False e-Proof Components
A proof step could contain false proof step components for the following reasons:
- increase the options for the learners by providing false proof steps that have similarities to the correct proof steps, so that learners have to read carefully the mathematical expressions of the proof steps.
- take standard student errors into account and provide appropriate proof step components for the prospective standard errors.
Example: (a+b)2=a2+b2 (instead of (a+b)2=a2+2ab+b2) can be regarded as a prospective error in an e-proof.
This could lead to the provision of false proof steps for the standard error of learners.
This could lead to the provision of false proof steps for the standard error of learners.
Error Analysis in Mathematics Education (Jun-Prof. Dr. Kathrin Winter)
Jun-Prof. Dr. Karthin Winter conducts research on error analysis in mathematical proofs.
The research results lead to the false e-proof components and have the objective to identify appropriate support for learners.
The research results lead to the false e-proof components and have the objective to identify appropriate support for learners.
Publication:
Winter, K. (2011). Entwicklung von Item-Distraktoren mit diagnostischem Potential zur individuellen Defizit- und Fehleranalyse. Didaktische Überlegungen, empirische Untersuchungen und konzeptionelle Entwicklung für ein internetbasiertes Mathematik-Self-Assessment. WTM-Verlag. Münster.
Winter, K. (2011). Entwicklung von Item-Distraktoren mit diagnostischem Potential zur individuellen Defizit- und Fehleranalyse. Didaktische Überlegungen, empirische Untersuchungen und konzeptionelle Entwicklung für ein internetbasiertes Mathematik-Self-Assessment. WTM-Verlag. Münster.