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Counting sequences

This table shows the ways in which students who interpret decimals in various ways would "count" between 1 and 2.

Increasing in size

2
.
.
1.6792
.
.
1.999
1.998
.
.
1.101
1.100

1.99
1.98
.
.
1.51
1.50
1.49
.
.
1.12
1.11
1.10

1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1

1

2
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1

1.99
1.98
.
.
1.51
1.50
1.49
.
.
1.02
1.01

1.999
1.998
.
.
.
1.002
1.001
.
.
1.6792
.
.
1

2
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9

1.10
1.11
.
.
1.49
1.50
1.51
.
.
1.98
1.99

1.100
1.101
.
.
.
1.998
1.999

.
.
1.6792
.
.
1

Order of decimals for a whole number thinker (Caitlin) Order of decimals for a denominator-focussed thinker (Ricardo) Order of decimals for a reciprocal thinker (Courtney)


For information about this page, contact: Vicki Steinle
Contact Email Address: v.steinle@unimelb.edu.au
Department Homepage: www.edfac.unimelb.edu.au/DSME
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Last modified: Thu 18 November 2004

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