Learning Mathematics through the Design and Implementation of Exploratory and Learning Objects

This expository paper describes students' mathematics learning as they design and implement Exploratory and Learning Objects in an innovative core mathematics university program, called MICA (Mathematics Integrated with Computers and Applications) that integrates evolving technologies in the learning of mathematics. We describe a different mathematics teaching paradigm that engages Brock University students from their first year into personalised original mathematics work. Examples of interactive student Exploratory and Learning Objects illustrate that the students instantiate their creativity in mathematics and communicate their understanding of mathematics. We observe that students also have dedication, pride and ownership in their mathematical work.