Animals have two ways of using their senses, focussed and broadband. The senses which they can use in a broadband way are seeing, listening, and smelling. The 'peripheral vision' exemplified by horses and pidgeons, is better understood as broadband vision, where the broadband field of vision has a periphery.
Broadband sensing evolved because it was the most direct method of being receptive to and aware of sudden movements and changes in the immediate environment.
Focussed sensing evolved to do things. It involves something animals need or want.
For animals, survival depends on their ability to use broadband sensing in combination with all their focussed activities. This is a balance, evolutions safeguard against danger. In our modern culture we seem to need only focussing abilities: e.g. drawing, writing, thinking, memory and concentration.
To give children a good start in life, we encourage focussed sensing and thinking from an increasingly early age, and by doing this we actively undermine our broadband abilities before they have even started to develop.
As individuals and as a culture, we can't expect to find any realistic sense of balance or safety without sensing in a broadband way. I suggest a range of adult and childrens games to encourage our broadband abilities quickly.