preposition
1
BAD : Between all the magazines on the shelves, only one was of any interest.
GOOD : Among all the magazines on the shelves, only one was of any interest.
BAD : He wandered silently between the passengers on the boat.
GOOD : He wandered silently among the passengers on the boat.
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Between is used when there are people or things on either side of someone or something: 'The ball went straight between the goalkeeper's legs.' 'The teacher walked up and down between the rows of desks.' 'Give me a number between 4 and 14.'
Among (or amongst ) is used when (at least three) people or things are considered as a group or mass: 'I eventually found the photograph among a pile of old letters.'
2
BAD : Children between three to five go to kindergarten.
GOOD : Children between three and five go to kindergarten.
BAD : Between June 1987 to March 1990 I was in France.
GOOD : From June 1987 to March 1990 I was in France.
BAD : It will take them between six to eight weeks to finish it.
GOOD : It will take them between six and eight weeks to finish it.
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Use between ... and or from ... to (NOT between ... to ).