Prompting learners to generate examples has been proposed as an effective way of developing understanding of a new concept. However, empirical support for this approach is lacking. This article presents two empirical studies on the use of example-generation tasks in an online course in introductory university mathematics. The first study compares…

This article provides an analysis of a data set coming from a two-phase qualitative study that focused on fostering primary students' abstraction of interrelations among quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids). The pilot study consisted of work with eight primary students operating at van Hiele level 2 (e.g.,…

This observational study used data from 270 second-grade students to investigate the association between students' strategy use for multidigit addition and subtraction and their mathematics achievement. Based on strategies they used during a mathematics interview, students were classified into the following strategy groups: (a) standard algorithm,…

The study examines language dimensions of mathematical word problems and the classification of mathematical word problems according to these dimensions with unsupervised machine learning (ML) techniques. Previous research suggests that the language dimensions are important for mathematical word problems because it has an influence on the…

A theoretical model describing young students' (Grades 1-3) functional-thinking modes was formulated and validated empirically (n = 345), hypothesizing that young students' functional-thinking modes consist of recursive patterning, covariational thinking, correspondence-particular, and correspondence-general factors. Data analysis suggested that…

This study was conducted to determine the degree of relationship that exists between learners' level of comprehension and solving skills on mathematical word problems of grades four to six learners in Kang-iras Elementary School. It attempted to establish a relationship between the learners' level of comprehension and solving skills. This research…

This pilot study explores the effectiveness of a strategy for overcoming post-primary students' misconceptions within the topic of algebra. Although central to the study of mathematics, algebra can be an area of difficulty for many students. A misconception is typically classified as flawed understanding of a concept causing repeated errors, and…

The present study examined the ability of content domain (algebra, geometry, rational number, probability) to classify mathematics misconceptions. The study was conducted with 1,133 students in 53 algebra and geometry classes taught by 17 teachers from three high schools and one middle school across three school districts in a Midwestern state.…

English Learners (ELs) enrollment in the U.S. public schools continues to increase. ELs have various linguistic needs including listening, reading, speaking, and writing English. Often this group of students does not perform well academically on state assessments since these assessments are normally written in English and require substantial…

Purpose: The purpose of this paper is to present an algorithm to generate story problems via controlled parameters in the domain of mathematics. The generation process is performed in the problem generation module in the context of an intelligent tutoring system suggested in this paper. Controlling the question parameters allows for adapting the…

This research study examined the process by which non-English speaking students, whose first language is Arabic, learn mathematics in English. Teachers' adaptation was investigated to reflect the effect of change in instructional methods. The effect of communication between teachers, and exchanging ideas about the efficient practice procedure to…

As technology become more ubiquitous in the classroom, teachers need to overcome two types of barriers to use it effectively: access to resources (including the development of knowledge) and the development of appropriate beliefs. To assist teachers in overcoming these barriers, we must understand the relationships that exist among them. We…

Prior research has shown that EL classification is consequential for students, however, less is known about how EL classification impacts students' outcomes. In this study, we examine one hypothesized mechanism: teacher perceptions. Using nationally-representative data (ECLS-K:2011), we use coarsened exact matching to estimate the effect of EL…

This study examined the relationship between learning styles of students and their success on a mathematics course. In this study, the categorization of high school students' learning style scores was defined. The given method for calculating the learning style scores was developed by the author. The purpose of this study was to raise the success…

Receiver operating characteristic curve (ROC) analysis was used to investigate the ability of early numeracy curriculum-based measures (EN-CBM) administered in preschool to predict performance below the 25th and 40th percentiles on a quantity discrimination measure in kindergarten. Areas under the curve derived from a sample of 279 students ranged…