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- Sergio Gutiérrez Santos, Manolis Mavrikis, Darren Pearce
- ICALT
- 2008

Although the notion of generality is central in mathematics and science, being able to identify and express general patterns and/or articulating structures is one of the main difficulties for children when they learn mathematics. This paper presents a step towards a set of tools that addresses this problem problem by encouraging students to connect between… (More)

A data mining and visualization tool for the discovery of student trails in web-based educational systems is presented and described. The tool uses graphs to visualize results, allowing non-expert users, such as course instructors, to interpret its output. Several experiments have been conducted, using real data collected from a web-based intelligent… (More)

- Sergio Gutiérrez Santos, Darren Pearce, Eirini Geraniou, Manolis Mavrikis
- Diagrams
- 2008

We present a brief description of the design of a diagrambased system that supports the development of thinking about mathematical generalisation. Within the software, the user constructs a dependency graph that explicitly shows the relationships between components of a task. Using this dependency graph, the user manipulates graphical visualisations of… (More)

- Richard Noss, Alexandra Poulovassilis, +5 authors Manolis Mavrikis
- Computers & Education
- 2012

This paper charts the design and application of a system to support 11–14 year old students’ learning of algebraic generalisation, presenting students with the means to develop their understanding of the meaning of generality, see its power for mathematics and develop algebraic ways of thinking. We focus squarely on design, while taking account of both… (More)

Affective states play a significant role in students' learning behaviour. Positive affective states can enhance learning, whilst negative affective states can inhibit it. This paper describes a Wizard-of-Oz study which investigates whether the way feedback is presented should change according to the affective state of a student, in order to encourage affect… (More)

This paper describes an initiative aimed at adapting swarm intelligence techniques (in particular, Ant Colony Optimization) to an e-learning environment, thanks to the fact that the available online material can be organized in a graph by means of hyperlinks of educational topics. In this case, the agents that move on the graph are students who… (More)

Log files from adaptive Exploratory Learning Environments can contain prohibitively large quantities of data for visualisation and analysis. Moreover, it is hard to know in advance what data is required for analytical purposes. Using a microworld for secondary algebra as a case study, we discuss how students’ interaction data can be transformed into a data… (More)