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FILLING PRESCRIPTIONS FOR RATIONAL SETS: This appendix provides an…
FILLING PRESCRIPTIONS FOR RATIONAL SETS: This appendix provides an opportunity for you to practice the construction of rational sets of examples and nonexamples, given a relatively complete concept analysis. The exercise here is based upon the concept of PARALLELOGRAM. The procedures that you should follow here are identical to those which we introduced in Chapter Five. There you developed example and nonexample sets based upon an analysis of the concept of GAME BALL (2) questions are at the end
The Example
Parallelogram
Objective: From a completed analysis, generate the prescribed sets of teaching examples, teaching nonexamples, testing examples and testing nonexamples.
ANALYSIS IN ABSTRACT FORM (Concept C)
Critical:
Property A
Property B
Variable: Property X
a) dimension a
b) dimension b
c) dimension c
Property Y
a) dimension a
b) dimension b
Property Z
a) dimension a
b) dimension b
PRESCRIPTION FOR RATIONAL SETS
Teaching Sets. Testing Sets
NEG #1: lacks A (has B) New NEG #1: lacks A (has B)
NEG #2: lacks B (has A). New NEG #2: lacks B (has A)
EG #1: has Xa, Ya, Za New EG #1: has Xa, Yb, Za
EG #2: has Xb, Yb, Zb New EG #1: has Xb, Ya, Za
EG #3: has Xc, Ya, Zb New EG #3: has Xc, Vb, Zb
Note: EACH dimension of a Variable (for example: a, b, and c of X) MUST appear at least once in each set of EGs. However, all permutations and combinations of the possible dimensions of all the Variables are not required.
– With two Criticals, the NB-set must have two members, each illustrating the absence of only one of the Criticals (i.e., a “close-in” NEG for each Critical).
– Since one of the variables has three dimensions, each EX-set must have at last three EGs illustrating, in turn, each of the dimensions.
– Each testing set has the same requirements, with the added requirement that each specimen be “new,” that is, different from the EGs and NEGs used to teach.
ATTRIBUTES RESULTING FROM AN ACTUAL ANALYSIS
Concept: A Parallelogram is a geometric figure which:
Critical Attributes
1. is closed
2. has four line segments
3. has each pair of opposite segments parallel
Variable Attributes
4. Angles may be:
a) 90 degrees
b) other than 90 degrees
5. Orientation may be:
a) horizontal with respect to plane of page
b) angled with respect to plane of page
6. Length of segments may be:
a) equal
b) different and well-proportioned
c) very different (“skinny” figure)
Please Help!!!!!!!!!!!!!!
The two questions that need to be answered BELOW for GAME BALL
1. Develop a complete prescription for the two sets of examples and for the two sets o f nonexamples. Check that you have covered each dimension of each Variable and that a “close-in” nonexample illustrates the absence of each Critical.
2. “Fill” the prescription with rel examples and nonexamples that satisfy the description set forth in your prescription. Check that each specimen in the testing set is sufficiently new to avoid rote memory testing
