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ERIC Number: EJ853164
Record Type: Journal
Publication Date: 2009
Pages: 18
Abstractor: As Provided
Reference Count: 20
ISSN: ISSN-0021-8855
Constructing and Deriving Reciprocal Trigonometric Relations: A Functional Analytic Approach
Ninness, Chris; Dixon, Mark; Barnes-Holmes, Dermot; Rehfeldt, Ruth Anne; Rumph, Robin; McCuller, Glen; Holland, James; Smith, Ronald; Ninness, Sharon K.; McGinty, Jennifer
Journal of Applied Behavior Analysis, v42 n2 p191-208 Sum 2009
Participants were pretrained and tested on mutually entailed trigonometric relations and combinatorially entailed relations as they pertained to positive and negative forms of sine, cosine, secant, and cosecant. Experiment 1 focused on training and testing transformations of these mathematical functions in terms of amplitude and frequency followed by tests of novel relations. Experiment 2 addressed training in accordance with frames of coordination ("same as") and frames of opposition ("reciprocal of") followed by more tests of novel relations. All assessments of derived and novel formula-to-graph relations, including reciprocal functions with diversified amplitude and frequency transformations, indicated that all 4 participants demonstrated substantial improvement in their ability to identify increasingly complex trigonometric formula-to-graph relations pertaining to "same as" and "reciprocal of" to establish mathematically complex repertoires. (Contains 4 tables and 7 figures.)
Society for the Experimental Analysis of Behavior. Available from: Department of Applied Behavioral Science. Kansas University, 1000 Sunnyside Avenue, Lawrence, KS 66045-2133. Tel: 785-841-4425; Fax: 785-841-4425; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: High Schools; Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A