problem solving

Many parents believe the biggest challenge in mathematics is learning formulas. Many students believe the biggest challenge in programming is learning Python. In reality, neither is usually the main problem. The biggest challenge is learning how to think step by step. This sounds simple. Yet it is one of the most difficult skills a student […]

Many students believe programming errors happen because they do not know enough Python. At first glance, this seems reasonable. A missing bracket causes an error. A misspelled variable causes an error. A forgotten colon causes an error. These are visible mistakes. They are easy to identify. They are easy to fix. But some of the […]

A student looks at a mathematics problem and immediately knows the answer. The formula is familiar. The logic seems obvious. When the teacher asks what should happen next, the student explains it perfectly. Then the student opens Python. Five minutes later, nothing works. This situation is surprisingly common in modern education. Many students understand the […]