|
Specificity of Operation
Operational
specificity is the term used to describe the process of setting up an
arithmetic operation according to the parameters set forth in the question or
directive. The research results suggest a number of generalizations that can be
made with regard to operational specificity.
|
Quantitative tasks are easier when:
- the
numbers to be used are obvious. The task is more difficult if the reader has to
search for the values and infer labels associated with amounts.
- the
numbers appear in row or column format rather than in a random arrangement (as
for example in a prose paragraph).
-
arithmetic operations are explicitly signalled by the use of mathematical
symbols ( +, x, =, etc.) or explicit verbal cues (add,
subtract, total, etc.) If the operation is signalled by
the use of relational statements such as how much, what
amount, or calculate the difference, the operation becomes
more difficult. When these operations are indirect or implied as in what
is the net profit, or what is the discounted price, the task
becomes even more difficult.
Quantitative tasks are more difficult when:
- the reader
is required to work with ratios (one in four, two to one). Working with rates
(miles per gallon, litres per square yard) is yet more difficult.
-
operations require sequential steps. Tasks are made more difficult when the
amount resulting from one operation or task is used in the next
calculation.
- the
answer requires some transformationhours and minutes to hours only,
converting ratios to a common denominator, changing measurements from one
system to another, fractions to decimals, etc.
|
|