Teaching on firm learning foundations


Finding and firming learning foundations is what we call the process of pre assess and the first time of teaching of each topic using timely practice.

When the teacher returns to teach the topic a second time we call this teaching on firm learning foundations.


Once all topics (that can currently be taught) have been taught once and timely practice assignments have been done regularly then when the teacher returns to the Progress on Topic the teacher can see what layers

  • each learner has mastered,
  • still need to be taught.

The teacher can also begin teaching faster and the learners begin learning quicker (because the learning foundations are firm).

the teacher will find it easier to teach

  • by reminding learners of an example (that the teacher knows the learner "knows" already i.e. has mastered) and showing how what the teacher is going to teach is both similar and different (so the teacher will be able to nudge the learner to attach what they are being taught to a useful place in the learner's memory)
  • the teacher will also be able to look up the learner skills on other topics which mean that the teacher won't be e.g. trying to teach change units when the learner can't yet number x 10 etc and number ÷ 10 etc to the required standard.

the learners will find it easier to learn

  • the learner will feel more comfortable as the teacher is explaining work to them and relating it to things they find "easy",
  • so the learner will be able to give more of their attention to learning and less to worrying about learning/ avoiding shame etc.
  • the learner will not only be able to make links to the maths they have learned before but also to recall the process of successful learning,
  • and so the learner will also have more expectation that with practice they can learn what they are being taught and
  • in having more "hope" the learner will be more willing to put in more effort.