Learning mathematical thinking and reasoning is a main goal in mathematical education. Instructional tasks have an important role in fostering this learning. We introduce a learning sequence to approach the topic of integrals in secondary education to support students mathematical reasoning while participating in collaborative dialogue about the integral-as-accumulation-function. This is based on the notion of accumulation in general and the notion of accumulative distance function in particular. Through a case-study methodology we investigate how this approach elicits 11th grade students’ mathematical thinking and reasoning. The results show that the integral-as-accumulation-function has potential, since the notions of accumulation and accumulative function can provide a strong intuition for mathematical reasoning and engage students in mathematical dialogue. Implications of these results for task design and further research are discussed.
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Horizontal collaborative purchasing (HCP) has often been cited as a way for hospitals to address the challenges of the rising healthcare costs. However, hospitals do not seem to utilize horizontal collaborative purchasing on any large scale, and recent initiatives have had mixed results. Focusing on Dutch hospitals, in this paper we present major impediments for collaborative purchasing, resulting in a first component of our proposed electronic horizontal collaborative purchasing model for hospitals; as a second component it contains a collaborative purchasing typology. A first validation round with hospital purchasing professionals, described separately in Kusters and Versendaal (2011), confirmed four applicable purchasing types and fourteen salient collaborative purchasing impediments. The model is operationalized by including possible information technology (IT) solutions that address the specific fourteen impediments. This model is validated through methodological triangulation of four different validation techniques. We conclude that IT has the potential to support, or overcome, the impediments of HCP. The validation also reveals the need to distinguish between more processrelated, as opposed to social-related, obstacles; the immediate potential for IT solutions is greater for the process-related impediments. Ultimately, we conclude that the collaborative epurchasing model (e-HCP) and implementation roadmap can be used by healthcare consortia, branche organizations, partnering healthcare institutes and multi-site healthcare institutes as a means to help identifying strategies to initiate, manage and evaluate collaborative purchasing practices
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Introduction: Given the complexity of teaching clinical reasoning to (future) healthcare professionals, the utilization of serious games has become popular for supporting clinical reasoning education. This scoping review outlines games designed to support teaching clinical reasoning in health professions education, with a specific emphasis on their alignment with the 8-step clinical reasoning cycle and the reflective practice framework, fundamental for effective learning. Methods: A scoping review using systematic searches across seven databases (PubMed, CINAHL, ERIC, PsycINFO, Scopus, Web of Science, and Embase) was conducted. Game characteristics, technical requirements, and incorporation of clinical reasoning cycle steps were analyzed. Additional game information was obtained from the authors. Results: Nineteen unique games emerged, primarily simulation and escape room genres. Most games incorporated the following clinical reasoning steps: patient consideration (step 1), cue collection (step 2), intervention (step 6), and outcome evaluation (step 7). Processing information (step 3) and understanding the patient’s problem (step 4) were less prevalent, while goal setting (step 5) and reflection (step 8) were least integrated. Conclusion: All serious games reviewed show potential for improving clinical reasoning skills, but thoughtful alignment with learning objectives and contextual factors is vital. While this study aids health professions educators in understanding how games may support teaching of clinical reasoning, further research is needed to optimize their effective use in education. Notably, most games lack explicit incorporation of all clinical reasoning cycle steps, especially reflection, limiting its role in reflective practice. Hence, we recommend prioritizing a systematic clinical reasoning model with explicit reflective steps when using serious games for teaching clinical reasoning.
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