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titleFuture improvements

At the moment we only do a 2 round pre assess - ideally in some circumstances, some learners will do a third round. We hope, in the future, to

  • ask fewer unnecessary questions on scaffolding layers within the pre assess process.

  • use A.I. based on our data analysis to decide what, if anything, to ask in the third round.

(2) teach 1 layer per learner per topic per curriculum spiral

Summary: Learners are more likely to be able to build an accurate chunk in long term memory, during the night after the lesson, if we teach them one small bite - a timely practice layer - rather than if we teach them a “too large for the learner” bite i.e. several layers. Since the teaching and subsequent practice of a layer takes between 10 to 30 minutes, often there will be time to teach more than one topic per lesson, so the class will more quickly spiral through the curriculum, each time teaching a small bite more on firm learning foundations.

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titleResearch please follow the links below if your are curious to know more
  1. Mastery learning: ensuring that learners can use and apply pre-requisite skills to a high standard before learning new work. Mastery Learning is associated with an additional five months’ progress over the course of a school year compared to traditional approaches.

  2. Chunk-based learning: this branch of theory came about from studying how experts practise and structure their learning. We are all limited to 4 ± 1 slots in our working memory. However if we can form a process into a chunk in long term memory, we reduce the number of slots required in working memory. The chunk replaces some of the working memory requirements. The chunk makes it easier to decide which process to use, remember the order of the steps of the process and makes it easier to apply the process. The power of chunks is that we can create chunks of chunks etc. Chunk-based theory strongly recommends a number of teaching-learning strategies including a spiral-curriculum and deliberate practice.

  3. Cumulative practice: for what we consider higher order skills, such as generalising and problem solving, research suggests, that when learners are using two different pieces of knowledge/skills/methods to learn a third, the learners are most successful if both the two existing pieces of knowledge/skills/methods are more strongly embedded before the third is learned. 

... taken together imply that it is better, for the low attaining learner, to come back to topics more frequently, but learn less new work each time.  

timely practice doesn't use either of the standard ways to solve the mastery learning problem - what to do when some learners in the class have learned and some have not yet learned - instead we use timely practice to help the learner build a chunk or add to an existing chunk in long term memory, so each learner can learn a little more from a topic, spiral by spiral.

The timely practice app ensures that the practice done within timely practice assignments is deliberate practice. timely practice enables learners to improve their skills by practice and the teacher to use feedback and scaffolding to help the learner when required.

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The practise-learn worksheets are made with cut-off answers, because

  1. Learners will learn better by doing this self assessment, and will have the opportunity to get help if they make mistakes during the lesson.

  2. Teachers should not use their non-contact time assessing the learners' practice questions on the topics of the lesson. That is not a good way to find out if teaching has become learning, although the teacher may spot check during the lesson, to check that the learners are self assessing their work.

We know that

  • end of lesson assessment cannot tell us what we want to know - “has teaching become learning?” - because learning will only be embedded in long term memory in during sleep the night after the lesson - so we will need to ask an assessment question at least one day later

  • learners may learn the skills they were taught without fully completing the practise-learn assignment.

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titleTop Tip 2: only write the assessment outcome: don't give value judgements, don't give hints, don't correct working, don't try and find where or why errors were made

The only exception to this rule, is for example, if the learner makes an error in a complex multistage word problem, the teacher might want to write down the numerical answer (on the learner's page, or on the teacher’s lesson plan page) to save the teacher having to work out the answer to check the learners correction.

If the assessment outcome is a tick or best learned later or run-out-of-time: there is no need for feedback in the next lesson.

If the assessment outcome is feedback on attempt or feedback on blank: then we expect the learner to try and self correct or get peer to peer help or initiate a feedback-dialogue with the teacher, within the rules of the classroom.

By assessing and where necessary, engaging in personalised feedback dialogue in the lesson, we gain multiple advantages:

  1. The teacher is replacing the time and effort they would spend on marking, non-directed time, with only the possibility that they may need to spend directed time, inside of lesson time, on feedback. The teacher need not feel guilty, as not marking + giving feedback in the lesson (if necessary), helps the learner learn better.

