"I CAN Learn"® is a computer-based math curriculum for students in middle school, high school, and college. It provides math instruction through a series of interactive lessons that students work on individually at their own computers. Students move at their own pace and must demonstrate mastery of each concept before progressing to the…

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…

Online resources are widely used for educational purposes, such as the training of skills. For algebra education in particular, online resources are expected to contribute to skill mastery in an efficient and effective way. However, studies that underpin these claims through a randomized experiment are scarce. To experimentally investigate the…

Manipulatives have been used in many mathematics classrooms across many age groups with the aim of helping students to understand abstract concepts through concrete, kinesthetic, and visual experiences. In this paper, after we provide a background for the use of physical and virtual manipulatives in teaching and learning of mathematics, we will…

In spring 2010, Houghton Mifflin Harcourt (HMH) began planning a pilot of an application for the Apple iPad, "HMH Fuse: Algebra 1," which was then in development. The application was to be piloted in four California school districts during the 2010-2011 school year. HMH contracted with Empirical Education Inc. to conduct a one-year…

This research study assessed the effectiveness of a three-dimensional mathematics game, DimensionM, through a pretest-posttest control group quasi-experimental design. Participants consisted of 437 eighth graders. The classrooms were randomly assigned either to the treatment group that utilized DimensionM as a supplement to regular classroom…

This experiment illustrates how the effective use of a technology treatment integrated into pre-algebra curricula can help students achieve on the New Jersey Standardized Grade 8 Proficiency Assessment (GEPA). The researcher obtained data by comparing a treatment group to a control group; the first group was given a weekly 44-minute-long…

In spring 2010, Houghton Mifflin Harcourt (HMH) began planning a pilot of an application for the Apple iPad, "HMH Fuse: Algebra 1," which was then in development. The application was to be piloted in four California school districts during the 2010-2011 school year. HMH contracted with Empirical Education Inc. to conduct a one-year…

In this study we explored the effectiveness of individualizing instruction using a system that diagnosed students' knowledge gaps in pre-algebra and provided individualized instruction and practice. One hundred middle school students participated, and received either no instruction or individualized computer-based instruction. Diagnosis of…

Describes a study of eighth graders that examined the effect of the use of a linked multiple representation software program on student conceptions of algebraic functions, including graphing techniques. Results of classroom observations and paper-and-pencil tests are discussed, and the adapted curriculum used in the experiment is described. (17…

T-algebra is a project for creating an interactive learning environment for expression manipulation tasks of elementary algebra. Our main didactical principle has been that all the necessary decisions and calculations at each solution step should be made by the student, and the program should be able to understand the mistakes. This paper…

This article describes a technology-based approach for dealing with a misconception that some students hold concerning the equivalency of geometric transformations. Students can begin to conceptualize transformations in terms of the relationship between preimage and image figures rather than focus on the motion of a figure. (Contains 7 figures.)

Describes a study that investigated the differential effects of Computer Algebra Systems (CAS) and metacognitive training (META) on mathematical reasoning. Participants were 83 Israeli eighth-grade students. Results showed that CAS embedded within META significantly outperformed the META and CAS alone conditions, which in turn significantly…

This program is for students of grades 8 and 9 who may function a year or two behind their age peers in mathematics. It is designed to develop concepts, skills, and attitudes required for effective computation and problem solving at home, in the classroom, in the workplace, and in the community. Other goals are to develop a positive self concept,…