Ability Quote by William Thurston
“We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.”
About This Quote
Source Lecture: Geometry and the Mind, William Thurston, 1995
Mathematical understanding is enhanced by engaging multiple senses and bodily intuition, not just symbolic manipulation.
In simple terms: Use whole‑mind, for math.
Integrate visual, auditory, and kinesthetic learning in math.
Themes
Mood
Type
When to use this quote
- classroom teaching
- self‑study
- STEM workshops
- creative problem solving
Key Concepts
Questions to Reflect On
- How can you involve your body in solving equations?
- What senses help you grasp abstract ideas?
Relying solely on symbols can limit deep insight.