Lights, Camera, Math! The F Pattern News
2011
Abstract
We define mathematical performance as the process of communicating mathematics using the performance arts. By highlighting the role of technologies in shaping mathematical thinking, we present two episodes of a qualitative case study. First, considering the use of songs, lyrics, video clip, manipulative blocks, and online applet, we illustrate how thinking collectives of studentsteacher-media investigated the L Patterns (sequence and series of odd and even numbers) and conjectured a new sequence of numbers called F pattern. Then, we describe how these collectives created a digital math performance for the Math Performance Festival based on their conjecture. We believe that digital media and the performance arts are helping to create transformative means of mathematical communication and learning. Traditionally, "mathematical performance" is conceptualized as pertaining to the domain of assessment and evaluation. However, we see mathematical performance as the process of communicating mathematics using the performance arts (Gadanidis & Borba, 2008). "Exploring mathematical ideas through performance can offer a way to challenge some of the most limiting stereotypes around mathematics learning" (Gadanidis, Gerofsky & Hughes, 2008 p. 19). By creating music or movies, math performers can provide surprises to audiences and communicate mathematical ideas in an imaginative way. Moreover, digital mathematical performances are digital media (e.g., video and audio files, flash animations, and virtual objects) used to communicate math through music, cinema, theatre, poetry, storytelling, etc. We do not suggest all mathematics should be taught using performance arts. However, thinking about mathematics as performance may lead to new ways for (a) student to produce knowledge with technologies and (b) sharing mathematics beyond classrooms (Gadanidis, Gerofsky & Hughes, 2008). Since 2008, students and teachers have been submitting digital mathematical performances to the Math Performance Festival (MPF) (Gadanidis, Borba, Gerofsky & Jardine, 2008). The MPF is based on a virtual environment where digital performances are published. Every year, Canadian celebrities (e.g., musicians, poets, TV presenters) and mathematicians select their favourite performances in terms of: (a) depth of the mathematical ideas; (b) creativity and imagination; and (c) quality of the performance. The participants of these performances are awarded with medals. have referred to the MPF as "one example that helps bring the mathematical ideas of students into public forums where it can be shared and critiqued and which then provides opportunity for the continued development of knowledge and understanding within a supportive community of learners" (p. 102). In this paper, we present a qualitative case study to illustrate how Brazilian students investigated and created a digital mathematical performance for the MPF. We suggest math performance can offer ways for transformative teaching and learning mathematics.
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