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Non-Hierarchical Clustering as a Method to Analyse an Open-Ended Questionnaire on Algebraic Thinking
Di Paola, Benedetto; Battaglia, Onofrio Rosario; Fazio, Claudio – South African Journal of Education, 2016
The problem of taking a data set and separating it into subgroups, where the members of each subgroup are more similar to each other than they are to members outside the subgroup, has been extensively studied in science and mathematics education research. Student responses to written questions and multiple-choice tests have been characterised and…
Descriptors: Foreign Countries, Grade 10, Questionnaires, Algebra
Butcher, Kirsten R.; Aleven, Vincent – Journal of Educational Psychology, 2013
In many domains, problem solving involves the application of general domain principles to specific problem representations. In 3 classroom studies with an intelligent tutoring system, we examined the impact of (learner-generated) interactions and (tutor-provided) visual cues designed to facilitate rule-diagram mapping (where students connect…
Descriptors: Problem Solving, Intelligent Tutoring Systems, Visual Stimuli, Visual Aids