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Cognitive Trajectory Of Proof By Contradiction For Transition-To-Proof Students, Darryl Chamberlain, Draga Vidakovic
Cognitive Trajectory Of Proof By Contradiction For Transition-To-Proof Students, Darryl Chamberlain, Draga Vidakovic
Publications
History and research on proof by contradiction suggests proof by contradiction is difficult for students in a number of ways. Students’ comprehension of already-written proofs by contradiction is one such aspect that has received relatively little attention. Applying the cognitive lens of Action-Process-Object-Schema (APOS) Theory to proof by contradiction, we constructed and tested a cognitive model that describes how a student might construct the concept ‘proof by contradiction’ in an introduction to proof course. Data for this study was collected from students in a series of five teaching interventions focused on proof by contradiction. This paper will report on two …
Students' Understanding Of The Concepts Involved In One-Sample Hypothesis Testing, Harrison Stalvey, Annie Burns-Childers, Darryl Chamberlain, Aubrey Kemp, Leslie Meadows, Draga Vidakovic
Students' Understanding Of The Concepts Involved In One-Sample Hypothesis Testing, Harrison Stalvey, Annie Burns-Childers, Darryl Chamberlain, Aubrey Kemp, Leslie Meadows, Draga Vidakovic
Publications
Hypothesis testing is a prevalent method of inference used to test a claim about a population parameter based on sample data, and it is a central concept in many introductory statistics courses. At the same time, the use of hypothesis testing to interpret experimental data has raised concerns due to common misunderstandings by both scientists and students. With statistics education reform on the rise, as well as an increasing number of students enrolling in introductory statistics courses each year, there is a need for research to investigate students’ understanding of hypothesis testing. In this study we used APOS Theory to …