Search arXivSearch

arXiv · 1511.06699

Part I - A case study in post-secondary mathematics: the importance of mental health awareness

Abstract

Due to the shift of civilization from the Industrial Age to the Information Age, mathematical literacy has become a necessity in the twenty-first century. However, in order to learn and contribute to the mathematical community, one has to be in a state of good mental health. When I say 'good mental health,' I mean one has to develop a set of healthy coping strategies, be in a positive learning environment, and have a social support system. Traditionally, universities have been the venue of such higher learning. If these institutions want to remain as thriving grounds for higher education and engines of research, post-secondary institutions need to be aware of these factors and actively contribute to the well-being of its students and faulty. Unfortunately, students do not always receive the support necessary to be mentally healthy. The purpose of this paper is to examine how social awareness and sensitivity of mental health in a university setting is a key component for individuals to flourish academically and grow personally. Several voluntary surveys completed by my first and second year math students at the University of Waterloo will be presented. The surveys investigated the students' experiences at the university, particularly in the Mathematics Department. In addition, this paper explores an alternative way to structure math classes, specifically assignment scheduling, in order to help students develop healthy study habits. The scores for the alternative-scheduled assignments are statistically analyzed and compared to scores of the typical-scheduled assignments currently implemented at the University of Waterloo. Finally, this paper briefly discusses the importance of socialization, specifically for young mathematicians and scientists, and potential consequences of reduced social exposure in the Digital Age.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Janelle Resch. 2015-11-19. Part I - A case study in post-secondary mathematics: the importance of mental health awareness. https://arxiv.org/abs/1511.06699

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Addressing misconceptions in university physics: A review and experiences from quantum physics educators

Students often begin physics courses with misconceptions rooted in everyday experience and intuition, which can be resistant to change. While research has identified strategies for addressing misconceptions across physics, it remains unclear whether different domains, like classical and quantum physics, require different approaches. Quantum concepts can pose different representational and mathematical demands, while both domains require instructors to elicit and develop students' reasoning. To support discussion of these instructional challenges, we organize selected literature on addressing misconceptions in physics education and summarize instructors' accounts. The overview groups 122 distinct works into four categories, with further subcategories. A preliminary framework developed from existing review literature informed the interview guide. We interviewed 12 instructors from the University of Waterloo's Institute for Quantum Computing and the Perimeter Institute, who have collectively taught over 100 quantum courses. The accounts describe difficulties involving instructional representations, prerequisite knowledge, and the interpretation of students' reasoning, alongside reported diagnostic and instructional responses. We draw these accounts and the literature together as questions for instructional planning. The report does not resolve the intended classical--quantum comparison or establish comparative instructional effectiveness.

physics.ed-ph

Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)

In order to explain an elastic collision, Johann Bernoulli considered two bodies connected by a spring. Motion is defined as a succession of states of rest. Then, considering the spring to be a lever with a body at each extremity, the laws of equilibrium imply that `motion' is described by the time variation of the (common) quantity of motion of the bodies; the dynamic law is thus deduced. This inspires a teaching sequence to introduce the dynamic law (in one dimension) in introductory physics course; we call it ``bernoullian sequence''.

physics.ed-ph

Design and Initial Evaluation of a Photovoltaics-focused Course-based Undergraduate Research Experience in Physics

Traditional physics laboratory courses often focus on experiments with well-known results, limiting students' engagement in authentic scientific practices. Course-based undergraduate research experiences (CUREs), where students engage in real research with unknown outcomes, have been shown to support positive student outcomes, such as increased self-efficacy, persistence, and engagement in scientific practices. However, discipline-specific studies of CUREs in physics remain limited. We describe the development, structure, and initial implementation of a photovoltaics-focused CURE in a second-year undergraduate physics laboratory course at the University of Colorado Boulder. To examine how students experienced the course, we analyzed end-of-semester reflection assignments using the five CURE components (i.e., scientific practices, discovery, relevance, collaboration, and iteration), as well as established dimensions of research authenticity, as analytic frameworks. Students described experiences associated with all five CURE components, with collaboration, relevance, and scientific practices appearing most prominently in their reflections. Students also associated authentic research with meaningful scientific contribution, engagement in authentic scientific practices, and navigating the uncertainty and setbacks inherent in research, although fewer explicitly identified themselves as researchers or scientists. A subset of students additionally connected the course to their immediate thinking about future academic and professional pathways. This work contributes both a discipline-specific model for implementing CUREs in experimental physics laboratory courses and provides insight into how students interpret and experience authentic research within this course context.

physics.ed-ph