The matching problem

Tables of the exact distributions of number of matches are given for small decks having the same number of cards in each suit. Several approximate distributions are considered for use with larger decks, and some indication of the goodness of the approximations is given.The calculations for this paper were done while the writer was working on a project sponsored by funds from the Ford Foundation. The writer wishes to express his gratitude to Dr. Frederick Mosteller for his constant help and encouragement during the writing of this paper.     

Mechanisms Mediating Children’s Perceived Maternal Nonsupportive Reactions to Sadness and Children’s Social and Emotional Functioning

This study examined whether children’s perceptions of maternal nonsupportive reactions to sadness (active discouragement and non-response) influenced children’s loneliness and classroom popularity indirectly through their effects on children’s sadness inhibition and self-perception of social competence. Participants were children in grades 3–6 from a university affiliated public elementary school (N = 175; 53 % females; 37 % racial/ethnic minority). Children reported on the frequency of their mother’s active discouragement and non-response of their sadness, as well their own sadness inhibition, self-perceived social competence, and loneliness. Classroom peers reported on children’s popularity. Results indicated that perceived maternal non-response to sadness was indirectly related to classroom popularity and loneliness through the effect on children’s self-perception of social competence. In contrast, perceived maternal active discouragement of sadness was indirectly related to children’s classroom popularity through the effect on children’s sadness inhibition. These results support the consideration of active discouragement and non-response as distinct constructs and indicate the likelihood of different pathways of influence in predicting emotional and social outcomes such as loneliness and classroom popularity.     

Special perspectives: adversarial forum. Fox on corporate personhood,limited liability,and community control: a critique

Dennis Fox argued in a Special Perspective contribution that psychologists ought to mount a campaign to demonstrate the adverse impact of the activities of large corporations on social and individual well-being (Fox, 1996). This Special Perspective takes issue with Fox's position in terms of the inadequacy of any supporting data and the failure to consider adequately the wideranging implications of recommendations such as the elimination of shareholder limited liability. © 1998 John Wiley & Sons, Ltd.     

Coalescent argumentation

Coalescent argumentation is a normative ideal that involves the joining together of two disparate claims through recognition and exploration of opposing positions. By uncovering the crucial connection between a claim and the attitudes, beliefs, feelings, values and needs to which it is connected dispute partners are able to identify points of agreement and disagreement. These points can then be utilized to effect coalescence, a joining or merging of divergent positions, by forming the basis for a mutual investigation of non-conflictual options that might otherwise have remained unconsidered. The essay proceeds by defining and discussing argument, position and understanding. These notions are then brought together to outline the concept of coalescent reasoning.     

Attributional patterns and perceptions of math and science among fifth-grade through seventh-grade girls and boys

A culturally and economically diverse group of fifth to seventh graders (n = 361) from Boston-area public schools rated their perceptions for liking and difficulty of core academic subjects, including math and science, and their attributions for explaining performance on a math test. Inconsistent with earlier work, girls and boys reported similar perceptions of core subjects, with all students reporting a relatively high liking of math and science. Girls' and boys' attributional patterns for success in math were somewhat consistent with earlier findings, but not their attributions for lack of success. Observations of the math and science classrooms in the study indicated that most teachers, aware of gender equity issues, attempted to teach their students in a gender-fair manner. This factor may account for differences between current findings and those from past studies.Special thanks to Dr. Adele Wolfson for her advice and support. Thanks also to Dr. Lee Cuba and Lillian Sun for their assistance with statistical analyses; to Dr. Beth Hennessey for help with the measure; to Drs. Ken Hawes, Barbara Beatty, and Susan Reverby for connections into schools; to Dr. Martha Pott for suggestions on the original document; to the teachers and principals who granted permission to conduct the research; and to the student participants. Appreciation is also extended to an anonymous reviewer for insightful comments.     

