Learning aim
Compare two quantities and explain which is greater. The aim stays fixed as different routes are considered.
07 / Anatomy of a learning experience
What helps the learning aim survive a change of approach?
Inspect the task, representation, language, response and setting.
Separate the learning aim from the route offered for participation.
The complete lesson outline.
Learning aim
Compare two quantities and explain which is greater. The aim stays fixed as different routes are considered.
Instructions
Present one clear step at a time: make the collections, compare them, then show or explain the comparison.
Representation
Place numerals beside counters or arranged groups. Ask how each representation shows the same quantity.
Language
Use familiar wording and discuss the meaning of “more”, “fewer” and “equal”. Consult reviewed terminology when working across languages.
Response options
Invite a spoken explanation, pointing, matching or arranging objects where that still demonstrates the comparison.
Environment
Consider the position of materials and display, unnecessary distractions and the space needed to take part.
Support
Ask the learner what helps and consider which changes are possible within the task and which need coordinated support.
Observation
Look for evidence of the comparison and the learner’s explanation. Do not infer a diagnosis from a response to this activity.
This layer structure is an original website design for a fictional lesson. It is not a named framework attributed to Dr Sako.
Keep the relationship in view.
Aim: compare two quantities. Change the representation from numerals alone to counters and numerals, while preserving the comparison.
Prepare for the exploration.
Begin with the stated example. Connect the controls to the representation and explanation; ask what changed and what stayed the same.
Use the representation thoughtfully.
The model is an explanatory aid. It does not assess a learner or establish that a teaching approach will suit every situation.
Connected to practice.
This fictional activity relates to the wider theme of participation in education. It is separate from participant material and from the model proposed in the doctoral thesis.
Explore the relevant professional work