Theme 4: Worthwhile mathematical tasks

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Effective teachers understand that the tasks and examples they select influence how the students come to view, develop, use, and make sense of mathematics.

Requiring students to think deeply about mathematical ideas will ensure that conceptual understanding is developed and that higher ordering maths thinking is achieved. Teachers therefore need to be able to design, select and sequence mathematical tasks, both for teaching and for practice, that support the development of big ideas of mathematics rather than isolated strategies and skills. Tasks should challenge students to explore concepts (not simply ‘get the right answer’), to be able to generalise and to develop ideas about the nature of mathematics. Independent tasks should be well chosen to achieve this and not simply be time fillers.

Many of the short term interventions that teachers have implemented to accelerate learning in mathematics have focused on developing aspects number knowledge and related skills because these have been identified as foundations upon which to build. Some of these interventions are in addition to and complement the regular classroom programme in which the development of mathematical concepts and processes is a priority.
 

Exemplars:

See, say, do
A powerful teaching model is based on recognising that there are six things that students need to understand before they can be said to understand the meaning of 2 digit numbers.
Process to See, Say, Do (Example)
See
  • They see a numeral, “64” as “sixty – four”.
  • They read sixty four as sixty four
Say
  • They say “sixty - four” as 64 or “sixty-four”
  • They say “64” as 6 tens and 4 ones
Do
  • They show 64 or sixty-four, by counting objects from one to 64
  • They show 64 or sixty-four as six bags of lollies and 4 loose ones
(Keith Street School)

 

The COSDBRRICS programme as a tool is a well organised and sequenced resource to aid in accelerating learning in maths.

  • Counting forwards and backwards

  • Counting in 10’s, 5’s and 2’s

  • Ordering numbers 1-1000

  • Saying numbers up to quadrillions (as students requested it – challenged themselves!!)

  • Dictation

  • Basic facts – doubles, instant recall to 20 add/sub

  • Revision

  • Place value/fractions as needed (strategy)

  • Game

  • Students independent activities (games, worksheets, puzzles etc)

  • Homework

(School "C")