LEARNING IS NOT LINEAR

I want you to think back to a time when you were in school.

It could have been an English lesson, a history lesson, a maths lesson—any classroom where you sat, listening, trying to follow what was being taught.

The teacher begins explaining something, then pauses briefly and says:

“You should remember this from last lesson.”

And in that moment, something shifts.

You search your memory. Nothing.

Not just uncertainty, but a blank space where something is supposed to be. You glance around, subtly, trying to gauge whether it is just you. But others are nodding—or at least, they appear to be. So, you nod too.

Not in understanding—but in compliance.

Because to admit you do not remember is to expose yourself. To fall behind. To interrupt the flow of the lesson. And so the class moves forward, built upon something that, for you, does not exist.

The teacher continues, layering new material onto what is assumed to be known. But what is assumed is not always real.

In that moment, the goal quietly shifts. It is no longer to understand, but to appear as though you do.

I have certainly been in that position. As have so many of my pupils.

And if you are honest, you probably have too.

This moment reveals something rarely acknowledged: the education system often assumes that learning happens the first time something is taught—that once exposed to information, it is understood, retained, and ready to be used again.

It is a convenient assumption.

It is also, fundamentally, mistaken.

There is a quiet belief embedded within education that learning unfolds in a straight line: that knowledge moves steadily from ignorance to understanding, from exposure to retention, from lesson to mastery.

Schools are structured around this belief. Content is sequenced, objectives are ticked, and progress is measured as though the mind advances in orderly steps. A concept is taught, briefly revisited, and then expected to remain available for future use, as if learning were a matter of storage rather than transformation.

But learning does not proceed in a straight line.

It loops, falters, regresses, and reconstructs. It is not a progression but a recursion—a process that returns to itself repeatedly, each time altered by what has been encountered before. What appears from the outside as inconsistency is, from within, the very mechanism of understanding.

To learn is not to receive knowledge, but to build it.

This insight sits at the heart of the constructivist tradition, most notably articulated by Jean Piaget, who argued that knowledge is not passively absorbed but actively constructed through interaction with the world. The learner does not simply take in information; they reorganise their internal structures in response to it. Each new idea must find its place within what is already known—and when it does not fit, something must change.

That change is rarely smooth.

It is here that error reveals its true function. In most educational settings, mistakes are treated as deviations from the path—as failures to arrive at the correct answer. Yet this interpretation misunderstands their role. Error is not incidental to learning; it is instrumental.

From the perspective of cognitive science, the brain is an organ of prediction. It continuously anticipates outcomes and adjusts when those predictions fail. These moments of failure—when expectation and reality diverge—are not breakdowns in learning, but the very points at which learning occurs. The mind updates itself through discrepancy.

To be wrong, then, is not to fall behind. It is to encounter the conditions necessary for change.

This idea finds empirical support in the work of Robert Bjork, whose concept of desirable difficulties suggests that learning is strengthened, not weakened, by effort and struggle. When the process is made too smooth—when information is easily absorbed and immediately accessible—it often fails to endure. What is acquired without resistance is rarely retained with strength.

The implication is uncomfortable: the conditions that feel most like learning—clarity, fluency, ease—are often the least reliable indicators that learning has taken place.

What, then, is learning meant to be?

It is best understood as a process of guided trial and error. Not random, not chaotic, but structured in such a way that the learner is brought repeatedly to the edge of their current understanding. This is what Lev Vygotsky described as the Zone of Proximal Development—the space in which a task is just beyond independent reach, yet attainable with guidance. It is here, in this tension between competence and confusion, that development occurs.

Too far below this threshold, and there is no need to think.

Too far above it, and thinking collapses into frustration.

But within it, the learner is forced to engage—to attempt, to fail, to adjust, and to try again.

This cycle is not linear.

It is iterative.

And within this iteration lies a crucial distinction—one that is often overlooked but carries significant consequence: the difference between finding an answer and deriving it.

A found answer is given. It appears complete, detached from the process that produced it. It can be repeated but not necessarily understood. It is vulnerable to forgetting because it was never fully integrated.

A derived answer, by contrast, is constructed. It emerges from a sequence of attempts, errors, and refinements. It is not merely known; it is earned. The learner does not simply arrive at it—they build the pathway that leads to it. And in doing so, they embed not only the answer itself, but the structure of reasoning that supports it.

What is derived becomes part of the thinker.

What is found often remains external.

This distinction exposes a deeper tension within education. If learning is truly recursive, error-driven, and constructed, then a system organised around linear delivery is misaligned with the very process it seeks to cultivate. To teach as though knowledge can be transferred cleanly from one mind to another is to ignore the complexity of how understanding forms.

Even the phenomenon of forgetting, often seen as an obstacle, reinforces this point. The work of Hermann Ebbinghaus demonstrated that memory decays rapidly without reinforcement. What is learned once is rarely retained. Yet this is not simply a limitation of memory; it is a feature of learning. Each act of retrieval—each return to a previously encountered idea—requires reconstruction. And it is through this reconstruction that knowledge is strengthened.

Learning, then, is not what happens at the moment of exposure.

It is what happens in the repeated return.

To revisit is not to repeat. It is to rebuild.

Seen in this light, the linear model begins to appear not only inadequate, but misleading. It privileges coverage over comprehension, progression over depth, and correctness over process. It measures success by how quickly an answer is reached, rather than how thoroughly it is understood.

But understanding is not fast.

It is slow, uneven, and often uncomfortable. It requires the learner to dwell in uncertainty, to confront error without immediate resolution, and to tolerate the instability that comes before clarity. It demands not just memory, but transformation.

And transformation does not occur in straight lines.

It circles. It returns. It deepens.

To recognise this is not merely to adjust teaching methods; it is to rethink the nature of learning itself. It is to move away from the illusion of linear progress and toward a more honest account—one that acknowledges the role of error, the necessity of struggle, and the power of construction.

Learning is not the movement from A to B.

It is the repeated reworking of A until B becomes possible.

Zeshan Aslam: I am an aspiring author exploring the intersections of morality, consciousness, and the quiet tensions of modern life. I am currently working on my book ‘Contemplations: Reflections for an Uneasy Age’, a collection of essays that blends philosophy with personal reflection. With a background in education and psychology, my writing often turns toward the inner landscapes of thought, doubt, and character. I draw inspiration from classical philosophers, contemporary neuroscience, and the struggle to live with integrity in an increasingly chaotic world. My aim is to give readers clarity and depth, while awakening a renewed spirit of questioning and reasoning. zeshan-aslam@outlook.com