Abstract
We discuss the dual teaching roles of university mathematics tutors, as teachers and policy makers, in relation to the classroom implementation of technology while guided by departmental policies. The main contribution of this chapter is the exemplification of these roles in an undergraduate mathematics programme, called Mathematics Integrated with Computers and Applications (MICA), with systemic technology integration. The current classroom practices of tutors in one of the MICA core courses for mathematics majors and future teachers of mathematics are examined. The role of the tutors in this course is to carefully guide the students’ instrumental genesis of programming technology for the investigation of both mathematics concepts and conjectures, and real-world applications. Acting as a mentor, the tutor encourages students’ mathematical creativity as they design, program, and use their own interactive mathematics Exploratory Objects.KeywordsUniversity mathematics educationTechnology integrationTutors’ roles as teacher and policy makerMathematics departmentProgrammingExploratory objects/microworldsInstrumental integrationCreativity
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