Using data from teaching experiments and theories from quantitative reasoning, we built second-order accounts of students' mathematics with regards to how they conceived rate of change through operating on existing quantities. In this report, we explain three different ways STEM undergraduates structurally conceive rate of change as they…

This study aims to analyze the impact of cognitive flexibility and classroom engagement levels on high school students' creative problem-solving skills. The participants are 341 tenth grade students from three different high schools, along with nine mathematics teachers who have been teaching these students for at least two years. Data analysis…

This paper draws from and contributes to two bodies of research: how particular elements of game design support learning; and how particular characteristics of feedback impact student engagement. This paper reports findings from two rounds of a design-based research project that focuses on better understanding how feedback is integrated into, and…

The purpose of this exploratory research was to examine two middle school mathematics teachers' views of the nature of mathematics and their perceptions about the purpose of education as it translates into planning for instruction and teaching. In addition, students in one seventh grade mathematics class of each teacher were surveyed about their…