Mathematics: Given the mathematical
formula for the area of a circle, paraphrase it using your own
words.
3. Application (Using information in
concrete situations)
Mathematics: Compute the area of actual
circles.
Mathematics: When you have finished
solving a problem (or when a peer has done so) determine the
degree to which that problem was solved as efficiently as
possible.
4. Analysis (Breaking down material into
parts)
5. Synthesis (Putting parts together into a
whole)
Mathematics: Apply and integrate several
different strategies to solve a mathematical problem.
6. Evaluation (Judging the value of a
product for a given purpose, using definite criteria)
Mathematics: Given a math word problem,
determine the strategies that would be necessary to solve
it.
Bloom's use of the term
application differs from our normal conversational use of
the term. When working at any of the four highest levels of the
taxonomy, we "apply" what we have learned. At the
application level, we "just apply." At the higher levels,
we "apply and do something else."
The main value of the Taxonomy is
twofold: (1) it can stimulate teachers to help students acquire
skills at all of these various levels, laying the proper foundation
for higher levels by first assuring mastery of lower-level
objectives; and (2) it provides a basis for developing measurement
strategies to assess student performance at all these levels of
learning.