Chapter 5: Mathematics as a Visual Experience


Deliberate practice is crucial for developing mental representations and providing opportunities for students to struggle. Mental representations, supported by neuroscience, are enhanced through visual and physical mathematical representations. Techniques like "groupitizing" and finger perception are strong predictors of future math achievement, even more so than early test scores. 

It's vital for students to experience numbers in various ways, such as visually, physically, and playfully. For example, asking students to design a foot parade for addition or using area models for multiplication fosters engagement and understanding. Teaching algorithms too early can hinder students' ability to think flexibly, a phenomenon known as cognitive interference. Starting lessons with visual prompts encourages diverse ideas and open discussions, promoting a more inclusive and dynamic learning environment.

Key Math-ish Principle(s): 

Utilizing a visual and physical approach to math.

The importance of connected and flexible knowledge.

Key Ideas/Themes:

Reflection Questions:

After reading this chapter reflect on the following questions. Think about: