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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Differentiates between clinical reasoning for diagnosis, etiology, prognosis, and for interventions. Includes basic knowledge about clinical reasoning and more in-depth knowledge, illustrated with videos. Helps to understand and to critical appraise the common research designs in healthcare scientific literature.
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The Collaborative Innovation and Entrepreneurship professorship focuses on the collaborative paradigm in economic transformation - the ways diverse organizations in globalvalue chains innovate and act in partnerships to address ecological and social grand challenges. Collaboration with multiple and diverse stakeholders is complex and challenging. Stakeholders have different interests, may compete with each other, or are just not ready to move as fast or as radically as others. Yet, we know that grand challenges are too complex and systemic for any one organization to address alone. Business leaders have an important role to play in transforming economic ecosystems and catalysing change among stakeholders and industry actors. They must move from linear thinking, where sustainability is a market for green or social products, to circular and inclusive thinking, where regeneration of natural ecosystems occurs and economic profits are equally distributed.The Collaborative Innovation and Entrepreneurship professorship aims to contribute knowledge, support organizations, and facilitate learning about collaborative organizational forms and practices - what we call collaborative organizing - for a more sustainable, regenerative and thriving 21st century economic system.
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