If you’ve ever gone hiking and reached a fork in the trail, you may be confronted with two triangles: one pointing right, one pointing left.
You know the direction they’re pointing has meaning, but at the same time, you know these are two of the same shapes, rotated to signify direction.
“By studying adults with informal geometry education alongside adults who formalize geometry education (like in the US), and children and monkeys, we could ask which aspects of geometric reasoning emerge naturally and which are strengthened specifically through education,” developmental neuroscientist Jessica Cantlon told ScienceAlert.
Monkeys may not have the same symbolic understanding of geometric shapes that we do, but their ability to recognize rotated triangles, rectangles, trapezoids, and others in a line-up is pretty much on par with untrained human minds.
Participants of all ages and species were required to complete a matching task using a touchscreen. The goal was to find pairs of shapes with the same geometry (e.g., two right-angled triangles) that might be rotated slightly differently or scaled to different sizes, among a jumble of geometric shapes
Participants received little instruction about the task and were told to ‘figure it out’ by trial and error.
Correct answers elicited a positive ‘bing’ sound, with the primates and children being given a reward. In the monkey’s case, this was a cereal pellet; for the kids, a sticker.
Indeed, analysis of the data showed that children and monkeys tended to rely more on intuitive processing, while adults leaned more heavily on the symbolic approach, unconsciously abstracting the core geometric rules that define similar shapes.
“Our study shows that formal education strengthens symbolic geometric representation but that there are already abstract geometric intuitions in humans – intuitions about metric properties and angles – that are shared with other primates,” Cantlon said.
“Rather than creating mathematical thinking from scratch, schooling may refine and extend ancient cognitive abilities that evolution has been shaping for millions of years.
The research was published in Proceedings of the National Academy of Sciences.