To make the dressing: In a food processor or blender, combine the strawberries, red wine vinegar, balsamic vinegar, Dijon mustard, honey, salt, and pepper. Blend until smooth, strain into a jar, and stir in the poppy seeds. Refrigerate until ready to serve.
To make the salad: In a large bowl, combine the spinach and arugula. Add the strawberry poppy seed dressing and toss to coat. Add the strawberry halves, candied pecans, and shaved Parmesan cheese.
The salad does not store well after it has been coated with dressing.