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For each child you will need:.
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2 pint-size resealable plastic freezer bags.
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1 gallon-size resealable plastic freezer bag.
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Gloves or towel to protect fingers.
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In a pitcher or large measuring cup, stir together the whipping cream, half-and-half, sugar, and vanilla extract until sugar has dissolved.
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Pour about 1/2 cup of mixture into a pint-size plastic bag and seal carefully, squeezing out extra air. Place each sealed bag into a second pint-size bag, again squeezing out extra air. Seal carefully.
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Fill each gallon-size plastic bag about halfway with ice and add 1/2 cup coarse salt. Place one sealed small bag into the large bag, squeeze out most of the air, and seal the large bag.
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Wear mittens or thick gloves, or wrap the bag in a towel to protect hands against the extreme cold. Shake and massage the bag for about 5 minutes or until mixture thickens into ice cream. Add more salt and ice to the outer bag if ice cream hasn't formed after 10 minutes of continuous motion.
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Remove the outer pint-size bag before you open the inner bag so you don't get any of the salty ice on your ice cream!