This qualitative case study focuses on implementations of response to intervention (RTI) to help African American and Hispanic students with learning disabilities in mathematics. The research problem addresses the achievement gap in mathematical competency's for African American and Hispanic students diagnosed with specific learning disabilities…

Rooted in learning theory and developmental psychology, the field of developmental education is concerned with addressing underprepared students' needs for growth. Much of this development relates to college readiness, thus students considered underprepared for college-level coursework are referred to developmental education coursework in subjects…

Purpose: This study aims to explore how the theories of professional capital and decisional capital can be extended to introduce "professional mathematics capital" and "decisional mathematics capital". Design/methodology/approach: Professional development (PD) efforts in one school district in elementary mathematics education…

Students at Century High School (CHS), a Catholic all-boys high school on Long Island, New York, who started ninth grade with Algebra 1 instead of Geometry demonstrated less obvious career interest in science, technology, engineering, and mathematics (STEM) and lower mathematics achievement, as typically evidenced by Iowa Tests of Educational…

This study looks at the various verbal and non-verbal representations used in a process of modelling the number of annual plants over time. Analysis focuses on how various representations such as words, diagrams, letters and mathematical equations evolve in the mathematization process of the modelling context. Our results show that (1) visual…

Education is one of the most vital sectors of any nation's development. Site selection for Education Centers (EC) like schools, colleges, and coaching centers can be a very complex process. Various parameters like population, literacy rate, property cost, etc. have to be considered while selecting a site. Though deterministic approaches employed…

The ability to understand the relationship between the reversal potential and the membrane potential is a fundamental skill that must be mastered by students studying membrane excitability. To clarify this relationship, we have reframed a classic experiment carried out by Hodgkin and Katz, where we compare graphically the membrane potential at…

This paper is a survey paper for the special issue on changes in Eastern European mathematics education in recent decades. In it I attempt to describe briefly the development of Eastern European mathematics education during the years that preceded the changes of the late 1980s and early 1990s, and to indicate certain questions for research…

The purpose of this paper is to propose a new ontology of reasons for inferentialism. The existing inferentialist approach to mathematics education has a methodological challenge in retrospective analysis and a noncollaborative issue stems from a narrow view of learning. The proposed ontology, built on a radical interpretation of the…

This interactive essay serves as a research companion to support the reader in thinking and talking about equity in research design, implementation, and reporting in post-secondary mathematics education. The terms equity, diversity, inclusion, and social justice have entered the mathematics education research lexicon. Yet, researchers continue to…

The analysis of the content of school textbooks, particularly in a time of cross-cultural borrowing, is a growing field restricted by the tools currently available. In this paper, drawing on the analyses of three English year-one mathematics textbooks, we show how two approaches to the analysis of sequential data not only supplement conventional…

The article shows that even a small number of iterations give a very large length of the Koch Curve. The overall purpose of this work is to show that even a small number of iterations can give a very complex fractal structure. In this case it is the very big length of Koch's curve. As examples, the distance from the Earth to the Moon and from the…

Finding ways for students to use manipulatives in a safe, yet collaborative, manner is a challenge the 2020-2021 school year introduced. Teachers scrambled to create a set of manipulatives for individual use on a budget so students could learn from home, in hybrid environments, or in socially distanced classrooms. This article presents a…

In this study, we present a mathematical analysis distinguishing two conceptions of equivalence: "proportional equivalence" and "unit equivalence." These two conceptions have distinct meanings in relation to equivalent fractions: one is grounded in proportionality, while the other is grounded in equal wholes. We argue that (a)…

After four decades of research and development on language in mathematics classrooms, there is consensus that enhancing language is crucial for promoting students' mathematics learning. After briefly sketching the theoretical contexts for work on this topic, in this paper we present six design principles for instruction that enhances language for…