The purpose of this study was to investigate the effect of instruction in alternative solutions on Taiwanese eighth-grade students' mathematical problem solving performance. This study was exploratory rather than experimental. Alternative-Solution Worksheet (ASW) was developed to encourage students' engagement with alternative solutions to…

The aim of this study is to evaluate the reasoning skills in geometry-related subjects of six 8th Grade students. The study data were obtained at the end of the 2011-2012 spring period in a public elementary school. The study uses a case study with qualitative research techniques to investigate how students use reasoning skills. In this study, six…

Recent years have seen the convergence of two major policy streams in U.S. K-12 education: standards/accountability and teacher quality reforms. Work in these areas has led to the creation of multiple measures of teacher quality, including measures of their instructional alignment to standards/assessments, observational and student survey measures…

In mathematics education, a vast amount of research has shown that students of different ages have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. For example, in geometry it is known that many students believe that if the sides of a figure are doubled, the area is doubled too.…

In eighth grade, students usually learn about forces in science class and linear relationships in math class, crucial topics that form the foundation for further study in science and engineering. An activity that links these two fundamental concepts involves measuring the distance a spring stretches as a function of how much weight is suspended…

Prior research on students' uses of technology has suggested it can be used to support students' development of formal justifications and proofs. The ways in which these technologies influence the construction of arguments and proofs remain uncertain. Furthermore, research has not been conducted that compares the arguments students develop while…

Gifted middle school mathematics students often exhibit boundless energy, a desire to exert some degree of control over their learning, and an ability to think logically and abstractly in ways that astound their parents and teachers. Middle school math curriculum that combines guided investigations of real-life problems with product-based…