Cognitive Learning tells us to clean up our ‘Explicit Instruction Act’
You may already be familiar with the three inner dimensions of the brain’s working memory; the intrinsic load, the extraneous load, and the germane load. Out of all of them, the extraneous load appears to be the simplest one to ‘get right’. It is to do with the instructional design of the learning episode, i.e. what you as teacher choose to present to learners. In that sense, you have more control over it than the actual content/nature/subject of the ‘curriculum moment’ and the wiring already present in the learner’s brain as they walk through the door. Generally, the extraneous load is thought of in terms of the medium you use to present your teacher input.
The most basic message is ‘don’t provide busy PowerPoint slides’, but the overarching CLT truth is that anything that occupies the brain’s working memory (that is not an integral part of the teaching/learning process) is taking away precious focus. If we look particularly at explicit instruction for primary school mathematics we see that there are more extraneous load factors to consider than just busy slides and making sure the window cleaner doesn’t suddenly appear just as the kids are hanging on your every word and are about to ‘get it’!
Here are three factors to consider that are not part of the physical distracting ‘stuff’ but are more closely linked to the approach to teaching maths that the school has taken for whatever reason:
There is the issue of context. I discourage the approach that automatically places the teaching of a new basic skill for maths in a ‘problem solving’ context. This overemphasis on an inquiry-based approach is not explicit instruction and does not sit with CLT principles (read more here). If we are about to secure a new step of numeracy progression in Fractions, for example, then the explicit instruction does not need to be hijacked by a context of 3 friends (sometimes with unusual names that add to the distraction) all buying long sandwiches from a well known fast-food sandwich shop and having to divide the sandwiches up. Thoughts of which sandwich fillings and how they are going to cut them may appear to be engaging and meaningful but they are taking up valuable and severely limited working memory capacity.
Hence, such contexts need to be thought through very carefully. Is the trade-off of increase in extraneous load worth the engagement? However, if we take such problem-solving contexts out of the explicit instruction then we can secure the concept and skill of the new learning with more germane load available and then we can gradually introduce more challenging contexts to apply the skill to.
We are heading to the same problem-solving sandwich shop context, but we will get there quicker, with more pupils still with us and with greater confidence, than if we start with the context.
Asking novice learners for their ideas that are made up on the spot can accept, encourage and value inefficiency. It certainly does not follow the principles of Cognitive Load theory. It would be damaging enough to the extraneous load if it was our own multiple new methods that we were presenting simultaneously, but to actually discuss methods created (and presented!) by novice peers on the spot…!
There is the issue of manipulatives/concrete resources. I discourage the approach that automatically tells teachers to use practical mathematical resources when teaching new calculation skills. Again, there are times when this is an essential part of the new content, but clearly it depends. However, some approaches to primary maths say that because mathematical conceptual progression happens through the broad phases of ‘concrete-pictorial-abstract’ (CPA) that this must dictate every lesson must follow this flow.
This does not make sense. For example, if a child is learning to calculate ‘2 digit add 2 digit’ (see my blogs Using CLT to Crack Addition: Parts 1, 2 and 3) for the very first time in their lives, then it might seem fitting for them to set it out with apparatus (e.g. denes). However, you will notice in the blogs mentioned that I emphasised that the child is already completely fluent with the pre-requisite skills. This is an important aspect of CLT.
This ‘complete fluency’ means the learner already has a backstory of understanding held in a schema in their LTM that includes feeling and seeing the numbers as well as writing out the operations involved. So, just continuing the example, if we have designed a whole-school numeracy journey on the principles of CLT then learners hitting the ‘beautiful moment’ of ‘2 digit add 2 digit’ for the first time have already fully explored and understood (through CPA) the first three stages of the build-up to this calculation shown below; Counting; Number Facts; Using Number Facts; as well as partitioning and recombining a 2 digit number.
This all means that explicit instruction is free of unnecessary visual input (not just in terms of busy PowerPoint slides but images of the concept).
Furthermore, we can and should, connect the ‘2 digit add 2 digit’ skill back into different visual representations (e.g. bar model, 100 square, Numicon, Denes etc.) afterward as part of the deepening process that we will go through in order to move the learning into the LTM (see my blog ‘The Making it Stick Stick’). My main point is that any blanket ruling to involve concrete and visual resources in the explicit instruction needs to be surrendered to a thoughtful position, especially in light of the need to reduce the extraneous load on the precious capacity of the working memory.