This article describes Realistic Mathematics Education (RME), a design theory for mathematics education proposed by Hans Freudenthal and developed over 40 years of developmental research at the Freudenthal Institute for Science and Mathematics Education in the Netherlands. Activities from a unit to develop student understanding of logarithms are…

This paper reports findings of a post test experimental control group design conducted to investigate the role of modified Moore learning approach on improving students' mathematical understanding and proving abilities. Subjects of study were 56 undergraduate students of one state university in Bandung, who took advanced abstract algebra course.…

The authors' proposed work builds upon 12+ years of research collectively known as the "SimCalc Projects." SimCalc Connected MathWorlds (SCM) combines two innovative technological ingredients to address core mathematical ideas in deep and sustainable ways for mathematics learners. Software that addresses content issues through dynamic…

The objective of this research was to better understand the transfer of learning between different variations of pre-algebra problems. While the authors could have addressed a specific variation that might address transfer, they were interested in developing a general model of transfer, so we gathered data from multiple problem types and their…

Community colleges are increasing their enrollment faster than four-year universities and have also had the highest growth rate in online learning enrollments in higher education. This increase in community college enrollment and specifically in online and developmental courses, leads to a need for research with this population; sadly, very little…

This article presents our plans and initial work to explore how mathematics teacher education programs can prepare teachers for diverse middle grades classrooms. It describes the start-up of a five-year National Science Foundation project to design, develop, and test technology-enriched teacher preparation strategies to address equity in algebra…

fMRI was used to examine the differential effect of two problem-solving strategies. Participants were trained to use both a pictorial/spatial and a symbolic/algebraic strategy to solve word problems. While these two strategies activated similar cortical regions, a number of differences were noted in the level of activation. These differences…

The primary purpose of this study was to compare the results of the Michigan State University (MSU) unproctored examination to the results of the proctored examination. Both examinations are used to determine whether first time freshmen at MSU are ready for a standard mathematics course or if a remedial course is necessary. In addition to…

The purpose of this researcher was to investigate the programmatic impact of school districts' practice of limited early access to algebra on student performance. School districts selected for the study are located in the counties of Nassau and Suffolk, Long Island, New York. School districts that reported Mathematics A and Integrated Algebra…

Students who make adequate yearly progress in grade-level mathematics courses should expect to pass the mathematics portion of their high school exit exam on the first attempt. Expectation theory states that teachers' beliefs about their own students are an important factor in students' success. The purpose of this nonexperimental study was to…

To assess the raised expectations of college and career readiness for all students, a group of American Diploma Project (ADP) Network states formed the ADP Assessment Consortium in 2005. The Consortium created Algebra I and II end-of-course exams, based in large part on Achieve's ADP mathematics benchmarks, which would provide an honest assessment…

The study, "Technology's Edge: The Educational Benefits of Computer-Aided Instruction," examined whether the "I CAN Learn"[R] computer-based curriculum is more effective than traditional classroom instruction at teaching pre-algebra and algebra concepts to middle- and high-school students. The study included about 1,600…

This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…

Recent state legislation in Michigan mandates that all graduating seniors successfully pass algebra I and II. Numerous initiatives have been enacted to help mathematics teachers meet this challenge, yet school principals have had little preparation for the necessary curricular and instructional changes. To address this unmet need, university-based…

This research compared the effectiveness, in terms of mathematical achievement, of online homework to textbook homework over an entire semester for 145 students enrolled in multiple sections of college algebra at a large community college. A quasi-experimental, posttest design was used to analyze the effect on mathematical achievement, as measured…