Combine 1/4 cup sugar and cinnamon in a small bowl. Set aside.
To make the cake:
Preheat oven to 350°F (175°C). Grease a 9-inch springform pan.
Whisk together the flour, baking powder, and salt. Set aside.
Using an electric mixer on medium speed, beat the butter, sugar, cream cheese, and vanilla until light and fluffy. Add the eggs, one at a time, mixing well after each addition.
Reduce mixer speed to low. Gradually add the flour mixture, mixing just until combined.
Toss the pears with 2 tablespoons of the cinnamon-sugar mixture. Gently stir the pears into the cake batter.
Transfer the batter to the prepared pan, and spread evenly. Sprinkle the remaining cinnamon-sugar mixture over the batter.
Bake for 1 hour to 1 hour 10 minutes, or until a pick inserted into the center comes out clean and the edges have slightly pulled away from the edge of the pan.
Cool completely in the pan on a wire rack before serving.
Notes
Store in an airtight container at room temperature up to 5 days.