Critical Conversations on Social Justice in Undergraduate Mathematics

Abstract

This article explores how critical conversations engage undergraduate mathematics faculty in a community of practice that enhances their knowledge about teaching and learning mathematics for social justice. More broadly, critical conversations are defined as a cooperative learning strategy that can be used to identify, explore, and respond to various interests and issues situated across differing values and beliefs. We present a case study of a critical conversation that took place at a 2016 Mathematics for Social Justice workshop organized by a group of junior faculty. Participant reflections situate perspectives that can help novice and experienced instructors design conversations about teaching mathematics for social justice. Specifically, individual and group reflections highlight the importance of: (i) framing and reflecting on the conversation; (ii) exploring implications and content connections; and (iii) identifying barriers. Implications for faculty members and mathematics departments are provided.     

Benefits of extracurricular participation in dissection in a prosection‐based medical anatomy program

The purpose of this study was to evaluate the extracurricular cadaveric dissection program available to medical students at an institution with a modern (time‐compressed, student‐centered, and prosection‐based) approach to medical anatomy education. Quantitative (Likert‐style questions) and qualitative data (thematic analysis of open‐ended commentary) were collated from a survey of three medical student cohorts who had completed preclerkship. Perceived benefits of dissection included the hands‐on learning style and the development of anatomy expertise, while the main barrier that limited participation was the time‐intensive nature of dissection. Despite perceived benefits, students preferred that dissection remain optional. Analysis of assessments for the MD2016 cohort revealed that dissection participation was associated with enhanced performance on anatomy items in each systems‐based unit examination, with the largest benefits observed on discriminating items that assessed knowledge application. In conclusion, this study revealed that there are academic and perceived benefits of extracurricular participation in dissection. While millennial medical students recognized these benefits, these students also indicated strong preference for having flexibility and choice in their anatomy education, including the choice to participate in cadaveric dissection. Anat Sci Educ 11: 294–302. © 2017 American Association of Anatomists.     

Exzellenz durch Internationalität

Like excellence, internationality has evolved into a key concept for German universities. This article reconstructs the manifold genesis of internationality as a principle for stratificatory claims on the basis of science policy documents. At the levels of student exchange, researcher mobility, and university cooperation, three changes are elaborated upon: the transition from the medieval universitas of the nationes to the national university, the increasing competitive orientation of a concept of internationality based on cooperation and cultural exchange, and the transformation of internationality under the auspices of excellence. At the same time, it will be shown how international understanding, exchange, and competition as guiding principles of an internationalization discourse are enacted differently in varying historical contexts. It will be demonstrated that internationality as a sign of excellence becomes a strategy for universities to position themselves as superior in their respective fields.     

Circle house residential treatment program

In summary, the Circle House Residential Treatment Program for abusive families did meet its goals of protection of the child without separation from the family. The program was also effective in making and executing permanent plans for children in a relatively short period of time, but at huge financial cost.Residential care tor abusive families may be feasible if planned for 12–18 families at a time, thus utilizing staff fully. Also, in the Circle House program the single-parent families were clearly able to utilize the program to deal with their child-care techniques. Because the program was primarily geared to improving child-rearing patterns, some fathers in two-parent families, who viewed themselves as only occasional disciplinarians, never really participated in the program. Some were successful in learning new techniques, others were not.Residential care may also be more feasible if utilized as a diagnostic and prognostic facility with enhanced opportunity for long-term relationships to be formed, rather than as a primarily treatment facility, with the expectation of improvement and “cure.” Treatment of abusive families then becomes long-term supportive care no matter how intense the initial intervention. Even with the multitude of services of Circle House at the beginning phase of diagnosis and treatment of a family, this does not reduce or remove the need for ongoing long-term services. The true results of present intervention will be measured in future generations.     

