NCETMNCETM logo
NCETM - Working collaboratively to enhance mathematics teaching

Module for mathematics specialists in post 16 education and training

Session 4: Pedagogy behind resources

Eight principles for effective teaching of mathematics underpin the approaches contained in the Improving Learning in Mathematics resource. They have been identified as a result of research into mathematics teaching and learning that has been carried out over a number of years and are in line with good practice identified in the recent Ofsted report, Evaluating provision for 14-19 year-olds (May 2006, Ref HMI 2611). All the sessions in the resource have been written to take account of the eight principles.

Consider these 8 principles now:

Take each principle in turn.

You may find it useful to discuss these principles with a colleague if you can.

If there is no-one available for you to work with in your organisation on this, there is an online discussion about the principles here.

Reflection icon

1 Build on the knowledge that learners bring to sessions

Please record your thoughts

Reflection icon

2 Expose and discuss common misconceptions

Please record your thoughts

Reflection icon

3 Develop effective questioning

Please record your thoughts

Reflection icon

4 Use cooperative small group work

Please record your thoughts

Reflection icon

5 Emphasise methods rather than answers

Please record your thoughts

Reflection icon

6 Use rich collaborative tasks

Please record your thoughts

Reflection icon

7 Create connections between mathematical topics

Please record your thoughts

Reflection icon

8 Use technology in appropriate ways

Please record your thoughts

Reflection icon

Additional comments

Please record your thoughts

If you would like to do more

Printable resource icon

Getting started
Source: Teaching and learning QIA PD1: Getting started.

A link to the first professional development session in ILIM where teacher beliefs and learner perceptions are considered. This could be used when working with a colleague or colleagues to reflect on the principles of effective teaching.

To find out more about the research evidence behind the eight principles of effective teaching, please read the following:

Web site resource

Improving Learning in Mathematics: Challenges and Strategies by Malcolm Swan.