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Bayesian modelling of student misconceptions in the one-digit multiplication with probabilistic programming
One-digit multiplication errors are one of the most extensively analysed mathematical problems. Research work primarily emphasises the use of statistics whereas learning analytics can go one step further and use machine learning techniques to model simple learning misconceptions. Probabilistic programming techniques ease the development of probabilistic graphical models (bayesian networks) and their use for prediction…
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Towards a Learning-Aware Application Guided by Hierarchical Classification of Learner Profiles.
Towards a Learning-Aware Application Guided by Hierarchical Classification of Learner Profiles – Graz University of Technology Skip to main navigation Skip to search Skip to main content Graz University of Technology Home Graz University of Technology Logo English Deutsch Home Persons Publications Organisations Projects Activities Prizes Press/Media Search by expertise, name or affiliation Towards a…
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Seven features of smart learning analytics-lessons learned from four years of research with learning analytics
Seven features of smart learning analytics-lessons learned from four years of research with learning analytics Learning Analytics (LA) is an emerging field; the analysis of a large amount of data helps us to gain deeper insights into the learning process. This contribution points out that pure analysis of data is not enough. Building on our…
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Determining the causing factors of errors for multiplication problems
Literature in the area of psychology and education provides domain knowledge to learning applications. This work detects the difficulty levels within a set of multiplication problems and analyses the dataset on different error types as described and determined in several pedagogical surveys and investigations. Our research sheds light to the impact of each error type…
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Adaptive learner profiling provides the optimal sequence of posed basic mathematical problems
Applications that try to enhance learners’ knowledge can profit by the creation and analysis of learner profiles. This work deals with the derivation of an optimal sequence of questions by comparing similar learning behaviour of users of a mathematics training application. The adaptation of the learners’ clusters to the answers of the revised optimal question…
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Markov chain and classification of difficulty levels enhances the learning path in one digit multiplication
In this work we focus on a specific application named “1×1 trainer” that has been designed to assist children in primary school to learn one digit multiplications. We investigate the database of learners’ answers to the asked questions by applying Markov chain and classification algorithms. The analysis identifies different clusters of one digit multiplication problems…
