Teachers' knowledge of the subject matter is considered an important component of their expertise in teaching mathematics. Yet how teachers' understanding of one content area is related to other content areas has not been investigated in depth. We explored this question by investigating teachers' knowledge of two theoretically related areas: (1)…

The number line is a powerful tool for supporting students' understanding of fraction magnitude. Fractions are a critical component of mathematics instruction in the elementary and intermediate grades. More specifically, understanding fraction magnitude is central to mathematical development. Yet, fractions are challenging for many students,…

Rational number proficiency is predictive of later mathematics achievement, especially for rigorous mathematics courses, such as Algebra I. Students with learning disabilities (LD) in mathematics struggle to make adequate progress on rational number concepts and skills that lay the foundation for successfully completing secondary mathematics…

This article analyzes how three mathematics preservice teachers (PSTs) reasoned quantitatively and covariationally while making sense of the Earth's energy budget (EB)--a model of energy circulation within the Earth's climate system--and discusses how their quantitative and covariational reasonings influenced their understanding of climate change.…

The German national educational standards state explicitly that students should be enabled to successfully interact with dynamic geometry software. In a feasibility study on providing a standardized assessment instrument by digital means, in order to assess students' mathematical competencies, the implementation of a task with such a dynamic…

Meta-analysis methodology has evolved with the development of more robust statistical techniques; however, few reviews in special education have focused specifically on methodological rigor in meta-analyses. In this study, we examined 29 meta-analyses of mathematics interventions published from 2000 to 2022 to determine the extent to which…

Three preregistered studies examined whether 5-year-old children cheat consistently or remain honest across multiple math tests. We observed high consistency in both honesty and cheating. All children who cheated on the first test continued cheating on subsequent tests, with shorter cheating latencies over time. In contrast, 77% of initially…

The objective of this paper is to establish comparisons between the Linear Algebra (LA) approach practiced in Engineering courses offered by Chilean and Brazilian Higher Education Institutions and, for that, teachers from both countries were interviewed. From a methodological point of view, the research consists of two case studies. For the…

The appraisal theories of emotions and existing studies have indicated the relationships between emotions and goals. However, little research has investigated the role of teachers' student-oriented goals for their emotions. This study examined how teachers' teaching-related emotions relate to their student-oriented goals directly or indirectly…

The home learning environment that parents provide for their children is an important context for mathematical development. This study describes the home numeracy environment of Argentinean 5-year-old children of low and high socioeconomic status (SES), specifically in the context of mother-child shared reading of a commercial counting book (Book…

This paper reports the results of a survey of 404 US mathematics education faculty regarding their research expectations for obtaining tenure. Survey questions asked about participants' perceptions of expected numbers of publications per year, and how much different types of publications (e.g. journal articles, book chapters) and scholarly…

Over the past decade, the United States has witnessed a remarkable surge in computer-based instruction, revolutionizing how students learn and educators teach. This action research study aimed to investigate the overall impact of computer-based instruction on mathematics achievement in the alternative high school setting. The research design…

This quantitative, causal comparative study analyzed the effect of participation in a blended learning program has on the STAAR Mathematics and Reading Language Arts assessments for fifth grade students in a large, urban school district in North Texas. The study evaluated the performance of fifth graders on the STAAR assessment in mathematics…

Primary school textbooks can enhance the acquisition of arithmetic word problem solving skills by offering diverse problems based on their semantic-mathematical structure with targeted reasoning aids, including schematics highlighting their mathematical structure. While certain countries, such as the USA and Singapore, have made progress in…

This study's purpose was to examine the effects of the concrete-representational-abstract integrated (CRA-I) sequence on the performance of students who struggled with rational number concepts. Three students in southeastern U.S. fifth grade class participated in the study. The CRA-I intervention was grounded in the principles of explicit…