Muddle the Fruits and Mint:

In a cocktail shaker, muddle the strawberries, lime wedges, and mint leaves together to release their juices and essential oils. Don't shred the mint into tiny pieces; just bruise them lightly to release the flavor.

Add Vodka and Simple Syrup:

Pour the vodka and simple syrup into the shaker.

Shake:

Add ice to fill the shaker halfway, then cover and shake vigorously for about 15 seconds. The idea is to chill the mixture thoroughly and mix all the flavors well.

Strain and Serve:

Strain the mixture into a glass filled with fresh ice. You can double strain it if you want to avoid small fruit pieces and mint in your drink.

Top Off:

Top off the drink with a splash of club soda for some fizz.

Garnish and Enjoy:

Garnish with a strawberry slice or a lime wheel on the rim of the glass. Serve immediately.