 306 golf balls out of the water trap. He gave 192 of them to the golf
club and kept the rest. How many golf balls did he keep?
In turn show the cards with the problems.
Read the cards in turn.
If the student gets 2 or 3 of problems correct, using at least two different part-whole
strategies, proceed to task (5) Otherwise rate the student at stage 5 and stop the
interview.
a
Katie sees that there are 8 trays of eggs left for the camp breakfast? There are
48 eggs in each tray. How many eggs does Katie have left?
b
Andre has ordered 81 tennis balls. They are in cans of 3 balls. How many
cans should there be?
Actions:
Say:
Decision:
Show the student the cards with the problems on them.
Read what is on the cards to the student..
If the student gets both questions correct, using at least two different part-whole
strategies, proceed to Task (6). Otherwise rate the student at stage 6 and stop the
interview.
Task (6):
a
It takes Anikiwa 6 hours to service 14 cars. Each car takes the same time.
How long will it take him to service 21 cars?
b
Naylin invited his friends to a barbeque. 24 friends came, 16 of them
couldn’t come. What percentage of Naylin’s friends attended the barbeque?
Show the cards with the problems on them.
Read what is on the cards to the student.
If the student gets both questions correct, using at least two different part-whole
strategies, rate them at stage 8. Otherwise rate the student at stage 7.
Actions:
Say:
Decision:
Description of Strategy Stages
Stage & Behavioural Indicator
0
Emergent
The student has no reliable strategy to count an unstructured collection of items.
1
One to One Counting
The student has a reliable strategy to count an unstructured collection of items.
2
Counting from One on Materials
The student’s most advanced strategy is counting from one on materials to solve
addition problems.
3
Counting from One by Imaging
The student’s most advanced strategy is counting from one without the use of
materials to solve addition problems.
4
Advanced Counting
The student’s the most advanced strategy is counting-on, or counting-back to solve
addition or subtraction tasks.
5
Early Additive Part-Whole Thinking
The student shows any Part-Whole strategy to solve addition or subtraction
problems mentally by reasoning the answer from basic facts and/or place
value knowledge.
6
Advanced Additive Part-Whole Thinking
The student is able to use at least two different mental strategies to solve
addition or subtraction problems with multi-digit numbers.
7
Advanced Multiplicative Part-Whole
The student is able to use at least two different mental strategies to solve multiplication
and division problems with whole numbers.
8
Advanced Proportional Part-Whole
The student uses at least two different strategies to solve problems that involve
equivalence with and between fractions, ratios and proportions.
6+2
8+5
Leeana counted 82 yellow-eyed
penguins on the beach at dawn.
By nine o’clock there were only 47.
How many penguins had swum out to
sea?
Vim had scored
389 runs in the
season.
Today he scored
126.
How many runs
has he scored in
total?
Titus collected 306 golf balls out of the
water trap.
He gave 192 of them to the golf club
and kept the rest.
How many golf balls did he keep?
Katie sees that there
are 8 trays of eggs left
for the camp
breakfast?
There are 48 eggs in
each tray.
How many eggs does
Katie have left?
Andre has ordered
81 tennis balls.
They are in cans of
3 balls.
How many cans
should there be?
It takes Anikiwa
6 hours to clean
14 cars.
Each car takes
the same time.
How long will it
take him to
clean 21 cars?
Naylin invited his friends to a
barbeque.
24 friends came,
16 of them couldn’t come.
What percentage
of Naylin’s
friends attended
the barbeque?