The question of grouping students into homogeneous and heterogeneous groups is not new, but it does not find an unambiguous answer in the literature, especially in mathematics. In this paper, we address the question of whether grouping students into homogeneous and heterogeneous groups in mathematics improves their knowledge. The quasi-experiment…

In the present study, we were interested in the appraisal by teachers who have had experience with an individual form of differentiation of the efficiency of grouping learners into homogenous or heterogeneous groups. In the study, seven aspects were thus considered: (1) the learning performance and motivation of learners, (2) the learners'…

High-quality helping behavior is essential for effective peer interaction and learning. This study focused on ethnic group composition and the quality of group interaction as predictors of individual mathematics performance. Video-observations of 92 fifth-grade students working in groups balanced on mathematics performance level were analyzed. We…

The purpose of this quantitative study was to determine the effectiveness of one specific freshman mathematics intervention program on improving students' mathematics knowledge and to examine student perceptions and attitudes towards mathematics. Students participating in the mathematics intervention program were assigned to two math classes each…

A design experiment with 18 students in a regular seventh grade math class was conducted to investigate how to differentiate instruction for students' diverse ways of thinking during a 26-day unit on proportional reasoning. The class included students operating with three different multiplicative concepts that have been found to influence rational…

Gifted education programs are diverse with respect to their structure and foci. This diversity is reflective of the field itself. With this large, multi-state study, we surveyed practices employed in elementary schools (N = 1,548). Differences were observed in the implementation mechanics of English and mathematics curriculum. Interrelationships…

Schools utilize an array of strategies to match curricula and instruction to students' heterogeneous skills. While generations of scholars have debated "tracking" and its consequences, the literature fails to account for diversity of school-level sorting practices. In this paper we draw upon the work of Sørenson (1970) to articulate and…

Schools use an array of strategies to match curricula and instruction to students' heterogeneous skills. Although generations of scholars have debated ''tracking'' and its consequences, the literature fails to account for diversity of school-level sorting practices. In this article, we draw on the work of Sørensen and others to articulate and…

The purpose of this study was to examine the effects of heterogeneous and homogeneous grouping on the mathematical achievement of students in third grade. Participants were 16 third graders in a self-contained classroom, assigned to either small homogeneous or heterogeneous group for math instruction for 7 weeks. Pretest-posttest scores and growth…

Achievement in mathematics education continues to be a growing concern across the country. Presently, schools continue to struggle with the best methods and strategies to implement effective mathematics programs while working towards closing achievement gaps for those students who are not meeting the standards. The Rhode Island Department of…

This study aimed to improve the van Hiele levels of geometric understanding, proof-construction performance and beliefs about proofs of the research respondents: future mathematics teachers exposed to the traditional (instructor-based) method and the enhanced-group Moore method. By using the quasi-experimental method of research, the study…

The purpose of this study is to investigate whether small group instruction in kindergarten widens or closes the achievement gap in mathematics between EL students and non-EL students. The first objective is to examine whether the impacts of small group instruction on math learning differ between EL kindergartners and their non-EL peers. For…

This action research study focused on how various grouping strategies influenced preservice teachers' differentiation of instruction. The participants included a third grade mentor teacher and three preservice teacher candidates. The candidate preparation curriculum consisted of seminars, daily field-based learning experiences, and ongoing…

It can be difficult to find adequate strategies when teaching problem solving in a standard based mathematics classroom. The purpose of this study was to improve students' problem solving skills and attitudes through differentiated instruction when working on lengthy performance tasks in cooperative groups. This action research studied for 15 days…

Cooperative student work often fails to generate individual understanding of abstract algebra materials. Suggests techniques that enable abstract algebra students to master proofs and enhance cooperative work. (Author/ASK)