In a saucepan, combine heavy cream, milk, and vanilla bean seeds with the pod. Heat until steaming, but do not boil.
In a bowl, whisk together egg yolks and sugar until pale and thick.
Slowly pour the hot cream mixture into the eggs, whisking constantly. Return the mixture to the saucepan and cook over low heat, stirring, until thickened.
Strain the custard through a fine sieve, discarding the vanilla pod, and chill completely in the refrigerator.
Mash the strawberries with 1/4 cup of sugar and let sit for 15 minutes.
Once the custard is chilled, stir in the strawberries and their juices.
Churn in an ice cream maker according to manufacturer’s instructions. Freeze for 2–3 hours for a firmer texture.