Exploring and Noticing is part of our Thinking Mathematically collection.
Mathematicians take great pleasure in being challenged by a problem they don't immediately know how to solve, and are excited by exploring a mathematical idea or question for the first time. They will often play with ideas, try some examples and test different approaches. Along the way, they look out for patterns and structure that might move their thinking forwards, and try to make connections with what they already know.
These problems are ideal for encouraging you to explore and build on your discoveries.
