Inspire Maths

Principal-author-and-consultant-for-Inspire-Maths.pdfIn Inspire Maths , concepts in each topic are carefully developed using Piaget’s Assimilation and Accommodation Approach. This ensures that sufficient time is given for children to master each concept before they move on to the next.

Piagetian conceptual development takes place over four stages:

• Learn: Direct teaching to develop knowledge and deep understanding.

• Guided practice: Informal assessment of children’s understanding.        

• Activity: Help for children to accommodate the concepts and skills learnt.

• Practice: Further enhancement to the accommodation of concepts and skills.  

The structure of the Inspire Maths programme mirrors these stages through the teaching sequence ‘Let’s Learn’, ‘Guided Practice’, ‘Activity’ and ‘Independent Practice’. With this structure, children have ample opportunities to practise concepts in Inspire Maths, and the scaffolded approach of practice gradually releases the responsibility of learning to  the children.


Above is an example of:

- A Let's Learn page which promotes deep mathematical understanding through clearly presented pages to illustrate the CPA approach. 

- An example of some of the activities children could explore in the Guided Practice part of a lesson which allows children to develop mathematical language through collaborative work. 

- An example of an Independent Practice page which allows children to apply their understanding and problem solve.

An Inspire Maths lesson

The Inspire Maths approach allows children to build upon their existing knowledge through a consistent and set approach. 

A new concept is introduced through Let's Learn which allows the teacher to model and assess the children's current understanding. This then leads onto ‘Guided Practice’, where children practise concepts with teacher’s guidance and you have the opportunity to identify those who need immediate intervention, consolidation, further practice or challenge to go deeper. This contributes to making learning accessible to all, and by the time children reach the second stage of practice, which is done independently (Independent Practice), they will be able to answer the questions confidently. This cycle of conceptual development repeats each time a new concept is introduced so mastery is achieved in a structured and coherent manner, without the risk of any child falling behind. A spiral, cumulative approach The spiral, cumulative approach relies on building mathematical content progressively  over time, so it is strongly recommended you teach the content in Inspire Maths in the order it is presented.