Composition-Effects of Context-based Learning Opportunities on Students’ Understanding of Energy

Context-based learning has become a widespread approach in science education. While positive motivational effects of such approaches have been well established empirically, clear results regarding cognitive aspects of students’ learning are still missing. In this article, we argue that this circumstance might be mainly rooted in the definition of context itself. Based on this argument, we shift from the issue of if contexts are cognitively beneficial to focus on the question of which composition of contexts is, at least by tendency, more effective than another. Based on theories of conceptual change, we therefore conducted a small-scale intervention study comparing two groups of students learning in different sets of contexts focusing on the same scientific concept—the cross-cutting concept of energy. Results suggest that learning in a more heterogeneous set of contexts eases transfer to new contexts in comparison to learning in a more homogeneous set of contexts. However, a more abstract understanding of the energy concept does not seem to be fostered by either of these approaches. Theoretical as well as practical implications of these finding are discussed.     

Classroom learning and achievement: how the complexity of classroom interaction impacts students’ learning

Background: Complexity models have provided a suitable framework in various domains to assess students’ educational achievement. Complexity is often used as the analytical focus when regarding learning outcomes, i.e. when analyzing written tests or problem-centered interviews. Numerous studies reveal negative correlations between the complexity of a task and the probability of a student solving it.

Purpose: Thus far, few detailed investigations explore the importance of complexity in actual classroom lessons. Moreover, the few efforts made so far revealed inconsistencies. Hence, the present study sheds light on the influence the complexity of students’ and teachers’ class contributions have on students’ learning outcomes.

Sample: Videos of 10 German 8th grade physics courses covering three consecutive lessons on two topics each (electricity, mechanics) have been analyzed. The sample includes 10 teachers and 290 students.

Design and methods: Students’ and teachers’ verbal contributions were coded manual-based according to the level of complexity. Additionally, pre-post testing of knowledge in electricity and mechanics was applied to assess the students’ learning gain. ANOVA analysis was used to characterize the influence of the complexity on the learning gain.

Results: Results indicate that the mean level of complexity in classroom contributions explains a large portion of variance in post-test results on class level. Despite this overarching trend, taking classroom activities into account as well reveals even more fine-grained patterns, leading to more specific relations between the complexity in the classroom and students’ achievement.

Conclusions: In conclusion, we argue for more reflected teaching approaches intended to gradually increase class complexity to foster students’ level of competency.     

Guidance in inquiry-based instruction – an attempt to disentangle a manifold construct

Inquiry-based instruction is an important teaching strategy in science education that can be implemented to achieve different learning goals (e.g. the learning of science content or of inquiry skills and strategies). Inquiry-based instruction is often combined with guidance attempting to assist students to effectively engage in inquiry activities and, through this engagement, reach the intended goals. In recent research, the type and amount of guidance needed to foster student’s learninghas received considerable attention. One challenge in interpreting the results of this line of research is the manifold meanings of the term ‘guidance’ and its implementation in inquiry-based instruction. Moreover, the effectiveness of a particular type and amount of guidance may also depend on the learning goal that is to be achieved. In this paper, we draw on existing research and theoretical considerations in attempting to disentangle three major dimensions in which the implementation of guidance may vary: (a) the degree of autonomy, (b) the degree of conceptual information, and (c) the cognitive domain of guidance. We discuss how these dimensions can be used to capture and systemise fidings of existing studies as well as to infer desiderata for further research on the role of guidance in inquiry-based instruction.     

Inquiry-Based Learning and the Art of Mathematical Discourse

Abstract

Our particular flavor of inquiry-based learning (IBL) uses mathematical discourse, conversations, and discussions to empower students to deepen their mathematical thinking, building on strengths of students in the humanities. We present an organized catalog of powerful questions, discussion prompts, and talk moves that can help faculty facilitate a classroom focused on mathematical discourse. The paper brings this discourse alive through classroom vignettes and explores various teacher moves and their impacts. The mathematical theme of the classroom investigations, Maypole dance patterns, stems from the learning guide “Discovering the Art of Mathematics: Dance.” Both authors are part of the NSF-funded project “Discovering the Art of Mathematics,” which provides IBL materials for mathematics for liberal arts courses, see www.artofmathematics.org.     

