How close can two numbers be before they blur?
What matters isn't the difference between the two clouds but their ratio: 10 against 20 is as easy as 20 against 40. Your accuracy at each ratio gives your Weber fraction, a standard measure of number sense.
Ratio, not difference
The approximate number system works like other senses: the bigger the amounts, the bigger the gap you need to tell them apart. That's Weber's law, first described for weights in the 1830s.
Sensing quantity at a glance
Dot-comparison tasks measure the approximate number system: the fast, inexact sense of 'how many' that babies, adults and many animals share. It works without counting, and its precision is summarised by the Weber fraction.
Pick a moment to see what's going on
Tap a situation to see which part of the skill it relies on.
The brain areas doing the work
Step through each area, or tap one below. The matching marker grows on the brain; dashed markers sit deep inside.
From gut feel to exact numbers
Estimation is fast and rough. These games move towards precise, quick processing of numbers and symbols.