This study aimed to investigate the effect of instruction designed according to the ARCS model enriched with Web 2.0 tools on the mathematics achievement and motivation of secondary school students and to examine student opinions regarding the applied instruction process. A mixed-methods approach was employed in the study since both quantitative…

In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework…

Recent research on the design of social experiments has highlighted the effects of different design choices on research findings. Since experiments rarely collect their samples using random selection, in order to address these external validity problems and design choices, recent research has focused on two areas. The first area is on methods for…

The aim of this study is to determine the effects of computer-assisted teaching (CAT) on remedying misconceptions students often have regarding some probability concepts in mathematics. Toward this aim, computer-assisted teaching materials were developed and used in the process of teaching. Within the true-experimental research method, a pre- and…

The overall aim of this study is to search whether teaching geometry with Cabri Geometry Plus II software have effects on 7th grade students' learning transformation geometry in mathematics. In this context, the researcher has used a pre-test and post-test research design with a control group. The research sample consisted of 135 students in total…

Middle school students with learning disabilities in math (MLD) used two versions of Enhanced Anchored Instruction (EAI). In one condition, students learned how to compute with fractions on an as-needed basis while they worked to solve the EAI problems. In the other condition, teachers used a computer-based instructional module in place of one of…

The purpose of this study was to assess if there was a relationship between sixth, seventh, and eighth grade student's level of mastery of basic math facts and their mathematical scaled score from a standardized test, whether computer assisted instruction (CAI) software improved seventh grade students' ability to master their basic math…

When the author started his visualization session at Brampton by showing a still from Kate Mackrell's "Kaleidoscope," he was immediately struck by one student's description of a symmetry and reflection line that was quite at odds with what he was holding. Since he had seen the whole thing moving on a number of occasions, the author was hanging on…

The transition from arithmetic to algebra in general, and the use of symbolic generalizations in particular, are a major challenge for beginning algebra students. In this article, we describe and analyze students' learning in a "computer intensive environment" designed ad hoc and implemented in two seventh grade classrooms throughout two…

What mathematics programs have been proven to help middle and high school students to succeed? To find out, this review summarizes evidence on three types of programs designed to improve the mathematics achievement of students in grades 6-12: (1) Mathematics Curricula (MC), such as The "University of Chicago School Mathematics Project," "Connected…

Algebra is one of those hard-to-teach topics where pupils seem to struggle to see it as more than a set of rules to learn, but this author recently used the software "Grid Algebra" from ATM, which engaged her Year 7 pupils in exploring algebraic concepts for themselves. "Grid Algebra" allows pupils to experience number,…

This study is part of a large research and development project aimed at observing, describing and analyzing the learning processes of two seventh grade classes during a yearlong beginning algebra course in a computer intensive environment (CIE). The environment includes carefully designed algebra learning materials with a functional approach, and…

This article reviews research on the achievement outcomes of mathematics programs for middle and high schools. Study inclusion requirements include use of a randomized or matched control group, a study duration of at least 12 weeks, and equality at pretest. There were 100 qualifying studies, 26 of which used random assignment to treatments. Effect…

We report on the initial attempts at evaluating "at scale" a particular technological/curricular innovation that enables more students to develop deeper knowledge. The methods, issues, and findings of the current pilot experiment speak not only to the success of SimCalc MathWorlds, the focus of our research program, but also to the…

This paper summarizes our analysis of the complexity of ratio problems at Grades 6 and 7, and reports a two-year experiment related to the teaching and learning of rational numbers and proportionality in these grades. Two classes were followed and observed. Part of the teaching material was common to both classes, mainly the objectives and the…