Anne Watson, Emeritus Professor of Mathematics Education, University of Oxford
Peter Mattock focuses on the development of robust conceptual knowledge in school mathematics – where do core mathematical ideas come from and where might they lead? This knowledge does not come about by chance through repetitive practice but through tasks and discussion with knowledgeable teachers whose own conceptual knowledge is coherent and connected. Peter provides the background to this aspect of professional wisdom using ideas from literature and extensive experience of teaching mathematics – his own and that of others. Primary teachers will see how the conceptual foundations for further learning can be laid using learners’ natural responses to ideas, and secondary teachers will see how mathematical foundations have developed that can be used to teach more complex and abstract mathematics. New and experienced teachers will find plenty to support their thinking and maybe some moments of insight.