Comparing Data Sets: Implicit Summaries of the Statistical Properties of Number Sets

Comparing datasets, that is, sets of numbers in context, is a critical skill in higher order cognition. Although much is known about how people compare single numbers, little is known about how number sets are represented and compared. We investigated how subjects compared datasets that varied in their statistical properties, including ratio of means, coefficient of variation, and number of observations, by measuring eye fixations, accuracy, and confidence when assessing differences between number sets. Results indicated that participants implicitly create and compare approximate summary values that include information about mean and variance, with no evidence of explicit calculation. Accuracy and confidence increased, while the number of fixations decreased as sets became more distinct (i.e., as mean ratios increase and variance decreases), demonstrating that the statistical properties of datasets were highly related to comparisons. The discussion includes a model proposing how reasoners summarize and compare datasets within the architecture for approximate number representation.     

A first grade student’s exploration of variable and variable notation / Una alumna de primer grado explora las variables y su notación

Abstract

This paper presents a case study of a first grade student to illustrate the diversity of her understandings related to variables and variable notation. While prior research has documented secondary school students’ difficulties with variables and variable notation, we identify many productive understandings in this much younger student, leading us to question the prevailing argument that students might have difficulties with variables due mostly to their own limitations. We draw our data from a teaching experiment that explored functional relationships. Individual interviews were carried out with a subset of the students in the experiment prior to, as well as mid-way through and at the end of the experiment. This paper focuses on a set of three interviews with one of the first grade students. We illustrate the shifts that occurred in the student’s understandings about variables and variable notation across as well as within each of the three interviews.     

Counseling Multiple‐Heritage Couples

Multiple‐heritage couples are one of the fastest growing client populations in the United States. These partnerships are defined by intersecting ethnic, racial, linguistic, and religious differences. They are challenged by societal perceptions, stereotypes, and other pressures associated with being in a multiple‐heritage pairing. This article discusses strengths in the multiple‐heritage union brought about by the understanding of diverse viewpoints. Finally, the article identifies specific strategies, such as couples relationship education, to resolve and confront inherent differences. Las parejas multiculturales son uno de los grupos demográficos de clientes de mayor crecimiento en los Estados Unidos. Este tipo de parejas se define por la intersección de diferencias étnicas, raciales, lingüísticas y religiosas. Sus miembros enfrentan desafíos a causa de las percepciones sociales, los esterotipos y otras presiones asociadas con tener una pareja multicultural. Este artículo discute los puntos fuertes en una unión multicultural, facilitados por la comprensión de puntos de vista diversos. Finalmente, el artículo identifica estrategias específicas, como por ejemplo la educación en relaciones de pareja, para resolver y afrontar las diferencias intrínsecas.     

Perceptions of Nepotism Beneficiaries: The Hidden Price of Using a Family Connection to Obtain a Job

Purpose

This study tested competing predictions about the impact of nepotistic hiring on perceptions of nepotism beneficiaries, focusing specifically on the performance attributions made about nepotism hires. Of particular interest is how the qualifications of the family member compared to other applicants impacts perceptions of the nepotism hire.

Methodology

Two experimental studies, using scenarios that simulated the hiring process, were conducted. Participants reviewed materials describing the hiring process for a manager and then completed a questionnaire assessing their perceptions of the person hired.

Findings

Results showed that successful performance of nepotism beneficiaries was attributed more to political skills and relationships with upper management and less to ability and effort than was the case for non-beneficiaries and that they were perceived as less competent and as having fewer characteristics of successful managers. These negative perceptions occurred regardless of the family member’s qualifications.

Implications

This study contributes to our understanding of nepotistic hiring practices. More negative performance attributions and perceptions of competence for nepotism beneficiaries may hinder their effectiveness on the job. Knowledge gained from this study may help businesses who want to hire family members of current employees to manage this process more effectively.

Originality/Value

This is one of the first studies to examine the consequences of nepotistic hiring for nepotism beneficiaries and the first study to examine how nepotistic hiring effects the performance attributions made about nepotism beneficiaries. It is also the only study to empirically examine how the qualifications of the nepotism beneficiary influence others’ reactions to them.

     

Developmental effects of economic and educational change: Cognitive representation in three generations across 43 years in a Maya community

We studied the implications of social change for cognitive development in a Maya community in Chiapas, Mexico, over 43 years. The same procedures were used to collect data in 1969–1970, 1991, and 2012—once in each generation. The goal was to understand the implications of weaving, schooling and participation in a commercial economy for the development of visual pattern representation. In 2012, our participants consisted of 133 boys and girls descended from participants in the prior two generations. Procedures consisted of placing colored sticks in a wooden frame to make striped patterns, some familiar (Zinacantec woven patterns) and some novel (created by the investigators). Following Greenfield (2009), we hypothesised that the development of commerce and the expansion of formal schooling would influence children's representations. Her theory postulates that these factors move human development towards cognitive abstraction and skill in dealing with novelty. Furthermore, the theory posits that whatever sociodemographic variable is changing most rapidly functions as the primary motor for developmental change. From 1969 to 1991, the rapid development of a commercial economy drove visual representation in the hypothesised directions. From 1991 to 2012, the rapid expansion of schooling drove visual representation in the hypothesised directions.