Category: Dynamic Technology

  • What Dynamic Technology offers for Teaching and Learning Mathematics that PPT Animations don’t!

    Teachers should be aware of the limiting factors of PPT animations and their potentially restrictive impact on pedagogy and deep learning in mathematics.

    Evidence from my small scale research of PPT based resources currently widely used by schools, showed examples of the number of ‘clicks’ needed in what was identified as an animated PPT slide deck for a single one hour lesson:

    • Primary – 148 ‘clicks’ in 17 slides
    • Secondary – 245 ‘clicks’ in 45 slides

    Too frequently these PPT animations lead to direct instruction at the expense of developing children’s mathematical behaviours. The slide deck is set up to ‘flow through’ an idea and does not facilitate any live ‘in the moment’ responses to children’s thinking or questions.

    Whereas, using dynamic technology there is every opportunity to respond to children with visuals to help them secure the understanding and even offer alternative representations.

    Surely we want teachers to be asking children:
    “What do you notice?”
    “What do you think will happen when..?”
    “What number do you want to try next”
    as well as children being curious and asking:
    “What if……”,
    “Does it always work”
    Using dynamic technology is about improved pedagogy where teachers are teaching not presenting, the focus is on the needs of the children and how the teacher can meet their needs, and should be included as a key element fin the DfE funded NCETM Big Ideas.!

    Below are 2 approaches to the ‘teaching’ of ‘Perimeter of a rectangle’ one from a published resource and one I have created. Each video is less than 2 minutes, and for some readers, today could be the day you are enlightened to the potential of dynamic technology!

    The Animated PPT approach

    Children are watching a procedure being modelled but the animation does not embed the conceptual understanding of the perimeter being a measurement of length nor encourage children encouraged to develop their mathematical behaviours.

    Slide 1
    24 separate red lines appear, which may well be used for choral class chanting/counting, but will children be focusing on the sequence of counting numbers or recognising the red lines are meant to be representing a length?

    Slide 2
    Again the animated red lines are not showing lengths. Children are led to the fact opposite sides of the rectangle have the same value and sum to 24. The algorithm is correct.

    Most importantly the children are not seeing the Perimeter as a measurement of length and evidence of its location on the rectangle, and they are only working with one example.

    Now for the Dynamic Technology version.

    The dynamic technology can be used Front of Class or on 1:1 devices.

    As with any learning environment it is the teacher’s pedagogy that makes the difference to learners in classrooms, but with this dynamic technology there are visuals to support children of low prior attainment in their learning.

    I would create the first rectangle to simulate the rectangle of tiles and the child stepping around them in the image, then encourage the children’s curiosity by asking children in the classroom:
    What do you notice?
    What rectangles shall we draw next?
    What can you notice now and can you make any generalisations?
    Does your generalisation always work?

    The classroom experience being

    You do, the children are invited to action and respond to the task provided
    We do, the children and the teacher build up/draw together the finding on the mathematical concept
    I do, the teacher refines the class findings to develop more sophisticated mathematical generalisations.

    Using dynamic technology children can:-

    • learn from feedback
    • readily compare and contrast different representations
    • pattern spot – explore the effects of varying values and look for invariance and covariance
    • see connections in the mathematical structure
    • visualise and work with dynamic images

    Here is a simplified dynamic technology file you and colleagues can explore when teaching the perimeter of rectangles/shapes.

  • Dynamic Technology – The 6th Big Idea of Teaching for Mastery in Mathematics

    The DfE funded NCETM has 5 Big Ideas at the core of Teaching for Mastery (TfM) in Mathematics for all UK schools. For a 21st Century Mathematics education the place of Digital Dynamic Technology must surely be included and become the 6th Big Idea in TfM.

    The JMC report of 2011 highlighted this missing element and in 2023 said little had changed. In 2025 there is still an absence of dynamic technology being promoted.

    The current practice of using PPT with single use animation does not offer anything like the potential of dynamic technology, results in children ‘watching’ and not being given the opportunity to see ‘in the moment’ visual responses to questions they ask. The integration of dynamic tools and interactive learning experience creates a more engaging and personalised learning environment for all children to develop the essential Mathematical Behaviours.

    Recent evidence from Nottingham University Observatory for mathematical education offers further support with a key finding from the ‘Key Stage 3 teachers of Mathematics Themed report 25/01’ (April 2025):

    The most pressing professional development need reported by KS3 maths teachers is on the use of digital technologies.

    Direct evidence from teachers collated from conference presentations I have delivered and numerous CPD sessions I have led for both Primary and Secondary teachers support my recommendation for Dynamic Technology as the 6th Big Idea for Teaching for Mastery, e.g.:-

    • Digital technology in maths is such a powerful learning tool for all learners – our focus on adaptive teaching will need to consider this if we want to truly to ensure all children are included in the lesson.
    • The slide on ppt clicks was incredible and made me reflect on how the children in my class learn – are they really interacting with the maths??
    • “Love the teaching ideas, schools need more guidance on this”
    • “Love the interactive tangible nature of your presentation – you showed what is possible in context!”

    Evidence from the neuroscientists adds further support for the use of Dynamic Technology can offer to the learner:

    • ‘Advocates of dual coding theory argue that people retain information best when it is encoded in both visual and verbal codes’ (Byrnes, 2001, p. 51). It is therefore appropriate to surmise that using visualisations improves retention of the mathematics taught.
    • Schacter’s (2001) research implies that students may ignore symbolic work, if not accompanied by visualisations.
    • Additionally ‘Any attempt to reduce transience (memory loss over time) should try to seize control of what happens in the early moments of memory formation, when encoding processes powerfully influence the fate of the new memory’ (Schacter 2001)
    • When a child has a personal stake in the task, he can reason about that issue at a higher level than other issues where there isn’t the personal stake… These emotional stakes enable us all to understand certain concepts more quickly. Greenspan and Shanker (2004)

    IMOTeaching for Mastery must include Dynamic Technology

    The use of dynamic technology positively impacts on and connects the other 5 Big Ideas.