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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)
In this paper we examine the possibilities of applying predictive analysis to users' written communication via comments in an open-ended online social networking forum: Scratch.mit.edu. Scratch is primarily used by youth ages 8-16 years to program software like games, animations, and stories; their social interactions take place around commenting, remixing,(More)
A working understanding of fractions is critical to student success in high school and college math. Therefore, an understanding of the learning pathways that lead students to this working understanding is important for educators to provide optimal learning environments for their students. We propose the use of microgenetic analysis techniques including(More)
Computer programming is often a stationary, solitary task; such tasks do not work well for most novices. This work describes the IPRO project that uses our 'Programming Standing Up' framework (PSU) to reframe programming as a mobile, social game. IPRO is a programming and simulation environment for iOS in which a learner programs a virtual robot to play(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)