This qualitative review aims to describe the current status of problem-based learning (PBL) implementation in mathematics and identify research gaps in the area of investigation. Literature was searched using the ERIC and Google Scholar search engines. The inclusion/exclusion criteria included: articles published in reputable journals in English…

This paper shares a flexible activity for engaging people in mathematical inquiry that does not depend on fixed prior knowledge built on a famous property of Möbius strips. The discussion includes the implementation of the activity and its extensions, facilitator moves and common participant thinking, suggestions for adaptation and integration…

Problem-solving competency is crucial for social development, especially in complex environments. In mathematics education, problem-solving enhances logic, creativity, and analytical skills, contributing to societal progress. This article identified quantitative information about important publications, authors, resources, and research trends on…

This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the uppersecondary level in Sweden. The study applies the theoretical "hypothetical learning trajectory" (HLT) framework combining "conceptual" and "procedural" knowledge. The…

The purpose of this review was to conduct a meta-analysis of 25 years of mathematics interventions for students with mathematics difficulty or disability in Grades 4 through 12. A search of the literature yielded 25 studies that met the inclusion criteria. Studies were coded to extract important study information (e.g., participant information,…

This meta-analysis is the first to provide a quantitative synthesis of empirical evaluations of mathematical intervention programs implemented in secondary schools for students with learning disabilities and mathematics difficulties. Included studies used a treatment-control group design. A total of 19 experimental and quasi-experimental studies…

The purpose of our literature review was to extend and update Maccini, Mulcahy, and Wilson's (2007) review of the literature on mathematics interventions for secondary students with learning disabilities (LD). An extensive search of the research literature netted 15 research studies that focused on mathematics interventions for secondary students…

Background: The process of problem solving is difficult for students; thus, mathematics educators have made multiple attempts to seek ways of making this process more accessible to learners. The purpose of this study was to examine the effect size statistic of utilizing exploratory computerized environments (ECEs) to support the process of word…

The authors report findings of a best-evidence synthesis of the effects of mathematics instruction on the mathematics skills of students with emotional and behavioral disorders. The goal of the synthesis was to extend previous research by (a) detailing independent variables, instructional components, and outcome measures for each study; (b)…

In this article, we examined the extant literature regarding college-readiness in math for students entering community colleges. Included in this review are the following topics: (a) the role of community colleges between secondary and postsecondary institutions; (b) national initiatives for college-readiness standards in math; (c) Texas…

Recent research shows that U.S. 15-year-olds are behind their international counterparts in problem solving and mathematics literacy, ranking 24th of 29 nations (Lemke et al. 2004). Therefore, a key concern among policymakers and educators is improving the quantitative and analytical skills of American youth, who face job prospects in an economy…

This literature review examined the relationship between the type of mathematics courses taken and scholastic mathematics achievement. The paper concludes that there is a high correlation between types of mathematics courses taken and scholastic math achievement. Specifically, higher level mathematics courses enhance and foster analytical thinking…

Points out that successful mathematical performance depends not only on declarative and procedural content knowledge, but also upon mathematical thinking skills such as problem-schema knowledge, decision-making skills, and metacognitive knowledge. Argues that the growing need for remediation should influence schools' traditional overemphasis on…

This book explores current theory, research, practice, and policy in the assessment of higher order thinking in mathematics, focusing on the elementary and secondary grades. Current knowledge and research on mathematics learning and testing is synthesized. Examples of innovative test items for classroom use and state assessment programs are…