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The gender gap in mathematics is evident when children begin formal schooling, persists throughout, and is particularly striking at the top of the distribution, among high-achieving students (Fryer & Levitt, 2010; Cimpian, et al., 2016). Several studies have found that spatial skills help explain gender differences in mathematics (Casey et al., 1995; Halpern et al., 2007; Mix & Cheng, 2012). However, no study has examined the role of “Bold Problem Solving” in explaining gendered patterns in mathematics outcomes.
Given gender differences in spatial skills and bold problem-solving approaches, this study examines:
1) whether there are gender differences in problem-solving performance among high-achieving boys and girls just before high school, and
2) whether spatial skills and/or bold problem-solving approaches account for any of the observed gender difference in problem-solving performance.
This project was part of the study introduced in Paper 2, using data collected from 76 8th graders at a selective 5-year high school. The students completed a problem-solving assessment including five challenging SAT items with known sex differences (Gallagher, 1992), a 3-D Mental Rotation Test (24 items; Peters et al., 1995, based on Vandenberg & Kuse, 1978), and a survey regarding their math beliefs, attitudes, and practices, which included the newly-developed Bold Problem Solving items.
Despite the boys and girls in the sample having similarly high prior math test scores, there were striking gender differences in mental rotation (d=1.18), Bold Problem Solving (d=1.09) and performance on the five challenging SAT items (d=.75). In zero-order correlations, all variables were significantly correlated with one another (see Table 3).
To examine research question 1, we ran a regression analysis in MPlus (Muthen & Muthen, 1998-2012) predicting problem-solving performance from gender. Results showed a large gender difference in problem-solving performance (p=.001) (see top of Figure 1). To test research question 2, we ran a path analysis in MPlus and tested the indirect relations between gender and problem-solving performance through both mental rotation and Bold Problem Solving. In this model, relations between gender and Bold Problem Solving (p<.001) and gender and mental rotation (p<.001) are both statistically significant (see bottom of Figure 1). However, only Bold Problem Solving predicts problem-solving performance (p<.001). Moreover, there is a significant indirect relation between gender and problem-solving performance through Bold Problem Solving (point estimate=0.68, p=.001), but not through mental rotation (point estimate=.27, p=.13). Results hold when we covary out prior SSAT verbal and math scores as well as when using Poisson regression to account for the fact that problem-solving performance is a count variable.
Results suggest that boys’ use of bolder problem-solving strategies helps explain the gender difference in problem-solving performance. In the symposium, we will discuss additional analyses exploring whether Bold Problem Solving mediates the relation between mental rotation and problem-solving performance, and the role of confidence and mental math in these relations.
Jennifer Timmer, University of Illinois at Urbana-Champaign
Colleen M. Ganley, Florida State University
Sarah Theule Lubienski, Indiana University