Effects of disfluency and test expectancy on learning with text

Do students learn better with texts that are Open image in new window (i.e., disfluent)? Previous research yielded discrepant findings concerning this question. To clarify these discrepancies, the present study aimed at identifying a boundary condition that determines when disfluent text is, and is not, beneficial to learning. This boundary condition is knowledge about whether a test will follow (high test expectancy) versus not (low test expectancy). Participants with high test expectancy may already engage in effortful processing, so that making text harder-to-read (disfluent) might not change their processing mode any further. Thus, particularly when no test is expected, disfluency is supposed to exert its beneficial effect. This assumption was tested in a 2?×?2 design (N?=?97) with text legibility (fluent vs. disfluent) and test expectancy (low vs. high) as factors, and learning outcomes (retention, transfer) and learning times as main dependent variables. Results revealed that high test expectancy led to better learning outcomes (for retention and transfer), but disfluent text did not. Unlike expected, there was no interaction between the two factors. Moreover, both high test expectancy and disfluency led to longer learning times, resulting in a lower efficiency when learning with disfluent compared to fluent text. Hence, the present results further question the stability and generalizability of a positive disfluency effect on learning, because only high test expectancy – but not disfluency - stimulated better learning through more effortful processing the way it was supposed to.     

Motivational and emotional components affecting male’s and female’s self-regulated learning

The relationship between self-referenced feelings and cognitions and self-regulated learning has become an important area of research. But to what extent can differences in self-regulation be explained by differences in motivation and emotion? And how facilitating or debilitating is the effect of motivation and emotion on the use of regulatory study activities? In this study, 292 freshmen were assessed on self-referenced cognitions and feelings. Three months later, regulatory study activities were measured by self-report. The canonical correlation between self-referenced cognitions and feelings and regulatory activities was very substantial (.52), and even invariant of ability differences. Task value and the tendency to achieve success were positively related to self-regulation for both males and females. An impressive gender difference was noticed, however, for the tendency to avoid failure. For female students, a high level of fear of failure acted as a detrimental agent upon regulatory activities. It is concluded that attention should be paid to facilitating and debilitating mechanisms underlying the use of metacognitive activities while being engaged in a cognitive endeavour.     

Learning mathematics from worked-out examples: Analyzing and fostering self-explanations

Recent research has shown that learning from worked-out examples is of major importance for initial skill acquisition in well-structured domains such as mathematics. However, only those learners who actively process the presented examples profit noticeably from this learning mode. Specifically, the learning outcomes depend on how well the learners explain the solution steps presented in the examples to themselves (‘self-explanation effect”). In a series of studies on learning mathematics from examples, learners’ spontaneous self-explanations and instructional means used to encourage self-explanations were investigated. In this research, the following main findings were obtained. Most learners were rather passive with respect to their spontaneous self-explanations. Among the active and successful learners, two subgroups employing different self-explanation styles could be identified. With regard to the instructional means used to induce effective example processing, it turned out that to employ “learning by teaching” in order to stimulate explanation activities was of very limited use. Attempts to directly train for or elicit certain types of self-explanations were more successful. However, even in the latter case, self-explanations had inherent deficits (e.g., proneness to errors). Thus, we sought to design learning arrangements that try to integrate self-explanations with well-timed and well-adapted instructional explanations (e.g., from tutors) in order to enhance students’ problem-solving skills.     

Accounting for diverse missions: can classification systems contribute to meaningful assessments of institutional performance?

Tertiary Education and Management - Although they have been developed for a variety of purposes, classification systems for tertiary or postsecondary education institutions offer a foundation for...     

Ontology management and evolution for business intelligence

The amount of heterogeneous data that is available to organizations nowadays has made information management a seriously complicated task, yet crucial since this data can be a valuable asset for business intelligence. Ontologies can act as a semantically rich knowledge base in systems that specialize in information management. The present work investigates the potential of ontologies in supporting the information lifecycle within a corporate environment for business intelligence. The paper demonstrates the use of Heraclitus II, a framework that employs ontology management and evolution in the context of information management systems. The capabilities of the framework in facilitating information management and business intelligence are evaluated through a real-life case study from the life sciences industry.     

What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems?

In this paper, we give the necessary and sufficient conditions for a function f to be a lower Bohl function of a diagonal discrete linear time-varying systems.