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The timely practice app was designed to allow the teacher to far more easily apply research backed , best practice, to make teaching more likely to become the task of

increasing the likelihood that teaching becomes embedded learning for low attaining and under achieving learners.

In the main it isn’t that teachers don’t know what works, its that without a tool like timely practice, best practice is too time consuming for teachers to apply.

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Effective pre assess, finding out what learners "already know" means we can make best use of lesson time. We won't teach learners what they "already know", nor attempt to teach them work for which they don't have sufficiently firm learning foundations; , instead we can teach in the "sweet spot" between. So teaching and learning become more efficient , i.e. we can increase the output (retained learning) per hour (of lesson time).

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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 usually takes between 10 and 25 minutes, there will often be time to teach more than one topic per lesson, so the class can more quickly spiral through the curriculum if we use spare time to teach 1 small bite from 2 topics rather than 2 small bites from the same topic. In each spiral the teacher teaches less on a topic at one time but teaches many topics several times a year. IN In each curriculum spiral most learners learn a small bite more on their firm learning foundations.

Avoiding pitfalls: Learners with smaller working memories are vulnerable to a double whammy

Learners with smaller working memory capacities are less likely to build chunks in long-term memory after the lesson than their peers.

Learners with smaller working memory capacities are more dependent on chunks in long-term memory to process the content of lessons than their peers.

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Every time we help ensure a learner

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create a chunk in long term memory from the learning of the lesson - when they otherwise would create no chunk or create an imperfect chunk - we are ensuring the learner will make more progress when they otherwise would.

If you are not convinced about limiting what the amount taught per topic per spiral - why not just give it a go - with a class of learners who you don’t expect to retain most of what you are “expected to teach” and see how it works out? In our development of timely practice and our training of teachers we have found that changing from an annual (depth-first) to a more tightly spiralled (breadth-first) scheme of learning is the hardest of the changes for teachers to take on. We accept that some schools would prefer to use timely practice without doing this - however our experience is that this significantly dilutes learning gain. For these schools we offer trials where they can measure and compare gains in embedded learning.

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The following sections describe in more detail

(3) learners (not teachers) mark the learners' practise-learn worksheets

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  1. Learners will learn better by doing this self assessment, and will have the opportunity to get help during the lesson, if they make have made 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 . The teacher may spot check during the lesson, to check that the learners are self assessing their work.

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  • 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,

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

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(4) teachers assess (but don’t mark) the timely practice assignments

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titleAssessment is about improving future learning, whereas marking may have

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different purposes

The purpose of marking may be thought to be

  • To make sure there are no remaining written errors on the page: the reason might be that then the learner can revise from their exercise books. This is not a good use of time, because we want learning to be improved soon, rather than hope learners will return and revise at a later date.

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  • To give hints or clues or model answers to help the learner. However the teacher must guess what the learner was thinking/ not thinking when the learner made their error(s)

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  • . This is not a good use of time because often the teacher will guess wrong, or the learner won’t read, or understand if they do read, what the teacher has written.

  • The teacher gives value judgements in the hope of changing learners effort/motivation in lessons. This is not a good use of time, because value judgements, even positive ones, may decrease rather than increase the likelihood of learners learning from suggestions and the learners motivation.

  • A repetition of all or part of the original teaching. This is not a good use of time, because if the teaching of the lesson, didn’t lead to embedded learning, the teachers explanation - which is necessarily less detailed and can’t involve assessment for learning, as the lesson could - is less likely to lead to embedded learning.

Although each outcome of marking may sometimes be effective, the probability that any of these will be effective at embedding learning is low, and the cost to the teacher is high.

If the learner is not able to teacher finds, when assessing an assignment, that a learner is unable to independently and accurately answer a question, and the teacher needs decides to give feedback the next lesson, then giving this feedback-dialogue in the classroom rather than some form of marking has multiple benefits over marking (These are described in Top Tip 2).

The assessment outcome for each question should be communicated to the learner and the app. The most efficient way to do this is

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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 reset: 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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  • Learners review the teacher’s assessment of their last lesson’s assignment and

    • self correct when they can and

    • get personalised feedback when they need it.

