Public education in the United States is breaking down on two dimensions: its bureaucratic organization and its conceptualization of the learning process. These breakdowns result from attempts to deliver public education using business models and have failed to support the needs of both students and teachers. This breakdown has been further…

Students with mathematics difficulty, especially students with disabilities and emergent bilinguals, require careful consideration during word-problem instruction. Word problems that include relational terms such as more but are not easily solved using the implied operation (i.e., addition) can be particularly challenging. First, we summarize a…

We used functional magnetic resonance imaging (fMRI) to explore the patterns of brain activation associated with different levels of performance in exact and approximate calculation tasks in well-defined cohorts of children with mathematical calculation difficulties (MD) and typically developing controls. Both groups of children activated the same…

As part of a study on mathematical problem solving of secondary 2 (13- to 14-years old) students in Singapore, 56 Secondary two students from ten secondary schools participated in this study. The purpose of this paper is to explore difficulties faced by 56 Secondary 2 students when solving problems. These interviews were analysed using the…

The problem of valid measurement of psychological constructs remains an impediment to scientific progress, and the measurement of executive functions is not an exception. This study examined the statistical and theoretical derivation of a behavioral screener for the estimation of executive functions in children from the well-established Behavior…

In recent years more emphasis has been placed on conceptual learning and understanding in the sciences. Unfortunately, among advocates of such a position there are those who do not see any role for quantitative problem solving at the secondary/high school level or even the introductory university level. This may be due to the frequent use of…

Students who have particular difficulty in mathematics are a growing concern for educators. Graphic organizers have been shown to improve reading comprehension and may be applied to upper level secondary mathematics content. In two systematic replications, one randomly assigned group was taught to solve systems of linear equations through direct…

"QuickSmart" is a basic academic skills intervention designed for persistently low-achieving students in the middle years of schooling that aims to improve the automaticity of basic skills to improve higher-order processes, such as problem solving and comprehension, as measured on standardized tests. The "QuickSmart" instructional program consists…

Described and compared are two approaches for evaluating student problem solving skills at the elementary school level. One model was developed by Charles and Lester; the other model was developed by Woods. (RH)

Presented is the product of a curriculum project originated in the Mequon-Theinsville Sex Equity Committee, and focusing on mathematics anxiety and avoidance. The project's two major purposes were to: (1) have the district's mathematics instructors become aware of the problem, its implications, consequences, and suggested intervention strategies;…

The study examined procedures utilized in 28 elementary schools in Montgomery County (Maryland) when a student is found to have academic or behavioral problems that make functioning in the regular classroom difficult. The study examined one part of special education--how the school system initially identifies students for special services. The…

The aim of the present study was to investigate the performance in arithmetic related to achievement levels in reading and mathematics. Basic arithmetical facts and multi-step calculations were examined. The participants were 941 pupils aged 8 (N = 415), 10 (N = 274) and 13 (N = 252) years. The pupils were divided into four groups by standardized…

Ongoing work toward developing a learning environment that will perform real-time diagnoses of students' difficulties in solving mathematical word problems is described. The learning environment designed consists of a microworld and expert modules. The microworld (or toolbox) is a collection of mouse-driven interfaces that facilitate a transition…

The purpose of this study was to examine the effects of actively categorizing math problems on the math problem solving performance of students with and without attention deficit disorder (ADD). To this purpose, 52 fifth and sixth grade students were involved in actively categorizing or noncategorizing (control) tasks followed by two problem…