An integrative data analysis of gender differences in children's understanding of mathematical equivalence

- Majority of children cannot solve any mathematical equivalence problems correctly.
- Girls less likely than boys to solve mathematical equivalence problems correctly.
- Girls more likely than boys to use the incorrect, change-resistant add-all strategy.
- Boys and girls equally likely to make calculation errors.

This study examined gender as a potential source of variation in children's formal understanding of mathematical equivalence. The hypothesis was that girls would perform more poorly than boys. An integrative data analysis was conducted with 960 second and third graders across 14 previously conducted studies of children's understanding of mathematical equivalence. Measures included problem solving, problem encoding, and equal sign definition. Overall, children performed poorly on all measures. As predicted, girls were less likely than boys to solve mathematical equivalence problems correctly, even though there were no gender differences in calculation accuracy. In addition, girls were more likely than boys to use the “add-all” strategy, an incorrect strategy that has been shown to be more resistant to change than other incorrect strategies. There were not statistically significant differences for encoding or defining the equal sign, suggesting that deficits may reflect girls' tendency to follow taught algorithms.