A central understanding in mathematics is knowledge of "math equivalence," the relation indicating that 2 quantities are equal and interchangeable. Decades of research have documented elementary-school (ages 7 to 11) children's (mis)understanding of math equivalence, and recent work has developed a construct map and comprehensive…

Comparing multiple solutions to a single problem is an important mode for developing flexible mathematical thinking, yet instructionally leading this activity is challenging (Stein, Engle, Smith, & Hughes, 2008). We test 1 decision teachers must make after having students solve a problem: whether to only verbally discuss students' solutions or…

We provide evidence of persistent gender effects for students using advanced adaptive technology while learning mathematics. This technology improves each gender's learning and affective predispositions toward mathematics, but specific features in the software help either female or male students. Gender differences were seen in the students' style…

BASIC programing was taught to 95 undergraduates from a manual emphasizing the language's syntax or from a manual that included additional material on the underlying semantics. Both approaches produced equivalent learning of syntactic features of BASIC; however, semantically trained students developed fewer misconceptions and performed better on…

The authors investigated whether guidance and reflection would facilitate science learning in an interactive multimedia game. College students learned how to design plants to survive in different weather conditions. In Experiment 1, they learned with an agent that either guided them with corrective and explanatory feedback or corrective feedback…

How students restructured their scientific ideas in response to contradictions was studied with 166 male and female students (aged 12 to 14 years) who tested their predictions about water displacement by experiment. Conceptual change varied; all subjects tended to hold onto old ideas, even when presented with conflicting information. (SLD)