Sullivan’s Six Key Principles for effective teaching of mathematics (2011)

According to Peter Sullivan, six principles should be followed in teaching numeracy (Sullivan 2011, p. 24-30):

  1. Articulate Goals – communicate to students what you are trying to teach and how they will learn
  2. Make Connections – build on what students already know including creating and connecting students with stories
  3. Foster Engagement – provide various tasks that challenge students
  4. Differentiate Challenges – encourage students to interact with others and to support those who need help
  5. Structure Lessons – use students’ reports to the class as learning opportunities
  6. Promote fluency and transfer – repeat and reinforce learned skills

Full text available here:

Effective Teachers of Numeracy in Primary Schools (Askew, 1997)

Three approaches to teaching: Connectionist, Transmission & Discovery.

Summary document: Book:

Numeracy Teaching Approaches In Primary

PDF File: Numeracy Teaching Approaches In Primary

Teaching and Learning Fractions:

Pearn and Stephens (2004):

Clarke, Roche, Mitchell (2008):

TED Talks

Ramsey Musallam: 3 rules to spark learning:

Sugata Mitra: Build a School in the Cloud:

Great resource for Math Blackline Master Handouts:

Web site: