Exploring and Noticing is part of our Developing Mathematical Thinking collection.
In Developing Mathematical Thinking - Exploring and Noticing, we offer you advice on how to provide opportunities for students to explore and reflect on what they notice.
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.
How do we ensure our students appreciate the value of exploring and noticing?
These problems are ideal for encouraging your students to explore, and build on their discoveries.