Mathematical play: games, problem solving, investigations and discussions

[摘要] This dissertation looks at the learning and teaching of mathematics through the issue of play and generalisation. Here, play is defined as providing a medium for learning. Generalisation is seen as being central to what mathematics is. The study initially examines the connections between play and mathematics. It goes on to investigate the effect of five significant shifts in my teaching, which have been driven by this initial study: Use of whiteboards. Starting with a problem, Generalisation, Room layout and Discussion. The study is carried out within a reflective practitioner qualitative research framework and is presented in a diary format in chronological order. In the learning of mathematics I have realised that mathematics is about problem solving and generalisation used correctly could greatly aid students’ understanding of mathematics. My teaching of mathematics has been greatly enhanced by using ‘circle time’ with small whiteboards by starting with a problem. I feel I have developed for students an experience of doing mathematics in a playful manner.

[发布机构] University:University of Birmingham;Department:School of Education

[关键词] L Education;LB Theory and practice of education