Thesis Defense - Jon Janelle - Maine Center for Research in STEM Education

UMaine Alert

Posted: April 19, 2024 - 1:32 PM

At approximately 9:24 a.m. on Friday, April 19, a University of Maine graduate student was struck by a university vehicle on Long Road at the University of Maine campus in Orono. The student reports that they are at a local hospital with minor injuries.

Emergency services, including the Orono Fire Department, University Volunteer Ambulance Corps, University of Maine Police Department, Orono Police Department and Penobscot County Sheriff’s Office responded to the scene.

The university vehicle involved in the incident was a Chevrolet Express van. It was being operated by a university employee.

Counseling services and support are available for students, faculty or staff who may have been affected. The Counseling Center can be reached at 207-581-1392 and the Dean of Students Office can be reached at 207-581-1406.

The scene has been cleared and Long Road is now accessible. An investigation is being conducted by the University of Maine Police Department with assistance from the Penobscot County Sheriff’s Office Crash Reconstruction Unit. Any witnesses to the incident are encouraged to contact Lt. Noel Santiago at noel.santiago@maine.edu.

Thesis Defense – Jon Janelle

April 3, 2014 News

ORAL THESIS DEFENSE

MST Candidate
Jon Janelle
Thesis Advisor: Natasha Speer

Submitted in Partial Fulfillment of the
Requirements for the Degree of
Master of Science in Teaching

May, 2014

PROOF CONCEPTIONS OF COLLEGE CALCULUS STUDENTS

Mathematicians and mathematics education researchers have consistently asserted the crucial and multifaceted roles that deductive reasoning and proof play in mathematics. In contrast, students at many levels of education have been found hold severely limited views of proof that may lead them to view mathematics as a rigid, formal, and largely meaningless discipline. Improving students’ understandings and attitudes of reasoning and proof is necessary to motivate a greater number to consider careers in STEM fields and to prevent attrition in mathematically-intensive degree programs.

This study consisted of an investigation into 59 undergraduate calculus students’ views about the nature and purposes of mathematical proof, the forms of empirical arguments they perceived as valid proofs, and the connection between their proof construction and validation practices. Previous studies of student proof conceptions have primarily focused on three groups: students in secondary geometry courses, pre-service and in-service teachers, and advanced undergraduate and graduate students who have received formal instruction in the creation of deductive proofs. However, little attention has been given to the connection between students’ proof constructions and validations or to examining students’ conceptions after the completion of a high school geometry course, but before enrollment in proof-based mathematics course. Using data obtained from written surveys and interviews, this study was designed to fill this gap in the literature.

Findings suggest that a majority, more than 80%, of college calculus students believe that the inspection of a few examples and the testing of a single extreme case are valid forms of mathematical proof. In addition, students who incorrectly validated empirical arguments as proofs were significantly more likely than their peers to construct empirical arguments when asked to verify a conjecture. Consistent with the findings of past researchers, approximately half accepted false arguments based on their proof-like surface features, for example the use of variables or formal mathematical language. While two-thirds of students were able to describe at least one purpose for proof consistent with descriptions generated by the mathematical community, many were unable to acceptably describe a single meaningful use. The pedagogical implications and limitations of these findings are discussed.

Thursday, April 17, 2014
2:00-4:30 pm
207 Boardman Hall