Multilevel factor mixture modeling (FMM) is a hybrid of multilevel confirmatory factor analysis (CFA) and multilevel latent class analysis (LCA). It allows researchers to examine population heterogeneity at the within level, between level, or both levels. This tutorial focuses on explicating the model specification of multilevel FMM that considers…

Fuzzy regression-discontinuity evaluations of college remediation often find negative and null estimates of local average treatments effects (LATEs), but with substantial heterogeneity. We find that a remedial quantitative skills course at Wellesley College has a modestly positive LATE on participation in mathematically intensive fields of…

The research aims to develop a Mathematical Cognitive Test (MCT) within the context of the Jember agricultural environment to improve the Mathematical Connection Ability (MCA) of high school students. This MCT was developed using the Thiagarajan 4D model, which consists of the define, design, develop, and disseminate stages. The research subjects…

The purpose of the study was to determine ways to improve the organisation of independent work in mathematical disciplines at the university, its theoretical substantiation and the development of its methodological system. This study consisted of two parts: theoretical and practical. The theoretical part was based on the use of general theoretical…

Background: Educational technologies typically provide teachers with analytics regarding student proficiency, but few digital tools provide teachers with process-based information about students' variable problem-solving strategies as they solve problems. Utilising design thinking and co-designing with teachers can provide insight to researchers…

Several researchers have called for schools to interpret universal screening results using posterior probabilities. Following this recommendation could require schools to move away from direct-route, single-measure screening unless base rates of risk fall within a narrow range. In this descriptive study, we investigated two questions surrounding…

The invention of problems is a fundamental competence that enhances the didactic-mathematical knowledge of mathematics teachers and therefore should be an objective in teacher training plans. In this paper, we revise different proposals for categorizing problem-creation activities and propose a theoretical model for problem posing that, based on…

Reasoning is the process of thinking used to make claims and reach conclusions. It is among the first skills that should be taught to students in mathematics lessons and contributes to the creation and development of mathematical foundations. This study identifies evolution and trends in research on mathematical reasoning over the last four…

Understanding part-whole relations is crucial in early mathematics education. However, both analogue and digital learning environments often lack systematic approaches to foster part-whole understanding. With the rising popularity of educational apps, it is essential to evaluate how they implement learning of part-whole relations. Accordingly,…

In this study, it was aimed to determine the relationship between primary school 4th grade students' reading comprehension level and mathematics course success. The study group of the research consists of 80 students selected by purposive sampling method, studying in the 4th grade of official institutions in the Pazar district of Tokat province.…

Mathematical ideas are developed and spread during argumentative whole class discussions between a teacher and her students. The goal of the current study is to characterize how ideas about quadratic functions emerge and are spread during a whole-class discussion among ninth graders. To this end, we recorded both discussions between pairs of…

Beginning in 2019, California community colleges were required to use multiple measures to determine students' placement into initial math courses. Community colleges also created structured BSTEM and liberal arts (SLAM) math pathways beginning in 2017. This contemporaneous implementation could reproduce racialized stratification in math…

Virtual reality (VR) has gained prominence and a growing prevalence. However, parental attitudes toward using VR for educational purposes (i.e., educational VR (EVR)) are under-researched. This study investigates parents' perceptions and experiences regarding the use of EVR, focussing on mathematics learning. Using the technology acceptance model…

Examples play a variety of roles in proving and disproving. Buchbinder and Zaslavsky (2019) have produced an a priori mathematical framework for assessing students' understanding of the role of examples when proving and disproving universal and existential statements. In this paper, I highlight three important aspects that suggest an extension of…

Curricula in different countries emphasize that teachers implement problem-based learning (PBL) practices to develop students with problem-solving skills and enhance their academic performance. However, several studies have revealed that academic performance among students, particularly in mathematics, is low, particularly in Tanzania. Using a…