Maths: CPAL, Inspire Maths

Principal-author-and-consultant-for-Inspire-Maths.pdfIn-depth development of individual concepts  in Inspire Maths In Inspire Maths , concepts in each topic are carefully developed using Piaget’s Assimilation and Accommodation Approach5. 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.

During ‘Guided Practice’, 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, 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. There are some ‘National curriculum in England: mathematics programmes of study’ objectives not covered by the Pupil Textbooks. You will find ‘Additional Activities’ on Inspire Maths Online ( to support you to meet these (see How Inspire Maths relates to the National Curriculum for further guidance). There are also some topics introduced earlier in Inspire Maths than in the National Curriculum. You can be confident that all relevant objectives will be covered by the end of each Key Stage when you use the Pupil Textbooks and the additional activities on Inspire Maths Online .

As Inspire Maths follows the Singapore maths curriculum progression, it is structured  by stage rather than by age so it is not necessary to cover all the content in, for example, Inspire Maths 2 in Year 2. Children can continue working on Inspire Maths 2 in Year 3.  At the start of each academic year, the appropriate starting point should be considered after liaising with the previous class teacher and the needs of the class. Please refer to the chart on pages 6–7 for a guide to teaching and using the Inspire Maths Pupil Textbooks across the academic years.