  2. The non-directed time spent by the teacher will be less - today - because this kind of assessment is far quicker than marking, and will be less - in the future - because feedback is far more likely to be successful and so similar questions will be asked less frequently and answered more accurately.

  3. The learner has a chance to self correct or self reflect or get peer-to-peer help: so the teacher may not need to spend lesson time giving feedback or failing that, the learner has time to read the question again and will be primed to adjust their chunk or mental schema (Kornell et al 2009) during the feedback-dialogue;

  4. With in-lesson feedback-dialogue the learner is far more likely to engage with the teacher than they are likely to engage with the teacher's marking.

  5. Without marking by the teacher, the teacher and learner can start the feedback-dialogue from a common place.

  6. With in lesson feedback-dialogue the teacher has a chance to learn about learner's past thinking and/or influence the learner's future thinking, more effectively than with marking.

  7. Feedback-dialogue makes excellent, non threatening, feedback for the teacher on fine detail ways to improve future teaching. It allows the teacher to gain decades worth of high quality teaching experience within a much shorter span of time.

  8. Feedback-dialogue provides an opportunity for the teacher to help the learner to better deal with the emotions brought up by errors e.g. to move on from self-criticism or making excuses or blaming others and to help the learner reflect about their question reading or process or problem solving skills i.e. help the learner grow a growth mindset.

  9. Feedback-dialogue is likely to increase the learner's motivation whereas marking is likely to decrease it.

  10. Sometimes during feedback-dialogue the teacher and/or learner will realise that the layer is best learned later - and this is also a productive use of the teachers and learners time - because now they can stop putting their time and effort into making this layer stick and instead put their efforts in to embedding other layers which are far more likely to stick. After all we can’t expect to go from a place where most teaching is forgotten to a place where absolutely all teaching becomes embedded learning. Surely a process where almost all teaching becomes embedded learning should satisfy us - there is no shortage of other layers to teach - before returning, to see if this layer will stick in a few months time.

The main disadvantage (such as it is) is that there is very little in the way of an easy to follow paper trail of the efforts the teacher has put in. There is the record that feedback dialogue has been requested, and possibly the corrected workings by the learner. In future assignments we usually see the learner being able to answer correctly similar questions and there is the record of the subsequent progress on the layer within the timely practice app. If the teacher must be checked up on, then the “checker-upper” must do the work to find out if the teaching is successful or not. This counterposes with a marking trail - where the teacher is doing the work of demonstrating that they have tried - but cannot possibly demonstrate that they have been successful - in embedding the learning.

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The purposes of a cool down are

  1. to embed learning, which may be otherwise asked too late, as it will become overdue within the holiday period - hence often the teacher will create longer or catch up assignments

  2. not to waste time teaching, what we can be almost certain will be forgotten - hence using the rest of lesson time to do activities which aren’t learning new maths content

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titleSuggestions of before a holiday activities
  • a whole class project which uses a mix of maths skills e.g. maths and Islamic art, group problem solving, nRich activities, what would you do with $177 billion dollars? (Jeff Bezos' wealth at the time of writing this), maths investigations, shape puzzles or

  • school required activities such as tests or the requirement for learners to set themselves targets for maths or

  • whole class project which uses fewer/no maths skills e.g. history of mathematics, women mathematicians, mathematics of colonialism, wealth and income distribution, or

  • stick with a timely practice theme: learners compare their timely practice assignments from a term/year ago and now (teachers have reported to us that this results in impressive motivation gains), learners annotate recently learned questions with think aloud speech and thought bubbles.

The teacher can also reserve, topics to teach just prior to a slightly shorter cool down period,

  • e.g. topics which may be easy to learn, but time consuming to develop accuracy e.g. stem and leaf diagrams,

  • e.g. topics which are quick to review e.g. simplify (so the skills can be easily reviewed after the holiday, if learners forget their skills)

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