The purpose of this article is to explore student reasoning with regard to problems in logic, particularly those related to the Principle of Mathematical Induction (PMI). The five case studies presented build off of work done by other researchers, most notably Dubinsky and Harel, who both looked at how students'...
PURPOSE OF THE STUDY
This study developed a model which identified mathematical needs
in various vocational technical programs. This model provides a
method which can be used to develop an adequate mathematics curriculum
to support occupational offerings at community college/technical
institutes, and can also help high schools and the colleges/technical...
Two mathematical computer games, POE and EQUATIONS, were used to
test the effects of games as learning aids in a university entry-level
intermediate algebra course. Specifically, this study investigated
whether use of these games would significantly increase student achievement
in the course and improve student attitude toward mathematics.
EQUATIONS is...
Purpose of the Study:
The purpose of this study was to analyze, in the mathematics
classrooms, career-oriented verbal mathematics problems on the
achievement and attitude of the vocational mathematics student.
These career-oriented mathematics problems, used as advanced
organizers, were contrasted with mathematics word problems of a
more abstract and generalized...
Multiple factors are known to influence student success in higher education. Barriers to postsecondary success for underrepresented STEM students are numerous and well documented. We detail an exploratory study of STEM faculty notions of successful students and the instructional practices they employ to cultivate student success. We use a conceptual...
This paper explores the affordances and constraints of STEM faculty members' instructional data-use practices and how they engage students (or not) in reflection around their own learning data. We found faculty used a wide variety of instructional data-use practices. We also found several constraints that influenced their instructional data-use practices,...
The purpose of this study was to investigate third year college students' transfer of learning of the concepts of eigenvalues and eigenvectors from the winter term physics courses to the interviews in which they participated before, during, and after these courses. Transfer of learning of each student was explored
by...
Collegiate student's conceptual distinctions of what define a mathematical and a physical model seems to be affected by the epistemological beliefs they hold about this knowledge. These beliefs seem to influence student's thinking and reasoning as they embark on problem solving activities in collegiate mathematics. Student's epistemological beliefs of mathematical...
This dissertation arose out of an awareness of difficulties undergraduate linear algebra students encounter when solving linear algebra problems from novel, non-isomorphic settings, even when the problems could be solved with matrix representations and similar procedures as problems from a more familiar setting. This mixed-methods study utilized both traditional and...
Over several decades, much attention has been paid to the preparation of K-12 teachers. More recently, the body of literature on graduate teaching assistants' preparation for teaching has begun to increase. Since many graduate teaching assistants are hired as community college and university instructors, it is important to understand how...