MEMA522: Innovations through lesson study – Teaching through Problem Solving


This module aims through discussion, group activities, reading and seminar presentations to:

  1. explore what it means to “do” mathematics by actually “doing” some mathematics beyond their own comfort zone
  2. Ÿchallenge participants’ understanding of what constitutes “great instruction” by considering international evidence from countries such as Japan, Finland, Holland and Singapore
  3. develop knowledge and understanding of, and to examine, the nature of teaching through problem solving by looking at the Japanese approach to teaching mathematics
  4. identify ways of improving professional and educational practice in the teaching of mathematics by jointly planning and teaching a problem based lesson
  5. demonstrate enquiry, insight and analytical capability with regard to their own professional practice and those of colleagues in the pursuit of more effective teaching and learning of mathematics

ASSESSED LEARNING OUTCOMES: At the end of a module the learner will be expected to be able to:

  1. identify, select, critically analyse and evaluate ideas, perspectives, theories or data relevant to an appropriate area of study;  undertake a critical, imaginative and ethical investigation; relate theory to practice; formulate a coherent set of aims and objectives which effectively utilise available resources;  organise and manage the study.
  2. locate work within a broader context, usually through ideas, perspectives and theories from appropriate literature.
  3. adopt a questioning, reflective and critically aware stance throughout the study.
  4. choose and implement appropriate media and processes in relation to ideas, aims, intentions and context; select and apply appropriate methodologies to stated objectives and utilise them competently and methodically.
  5. show clarity and coherence in structure, writing conventions, style, presentation of evidence and argument; ensure the work is readable, accessible to its intended audience and effectively communicates the intended meaning.
  6. generate ‘new’ ideas and connections, apply existing material to new contexts or reappraise or critique familiar material; further, combine or resolve uncertainties, identify similarity, difference and interconnection, take risks and use rational and intuitive thinking.

Apply these generic abilities and qualities to one of the specific PGDip assessment modes – Critical Review of a Body of Knowledge, Developing Practice through a Project, Data Collection & Analysis, Critical Reflection on Practice, Making an Argument