Learning Algebra Multimodally

A joint research project lead-managed by the University of Bremen’s TZI, with partners from Didactics in Mathematics at the University of Bremen, publishing house Westermann and Ubimax aims to help students by allowing them to experience and grasp concepts with various senses. To achieve this, the project “Learning Algebra Multimodally” (MAL) uses new findings from research in math education and combines it with technology developed by the TZI. The Federal Ministry of Education and Research provides funding of 1.4 million euros; the project’s total volume is 1.8 million euros.

Algebraic concepts were first recorded almost 2000 years ago, but for today’s students they still present considerable challenges. Conveying the abstract subject matter is also difficult for teachers. A thorough understanding of algebraic concepts is not only important for studying science at a university level, but also for vocational training. However, many students at all levels of the education system are having difficulties when they are asked to comprehend and apply abstract algebraic concepts such as equations and variables.
MAL’s goal therefore is to develop an interactive Algebra learning system that conveys these concepts by making it possible to experience them with a variety of senses. That way the process of learning not only happens in the mind, but in the entire body – by seeing, hearing and touching objects. The scientists are developing physical “learning elements” that are equipped with information technology and represent – for example – numbers or variables. Students can arrange the objects to find solutions to problems. However, the required technologies have yet to be developed. This activity is closely intertwined with didactics research in order to make sure that the system will in fact be of practical use in the classroom when it is finished.
Teachers are also expected to benefit from the project. Due to time constraints they are often unable to provide everyone with the best-possible support – particularly when there are huge gaps between students’ skill levels. The MAL system will be able to detect and analyze its users’ proficiency. To increase the students’ motivation, exercises can be presented in game formats.
Meanwhile, the Institute for Information Management Bremen (ifib) focuses on the ethical, legal and social (ELSI) facets of using the new technologies in schools. The goal is to ensure that all requirements regarding these factors are already considered during the development process – and not afterward, when it is too late to make changes. At the end of the project, the Competence Center for Clinical Trials will support ifib and Didactics in Mathematics in the evaluation of the MAL system.

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