This study explores the effects of a computer algebra system on students' mathematical thinking. Mathematical thinking is identified with mathematical thinking powers and structures. We define mathematical thinking as students' capacity to specialize and generalize their previous knowledge to solve new mathematical problems. The study was…

In this longitudinal study, we track student answers to a question from the Calculus Concept Inventory (CCI) pre- and post-instruction in Calculus I as well as an analogous question in the next semester framed in the context of Aerospace Engineering or Chemical Engineering. Nearly 88% of the students who answered the post-CCI question correctly…

We examine a group (N = 88) of Swedish first-year engineering students, their motivation, self-efficacy, and beliefs about the nature of mathematics, and how these relate to their task performance in mathematics. In our data, engineering students who emphasized the exact reasoning in their view of mathematics performed significantly better in a…

The purpose of this paper is to explain a newly implemented interactive delivery model for students at the Colorado School of Mines (Mines) repeating Calculus for Scientists & Engineers I during the spring of 2017. Since calculus is a necessary component for so many STEM degrees, it will continue to be a gateway to obtaining such degrees and…

Collaborative learning is well-established as a method to improve student learning and retention in engineering classrooms. One problem with collaborative learning is difficulty maximizing engagement of all students during group activities. We tested a change in implementation of collaborative problem solving sessions (Workshops) in a first-year…

Introduction: When talking about knowledge itself, the way it is perceived, understood, learnt, remembered and thought, we are talking about metacognition. It is considered a crucial aspect in the development of reflective thought, autonomous learning and construction of knowledge. There exists several tools in literature to measure metacognitive…

This work describes the design and evaluation of a proposal to use Classroom Response Systems (CRS), intended to promote participative classes of Mathematics at University. The proposal is based on Problem Based Learnig (PBL) and uses Robert's six hypotheses for mathematical teaching-learning. The results show that PBL is a relevant strategy to…