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Abstract Given growing interest in K-12 data and data science education, new approaches are needed to help students develop robust understandings of and familiarity with data. The model of the quantified self—in which data about one’s own activities are collected and made into objects of...
Abstract In this paper, we present data from two iterative teaching experiments involving students’ constructions of four basic counting problems. The teaching experiments were designed to leverage the generalizing activities of relating and extending to provide students with opportunities to...
Abstract We examine a hypothesis implied by Steffe’s constructivist model of children’s numerical reasoning: a child’s spontaneous additive strategy may relate to a foundational form of multiplicative reasoning, termed multiplicative double counting (mDC). To this end, we mix quantitative and...
Abstract This study presents the results of a series of design experiments that aimed to engage twelve fourth-grade students in mathematical activity exploring the volume of right prisms and cylinders as a dynamic sweep of a surface through a height, an approach that is referred to as Dynamic...
Abstract Creating learning environments that integrate arts, sciences, and computing in education can improve learning in these disciplines. In particular, transdisciplinary integrations of these disciplines can lead to expansive alterations or dissolutions of epistemological, ideological, and...
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