This study reviews the literature on error patterns in mathematics among students with mathematics difficulty. We analyzed and synthesized the findings from 17 studies, focusing on the characteristics of error analysis studies, the mathematics topics examined, and the specific error patterns identified. The results revealed the following: (a) the…

Students encounter hundreds of word problems throughout the elementary grades and on standardized assessments through high school. To demonstrate proficiency on these measures of mathematics competency, students must be skilled in solving word problems. Early detection of word-problem difficulty is essential, and screeners play an important role…

The Cattell-Horn-Carroll (CHC) factors of the Woodcock-Johnson (WJ) Arabic Tests of Cognitive Abilities were studied with a group of students at risk of Math Disability (MD) (n50) and average students (n50) between second and fourth grades. Specifically, several statistical analyses were conducted using the seven CHC factors identified by the WJ…

The 43rd meeting of Canadian Mathematics Education Study Group (CMESG) was held at St. Francis Xavier University in Antigonish, Nova Scotia (May 31-June 4, 2019). This meeting marked only the third time CMESG/GCEDM (Groupe Canadien d'Étude en Didactique des Mathématiques) had been held in Nova Scotia (1996, 2003), and the first time it had been…

Research on teaching high school mathematics shows that the topic of percentages often causes learning difficulties. This article describes a method of teaching percentages that the authors used in university bridging courses. In this method, the information from a word problem about percentages is presented in a two-way table. Such a table gives…

The purpose of this study was to determine the effects of an early numeracy preventative Tier 2 intervention on the mathematics performance of first-grade students with mathematics difficulties. Researchers used a pretest-posttest control group design with randomized assignment of 139 students to the Tier 2 treatment condition and 65 students to…

The purpose of this study was to examine the reliability, validity, and predictive utility of 3 measures for screening kindergarten students for risk for math difficulty (MD). The screening measures assessed number sense and computational fluency, constructs central to typical early mathematical development. Conceptual and operational outcomes…

As a group, children from disadvantaged, low-income families perform substantially worse in mathematics than their counterparts from higher-income families. Minority children are disproportionately represented in low-income populations, resulting in significant racial and social-class disparities in mathematics learning linked to diminished…

The inability to develop, strengthen, and access associations in memory that allow for the rapid and accurate retrieval of answers to basic addition problems is a distinguishing characteristic of a mathematics learning difficulty. The "two-factor theory of math fact learning" (Robinson, Menchetti, & Torgesen, 2002) proposes that a weakness in…

This study covers 11-year-olds, school leavers, student nursery nurses, and bus conductor trainees, and their understanding of subtraction, and whether shortcomings in understanding and performance that occurred at ages six or seven would continue in later years and affect feelings toward the subject. (MP)

This document contains 15 research papers presented at the Fourth and Fifth Annual Conferences of the Research Council for Diagnostic and Prescriptive Mathematics. The papers are organized into four sections. In part I, four position papers by Romberg, Engelhardt, Ashlock, and Heddens reflect research ideas which underlie the Council. Part II…

The results of this case study of a 15-year-old dropout indicate the potential usefulness of incorporating process mnemonics, particularly in the form of allegorical characterizations and stories, within mathematical instructional strategies for the learning disabled. (15 references) (JJK)

Discussed is the important role that counting skills play as prerequisites to other mathematics skills. Suggests ways in which counting skills can be taught to young children experiencing learning difficulties. The skills are classified as rote counting, point counting, rational counting, counting on, and skip counting. (YP)

This document contains 14 papers selected from those presented at the Seventh Annual Conference of the Research Council for Diagnostic and Prescriptive Mathematics. Categorized as interdisciplinary studies are reports on "Mathematics as an Activity of Our Intelligence" by Skemp and a study on "The Brain Basis of Developing…

Diagnostic interviews were conducted with third graders to determine why they made mistakes on sixteen arithmetical tasks. A modified version of the Newman method of analyzing errors is discussed and applied to these interviews. (MP)