Enhancing the relevance of new learning
New learning is strengthened by making connections between prior knowledge, broader mathematical and statistical knowledge, and the real world.
Examples of teacher actions that enhance the relevance of new learning:
 exploring generalisations made by students
 providing appropriate levels of challenge
 encouraging students to explain their thinking
 supporting students to connect concepts and applications
 structuring mathematical discussion and argument
(BES, p. 74, PDF 794KB)
 using debate rather than assertion to resolve intellectual conflict (BES, p. 74)
 using 'I can do/I understand…' sheets
 providing reallife problems in which the context is relevant to the student
 allowing students to pose and answer their own problems and write stories for mathematical models.
Specific activities
Further information

YouTube: Everything is numbers, math is everywhere  Clip taken from the show Numb3rs that gives a quick explanation of the nature significance of math. Math is the real world, its everywhere. Example: The Fibonacci sequence and the golden ratio.
 Anthony, G., & Walshaw, M. (2009). Building on students’ thinking.
Effective pedagogy in mathematics (PDF 320 KB) (pp. 1112). Belley: Gonnet Imprimeur.
 Anthony, G., & Walshaw, M. (2009). Mathematical language (pp. 2122). Effective pedagogy in mathematics. Belley: Gonnet Imprimeur.
 Anthony, G., & Walshaw, M. (2007).
Effective pedagogy in pāngarau/mathematics: Best evidence synthesis iteration (BES) Wellington: Ministry of Education.
Last updated September 24, 2013
TOP