Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding the premise of a LT approach--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. This hypothesis was evaluated for an empirically-validated…

Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding a premise of a LT approach--that to be maximally meaningful, engaging, and effective, instruction is best presented 1 LT level beyond a child's present level of thinking. We evaluated this hypothesis using an empirically validated LT…

The purpose of this pilot study was to determine whether positive results from a word-problem intervention implemented one-to-one contributed to similar outcomes when implemented in small groups of three to four students. Third-grade students experiencing mathematics difficulty (n = 76) were randomly assigned to word-problem intervention (n = 56)…

Gifted students have potential to improve countries and this potential can be revealed and developed in schools where they spend most of their times with other regular students. However, these classrooms have some limitations for them; hence, they need some differentiated activities. Usage of dynamic geometry in mathematics lessons could be an…

Based on a cognitive diagnostic model, an online individualised tutor program was developed in this study. An experiment was conducted in practical educational settings exploring the effectiveness of the online individualised tutor remedial program based on the diagnostic reports of the cognitive diagnostic model. The methodology of this study was…

Eighth grade students at a middle school in a southern state were required a mathematics pass rate of 67.6% to meet annual yearly progress (AYP). Black and Hispanic students performed below the required pass rate on state assessments; thus, the school did not make AYP from 2007-2010. In an attempt to address low test scores in mathematics, the…

Objectives: To explore differentiated instruction within a calculus curriculum. For college students to learn concentration, motivation and the impact of academic achievement; explore the attitudes and ideas of students on differentiated instruction within a calculus curriculum; build up the diversity of mathematics education within varied…

This report addresses a renewed interest in individualized instruction, driven in part by advances in technology and assessment as well as a persistent desire to increase the access, efficiency, and cost effectiveness of training and education. Using computer-based instruction we delivered extremely efficient instruction targeted to low knowledge…

Students with physical and health disabilities struggle with basic mathematical concepts. The purpose of this research study was to increase the students' mathematical computation skills through implementing new strategies and/or methods. The strategies implemented with the students was utilizing the ten-frame tiles and technology with the purpose…

Problem Statement: The present study is of importance for designing a differentiation approach, which enables gifted students to use their present potential in mathematics effectively and enables them to develop their achievement, while looking at the effect of the approach on both gifted and non-gifted students. Within the scope of the developed…

Problem Statement: Algebra, which is one of the basic principles of mathematical learning, still maintains its importance in mathematics programmes. However, especially starting from the primary school years, algebra represents a complex mathematical factor in the operational stage for many students. In this scope, a differentiated teaching…

This paper examines two factors that have been shown in previous literature to enhance students' interest in learning mathematics--personalization of problems to students' interest areas, and the addition of visual representations such as decorative illustrations. In two studies taking place within an online curriculum for middle school…

This paper examines two factors that have been shown in previous literature to enhance students' interest in learning mathematics--personalization of problems to students' interest areas, and the addition of visual representations such as decorative illustrations. In two studies taking place within an online curriculum for middle school…

This study examined the effects of video-based cooperative, competitive and individualized instructional strategies on the performance of senior secondary schools' students in geometry in Nigeria. It also examined the influence of gender on students' achievement. Pretest, posttest, experimental control group design was adopted for this study.…

The purpose of this study was to test the promise of the NumberShire Level 1 Gaming Intervention (NS1) to accelerate math learning for first-grade students with or at risk for math difficulties. The NS1 intervention was developed through the Institute of Education Sciences, Small Business Innovation Research Program (Gause, Fien, Baker, &…