Publications
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Insights into learning competence through probabilistic graphical models
One-digit multiplication problems is one of the major fields in learning mathematics at the level of primary school that has been studied over and over. However, the majority of related work is focusing on descriptive statistics on data from multiple surveys. The goal of our research is to gain insights into multiplication misconceptions by applying…
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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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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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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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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…
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On using markov chain to evidence the learning structures and difficulty levels of one digit multiplication
Understanding the behavior of learners within learning applications and analyzing the factors that may influence the learning process play a key role in designing and optimizing learning applications. In this work we focus on a specific application named "1×1 trainer" that has been designed for primary school children to learn one digit multiplications. We investigate…
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Quantum harmonic oscillator sonification
This work deals with the sonification of a quantum mechanical system and the processes that occur as a result of its quantum mechanical nature and interactions with other systems. The quantum harmonic oscillator is not only regarded as a system with sonifiable characteristics but also as a storage medium for quantum information. By representing sound…
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Sonification of a Quantum Mechanical System inspired by a Quantum Computation Model
In this paper, we describe the sonification of a quantum mechanical system and the processes that occur as a result of its quantum mechanical nature and interactions with other systems. The quantum harmonic oscillator is not only regarded as a system with sonifiable characteristics but also as a storage medium for quantum information. By representing…