Intelligent Assessment in Math Education for Complete Induction Problems

Abstract

SAiL-M (Semi-automatic Analysis of Individual Learning Processes in Mathematics) is a joint research project with partners from several German universities and financed by the German Federal Ministry of Education and Research, targeted to develop new models to improve the quality of teaching mathematics in early semesters. The major objective of this project is to develop, apply, and evaluate activating learning scenarios and environments for learning mathematics at university level. This includes the development of novel teaching approaches and of novel ways to provide enhanced feedback to student performance on an individual bases utilizing semi-automatic, computer-based assessment tools. Successful approaches identified in the course of the project are collected and documented as best practices in terms of pedagogical design patterns.

In this paper, we will provide an overview on talhe SAiL-M project, it’s objectives and approaches. We will briefly introduce novel class concepts and teaching approaches being applied in the project. We will present and discuss the Intelligent Assessment paradigm and corresponding tools, which are currently being developed in the SAiL-M project. Here, we will focus on the Saraswati toolset designed and implemented at the University of Education at Weingarten. Finally, we will introduce the concept of pedagogical design patterns and explain, how these are being applied in the project.