Computer-Supported Assessment of Geometric Exploration Using Variation Theory

Autor: Yael Luz, Michal Yerushalmy
Rok vydání: 2023
Předmět:
Zdroj: Journal for Research in Mathematics Education. 54:141-174
ISSN: 1945-2306
0021-8251
DOI: 10.5951/jresematheduc-2020-0260
Popis: We report on an innovative design of algorithmic analysis that supports automatic online assessment of students’ exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic activity format for if–then propositions and implemented the activity on a platform that collects and analyzes students’ work. Finally, we searched for ways to use variation theory to analyze ninth-grade students’ recorded work. We scored and classified data and found correlation between patterns in exploration stages and the conjectures students generated. We demonstrate how automatic identification of mistakes in the early stages is later reflected in the quality of conjectures.
Databáze: OpenAIRE