Abstraction and consolidation of the limit procept by means of instrumented schemes: the complementary role of three different frameworks

I investigate the contributions of three theoretical frameworks to a research process and the complementary role played by each. First, I describe the essence of each theory and then follow the analysis of their specific influence on the research process. The research process is on the conceptualization of the notion of limit by means of the discrete continuous interplay. I investigate the influence of the different perspectives on the research process and realize that the different theoretical approaches intertwine. Moreover, I realize that the research study demanded the contribution of more than one theoretical approach to the research process and that the differences between the frameworks could serve as a basis for complementarities.     

Exemplifying definitions: a case of a square

In this study we utilize the notion of learner-generated examples, suggesting that examples generated by students mirror their understanding of particular mathematical concepts. In particular, we explore examples generated by a group of prospective secondary school teachers for a definition of a square. Our framework for analysis includes the categories of accessibility and correctness, richness, and generality. Results shed light on participants’ understanding of what a mathematical definition should entail and, moreover, contrast their pedagogical preferences with mathematical considerations.     

The Unique American Vision of Childhood

The present article scrutinizes “the unique American vision of childhood” (UAVC) as a phenomenon undermining high academic expectations and good work ethics, and in turn, contributing to the generally low academic achievement of U.S. students compared to their counterparts in other advanced countries. It starts with a definition of UAVC, followed by a discussion of how influential it has been. The article goes on to state three reasons why UAVC is troublesome and misleading, especially in an era of global competition. Excuses devised by the proponents for UAVC’s adverse effects are also revealed. The article ends with recommendations for future research and a conclusion elaborating on the consequences of UAVC and the likelihood that other countries might adopt a similar mentality.     

Creating a web of support: an important leadership strategy for advancing campus diversity

Research demonstrates that leadership, particularly among presidents, is important for moving a diversity agenda forward and make appreciable progress on it. The research questions pursued here are: What is the role of the college president in advancing a diversity agenda? What strategies do presidents identify as important to facilitating a diversity agenda? There were three main findings: (1) strategies are deployed in a non-linear way best represented through a web metaphor, (2) six sets of actors that serve as key nodes on the web and specific strategies were crucial to enhancing and deepening the web-developing an internal network, hiring, mentoring, partnering with faculty on the curriculum, supporting student affairs staff, working directly with and learning from students, and establishing external networks; and, (3) strategies within the human resource frame are noted by presidents as particularly important to moving a diversity agenda forward.     

Informing Culturally Competent Practice Through Cross-Racial Friendships

International and interdisciplinary literature on cross-racial friendships is critically reviewed as a source of relevant and provocative data for counselling professionals dedicated to multiculturalism. The authors discuss the dynamics of cross-racial friendships and implications for counsellors. Using practical examples grounded by interdisciplinary literature, the authors expand discussions about racism within the counselling profession.     

Archetypal narratives in career counselling: a chaos theory application

This paper seeks to extend previous work on narrative career counselling by considering the role of plot within clients’ narratives. Seven archetypal narratives derived from the work of Booker (2004) are introduced that represent systems of meaning to provide insight into how individuals interpret their experience. These plots can be understood within the Chaos Theory of Careers (CTC) in terms of the attractors contained within the client narratives. Identifying the plots provides new insights into the nature of career development difficulties and how client stories may be reformulated.