What is a key part of developing the mathematical process in children?

Developing the mathematical process in children involves engaging them in a way that encourages exploration, creativity, and problem-solving. Focusing on invention, inefficiency, and error allows children to understand that mathematics is not just about getting the right answer but also about the journey taken to arrive at that answer.

When children are allowed to make mistakes and experience inefficiencies in their problem-solving approaches, they develop critical thinking skills. They learn to analyze their thought processes, revisit their strategies, and refine their methods. This learning approach fosters a growth mindset, where children understand that errors are a natural and essential part of learning mathematics.

Moreover, encouraging invention means that children are empowered to create their own strategies and methods for solving problems, which can lead to deeper conceptual understanding. This process-oriented approach aligns with contemporary educational practices that emphasize student-centered learning and the development of a mathematical identity, enabling children to see themselves as competent mathematicians.