Correlates of adjustment to aging among the young-old and the oldest-old: A comparative analysis

This study aims to compare the correlates of adjustment to aging (AtA) reported by young-old and oldest-old adults and to build two structural models to explore the correlates of AtA for these two age groups. A cross-national study encompassing a community-dwelling sample of 823 older adults aged 65 years and older was undertaken. Several measures were employed to assess AtA, subjective well-being, and sense of coherence. A questionnaire to determine socio-demographic (sex, age, professional and marital status, education, household, adult children, family’s annual income, living setting, and self-reported spirituality), lifestyle and health-related characteristics (perceived health, recent disease, medication, and leisure) was also used. Structural equation modeling was employed to investigate a structural model of AtA, comprising socio-demographic, lifestyle, and health-related variables, as well as SWB and SOC for both groups. Leisure was the most significant correlate of AtA for the young-old (β = .422; p < .001) while self-reported spirituality was the most significant correlate of AtA for the oldest-old (β = .711; p < .001). Significant correlates explain 67.8% and 73.1% of the variability of AtA, respectively. The results presented in this study highlighted different perspectives of AtA, outlined in two structural models, for the groups, and the need of addressing the differences between these, when implementing health care interventions, in particular the relevance of leisure and self-reported spirituality.     

How open source software works: “free” user-to-user assistance

Research into free and open source software development projects has so far largely focused on how the major tasks of software development are organized and motivated. But a complete project requires the execution of “mundane but necessary” tasks as well. In this paper, we explore how the mundane but necessary task of field support is organized in the case of Apache web server software, and why some project participants are motivated to provide this service gratis to others. We find that the Apache field support system functions effectively. We also find that, when we partition the help system into its component tasks, 98% of the effort expended by information providers in fact returns direct learning benefits to those providers. This finding considerably reduces the puzzle of why information providers are willing to perform this task “for free.” Implications are discussed.     

Profiting from voluntary information spillovers: how users benefit by freely revealing their innovations

Empirical studies of innovation have found that end users frequently develop important product and process innovations. Defying conventional wisdom on the negative effects of uncompensated spillovers, innovative users also often openly reveal their innovations to competing users and to manufacturers. Rival users are thus in a position to reproduce the innovation in-house and benefit from using it, and manufacturers are in a position to refine the innovation and sell it to all users, including competitors of the user revealing its innovation. In this paper, we explore the incentives that users might have to freely reveal their proprietary innovations. We then develop a game-theoretic model to explore the effect of these incentives on users’ decisions to reveal or hide their proprietary information. We find that, under realistic parameter constellations, free revealing pays. We conclude by discussing some implications of our findings.     

Problems in the planning of higher education

With the growing demand for places in German universities, the present system of allowing entrance to everyone who holds the Abitur has become unsatisfactory. This paper looks at ways of controlling the size of the higher education system and allocating resources from the viewpoint of economic theory.Three ideal type educational planning models are sketched, one of which - a market model - is argued to have the greatest advantages. It would involve a state credit scheme for students with repayments via a graduate tax; student fees would provide all or most of the universities' funds. It would remove the inequity of the present system which involves a transfer of income from today's (relatively poorer) earners to tomorrow's, and from those with lower earning potential to those with higher. Since students would be in a position to choose the most satisfying and/or cheapest courses of study and would find it easier to change courses if they wished, it would reward cost-saving and student-satisfying innovation. By providing more finely graded levels of qualification within subject areas, it would reduce the extent to which jobs are ordered hierarchically in an irrational and inefficient way; and the universities would respond more flexibly to changes in labour market demands.This is a translation, with minor amendments, of a paper published in Fundamental Problems of Infrastructure Planning for Growing Economies, Proceedings of the Conference of the Society for Social Policy, Innsbruck, 1970, Berlin: Verlag von Duncker und Humblot, 1971. It is reproduced here by arrangement with the publisher. The article was translated into English by David Webster.