© 2024 Christopher Attar. All rights reserved.

Learn in Reverse

We’re usually taught to learn things from the ground up—A, B, C before sentences, 1, 2, 3 before equations. It’s logical. You can’t understand complex topics without first mastering the basics. And in many cases, that’s the best way to learn. But sometimes, especially if you already have some familiarity with a subject, a top-down approach—learning in reverse—can be surprisingly effective.

At first, it seems counterintuitive to dive into higher-level concepts before fully grasping the technical details. But starting with the big picture can give you an overview of the challenges in a field and a clearer sense of where you’re headed. It also helps you connect different knowledge areas in ways that might not be obvious when you’re stuck working through the fundamentals in isolation.

Think about tackling a difficult concept. Instead of starting from square one, jump straight to the end goal—what is it you ultimately want to understand? Gather broad overviews of the topic, even if you don’t fully grasp the technical details yet. This is where summaries, diagrams, and visual explanations come in handy. You’re not looking for precision at this stage; you’re looking for patterns. Recognizing those patterns can help build an intuitive sense of how things fit together.

Often, when learning traditionally, we struggle to develop intuition because everything feels disconnected. You follow formulas, memorize algorithms, but don’t necessarily see the bigger picture. Working backwards, though, forces the details to fall into place naturally. Maybe you need to understand vectors and matrices to make sense of coordinate transformations. Or perhaps grasping coordinate transformations helps explain why gravity bends space and time. The pieces start fitting together in a way that feels more organic.

One of the best ways to structure this kind of learning process is through mind mapping. When dealing with a complex subject, our brains tend to struggle with purely linear learning. A mind map acts like a visual roadmap, showing how concepts interconnect rather than existing in isolation. By mapping out the major ideas first—what you’re ultimately trying to understand—you create a framework to fit the smaller, more technical details into later.

A mind map helps you:

  • See connections between topics that might not be obvious when learning step by step.
  • Break down complexity into smaller, more digestible parts.
  • Engage with learning more actively by visually organizing information instead of just passively reading.
  • Adapt your learning as you gain new insights—rearranging branches and adding new connections.
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It’s especially useful for reverse learning because it allows you to start with the core concept and work backward, identifying what knowledge gaps need to be filled in along the way. You might begin with a broad topic—like machine learning—and branch out into neural networks, tensors, and gradient descent. Then, you can further break those down into the underlying math, specific algorithms, and real-world applications.

Interactive models and visual tools online can be incredibly helpful for building this kind of understanding. And, of course, Wikipedia is one of the best resources we have—it’s an incredible way to absorb broad concepts quickly before diving deeper.

In reality, we learn a lot of things this way without realizing it. When you play a new sport, you often start by watching professionals before you fully understand the mechanics. When you learn a language, you might be exposed to sentences and phrases long before you break them down grammatically. Sometimes, starting at the end and working backward makes learning feel less like climbing a steep hill and more like following a trail of clues to uncover the bigger picture.