“Doing the Math”: Maternal Beliefs About Early Mathematics Versus Language Learning

Research Findings: Little is known about how parents approach preschoolers' mathematics learning and how this aligns with early mathematics education research and policy. This study examined these questions by contrasting parents' approaches to early mathematics and language and by exploring key themes in parents' talk about mathematics learning and education. Consistent with current research and policy, parents reported helping preschoolers learn mathematics and attempting to connect this learning to children's interests and everyday experiences. However, parents admitted to lacking goals for and knowledge about early mathematics. In addition, compared to language, parents reported that mathematics was taught less often at home, should be emphasized less in preschools, was less interesting to preschoolers, required more direct instruction, and was less of a personal interest and strength. Practice or Policy: Parent interventions could capitalize on parents' beliefs and practices by providing parents with concrete examples of what mathematics preschoolers learn through daily activities, how to maximize children's mathematics interests, and what the similarities are between early mathematics and language. These efforts will also need to help parents overcome their mathematics anxieties and show parents why early mathematics education is important. Similar strategies could be used to help early childhood teachers improve their mathematics practice.     

A modern everyman

In modern tragedy, there is often a similarity between the form of the play and the typical form of the English morality drama. This similarity is typified in Arthur Miller's DEATH OF A SALESMAN which bears a distinct resemblance to the major English Morality drama, EVERYMAN.     

IDEALS AND METHODS OF RELIGIOUS EDUCATION FOR THE COMING WORLD ORDER∗

This article brings to bear on our understanding of learning many insights from the field of psychology

     

Confirmatory factor analysis models of factorial invariance: A multifaceted approach

Typical confirmatory factor analysis studies of factorial invariance test parameter (factor loadings, factor variances/covariances, and uniquenesses) invariance across only two groups (e.g., males and females) or, perhaps, across more than two groups reflecting different levels of a single design facet (e.g., age). The present investigation extends this approach by considering invariance across groups from a two‐facet design. Data consist of multiple dimensions of self‐concept collected from eight groups of students (total N = 4,000) representing a 2 (Gender) × 4 (Age) design. The gender‐stereotypic model posits a particular pattern of gender differences in structure that varies with age. Adopting analysis‐of‐variance terminology, the model posits that structural differences will vary as a function of gender but that this gender effect interacts with age. In testing this model, I consider the lack of invariance in different sets of parameters attributable to gender, age, and their interaction.     

A Further Study of Personalized Instruction for Students in Large University Classes

The 161 students enrolling in a beginning psychology course were taught using a variant of Keller’s personalized instructional procedures. Course material was divided into twelve units and complete mastery of the material in each unit was demonstrated with a short written examination and a brief interview conducted by a more advanced student. Students could progress through the course material at their own rate. Data are reported on the number of students who withdrew from the course, when they withdrew, and characteristics of their performance prior to withdrawal. For students who completed the course, data on rate of completion of course requirements and level of mastery of course material are presented. Furthermore, student evaluation of various facets of the course are summarized. Of special interest is the finding that student test evaluators were rated as a very favorable feature of the course, and that there was no apparent distinction made between graduate-student and undergraduate evaluators. This suggests that the instructional manpower pool might be extended through the careful use of undergraduates in the college classroom.