THE ADDITION AND SUBTRACTION OF SIGNED QUANTITIES
Abstract
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Where Do Students Need to Go?
New Kinds of Quantities
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SIGNED QUANTITIES
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Figure 1.
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Figure 2.
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New Addition and Subtraction Concepts
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b a
b
b
a
that a
a
b
a
b
a
b
a
b
a
b
a
b b
a
b
a
a
b
b
b -b
–b
a
b
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SIGNED QUANTITIES
Figure 3a.
Figure 3b.
Figure 4
a + (-b)
a – b.
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Where Are Students Coming From?
SIGNED QUANTITIES
The Nature of Quantities
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Addition and Subtraction with Natural Numbers
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or
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What Happens Along the Way?
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I added 5
I added 8
minus 2
far apart by pounds
the biggest change
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or
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Figure 5.
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Figure 6.
Adding and Subtracting Signed Quantities
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3
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SIGNED QUANTITIES
Figure 7.
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Further Research
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References
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th
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