What does a correct answer tell us?
Throughout my work as a psychologist and educator, I became increasingly interested in a distinction that I believe deserves greater attention in schools.
A child may complete an activity successfully, get a good mark, or demonstrate the correct answer.
But what has that child actually learned?
Did the child understand the activity? Could they complete it without help? Would they be able to apply the same ability to another appropriate task?
These questions matter because academic performance and the development of independent capability are not necessarily the same thing.
Assessment provides valuable information. But understanding what that information means requires us to consider the conditions in which the performance occurred.
Completing a task and developing an ability
During the parent-child workshops I ran as a psychologist, I observed how differently adults responded when children ran into difficulty.
Some parents gave their children time to observe, think and attempt the activity.
Others immediately explained what to do, guided each step or gave the answer.
Their intention was to help, and assistance was sometimes necessary.
But I started recognising an important distinction.
A child who completes an activity with substantial guidance may have achieved the task's immediate objective without yet developing the ability to do it on their own.
That does not make the experience a failure. Supported performance can be an important stage in learning. Guidance can help children understand something they could not previously accomplish.
We do, however, need to tell the difference between helping a child produce the correct answer and helping the child acquire the capability that makes the answer possible.
The purpose of educational guidance should include developing what children can eventually accomplish themselves.
Three questions about learning
I find it helpful to distinguish between three aspects of children's performance.
1. What did the child do?
This is the observable result: a completed worksheet, a correct calculation, an essay or an assessment score.
It tells us something about performance under the conditions of that activity.
2. What can the child accomplish with guidance?
This helps us understand how the child responds to instructions, modelling, explanations and other forms of support.
It can reveal emerging capabilities and suggest what the child may be ready to develop next.
3. What can the child demonstrate independently?
This concerns abilities the child can apply without someone else supplying the necessary thinking or directing every step.
The conditions still matter. Independent performance does not mean working without appropriate tools, accessibility adjustments or resources.
It means that the capability being assessed is genuinely demonstrated by the learner.
These three questions are complementary. None should be confused with the others.
What the Bamboo assessments made me question
Between 2016 and 2019, we assessed the Bamboo Mental Maths programme with 10,872 students in Chile and Peru.
The assessments asked children to answer 36 mental calculation questions on their own within two minutes.
I wanted to understand what students could demonstrate without an adult guiding their calculations.
The initial results revealed substantial differences among children, including those in the same school year.
After the structured learning program, many students showed improvements in the number of correct answers.
The individual results were particularly interesting.
Some children made substantial progress but remained within the same performance category.
For example, a child who initially answered no questions correctly and later answered five was still classified as Low.
Yet those additional correct answers represented real, observable progress.
I started questioning whether broad performance categories always gave enough attention to the development taking place within them.
The assessments also raised questions when school professionals examined results from children they knew well.
In one discussion, a child described as having concentration difficulties had correctly answered 25 mental calculations within the two-minute assessment.
That result did not settle whether the child had a concentration difficulty.
But it gave the school team additional information about what the child could demonstrate under those particular conditions.
It encouraged further questions rather than providing a diagnosis or a complete explanation.
The limits of assessment
An assessment is a measurement taken under particular conditions.
A timed mental calculation test can tell us about accuracy and speed on the questions presented. By itself, it does not measure every aspect of mathematical understanding.
Likewise, an independently completed exercise does not guarantee that a capability will be retained or applied in every situation.
Children's performance can be affected by unfamiliar instructions, emotional state, language, fatigue, accessibility and the demands of the activity.
This is why I believe assessments should help us investigate learning rather than simply classify children.
When a child performs poorly, we should not immediately conclude that the child lacks the potential to develop the ability.
Equally, when a child performs well with extensive help, we should be careful not to assume that independent mastery has been established.
What a child demonstrates today helps us understand their current performance. It should not be treated as the limit of what they can develop tomorrow.
Assistance should develop capability, not permanent dependence
Children need support to learn.
Teachers explain, demonstrate, ask questions, organise activities and give feedback. Specialists recommend strategies and adjustments. Families encourage children and help them practise.
These contributions are valuable.
The question is whether the assistance creates opportunities for the child to become increasingly capable.
Sometimes the next step is to provide additional guidance.
At other times, the child may need a chance to attempt the activity without an adult stepping in straight away.
This requires judgement.
We should also recognise that independence does not mean removing necessary accommodations or expecting every child to work in exactly the same way.
A child using accessible materials, assistive technology or appropriate adaptations may be demonstrating genuine independence through those supports.
The objective is not to eliminate assistance across the board. It is to tell the difference between support that helps the learner develop a capability and support that unintentionally substitutes an adult's thinking for the child's.
What should schools look for?
When considering academic progress, I believe we should examine more than the final mark or completed activity.
We might ask:
Under what conditions did the child complete the work?
What instructions, prompts, adaptations or assistance were provided?
Which parts could the child complete without someone directing the answer?
Can the child apply the ability to a comparable, appropriately accessible activity?
Is the child becoming less dependent on unnecessary prompting?
What progress has happened since the child's own starting point?
What additional learning or practice would help the capability become more reliable?
Recording the conditions of performance can help teachers interpret results more meaningfully.
It can also prevent us from overlooking progress that is not immediately visible in marks or broad assessment categories.
Rethinking educational success
I believe academic achievement is important.
Children need to develop knowledge and skills, and schools need ways of understanding their progress.
But successful education should involve more than completing tasks and getting satisfactory results.
It should also develop the capabilities children need to think, respond, solve problems and continue learning with increasing independence.
An appropriate assessment helps us recognise what has been achieved.
A well-designed learning experience helps us consider what can develop next.
We need both.
A completed task tells us what was produced. Understanding how it was completed helps us recognise what the child has actually learned to do.
And perhaps the most important educational question is not simply whether a child can get the correct answer today, but whether we are helping that child develop the capability to succeed more independently in the future.
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