‘Balancing’ the ‘live’ use of resources towards the introduction of the Iterative Numerical method

Lina Kayali (1) , Irene Biza (1)

1 School of Education and Lifelong Learning, University of East Anglia, Norwich, UK

This paper draws on the Knowledge Quartet (Rowland, Huckstep, & Thwaites, 2005) to analyse an introductory to the Iterative Numerical Method Year 13 lesson of a secondary mathematics teacher who uses a range of paper based and electronic resources including Autograph, a mathematics-education software. Data were collected during one lesson observation and a follow up interview with the teacher. Analysis identifies the different aspects of the Knowledge Quartet dimensions: foundation, transformation, connection and contingency, in relation to the introduction to the Iterative method and to the teaching of Year 13 students. Findings demonstrate how the teacher used students’ contributions as resource for his teaching; how he balanced his use of resources; and how he created connections between these resources while he remained attentive to exam requirements.

Mots clés: Knowledge Quartet; foundation; transformation; connection; contingency; resource

Domaines: Mathématiques [math]; Education

Lina Kayali, Irene Biza. ‘Balancing’ the ‘live’ use of resources towards the introduction of the Iterative Numerical method. Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands. ⟨hal-02430087⟩