Learning Problem‐Solving Rules as Search Through a Hypothesis Space

Learning to solve a class of problems can be characterized as a search through a space of hypotheses about the rules for solving these problems. A series of four experiments studied how different learning conditions affected the search among hypotheses about the solution rule for a simple computational problem. Experiment 1 showed that a problem property such as computational difficulty of the rules biased the search process and so affected learning. Experiment 2 examined the impact of examples as instructional tools and found that their effectiveness was determined by whether they uniquely pointed to the correct rule. Experiment 3 compared verbal directions with examples and found that both could guide search. The final experiment tried to improve learning by using more explicit verbal directions or by adding scaffolding to the example. While both manipulations improved learning, learning still took the form of a search through a hypothesis space of possible rules. We describe a model that embodies two assumptions: (1) the instruction can bias the rules participants hypothesize rather than directly be encoded into a rule; (2) participants do not have memory for past wrong hypotheses and are likely to retry them. These assumptions are realized in a Markov model that fits all the data by estimating two sets of probabilities. First, the learning condition induced one set of Start probabilities of trying various rules. Second, should this first hypothesis prove wrong, the learning condition induced a second set of Choice probabilities of considering various rules. These findings broaden our understanding of effective instruction and provide implications for instructional design.     

Arguments in the practical reasoning underlying constructed probability responses

Reasoning is an important cognitive activity in probability assessment, and one that has been understudied. This proposition motivates the paper's three general aims. First, based on research in rhetoric, we present a theoretical means of analyzing the arguments constructed during the reasoning that occurs in probability assessment. Second, from verbal protocol data, we establish that subjects constructed arguments in forming beliefs and assessing the associated probabilities. Third, we analyze the data for the structure of subject's arguments, including argument content and form. Subjects used a limited amount of relevant evidence and used a variety of argument forms that could be characterized by the nature of the knowledge that subjects brought to bear in forming the arguments. Subjects predominantly used causal reasoning, but also employed hierarchical category knowledge, resemblance relationships, and arguments from authority. These findings form a basis for expanding our accounts of probability assessment and for improving assessment practice.     

Probability judgment accuracy for general knowledge. Cross-national differences and assessment methods

In this study we compare the probability judgment accuracy of subjects from the United States and Turkey. Three different response modes were employed — numerical probabilities, pie diagrams, and odds. The questions employed in the study were restricted to two-alternative, general-knowledge items. The observed pattern of differences in the components of probability judgment accuracy paralleled those of studies that have compared Western and Asian subjects. In particular, Turkish subjects exhibited better discrimination but worse calibration than their US counterparts. This result persisted across all three response modes. These findings lend support to previous assertions that observed cross-national differences arise from socioeconomic rather than Asian versus Western cultural differences. However, the consistency of the observed differences across response modes refutes a previous assertion that observed cultural differences are merely the result of response bias.     

Comparison of Explicit Forgiveness Interventions With an Alternative Treatment: A Randomized Clinical Trial

Forgiveness interventions can help people forgive past offenses. However, few studies have compared forgiveness interventions with genuine alternative treatments. The authors compared forgiveness interventions with a therapeutic alternative treatment. Participants reduced unforgiveness and increased forgiveness regardless of treatment condition. Trait forgivingness was not related to change in forgiveness, whereas greater offender contrition was related to greater reductions in unforgiveness. The type of treatment may not be as important as factors common to the interventions.     

Daily mood and stress predict pain, health care use, and work activity in African American adults with sickle-cell disease.

This study examined the extent to which daily mood and stress were associated with pain, health care use, and work activity in 41 adults (mean age=36 years) with sickle-cell disease. Multilevel model analyses of daily diaries (M=91 days) indicated that increases in stress and negative mood were associated with increases in same-day pain, health care use, and work absences. Lagged models suggested bidirectional relationships, with evidence that pain may be the more powerful initiating variable in pain-mood and pain-stress cycles. Of importance, positive mood was associated with lower same-day and subsequent day pain, as well as fewer health care contacts, suggesting that positive mood may serve to offset negative consequences of pain and other illness symptoms.     

Promoting adolescent sense of coherence: Testing models of risk,protection, and resiliency

Sense of coherence (SOC) is a dispositional trait that has been linked to well‐being in a broad range of populations and contexts. Little is known, however, about the factors associated with SOC development and maintenance across the lifespan. Conceptualized as a condition of resiliency, SOC in adolescents was explored via measures of risk and protection as reported on by 8th and 10th grade students (N = 1619). Employing cumulative indexes of protection and risk, analyses focused on testing four models of resiliency. Further, the relative and cumulative effects of protection and risk were explored across ecological domains. Analyses revealed support for the compensatory model of resiliency for males and females, while the challenge model also was supported for females. Analyses also revealed that protection and risk influencing SOC emerge at multiple domains for males and females. In addition, protective factors present at multiple domains were related to higher SOC while risk factors present at multiple domains were related to lower SOC regardless of gender. Results suggest a resiliency framework that considers multiple ecological domains is useful for understanding SOC in adolescents. Implications for additional research are presented. Copyright © 2008 John Wiley & Sons, Ltd.     

Relationships with Parents, Spousal Reciprocity, and Psychological Distress in Middle-Age Adults

Data from 301 middle-age couples were employed to investigate links between their recalled parents’ parenting styles and perceptions of reciprocity with their parents, as well as their current perceptions of spousal reciprocity, on their psychological distress. The research extends Baumrind’s theory of childhood parenting styles and Youniss’ theory of late adolescents’ perceived reciprocity to a developmental model for middle-age psychological distress. Differential effects were found according to the gender of both the offspring and the parent. There were significant positive findings only if the opposite-sex parent was perceived as authoritative, and significant negative findings if the same-sex parent was perceived as authoritarian. Regression models indicated mediated, integrated relationships (through maternal and spousal reciprocity) for females, but no mediations were found for males. Significantly more variance in emotional distress was explained by spousal reciprocity than by the parent related variables, and for the men than for the women.     

Interpretation(s) of elasticity in operant demand

This brief report provides an account of varying interpretations of elasticity (η ) in the operant demand framework. General references to “demand elasticity” have existed since the Exponential model of operant demand was proposed by Hursh and Silberberg (2008). This term has been used interchangeably with Essential Value (EV), P_MAX, and the rate of change constant α . This report provides an in-depth account of η and the various ways in which this metric has been used to interpret fitted demand functions. A review of relevant mathematic terms, operations associated with differentiating parameters, and worked solutions for η are provided for linear and nonlinear demand functions. The relations between η and EV, P_MAX, and α are described and explained in terms of their mathematical bases and recommendations are provided regarding their individual interpretation. This report concludes with recommendations for providing additional mathematical detail in published works and emphasizing a consistent use of terms when describing aspects of operant demand.