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You Can Know the Formula and Still Not Know What Will Happen

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  Physics begins when an equation stops being something you calculate and becomes something you can use to predict reality A formula is not the end of a physical explanation. It is one of the ways we represent the relationship that makes the explanation possible. — Tymur Levitin A student sees: F = ma They know the formula. They can tell you: F means force. m means mass. a means acceleration. Give them two numbers and ask for the third. They calculate correctly. So we conclude: The student understands Newton's second law. Perhaps they do. But try something different. Do not give them numbers. Ask: If the same force acts on a much heavier object, what happens to its acceleration? Now they hesitate. Or ask: Two objects experience the same acceleration. One has twice the mass. Which requires the greater force? Another pause. Or simply: What does F = ma tell us about the physical world? Suddenly a formula the student seemed to know perfectly becomes much hard...
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The Numbers Didn't Change. So Why Did Math Suddenly Become Harder?

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Why a familiar mathematical problem can become a completely different cognitive task when the language changes Mathematics may be universal. Access to mathematics is not. — Tymur Levitin Two plus two is still four. A triangle still has three sides. A percentage does not change because the classroom moved from one country to another. An equation does not become a different equation when it is written in Spanish. So why can a student who was good at mathematics suddenly begin struggling with mathematics in another language? At first, the answer seems obvious. They do not know the vocabulary. And sometimes that is exactly the problem. But not always. Because mathematics is universal only until someone asks a question about it. Then language enters the room. The Equation Survived the Move Imagine a student sees: 2x + 6 = 18 Nothing unusual. They know what to do. Subtract six. Divide by two. Find x. Now write: Resuelve la ecuación 2x + 6 = 18. The mathematics did n...
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You Can Understand the Science and Still Get Lost in the English

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  Why learning chemistry in another language is not the same as learning chemistry again Knowing the science and being able to communicate the science are two different abilities. — Tymur Levitin A student looks at a chemical equation. They recognize it immediately. They understand the reaction. They know what happens and why. Then they look at the English question underneath it. And suddenly the chemistry becomes difficult. Not because the reaction changed. Not because the student forgot chemistry. Not because their scientific reasoning disappeared. The language changed. This distinction seems simple. But it has enormous consequences for students who study chemistry, biochemistry, medicine, pharmacy and other sciences in a language that is not their strongest one. Sometimes the problem is chemistry. Sometimes the problem is English. And sometimes the real difficulty is the bridge between them. The Formula May Be Familiar. The Question May Not Be. Scientific no...
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