Adding intelligent assessment: a Java framework for integrating dynamic mathematical software components into interactive learning activities

Abstract

Dynamic geometry constructions are commonly embedded into hypertext documents to create interactive exercises. In practice, this approach often constrains the possibilities of creating complex learning environments due to technical limitations. A Java-based framework for the development of interactive learning environments based on exploration laboratories containing dynamic geometry applets is presented. Dynamic geometry software (DGS) applets of different types can be integrated into the same laboratory and interact with each other. Within our framework, interactive exercises based on DGS constructions can be enriched with automated and semiautomated assessment algorithms. Students' learning processes can be recorded using capture-and-replay software. Two sample learning environments based on the framework are presented.

Mathematics Education and Language Diversity

“…Most of them also offer a small set of notational adjustments, which depend on the (mathematical) culture and purposes of the user. • More specialized tools such as MoveIt-M (Fest, 2011 ) support a similar localization but specifi c refi nement of language is needed for particular languages. For MoveIt-M, for example, the code which produces a verbal description of a transformation given by its fi xed points set, needs adaptation for each new language to produce the appropriate word sequence.…”

Aprimoramento Conceitual e Uso de Demonstrações Matemáticas: Um Estudo de Caso Sobre a Geometria Dinâmica e as Pesquisas de Campo com Ambientes Computacionais de Ensino

“…O uso de um ambiente suplementar em sala de aula certamente acarreta a necessidade de um aprendizado adicional sobre como manipulá-lo corretamente, o que pode desviar ou retardar o aprender da geometria propriamente dita. Visando justamente minimizar esse problema, Fest [1] propõe um esquema para integração de vários desses ambientes e mostra a aplicabilidade desse esquema em processos de ensino e aprendizagem. A interação se faz graças à execução síncrona e não-intrusiva de algoritmos automáticos e/ou semi-automáticos que permeiam os códigos dos ambientes.…”

Extending the Functionality of LMS to Support Computer Science Education Using Plug-in Tools

“…Also, they introduced a good courseware like myitlab (http://www.myitlab.com). In the same year, Fest [14] proposed integration of architecture of the Dynamic Geometry Software (DGS) that was developed by Java applet then integrated as a component into interactive learning activities.…”