2021 Research in Undergraduate Mathematics Education Reports
2021
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Adapting a Single Local Instructional Theory into Multiple Instructional Sequences
Page: 378
Local instructional theories (LITs) are often described as a generalized sequence of steps for students’ guided reinvention of some mathematical concept. They consist of a series of tasks and the accompanying rationale for the tasks, where the rationale is described in student’s mathematical activity. Literature suggests that the rationale can be used to adapt LIT’s into different instructional sequences however it fails to provide specifics as to how these adaptations are achieved. This report details how the design heuristic of didactical phenomenology can be used to create multiple instructional sequences for students with different mathematical backgrounds, thus contributing to our understanding of the theory of realistic mathematics education.