Prior research showed that many secondary students fail to construct arguments that meet the standard of proof in mathematics. However, this research tended to use survey methods and only consider students presenting their perceived proofs in written form. The limited use of observation methods and the lack of consideration of students presenting…

According to the recent MAA National Study of College Calculus (Bressoud, Mesa, & Rasmussen, 2015) more than a third of US Calculus I students come in contact with undergraduate mathematics peer tutors (UMPTs) and mathematics tutoring has the ability to influence affect as well as academic learning, but, undergraduate mathematics tutoring is…

Why do honeycomb cells have hexagonal openings? This is a problem of antiquity. More than 2000 years ago, Greek scholars referred to "the geometrical forethought" of bees in constructing the most efficient structure to hold honey. In this article, the author determines the exact size of the trihedral angle, and provides insight as to why…

In this article, we show a "very" simple algorithm for the evaluation of the character tables applicable to all finite point groups. The method uses linear combinations of the symmetry operators associated with the point group's classes as the basis set. Eigenvectors of the resulting matrix of such representations are related to the…

At Mayfield Middle School, in order to create personalized and more meaningful learning experiences for the students, it was realized that a typical, traditional schedule was not always conducive to the types of learning experiences teachers wanted to create. Teachers had great ideas for projects and practices that would incorporate more critical…

Across the nation, schools and districts are looking for effective and sustainable teacher recruitment and retention strategies. This study examines a teacher residency program throughout four high-needs districts of a year-long teacher residency program. Using three types of data, we collate residents' responses and present individual case…

This study aimed to evaluate the item model fit by equating the forms of the PISA 2018 mathematics subtest with concurrent common items equating in samples from Türkiye, the UK, and Italy. The answers given in mathematics subtest Forms 2, 8, and 12 were used in this context. Analyzes were performed using the Dichotomous Rasch Model in the WINSTEPS…

This study explores the connection between patent citations and scientific publications across six fields: Biochemistry, Genetics, Pharmacology, Engineering, Mathematics, and Physics. Analysing 117,590 papers from 2014 to 2023, the research emphasizes how publication year, open access (OA) status, and discipline influence patent citations. Openly…

The purpose of this study was to analyze the impact on student performance due to participation in the Catapult Learning Intervention program in the Mathematics and Reading services offered in a religious non-public school system in the Northeastern United States from grades K-2. Scaled scores from the NWEA MAP assessments administered at the…

In mathematics classrooms, it is common practice to work through a series of comparable tasks provided in a textbook. A central question in mathematics education is if tasks should be accompanied with solution methods, or if students should construct the solutions themselves. To explore the impact of these two task designs on student behavior…

Purpose -- This article comprehensively examines the existing body of literature about the assessment tools employed for evaluating higher-order thinking skills (HOTS) in mathematics within the last five years. The study endeavors to offer a comprehensive overview of measuring instruments for HOTS in mathematics, utilizing precise and up-to-date…

Automaticity in discrete skills is vital to developing proficiency in the higher-order abilities necessary for successful school, work, and social outcomes. Unfortunately, many students struggle with this automaticity. Strategic incremental rehearsal (SIR) is an efficient flashcard intervention that improves discrete skill acquisition. This…

Attending school does not necessarily lead to learning. In the classroom, quality of teaching is one of the most significant factors in determining pupil outcomes. Structured pedagogy programmes are designed to support teaching practice and have led to improved learning outcomes at scale across different contexts including in low-income countries.…

We developed a framework for characterizing an institution's quantitative skills/reasoning support ecosystem to consider how various activities contribute to student success in areas connected to students' quantitative preparation. Through discussions with faculty and staff stakeholders at eight selective small liberal arts colleges, we…

STEAM (Science, Technology, Engineering, Arts and Mathematics) Education is one of the approaches that teachers adopt as they shift from content delivery focused teaching to skills development teaching. Also, effective STEAMING requires connection to issues outside the classroom (outdoor STEAM) and hence the coinage of the term Transdisciplinary…