In a medium saucepan, combine the sugar, cornstarch, and salt. Gradually stir in the water until smooth.
Cook the mixture over medium heat, stirring constantly until it thickens and starts to boil. This should take about 5-7 minutes.
Once thickened, remove from heat and stir in the lemon juice. Let the mixture cool for a few minutes.
Gently fold in the halved strawberries until they are well coated with the sauce.
Pour the strawberry mixture into the baked pie crust, spreading it evenly.
Refrigerate the pie for at least 2 hours to allow it to set properly.
Serve chilled, topped with whipped cream if desired.