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Five studies examined how interacting with the physical environment can support the development of fraction concepts. Nine- and 10-year-old children worked on fraction problems they could not complete mentally. Experiments 1 and 2 showed that manipulating physical pieces facilitated children's ability to develop an interpretation of fractions. Experiment 3(More)
Three studies examined whether mathematics can propel the development of physical understanding. In Experiment 1, 10-year-olds solved balance scale problems that used easy-to-count discrete quantities or hard-to-count continuous quantities. Discrete quantities led to age typical performances. Continuous quantities caused performances like those of(More)
This paper evaluates the Human Affect Recording Tool (HART), a Computer Assisted Direct Observation (CADO) application that facilitates scientific sampling. HART enforces an established method for systematic direct observation in Educational Data Mining (EDM) research, the Baker Rodrigo Ocumpaugh Monitoring Protocol [25] [26]. This examination provides(More)
This paper presents the results of a study comparing student learning in an inquiry-based and a traditional course in biotransport. Collaborating learning scientists and biomedical engineers designed and implemented an inquiry-based method of instruction that followed learning principles presented in the National Research Council report "How People Learn"(More)
We present results of an investigation of pre-service secondary mathematics and science teachers' conceptions of project-based instruction (PBI) and their enactments of PBI in apprentice (student) teaching. We evaluated their thinking and implementations within a composite framework based on the work of education researchers. We analyzed survey responses,(More)
Digital learning environments are becoming more common for students to engage in during and outside of school. With the immense amount of data now available from these environments, researchers need tools to process, manage, and analyze the data. Current methods used by many education researchers are inefficient; however, without data science experience(More)
Educational data mining is inherently falls into the category of the so-called secondary data analysis. It is common that data that have been collected for administrative or some other purposes at some point is considered as valuable for other (research) purpose. Collection of the student generated , student behavior and student performance related data on(More)
SFI Working Papers contain accounts of scienti5ic work of the author(s) and do not necessarily represent the views of the Santa Fe Institute. We accept papers intended for publication in peer-­‐reviewed journals or proceedings volumes, but not papers that have already appeared in print. Except for papers by our external faculty, papers must be based on work(More)
Educational Data Mining (EDM) methods can expand the reach of microgenetic research. This paper presents an example of our pilot work using microgenetic analysis in the context of fraction game data, where we characterize student activity based on clustered sequences of actions. We cluster sequences by the similarity between them, calculated using optimal(More)