The Frequency with which a Group of Unselected College Students Experience Colored Dreaming and Colored Hearing

The principal aim of this report has been to clear the air with regard to number development theory and research. We began with a brief overview of the status of the number concept in pure mathematics and psychology. It was argued that although there are clear methological differences between pure mathematical and psychological approaches to the study of number, the two approaches are substantively complementary. Both are attempts to found the number concept on underlying psychological processes.

Three influential mathematical theories of number and three metamathematical criteria by which such theories are judged (consistency, completeness, categoricalness) then were summarized. The first theory, originally proposed by Peano (30) and von Neumann (49), postulates that the number concept may be reduced to a wholistic property of the natural numbers: viz., their inherent ordering. It was found that Peano-von Neumann's ordinal theory allows one to construct natural numbers without contradiction (consistency) and to construct all the natural numbers (completeness). However, the ordinal theory is not only a theory of number; it is a theory of all ordered progressions. The second theory, originally proposed by Russell (39, 40, 41, 42, 51, 52) and Frege (15), postulates that the number concept may be reduced to an atomistic property of the natural numbers: viz., the fact that each natural number is a class which includes all classes containing a particular number of elements. It was found that Russell-Frege's class theory does not allow one either to construct natural numbers without contradiction (inconsistency) or to construct all the natural numbers (incompleteness). The third theory, originally proposed by Piaget (31, 32), is a combination of the Peano-von Neumann and Russell-Frege theories; i.e., it founds number simultaneously on the wholistic property of order and the atomistic property of class. Piaget's theory was found to be contradictory (inconsistent) and to contain a superfluous undefined concept. A comparative analysis of the three theories revealed that although none of them is universally accepted as an ultimate theory of number, Peano-von Neumann's ordinal theory is by far the most satisfactory of the three by metamathematical criteria.

Each of the mathematical theories of number was translated into a cognitive developmental theory by substituting “developmental priority” of “mathematical priority.” The first theory postulated that children's number concepts derive from a prior understanding of the quantification of ordinal relations (ordination). The second theory postulated that children's number concepts derive from a prior understanding of the quantification of classes (cardination). The third theory postulated that children's number concepts derive from a prior understanding of both ordination and cardination. Published research which pertains to the postulates of each of these theories was reviewed (2, 8, 9, 10, 23, 33, 45, 46). Because of incomplete data analyses and poor operational definitions, it was concluded that the existing evidence does not clearly support any of the three theories.

Behavioral methods of assessing ordination, cardination, and natural number competence in children's thinking then were constructed. Care was taken to insure that each behavioral test was the most obvious counterpart of the mathematical definition of the notion that the test was designed to measure. It was argued in this regard that scrupulously precise operational definitions—as opposed to the loose operational definitions that characterize Piaget's (33) original studies of number development—are essential if we hope to decide which of the competing theories of number development is the most tenable. Two developmental studies were reported. In the first study, there were three principal findings: (a) Ordination was found to emerge in three stages (no ordering, spatial ordering, ordination). (b) Cardination was found to emerge in three stages (no correspondence, one-to-many and many-to-one correspondence, one-to-one correspondence). (c) Ordination was found to emerge long before cardination. In the second study, there were three principal findings: (a) The major findings of the first study were replicated. (b) Ordination was found to emerge prior to natural number competence. (c) Cardination was not found to emerge prior to natural number competence. It was concluded that the theory of number development which corresponds to the most satisfactory of the three mathematical theories—namely, the ordinal theory—is consistently supported by the developmental findings.

Possible explanations of the cognitive-developmental sequences reported in the two studies were considered. It was suggested that Flavell's (14) notion of item structure probably accounts for all the sequences. Flavell's notion of item structure specifies that a developmental sequence of the form X₁ → X₂ obtains between two cognitive items when the use of X₂ logically presupposes the use of X₁. It was argued in this regard that the sequences reported in the two studies each reflect logical relationships mentioned in the earlier review of mathematical number theories. Finally, the epistemological question of why such a close relationship exists between logical priorities and cognitive-developmental sequences was considered. It was concluded that there must be at least some structural isomorphism between the domains of cognition and pure mathematics.     

Temporal dynamics of activation of thematic and functional knowledge during conceptual processing of manipulable artifacts

The current research aimed at specifying the activation time course of different types of semantic information during object conceptual processing and the effect of context on this time course. We distinguished between thematic and functional knowledge and the specificity of functional similarity. Two experiments were conducted with healthy older adults using eye tracking in a word-to-picture matching task. The time course of gaze fixations was used to assess activation of distractor objects during the identification of manipulable artifact targets (e.g., broom). Distractors were (a) thematically related (e.g., dustpan), (b) related by a specific function (e.g., vacuum cleaner), or (c) related by a general function (e.g., sponge). Growth curve analyses were used to assess competition effects when target words were presented in isolation (Experiment 1) and embedded in contextual sentences of different generality levels (Experiment 2). In the absence of context, there was earlier and shorter lasting activation of thematically related as compared to functionally related objects. The time course difference was more pronounced for general functions than specific functions. When contexts were provided, functional similarities that were congruent with context generality level increased in salience with earlier activation of those objects. Context had little impact on thematic activation time course. These data demonstrate that processing a single manipulable artifact concept implicitly activates thematic and functional knowledge with different time courses and that context speeds activation of context-congruent functional similarity. (PsycINFO Database Record (c) 2012 APA, all rights reserved).     

Music fan personality stereotyping in a sample of South African young adults

This study aimed to elicit stereotypes about personality characteristics of young adults residing in South Africa, based solely on music genres. Participants were 941 undergraduate students at a South African university. They responded to a number of surveys about music genre preferences and personality traits. Data were analysed for trends and patterns in personality attributions based on music genre preferences. The results indicated that participants hold distinct stereotypes about the personality traits, so that those with who preferred Classical, Blues and Jazz music were seen to display higher openness to experience than comparison groups with other music genre preferences. Those with Rap, Reggae and Folk music genre preferences were stereotyped as artistic and unconventional. Young South African adults appear to use musical preference to define personality.     

Prenatal Diagnosis for Inherited Deafness—What is the Potential Demand?

Genetic testing for inherited deafness is now available within some genetics centres. This study used a structured questionnaire to assess the potential uptake of prenatal diagnosis (PND) for inherited deafness, and document the opinions of deaf and hearing individuals toward PND and termination of pregnancy (TOP) for hearing status. Participants were self-selected from the whole of the UK, of whom 644 were deaf, 143 were hard of hearing or deafened, and 527 were hearing individuals who had either a deaf parent or child. The results showed that 21% of deaf, 39% of hard of hearing and deafened, and 49% of hearing participants said they would consider PND for deafness. Six percent of deaf, 11% of hard of hearing and deafened, and 16% of hearing participants said they would consider a TOP if the fetus was found to be deaf. Two percent of deaf participants said they would prefer to have deaf children and would consider a TOP if the fetus was found to be hearing.     

Editorial on Supervision

This Editorial provides background information to inform the report from the United Kingdom (UK) and Eire Association of Genetic Nurses and Counsellors (AGNC) Supervision Working Group on Genetic Counselling Supervision. We begin by introducing the context of practice as a genetic counselor in the UK and then follow with an overview of events that have happened in our profession that led to the need and creation of the report. Genetic counseling supervision has become instrumental to our practice, training and registration as genetic counselors in the UK.