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ABSTRACT As women are underrepresented in STEM and the home learning environment has been associated with children's science knowledge, this study focuses on the home science environment as an area where gender differences may occur. To identify potential antecedents of gender differences, this study examined whether there were mean differences in the frequency of parent engagement in science content, processes and resources by child gender and parent relation. 906 parents of 1‐ to 6‐year‐old children (67% female, 86% White, 50% female children) completed a cross‐sectional online survey about the home science environment. Results indicate no significant differences in the frequency of science engagement between parents of girls and parents of boys and between mothers and fathers (η² < 0.01). We did not find any significant gender differences in parents' reports of their frequency of engagement in early home science activities across content, processes and resources. 

Students often perform arithmetic using rigid problem-solving strategies that involve left-to-right-calculations. However, as students progress from arithmetic to algebra, entrenchment in rigid problem-solving strategies can negatively impact performance as students experience varied problem representations that sometimes conflict with the order of precedence (the order of operations). Research has shown that the syntactic structure of problems, and students’ perceptual processes, are involved in mathematics performance and developing fluency with precedence. We examined 837 U.S. middle schoolers’ propensity for precedence errors on six problems in an online mathematics game. We included an algebra knowledge assessment, math anxiety measure, and a perceptual math equivalence task measuring quick detection of equivalent expressions as predictors of students’ precedence errors. We found that students made more precedence errors when the leftmost operation was invalid (addition followed by multiplication). Individual difference analyses revealed that students varied in propensity for precedence errors, which was better predicted by students’ performance on the perceptual math equivalence task than by their algebra knowledge or math anxiety. Students’ performance on the perceptual task and interactive game provide rich insights into their real-time understanding of precedence and the role of perceptual processes in equation solving.