In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework…

This study investigated the effects of student and classroom characteristics on math self-confidence, perceived usefulness, and enjoyment of mathematics as multiple outcomes. A sample of 7th-grade students from 78 classes of 49 schools was studied. The data were collected using, among other instruments, an attitude questionnaire. The results of…

Ratio and proportional relationships are of primary importance during the upper elementary and middle school grades (Kilpatrick, Swafford, & Findell, 2001; National Council of Teachers of Mathematics, 1989, 2000; National Mathematics Advisory Panel [NMAP], 2008). These relationships, along with the interrelated topics of fractions, decimals,…

This experimental study evaluated the effectiveness of a research-based intervention, schema-based instruction (SBI), on students' proportional problem solving. SBI emphasizes the underlying mathematical structure of problems, uses schematic diagrams to represent information in the problem text, provides explicit problem-solving and metacognitive…

This experimental study evaluated the effectiveness of a research-based intervention, schema-based instruction (SBI), on students' proportional problem solving. SBI emphasizes the underlying mathematical structure of problems, uses schematic diagrams to represent information in the problem text, provides explicit problem solving and metacognitive…

This mixed methods study was designed to compare the effect of using an inquiry teaching methodology and a more traditional teaching methodology on the learning gains of students who were taught a five-week conceptual change unit on density. Seventh graders (N = 479) were assigned to five teachers who taught the same unit on density using either a…

Schools and districts across the United States have adopted response to intervention (RTI) as a means for both identifying and intervening with students at risk for low achievement. The validity of RTI rests largely upon teachers making appropriate instructional decisions based on students' responses to a given practice. This study was designed to…