Many other studies have researched the benefits of digital manipulatives and digital environments through student completion of tasks and testing. This study intends to research students’ use of the digital tools and manipulatives, along with the students’ interactions with the digital environment. To this end, I conducted exploratory teaching experiments with two calculus I students.
In the exploratory teaching experiments, students were introduced to a GeoGebra application developed by Fischer (2019), which includes instructional videos and corresponding quizzes, as well as exercises and interactive notepads, where students could use digital tools to construct line segments and circles (corresponding to the physical straight-edge and compass). The application built up the students’ foundational knowledge, culminating in the construction and verbal proof of Euclid’s Elements, Proposition 1 (Euclid, 1733).
The central findings of this thesis are the students’ interactions with the digital environment, with observed changes in their conceptions of radii and circles, and in their use of tools. The students were observed to have conceptions of radii as a process, a geometric shape, and a geometric object. I observed the students’ conceptions of a circle change from a geometric shape to a geometric object, and with that change, observed the students’ use of tools change from a measuring focus to a property focus.
I report a summary of the students’ work and classify their reasoning and actions into the above categories, and an analysis of how the digital environment impacts the students’ conceptions. I also briefly discuss the impact of the findings on pedagogy and future research.
While Covid-19 had severe impacts on education across the board, the goal of our research is to examine how virtual learning affected Business Data Analytics and Computer Information Students at Arizona State University. A survey was created to measure three key academic areas (student learning, communication, and student engagement) that may have experienced a notable change in quality. Forty Nine W.P. Carey students were surveyed and their responses were recorded in a Google Sheet. From there the results were transferred to excel and converted into a Numeric Likert scale. By establishing base scores for each of the survey statements we can isolate areas of virtual learning that underwhelmed or satisfied our target demographic. The objective of the subsequent analysis was to identify any areas within the three focal points that participants felt strongly impacted their performance with virtual schooling during the August 2020 to May 2021 school year.