Measurement and statistical investigation are areas of mathematics visibly neglected in educational intervention research, particularly studies involving students with or at risk for mathematics difficulties (MD). This shortage is concerning given the importance these areas hold in students' pursuit of mathematical proficiency. This study…

Measurement and statistical investigation are areas of mathematics visibly neglected in educational intervention research, particularly studies involving students with or at risk for mathematics difficulties (MD). This shortage is concerning given the importance these areas hold in students' pursuit of mathematical proficiency. This study…

PreK children with developmental delays in inclusive classrooms need access to math interventions helps them develop foundational math skills that are needed to succeed during their K-12 education. Research is significantly lacking that addresses increasing math skills for children with disabilities in PreK classrooms. The purpose of this study…

The recent implementation of rigorous standards in mathematics education has required shifts in classroom practices. Standards-based instruction places large emphasis on students' conceptual understanding, requiring them to demonstrate high cognitive levels of mastery of the content through communication of their mathematical reasoning. Teachers…

Undergraduate statistics teaching has always faced the challenge of improving the learning quality on a continuous basis. Interactive statistical applets can enhance statistical knowledge by providing multiple representations of basic concepts and facilitating experimentation. The use of these applets will simplify the efforts for teaching…

We first review existing literature on cumulative logit models along with various ways to test the parallel lines assumption. Building on the traditional frequentist framework, we introduce a method of Bayesian assessment of null values to provide an alternative way to examine the parallel lines assumption using highest density intervals and…

This paper describes two examples of teaching situations in which the idea of infinity arises, and supports the conclusion that infinity is not a physical reality but a very powerful and useful mathematical device which facilitates modelling and the solution of problems in physics.

Nurturing autonomous learners is a fundamental instructional goal, aimed at honing students' problem-solving skills for use in later educational and career experiences. The study explores the results of a yearlong program providing professional learning to mathematics student teachers with the aim of nurturing mathematically talented students…

Over the past three decades, research and policy in many geographic regions has promoted a shift from direct, lecture-oriented mathematics instruction to inquiry-based, "dialogic" forms of instruction. While theory and research support dialogic instructional approaches, some have noted that the complexities of dialogic teaching make it…

Algorithms are the essence of computational thinking, which refers to a set of problem-solving processes that help children become logical thinkers in this increasingly digital society. It is important for teachers of young children to carefully plan and implement algorithm design tasks that involve repeated step-by-step procedures to build strong…

David Clarke's research has shifted the focus of classroom research in mathematics education from study of cultural patterns to study of patterns of participation and the learning that can result in highly complex social environments. His Complementary Accounts Methodology which informed the Learner's Perspective Study design included multi-source…

Proposed is a new method of standard setting referred to as response vector for mastery (RVM) method. Under the RVM method, the task of panelists that participate in the standard setting process does not involve conceptualization of a borderline examinee and probability judgments as it is the case with the Angoff and bookmark methods. Also, the…

This article discusses a pedagogical technique for utilizing breakout rooms for small group discussions and synchronous drawing features in Zoom to create crowdsourced solutions to mathematical problems that involve graphing or visualization. Students begin with specific examples and then move quickly to the development of a more general…

During the 2020 COVID-19 lockdowns, one of the primary challenges faced by mathematics educators was maintaining assessment integrity when replacing invigilated assessments with online assessments. These assessments presented students with the opportunity to engage in misconduct in a manner that ordinarily would not exist. This was particularly…

Although there is much research exploring students' covariational reasoning, there is less research exploring the ways students can leverage such reasoning to coordinate more than two quantities. In this paper, we describe a system of covariational relationships as a comprehensive image of how two varying quantities, having the same attribute…