  • The teacher has far more time to give personalised feedback to learners because

    • learners are independently engaged in completing their new assignment which

    • efficiently schedules retrieval practice questions which

    • embeds all prior learning ever more deeply into long term memory.

These “jobs” ensure that the new learning done in the remainder of the each lesson becomes firm foundations for future learning, rather than soon forgotten.

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The primary task is embedding learning and the secondary task is giving feedback.

To do a “timely practice assignment” episode in a lesson the teacher will:

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The teacher may want to display the following on the whiteboard/a poster for

  • the learners and

  • to share with teaching assistants and other adults visiting the classroom.

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Discourage learners from working out a score for their assessed assignment (its not written in the poster above, because that might be counterproductive!). It is better to concentrate on feedback, and judge oneself on progress. We know that when a learner gets only feedback they pay better attention to the feedback than when they get a score and feedback.

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to the feedback than when they get a score and feedback.

(6) get the most from feedback by remembering it's better called feedback-dialogue

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Every time we help a learner fix a chunk in long term memory - when they otherwise would be left having learned no chunk or an imperfect chunk - we are ensuring the learner will make more progress when they otherwise would.

Feedback should be done after some teaching has become embedded learning, so sometimes reteaching - especially after a long gap between lessons - will be more efficient than giving feedback. If the long gap between lessons can be foreseen, consider planning a cooldown.

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and the answer to this question depends more on the learning context (see the Top Tips below)

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titleTop Tips for deciding between a feedback assessment outcome and best learned later
  • use the layer history to decide, how frequently has the learner needed feedback? - usually 2 feedbacks in a row is enough, this isn’t available yet

  • if the feedback isn’t going well, the teacher and learner are likely to remember the previous feedback-dialogue and they should both be honest about whether the feedback is working,

  • does the learner still have some motivation for the feedback process?

  • the more feedback assessments per assignment, the less likely each is to result in embedded learning - usually 3 feedbacks per assignment is enough

  • the decision to give feedback or decide a layer is best learned later needs to made within the context

  • e.g. the number of learners in the class/group - a tutor with fewer learners in their group, might give choose feedback whereas a teacher with a larger class might choose best learned later

  • the decision to give feedback or decide a layer is best learned later needs to made within the context e.g. the amount of time until the next school holiday - if there is only 2 days before a 2 week holiday, then the learner is unlikely to retain the benefits of feedback - this is issue can be in part dealt with by us of a cool down period, see https://timelypractice.atlassian.net/wiki/spaces/CKB/pages/3110699106/Best+practice#(10)-schedule-a-cool-down-before-each-holiday

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titleWhy doesn’t timely practice collect full information on each learner in each topic?

Mainly because it would take too long and it would be too traumatic for many learners - who have low self esteem in terms of their maths learning.

We ask questions on a few key layers of a topic - which gives us a broad brush stroke picture of the learner’s skills and learning gaps - which are at an appropriate level for the learner. We know that quite often asking one question on a layer is insufficient to find if a layer is secure or not, so we always ask a second question if the learner seems to know the first. The assessment of the key layers is then used to gather more assessment for learning data in finer detail.

See auto pre assess for more detailed information

(9) … then plan the teaching and learning activities of the lesson

Rather than aim for “rapid progress” every lesson what we need is to aim for “sustained progress” every lesson.

Without ensuring that new learning is durably embedded in long term memory “lots of learning” quickly becomes “lots of forgetting”. The timely practice assignment episode does this job, so it should be part of every lesson.

A lesson might be made up of e.g.

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Usually the teacher’s best use of the timely practice assignment episode is giving feedback rather than teaching (as described in https://timelypractice.atlassian.net/wiki/spaces/CKB/pages/3110699106/Best+practice#(5)-schedule-a-%E2%80%9Ctimely-practice-assignment%E2%80%9D-episode-every-lesson). However the teacher can interleave timely practice with teaching e.g. if only one learner must learn layer 6 and all the other learners layer 2 or 3, the teacher might teach layer 6 to the learner, whilst the rest of the class “for the next 3 minutes: begin your (silent) do now: look at your assessed assignment and begin your new assignment”.

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titleMore sophisticated teach-learn options are not necessary

The teach-learn part of most lessons rarely holds low prior attainment learners back, but trying to practise too much or too hard in the practise-learn part of the lesson or failing to make efforts to embed new learning regularly does.

