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  1. This study tested whether exploring with simulations before instruction offers the conceptual benefits of “productive failure,” compared to a more traditional lecture-then-practice method. Undergraduate students (N=218) in introductory chemistry courses completed an activity using an online simulation about atomic structure. Students either completed the simulation activity before (explore-first condition) or after (instruct-first condition) a lecture on the topic. Students in both conditions scored equally on an assessment of basic facts taught in the instruction. However, students in the explore-first condition scored significantly higher on assessments of conceptual understanding and transfer to a new concept, compared to students in the instruct-first condition. Students in the explore-first condition also reported experiencing greater competence and curiosity during the learning activities. A guided simulation activity prior to instruction can have both motivational benefits and deepen students’ understanding. 
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  2. This work in progress paper discusses preliminary research testing the causal effectiveness of exploratory learning in undergraduate STEM courses. Exploratory learning is an active-learning technique that has been shown to improve students’ conceptual understanding, and is therefore well suited for STEM education. This method reverses the order of traditional lecture-then practice methods, by having students explore a novel problem prior to instruction. Participants (N=150) were first-year engineering students enrolled in an introductory engineering calculus course. Students were taught about two-dimensional vectors in an online, asynchronous learning module. Students were randomly assigned to one of two conditions. In the instruct-first condition, students viewed the instruction and then completed a Geogebra™ activity. In the explore-first condition, students completed the activity and then viewed the instruction. Thus, the exact same activities were given to students, allowing us to test the causal effectiveness of reversing the placement of the activity. Afterwards, all students completed an online quiz and a later Vector test. A number of students opened but did not complete the activity. Of those students, no effects of condition were found. For the students who completed the activity, those in the explore-first condition scored higher on the quiz than those in the instruct-first condition. Scores were trending in a similar direction on the vector test. These results demonstrate the potential of exploratory learning to improve understanding in engineering mathematics, and in an online module format. This research also suggests that Geogebra™ may be a useful tool for developing an exploration activity students can complete online. 
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