Teaching and learning theory
Entry 3 resource are split into four sections
- Working with Whole Numbers and Simple Fractions
- Working With Decimals And Money
- Working With Measures, Shapes and Space
- Working With Information From Lists, Tables, Charts And Graphs
Level 1 resources into five sections:
- Working With Whole Numbers, Decimals, Fractions and Percentages
- Using Simple Formulae
- Using Simple Ratio And Proportion
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.