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High Cognitive Demand Examples In Precalculus: Examining The Work And Knowledge Entailed In Enactment, Erica R. Miller
High Cognitive Demand Examples In Precalculus: Examining The Work And Knowledge Entailed In Enactment, Erica R. Miller
Department of Mathematics: Dissertations, Theses, and Student Research
Historically, pass rates in undergraduate precalculus courses have been dismally low and the teaching practices and knowledge of university instructors have been understudied. To help improve teaching effectiveness and student outcomes in undergraduate precalculus courses, I have studied the cognitive demand of enacted examples. The purpose of this dissertation is to examine the pedagogical work and mathematical knowledge entailed in the enactment of high cognitive demand examples in a three-part study. To answer my research questions, I conducted classroom observations as well as pre- and post-observation interviews with seven graduate student instructors at a large public R1 university in the …
Planning And Enacting Mathematical Tasks Of High Cognitive Demand In The Primary Classroom, Kelly Georgius
Planning And Enacting Mathematical Tasks Of High Cognitive Demand In The Primary Classroom, Kelly Georgius
Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research
This study offers an examination of two primary-grades teachers as they learn to transfer knowledge from professional development into their classrooms. I engaged in planning sessions with each teacher to help plan tasks of high cognitive demand, including anticipating and planning for classroom discourse that would occur around the task. A detailed description of the planning and teaching that took place during the study provides information about how a teacher can learn and what a teacher learns to consider in order to plan and implement meaningful mathematical lessons. This design experiment describes the work of two teachers who participated in …