Education Commons^™

Characterizing And Supporting Change In Algebra Students' Representational Fluency In A Cas/Paper-And-Pencil Environment, Nicole L. Fonger

Dissertations

Representational fluency (RF) includes an ability to interpret, create, move within and among, and connect tool-based representations of mathematical objects. Taken as an indicator of conceptual understanding, there is a need to better support school algebra students’ RF in learning environments that utilize both computer algebra systems (CAS) and paper-and-pencil. The purpose of this research was to: (a) characterize change in ninth-grade algebra students’ RF in solving problems involving linear equations, and (b) determine conditions of a CAS and paper-and-pencil learning environment in which those students changed their RF.

Change in RF was measured by comparing results from initial to …

Describing The Apprenticeship Of Chemists Through The Language Of Faculty Scientists, Brandy Ann Skjold

Dissertations

Attempts to bring authentic science into the K-16 classroom have led to the use of sociocultural theories of learning, particularly apprenticeship, to frame science education research. Science educators have brought apprenticeship to science classrooms and have brought students to research laboratories in order to gauge its benefits. The assumption is that these learning opportunities are representative of the actual apprenticeship of scientists. However, there have been no attempts in the literature to describe the apprenticeship of scientists using apprenticeship theory. Understanding what science apprenticeship looks like is a critical component of translating this experience into the classroom. This study sought …

Patterns Of Interaction And Mathematical Thinking Of High School Students In Classroom Environments That Include Use Of Java-Based, Curriculum-Embedded Software, Karen L. Fonkert

Dissertations

This study analyzes the nature of student interaction and discourse in an environment that includes the use of Java-based, curriculum-embedded mathematical software. The software CPMP-Tools was designed as part of the development of the second edition of the Core-Plus Mathematics curriculum. The use of the software on laptop computers in small groups of students, and in whole-class interactive lessons with a single computer at the front of the classroom was explored. Data were collected through observations, interviews, and selected items from the students’ regular assessments. During the observations, classroom discussion was audio-taped and videotaped, and field notes were taken. The …