Preheat oven to 350°F (177°C). Line baking sheets with parchment paper.
In a large bowl, cream the softened butter and 1½ cups granulated sugar until light and fluffy.
Add the eggs (or egg replacer) and vanilla extract, and cream until smooth.
Mix in the cream of tartar, baking soda, and salt until just combined.
Gradually add the gluten-free flour, mixing until a cohesive dough forms.
In a small bowl, combine the remaining ¼ cup granulated sugar and ground cinnamon for the coating.
Scoop dough into 1½ teaspoon balls. Roll each ball generously in the cinnamon-sugar mixture.
Place coated dough balls on the prepared baking sheets, 1-2 inches apart, and bake for 9-11 minutes, or until edges are lightly golden.