Chris Ninness

USING THE STIMULUS EQUIVALENCE PARADIGM TO TEACH COURSE MATERIAL IN AN UNDERGRADUATE REHABILITATION COURSE

In 2 experiments, we examined whether the stimulus equivalence instructional paradigm could be used to teach relations among names, definitions, causes, and common treatments for disabilities using a selection-based intraverbal training format. Participants were pre- and posttested on vocal intraverbal relations and were trained using multiple-choice worksheets in which selection-based intraverbal relations were taught and feedback was delivered until mastery. Most participants in Experiment 1 showed the emergence of vocal intraverbal relations, but responding did not generalize to final written intraverbal tests. Participants in Experiment 2 showed the emergence of not only vocal intraverbal relations but also written intraverbal relations on final tests. Results suggest that the stimulus equivalence paradigm can be effectively implemented using a selection-based intraverbal training format, the protocol may be an effective means of emphasizing important concepts in a college course, and emergent skills may generalize to novel response topographies.

CONSTRUCTING AND DERIVING RECIPROCAL TRIGONOMETRIC RELATIONS: A FUNCTIONAL ANALYTIC APPROACH

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.

A Relational Frame and Artificial Neural Network Approach to Computer-Interactive Mathematics.

Fifteen participants unfamiliar with mathematical operations relative to reflections and vertical and horizontal shifts were exposed to an introductory lecture regarding the fundamentals of the rectangular coordinate system and the relationship between formulas and their graphed analogues. The lecture was followed immediately by computer-assisted instructions and matching-tosample procedures in which participants were e)(posed to computerposted rules regarding the relationship between particular types of formulas and their respective graphs. After participants demonstrated mutual entailment on formula-to-graph and graph-toformula functions, they were assessed for 36 novel relations on complex variations of the original training formulas and graphs. In Experiment 1, 5 of 15 participants demonstrated perfect or near perfect performance on all novel relationships. Experiment 2 was directed at the remaining 10 participants who failed to correctly identify all mathematical relationships assessed in Experiment 1. The error patterns for these 10 participants were classified with the help of an artificial neural network self-organizing map (SOM). Training in Experiment 2 was directed exclusively at the types of errors identified by the SOM. Following remedial training, all participants demonstrated a substantial reduction in errors compared to their performance in Experiment 1. Derived transfer of stimulus control using mathematical relations is discussed.

Learning Skinner’s Verbal Operants: Comparing an Online Stimulus Equivalence Procedure to an Assigned Reading

The purpose of the present study was to compare the effects of an online stimulus equivalence procedure to that of an assigned reading when learning Skinner’s taxonomy of verbal behavior. Twenty-six graduate students participated via an online learning management system. One group was exposed to an online stimulus equivalence procedure (equivalence group) that was designed to teach relations among the names, antecedents, consequences, and examples of each elementary verbal operant. A comparison group (reading group) read a chapter from a popular textbook. Tests for the emergence of selection-based and topography-based intraverbal responses were then conducted, as were tests for generalization and maintenance. Overall, results suggest that the online equivalence procedure was not significantly more effective in promoting topography-based responses than the assigned reading. However, performance on selection-based tests was enhanced by the online equivalence procedure as was performance on topography-based tests when participants were required to provide operant names in response to consequences or examples. On average, the equivalence group performed at a level that was 10 percentage points (i.e., a full letter grade) above that of the reading group. The viability of the equivalence-based procedure is discussed in relation to the assigned reading.

Behavioral and Physiological Neural Network Analyses: A Common Pathway toward Pattern Recognition and Prediction.

Using 3 diversified datasets, we explored the pattern-recognition ability of the Self-Organizing Map (SOM) artificial neural network as applied to diversified nonlinear data distributions in the areas of behavioral and physiological research. Experiment 1 employed a dataset obtained from the UCI Machine Learning Repository. Data for this study were composed of votes for each U.S. Representative on 16 key items during a particular legislative session. Experiment 2 employed a dataset developed in our human neuroscience laboratory and focused on the effects of sympathetic nervous system arousal on cardiac and inner-ear physiology. Experiment 3 employed the well-known Wisconsin Breast Cancer dataset, which was used to develop a sensitive, automated diagnostic method of distinguishing between malignant and benign cells. We suggest that the SOM is capable of identifying cohesive patterns of nonlinear measurements that would be difficult to identify using traditional linear data reduction procedures and that neural networks will be increasingly valuable in the analysis of a wide range of complex behaviors.

Training and Deriving Precalculus Relations: A Small-Group, Web-Interactive Approach

A small-group, web-interactive approach to teaching precalculus concepts was investigated. Following an online pretest, 3 participants were given a brief (15 min) presentation on the details of reciprocal math relations and how they operate on the coordinate axes. During baseline, participants were tested regarding their ability to construct formulas for a diversified series of graphs. This was followed by online, construction-based, small-group training procedures focusing on the construction of mathematical functions and a test of novel relations. Participants then received group training in accordance with frames of coordination (same as) and frames of opposition (reciprocal of) formula- to-graph relations. Online assessment indicated that participants showed substantial improvement over baseline and pretest performances. This was true even though, during the tests of novel relations, graphs were displayed with scattered data points instead of solid lines on the coordinate axes. Although one participant was unable to complete the second half of the experiment, we were able to train this small group employing approximately the same number of exposures needed for individual training in previous research.