A comparison of self-instructional checking procedures for remediating mathematical deficits

We examined the relative effectiveness of three procedures for teaching long multiplication/division to seven adolescents with learning disabilities: no-checking, end-checking, and multi-checking. During training, each subject was taught by modelling and imitation to verbalize self-instructions in the form of a strategy while solving the problems. The relative effects of the checking and no-checking procedures on accuracy and rate of problems completed were examined in an alternating treatments design. The best treatment was then given alone and a reversal was implemented six weeks later, followed by a return to the best treatment during a final phase. Irrespective of the procedure used, the subjects' accuracy improved while the rate of problems completed decreased. These effects were greatest with the multi-checking procedure for six of the seven subjects. Generalization to untaught problems of various levels of complexity occurred under all procedures. Though maintenance effects were seen during the follow-up, accuracy was generally higher and more reliable when the subject's best checking procedure was reinstated. It is suggested that error detection and correction were important for maintaining high levels of accuracy and that these operated differentially in the three procedures to produce the differing levels of accuracy. The role of other factors such as pre-skill knowledge, complexity of the problem and prior reinforcement history are also considered.     

'Whereof We Speak': Gregory of Nyssa, Jean-Luc Marion and the Current Apophatic Rage

Recent postmodern discussions of the Christian apophatic tradition level a noteworthy criticism: after all its negations doesn't Christian apophatic discourse in fact slip back into kataphatic assertions about God? This article seeks to address this claim by bringing into concert two important Christian apophaticists (Gregory of Nyssa and Jean‐Luc Marion) in order to designate a type of discourse that emerges from apophatic union, a discourse that is not kataphatic but logophatic.     

Accounting for Graded Performance within a Discrete Search Framework

This article presents a process account of some typicality effects and related similarity-dependent accuracy and response time phenomena that arise in the context of supervised concept acquisition. We describe Symbolic Concept Acquisition (SCA), a computational system that acquires and activates category prediction rules. In contrast to gradient representations, SCA performs by probing for prediction rules in a series of discrete steps. For learning new rules, it acquires general rules but then incrementally learns more specific ones. In describing SCA, we emphasize its functionality in terms of accuracy and efficiency and motivate its design within the set of symbolic mechanisms and memory structures defined by the Soar architecture (Laird, Newell & Rosenbloom, 1987). For replicating human behavior, we first show how SCA exhibits some typicality effects in the course of learning responding faster and more accurately to more typical test examples. Then, using data from human experiments, we evaluate SCA's qualitative predictions on accuracy and response time on individual dataset instances. We show how SCA's predictions correlate with human data across three experimental conditions concerning the effect of instruction on learning strategy.     

Naive Probability: Model‐Based Estimates of Unique Events

We describe a dual‐process theory of how individuals estimate the probabilities of unique events, such as Hillary Clinton becoming U.S. President. It postulates that uncertainty is a guide to improbability. In its computer implementation, an intuitive system 1 simulates evidence in mental models and forms analog non‐numerical representations of the magnitude of degrees of belief. This system has minimal computational power and combines evidence using a small repertoire of primitive operations. It resolves the uncertainty of divergent evidence for single events, for conjunctions of events, and for inclusive disjunctions of events, by taking a primitive average of non‐numerical probabilities. It computes conditional probabilities in a tractable way, treating the given event as evidence that may be relevant to the probability of the dependent event. A deliberative system 2 maps the resulting representations into numerical probabilities. With access to working memory, it carries out arithmetical operations in combining numerical estimates. Experiments corroborated the theory's predictions. Participants concurred in estimates of real possibilities. They violated the complete joint probability distribution in the predicted ways, when they made estimates about conjunctions: P(A), P(B), P(A and B), disjunctions: P(A), P(B), P(A or B or both), and conditional probabilities P(A), P(B), P(B|A). They were faster to estimate the probabilities of compound propositions when they had already estimated the probabilities of each of their components. We discuss the implications of these results for theories of probabilistic reasoning.     

Developmental Changes in Discrepancies Between Adolescents’ and Their Mothers’ Views of Family Communication

Prior work indicates that adolescents perceive the family more negatively than do their parents. These discrepant views comprise some of the most robust observations in psychological science, and are observed on survey reports collected in vastly different cultures worldwide. Yet, whether developmental changes occur with these discrepant views remains unclear. In a sample of 141 adolescents and their mothers, we examined 1-year developmental changes in discrepancies between parents’ and adolescents’ views of family functioning. We focused on discrepant views about a relatively covert domain of family functioning (i.e., internal views of open communication) and a relatively overt domain of such functioning (i.e., views about observable communication problems). We observed significant developmental changes in discrepant views for open communication, but not for communication problems. These findings have important implications for research examining links between discrepant views of family functioning and whether these discrepancies serve as risk or protective factors for adolescent psychosocial functioning.     

The Relation Between Factual and Counterfactual Conditionals

What is the relation between factual conditionals: If A happened then B happened, and counterfactual conditionals: If A had happened then B would have happened? Some theorists propose quite different semantics for the two. In contrast, the theory of mental models and its computer implementation interrelates them. It postulates that both can have a priori truth values, and that the semantic bases of both are possibilities: states that are possible for factual conditionals, and that were once possible but that did not happen for counterfactual conditionals. Two experiments supported these relations. Experiment 1 showed that, like factual conditionals, certain counterfactuals are true a priori, and others are false a priori. Experiment 2 replicated this result and showed that participants selected appropriate paraphrases, referring, respectively, to real and to counterfactual possibilities, for the two sorts of conditional. These results are contrary to alternative accounts of conditionals.     

Spiritually based parenting workshop: An outcome study

The present study observed the effects of one spiritually based parenting workshop: Parent and Family Healing. A repeated-measures design using before, after, and 3-week follow-up revealed that in the sample of 65 parents, Parent and Family Healing significantly lowered parents’ stress and negative affect, and increased their parental efficacy and parental satisfaction. These effects were all maintained at the 3-week follow-up. The workshop also significantly increased parents’ positive affect, but this change was not maintained 3 weeks following the workshop. Spirituality level did not change significantly over the course of the workshop or at follow-up, despite the workshop being spiritually based. Participants rated all the spiritual components of the workshop as between somewhat and very helpful. Finally, parents’ free-response answers revealed very positive opinions about the workshop, its effects, and the spiritual approach taken.     

Therapeutic Intervention,Bipolar Inclination,and Literary Creativity

Richards (1997) proposes an "edge-of-chaos" theory of creativity, suggesting that circumstances that present widely disparate perspectives and ideas not perfectly coordinated with each other can stimulate creative thought, especially among persons of bipolar mood inclination. Barnes's (1996) play therapy procedure is well constituted to meet the criteria stipulated by this theory. Forty-four college students experienced 40 min of play therapy, and another 44 read and interpreted children's stories from different cultures. Half the students in each condition showed an inclination toward bipolar mood disorder as measured by the Millon Clinical Multiaxial Inventory (3rd ed.; Millon, 1994); the other half did not. Persons with an inclination toward bipolar disorder who underwent play therapy exhibited creative performance significantly more than other persons.     

Historigism and historical laws of development

Philosophers, social thinkers, and social activists continue to puzzle over the notion of an historical law of development. What this paper attempts is: (1) a statement of what might reasonably be understood by the notion of an historical law of development as well as some historical background to the notion, (2) a discussion of the various logical possibilities regarding the status of historical laws of development, (3) an examination of the views of Karl Popper on historical laws of development and social science, and (4) a suggestion or two concerning the connection between the analysis of the notion of an historical law of development and politics.