In whole class teaching, learners with low prior attainment can often answer questions from harder layers, but

  • being able to answer in the scaffolded situation of whole class teaching, following on from reminders about their current learning and after a small bite of new learning, and

  • being able to retain and answer such questions later is more difficult, it’s . It’s easy to be deceived that learning performance results in embedded learning. One timely practice experienced teacher describes this effect as “hurrah, they’ve got”, the teacher will want to move on, but recommends not doing this , instead “just stop”.

See https://timelypractice.atlassian.net/wiki/spaces/CKB/pages/3110699106/Best+practice#(1)-teach-on-firm-learning-foundations and remember the subsequent layer isn’t on firm learning foundations.

The teachers task with a timely practice scheme of learning is to

so that new learning quickly embeds. There is usually sufficient time within an academic year to spiral through most of the topics within the scheme of learning several times.

Getting practise-learn and retrieval practice “more right” will lead to large learning gains, without the more sophisticated options suggested below.

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titleTeachers can experiment with these suggestions, once they have got themselves and the class used to teaching in the timely practice way.
  • With mini white boards/scraps of paper and large felts: ask learners to work out 1 or 2 or all of a few questions (each from a different layer) shown on the whiteboard e.g. 50% of £26 = … and/or 75% of £26 = … and/or 5% of £26 = …

  • With a no hands up policy, after a sufficient pause, direct questions to specific learners e.g. with a layer 3 practice question, ask a learner who is learning layer 3 now, but with a how/why question on layer 3 question ask a learner who is learning layer 5.

  • When teaching layer 1 of a topic to a few learners when the rest of the class has already mastered it (and possibly higher layers too): introduce the topic, ask some learners to “have a go at a the review question questions on your desk aiming for accuracy, whilst I work with a small group. Then we’ll come back together, in a few minutes, to see who has been 100% accurate”. This stops the masked-fidget from learners who “already know” when the teacher is teaching slowly to those who are being introduced to the topic, yet learners who “already know” the skill are still primed for learning harder layers from the topic.

  • Learners who only needed to learn the easiest layer being taught from a topic might be directed “If I’ve given you a practise-learn worksheet, you can ignore me and do the worksheet, while I teach everyone else something new-for-them” and then quickly follow up with “OK, if you don’t have a practise-learn worksheet I want your full attention now”

  • Another alternative, e.g. with solve is showing “a harder skill” is to to model “the hardest skill” {begin the problem} and then explain that “the next bit most of you can do” {intermediate stage} and finally “everybody can now solve this part” {final stage}.

  • Another alternative e.g. with proportionalFormulaNC after a little whole class teaching is to issue some learners with calculators or times table grids saying “what I’ll be teaching now has harder numeracy skills, but not harder mathematical skills, so some of you are allowed to use a calculator and some a times table grid.”

  • Teach several similar layers together as a whole class, e.g. layers 2 to 4, but if one or two learners are learning an outlier harder skill e.g. layer 7, then teach them at their desks or a flip chart, whilst other learners are doing their practise-learn worksheets. This can be done by organising a few learners to hand out the correct practise-learn worksheets to most learners, whilst you get the learners learning the harder layer together and reading the teach-learn questions you plan to use. Then once every learner has started their practise-learn worksheets, teach the small group the harder skill.

  • Obviously, if you have teaching assistants, you can teach 2 or more groups exactly what they need to learn simultaneously.

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It’s essential that learners follow up the teach-learn on a layer with independently answering the questions within the correct practise-learn worksheet (or a similar alternative). However sometimes the practise-learn worksheet questions from the second topic may be need to be deferred until the next lesson, in which case defer adding the layer as taught (via Edit Teaching) until the next lesson too. So sometimes a lesson might be made up of

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To help get the class together again e.g. in order to move on to teach a second topic - , have some activities which can fill up to 5 minutes, but which won’t move the learner on in learning the topics that are being taught in the lesson.

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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 school requirement for learners to set themselves targets for maths etc 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

  • review timely practice for the past term/year: 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), or

  • 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 such as frequencyGraphs or stemLeaf,

  • e.g. topics which are quick to review e.g. simplify or solvingReady (it’s quick to review these skills, one question from each layer is usually sufficient).

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