Teaching and learning theory
The National Numeracy site has a great ’essentials of numeracy’ diagram which encapsulates the essential components in understanding numbers, the number system and the ways that numbers can be combined and used – to help learners decide on their own personal starting point and pathway to develop key skills in numeracy.
This is then broken down into 4 learning pathways – information handling and processing,
A huge library of Mathematical Collections and Conference Proceedings. These do not appear to have been updated since 2006 but include: A sociocultural analysis of learning to teach (Merrilyn Goos) – where her three zone framework is discussed.
This is one of many Harvard references to useful online references that I used in the Level 5 Maths ADTLLS, Meeting a learner’s needs / case study assignment (Part of Module 1: Approaches to Mathematics learning and teaching).
Schuller, T., Brasset-Grunay, A., Green, A., Hammond, C. and Preston, J. (2002), Learning, Continuity and Change in Adult Life. London: Institute of Education. In: Coben, D. (2007), Effective Teaching and Learning: Numeracy. London: National Research and Development Centre for Adult Literacy and Numeracy, p.25.
Communities of practice is site run and written by Etienne Wenger (of Lave and Wenger fame!), a leading expert on communities of practice. Try this excellent quick starter diagram (PDF) to get your head round his theories and apply it to your teaching rationales, reflective diary, etc.
A great source of research papers and information such as: Linda Galligan’s Using Valsiner [zone theory] a study of numeracy in first year nursing students, Creating Learning Spaces (Merrilyn Goos), and Technology-Enriched Teaching of Secondary Mathematics: Factors Influencing Innovative Practice (Merrilyn Goos & Anne Bennison) which includes an analysis of Valsiner’s Zone Theory.
Maths4Life is now part of the Excellence Gateway and has loads of ideas for teaching and learning numeracy – along with related constructivist / connectivist theory. It’s also a fantastic source of printable resources and card based games – I keep the big yellow folder (all contents available on the site as PDF files) under my desk and refer to it often.
An amazing site run by Jim Crawley, head of Lifelong Learning at Bath Spa University. Full of information, links to background theory on adult learning and learning styles, and all the latest news, theories and controversies in adult education.