scholarly journals Extrapolation accuracy underestimates rule learning: Evidence from the function-learning paradigm

2021 ◽  
Vol 218 ◽  
pp. 103356
Author(s):  
Nadia Said ◽  
Helen Fischer
2019 ◽  
Author(s):  
Nadia Said ◽  
Helen Fischer

Understanding the development of non-linear processes such as economic or populationgrowth is an important prerequisite for informed decisions in those areas. In the function-learningparadigm, people’s understanding of the function rule that underlies the to-be predicted process istypically measured by means of extrapolation accuracy. Here we argue, however, that even thoughaccurate extrapolation necessitates rule-learning, the reverse does not necessarily hold: Inaccurateextrapolation does not exclude rule-learning. Experiment 1 shows that more than one third of participants who would be classified as “exemplar-based learners” based on their extrapolation accuracy were able to identify the correct function shape and slope in a rule-selection paradigm, demonstrating accurate understanding of the function rule. Experiment 2 shows that higher proportions of rule learning than rule-application in the function learning paradigm is not due to (i) higher a priori probabilities to guess the correct rule in the rule-selection paradigm; nor is it due to (ii) a lack of simultaneous access to all function values in the function-learning paradigm. We conclude that rule application is not tantamount to rule-learning, and that assessing rule-learning via extrapolation accuracy underestimates the proportion of rule learners in function-learning experiments.


1997 ◽  
Vol 19 (2) ◽  
pp. 195-221 ◽  
Author(s):  
Robert M. DeKeyser

This study is a fine-grained analysis of extensive empirical data on the automatization of explicitly learned rules of morphosyntax in a second language. Sixty-one subjects were taught four morphosyntactic rules and 32 vocabulary items in an artificial language. After they had reached criterion on a set of metalinguistic tests of grammar and vocabulary, they engaged in systematic, computer-controlled comprehension and production practice for 8 weeks. Comprehension practice consisted of choosing between pictures displayed on the computer screen to match a sentence; production practice consisted of typing the correct sentence corresponding to a picture. All subjects were taught the same rules and then practiced them, and all subjects had the same amount of comprehension and production practice, but which rules were practiced in comprehension and which in production varied between groups. Results show that the learning of morphosyntactic rules is highly skill-specific and that these skills develop very gradually over time, following the same power function learning curve as the acquisition of other cognitive skills. These results are consistent with current skill acquisition theory.


Author(s):  
Hadar Ram ◽  
Dieter Struyf ◽  
Bram Vervliet ◽  
Gal Menahem ◽  
Nira Liberman

Abstract. People apply what they learn from experience not only to the experienced stimuli, but also to novel stimuli. But what determines how widely people generalize what they have learned? Using a predictive learning paradigm, we examined the hypothesis that a low (vs. high) probability of an outcome following a predicting stimulus would widen generalization. In three experiments, participants learned which stimulus predicted an outcome (S+) and which stimulus did not (S−) and then indicated how much they expected the outcome after each of eight novel stimuli ranging in perceptual similarity to S+ and S−. The stimuli were rings of different sizes and the outcome was a picture of a lightning bolt. As hypothesized, a lower probability of the outcome widened generalization. That is, novel stimuli that were similar to S+ (but not to S−) produced expectations for the outcome that were as high as those associated with S+.


1969 ◽  
Vol 80 (3, Pt.1) ◽  
pp. 450-454 ◽  
Author(s):  
Peter J. Johnson ◽  
Roger H. White
Keyword(s):  

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