"This compendious language": mathematics in the world of Augustus De Morgan

Mathematics is the most chameleon of subjects, whose meaning is differently defined in different circumstances. This essay considers the mathematics of Augustus De Morgan as an illustration of the ways that the essence of the subject, the very objects that are included within it, has been adjusted in response to cultural factors. Since these cultural factors are the same ones that shape scientific development, the argument is that the history of mathematics and the history of science are always inextricably bound to one another.     

Understanding College-Student Roles: Perspectives of Participants in a High School/Community College Dual-Enrollment Program

Dual-enrollment programs have been proposed as a useful way to ease students’ transition from high school to community college. Several studies have shown that dual enrollment produces positive effects for students, but less is known about the mechanisms these programs use to support student success. Symbolic interactionism suggests that clarity of the role of a college student may help students transition into this role with more ease. With new legislation allowing students to use Pell Grants to attend dual-enrollment programs, and other proposed policies to increase attendance at community college, research on the mechanisms that make dual enrollment successful is well-timed. This study takes a mixed method approach with an online survey (N = 101) and a series of focus groups (N = 15) to explore the experiences of dual-enrollment students from several high schools and one community college. Findings suggest that dual enrollment helped to enhance participants’ clarity of the college-student role, including who attends college, what skills are required, what college can lead to, and their own self-identification as college students. Sources of role expectations for these students included self-reflection and peer, family, teacher, and structural expectations. Students highlighted strengths and weaknesses of the dual-enrollment program in which they were enrolled. These findings have implications for practice, including the potential for dual enrollment to support low-income and first-generation college students in their transition to higher education.     

Preparing Preservice Teachers for Life in Schools: The Role of Doctoral Education

ABSTRACT

Physical education teachers face considerable sociopolitical challenges that can impede quality instruction and complicate recruitment into the profession. Physical education teacher education faculty members may not be prepared to address these challenges during their doctoral education. Accordingly, the purpose of the paper was to utilize the lessons learned from occupational socialization research to propose competencies that can be integrated into doctoral education to help future faculty members integrate sociopolitical learning into physical education teacher education. These include: (a) understanding socialization literature and the implications for teacher education, (b) helping doctoral students understand their own prior socialization experiences, (c) recruiting highly qualified preservice teachers, (d) helping preservice teachers question their subjective theories, (e) developing and coordinating field experiences, and (f) preparing preservice teachers for the sociopolitical realities of schools. These competencies align with the proposed addition of a new standard for initial teacher education that addresses sociopolitical learning.     

The Relationship of Maternal Employment to Early Adolescent Daily Experience With and Without Parents

This study examines how maternal work may shape pre- and young adolescents' daily life experience. According to the procedures of the Experience Sampling Method (ESM), 295 10– 13-year-old children carried electronic pagers for 1 week and completed self-report forms in response to random signals sent every other hour. Their daily experience did not differ by maternal employment status, with the following exceptions: full-time maternal employment was associated with more time doing homework with mothers and less time in general leisure, while part-time employment was associated with more time doing sports with parents. Relative to those with nonemployed mothers, youth with part-time employed mothers reported more positive daily moods and higher self-esteem, while youth reported time with full-time employed mothers to be the friendliest. While children with employed mothers spent no less time with family, parents, friends, in class or alone, they spent more time alone with fathers.     

Contrasting executive function development among primary school children from Hong Kong and Germany

Previous research findings indicate that young children from East Asia outperform their counterparts from Europe and North America on executive function (EF) tasks. However, very few cross-national studies have focused on EF development during middle childhood. The current study assessed the EF performance of 170 children in grades 2 and 4 from Hong Kong (n = 80) and Germany (n = 90) in a cross-sectional design. Children completed tasks assessing the main components of EF, namely inhibition (child-friendly Stroop task), updating (Object Span task), and shifting (Contingency Naming task). Results of multilevel models showed that all three EF measures differentiated well between younger and older children across the full sample. However, contrary to our hypothesis and previous research, we did not find any significant differences in EF performance between children from Hong Kong and Germany at primary school age. Our findings highlight the possibility that issues related to the measurement of EF and features specific to Hong Kong and Germany underlie our results.