Caramelized pear ice cream

My parents brought me some asian pears and I had been itching to try caramelized pear ice cream. It didn't turn out quite as caramel-y as I would have liked and I have ideas for next time but this is what I did this time around:

2 ripe pears chopped fine
1/4 water
1 1/4 cup sugar
3 cups heavy cream warmed
1 Tbs pure vanilla extract

Place water and sugar in a heavy skillet over medium low heat. Let sugar dissolve then added the pear choppings. Let the sugar and pears cook for a few minutes then raise the heat to caramelize the sugar. When it's bubbling and a dark amber color, pour in the heated heavy cream. Keep stirring the mixture until all the caramel dissolves into the cream. Remove from heat and add the vanilla extract. Chill mixture well and freeze in ice cream maker.