Beneficial factors in family discussion groups of a psychiatric day clinic: perceptions by the therapeutic team and the families of the therapeutic process

This paper reports a pilot investigation of the perception of helpful events by the therapeutic team and the families in two family discussion groups (FDGs) of a psychiatric day clinic. All participants of the FDG, including therapists and observers, filled in questionnaires measuring events helpful for the individual, for the family and for the group after each FDG session. The results showed that the therapeutic team and the families diverged in their overall perception of which factors were important in family discussion group therapy. The therapeutic team saw the relational climate and the structural aspects of the group (including group involvement and support from the group), and specific therapeutic interventions as more helpful than the families. The process aspects in the group members (including the experiencing of communality and gaining insight) were, on the other hand, more frequently mentioned by the families than by the therapeutic team. The clinical implications of these findings and suggestions for future research are discussed.     

“A definite feel‐it moment”: Embodiment,externalisation and emotion during chair‐work in compassion‐focused therapy

Chair‐work is an experiential method used within compassion‐focused therapy (CFT) to apply compassion to various aspects of the self. This is the first study of CFT chair‐work and is focused on clients' lived experiences of a chair‐work intervention for self‐criticism. Twelve participants with depression were interviewed following the chair‐work intervention and the resulting data were examined using interpretative phenomenological analysis. Three superordinate themes were identified: “embodiment and enactment,” “externalising the self in physical form” and “emotional intensity.” The findings suggest the importance of accessing and expressing various emotions connected with self‐criticism, whilst highlighting the potential for client distress and avoidance during the intervention. The role of embodying, enacting and physically situating aspects of the self in different chairs is also suggested to be an important mechanism of change in CFT chair‐work. The findings are discussed in terms of clinical implications, emphasising how core CFT concepts and practices are facilitated by the chair‐work process.     

Adaptation of the Aesop’s Fable paradigm for use with raccoons (<Emphasis Type="Italic">Procyon lotor</Emphasis>): considerations for future application in non-avian and non-primate species

To gain a better understanding of the evolution of animal cognition, it is necessary to test and compare the cognitive abilities of a broad array of taxa. Meaningful inter-species comparisons are best achieved by employing universal paradigms that standardize testing among species. Many cognitive paradigms, however, have been tested in only a few taxa, mostly birds and primates. One such example, known as the Aesop’s Fable paradigm, is designed to assess causal understanding in animals using water displacement. To evaluate the universal effectiveness of the Aesop’s Fable paradigm, we applied this paradigm to a previously untested taxon, the raccoon (Procyon lotor). We first trained captive raccoons to drop stones into a tube of water to retrieve a floating food reward. Next, we presented successful raccoons with objects that differed in the amount of water they displaced to determine whether raccoons could select the most functional option. Raccoons performed differently than corvids and human children did in previous studies of Aesop’s Fable, and we found raccoons to be innovative in many aspects of this task. We suggest that raccoon performance in this paradigm reflected differences in tangential factors, such as behavior, morphology, and testing procedures, rather than cognitive deficiencies. We also present insight into previously undocumented challenges that should better inform future Aesop’s Fable studies incorporating more diverse taxa.     

LAWS IN ECOLOGY: DIVERSE MODES OF EXPLANATION FOR A HOLISTIC SCIENCE

Ecology's reputation as a holistic science is partly due to widespread misconceptions of its nature as well as shortcomings in its methodology. This article argues that the pursuit of empirical laws of ecology can foster the emergence of a more unified and predictive science based on complementary modes of explanation. Numerical analyses of population dynamics have a distinguished pedigree, spatial analyses generate predictive laws of macroecology, and physical analyses are typically pursued by the ecosystem paradigm. The most characteristically ecological laws, however, are found in biotic analyses in the functional trait paradigm. Holistic credentials for ecology may thus be restored on two bases: its accommodating complementary modes of analysis and explanation, and its having some laws within the least reductionistic mode consistent with its subject matter. These claims, grounded in the aspectual theory of Herman Dooyeweerd, lead to some suggestions for enhancing the versatility and usefulness of ecology—and other sciences—by balancing different research paradigms under a holistic vision.