I don't like to use really extended quotes, but here I think I must. This is an article from the Max Plank Institute in full.
Children use space to think about time
Space and time are intertwined in our thoughts, as they are in the physical world. For centuries, philosophers have debated exactly how these dimensions are related in the human mind. According to a paper to appear in the April, 2010 issue of Cognitive Science, children’s ability to understand time is inseparable from their understanding of space.
When asked to judge distance, children had no trouble ignoring time. But when asked to judge time, they had difficulty ignoring the spatial dimension of the event. Snails that moved a longer distance were mistakenly judged to have traveled for a longer time. Children use physical distance to measure of the passage of time.
Time in language and mind
When English speakers talk about time, they can hardly avoid using spatial words. They hope for short meetings and long vacations. Was children’s confusion the result of using words that have both spatial and temporal meanings? Importantly, this study was conducted in Greek-speaking children. Greek tends to use a different kind of spatial vocabulary for time, describing time as accumulating in 3-dimensional space, rather than extending in linear space. In Greek, it was possible to phrase questions naturally while avoiding any ambiguous words like ‘long’ or ‘short’. Children’s responses were not caused by superficial confusions in wording, rather they reflect deeper conceptual links between space and time.
Relativity of psychological time
If time is judged relative to space, do our minds intuitively grasp the same relationship between these dimensions found modern physics? 'Einstein posed a similar question to the child psychologist, Piaget', says Casasanto. 'But it’s unlikely that our intuitions about time are shaped by something as counterintuitive as Einstein’s Relativity.' Rather, this research shows a different relationship. In the physical world, space and time are theorised to be mutually inseparable. In the mind, however, they are asymmetrically separable. Children can think about space independent of time, but it appears they cannot conceptualise time independent of space.
Casasanto, D., Fotakopoulou, O, & Boroditsky, L. (2010). Space and Time in the Child's Mind: Evidence for a Cross-Dimensional Asymmetry. Cognitive Science34, 387–405.I have a problem with this that may indicate my lack of understanding of what they did. They say they got around the problem of whether language influences thought by using Greek-speaking kids, who use a different metaphor for time. Why could it not be that the Greek metaphor of time accumulating could confuse them as much as the English metaphor of time's arrow. (I'm a hold-out for a fairly weak version of the Sapir-Whorf hypothesis.)
I wonder how old the kids were, but I don't wonder enough pay for a subscription to Cognitive Science. Maybe Science Daily will have an article on it. Their subscription budget is probably bigger.