Geometry education is an important aspect of science, technology, engineering, and mathematics (STEM) education, but it is often overlooked in K-12 education in the United States. Chunking strategy reduces the cognitive load demanded in the processing of information, and it has been applied as a testing accommodation for high school students with…

This essay examines how line graphs functioned as markers of status and authority in early 20th-century America, distinguishing intellectual elites from ordinary citizens. Despite education reformers' efforts to democratize functional thinking and graphical representation in the first decades of the century, line graphs retained their position as…

This article explores the complex relationship between gender, mathematical self-concept, and choosing to pursue a STEM degree program in Austria. Additionally, it evaluates the accuracy of mathematical self-perception relative to performance across genders. Employing quantitative methodologies including linear mixed-effects models, matching…

Individual differences in mathematical skills emerge early and are influenced by a range of cognitive and environmental factors. One of these is the Home Mathematics Environment (HME), which includes adult-child mathematics talk. Nevertheless, large variations in methods used to investigate and code adult-child mathematics talk exist. We conducted…

In this study STEM activities created with the 5E learning model were applied to 4th grade primary school students and the effects of these activities on the students' mathematics problem solving-skills and attitudes towards mathematics were examined. A quasi-experimental design with a pre-test-post-test control group was used in the study. The…

Background/purpose: This research aims to classify and show the characteristics of the types of abstract thinking students use when solving mathematical problems. Materials/methods: This descriptive qualitative research was conducted in a structured manner on students of the University of Muhammadiyah Surakarta, Faculty of Teacher Training and…

Background: People report negative attitudes towards fractions and percentages relative to whole numbers (WNs, Sidney, Thompson, Fitzsimmons, & Taber, 2021), and these attitudes may relate to an individual's interpretation of what experiences with these number types signify. Because fractions are challenging, individual differences related to…

When students are learning to use math in physics, one of the most important ideas they need to learn is that equations are not just calculational tools; they represent relationships between physical variables that change together (co-vary). How much a change in one variable or parameter is associated with a change in another depends on how they…

This manuscript contributes to research on how algebraic thinking about operations and properties can develop, and relevant forms of curricular activity. The key question asked is: how can students' early algebraic activity be fostered through focusing on relations involving operations and properties? We adopt Radford's three aspects of algebraic…

A significant ongoing initiative is to identify the conditions under which financial education is most effective, as it has been shown to work much better in some circumstances than others. One factor to consider is mathematical capability, as it has been linked to improved financial knowledge and financial outcomes. In this paper, we investigated…

In this paper, we present a way of describing variation in young children's learning of elementary arithmetic within the number range 1-10. Our aim is to reveal what is to be learnt and how it might be learnt by means of discerning particular aspects of numbers. The Variation theory of learning informs the analysis of 2184 observations of 4- to…

The role of probability in curricula for children has fluctuated greatly over the past several decades. Recently, some countries have removed probability from their preschool and primary curricula, and others have retained it. One reason for such lack of agreement is that theory about early probability learning is still relatively new and under…

Complementary to existing "normative" models, in this paper we suggest a descriptive phase model of problem solving. Real, not ideal, problem-solving processes contain errors, detours, and cycles, and they do not follow a predetermined sequence, as is presumed in normative models. To represent and emphasize the non-linearity of empirical…

This manuscript reports the results of an investigation of the simultaneous prompting procedure to teach a five-step algorithm for solving three addition basic facts. Four preschool students receiving Tier 1 services in their school's multi-tier system of supports (MTSS) framework participated. A multiple probe across participants single case…

Incremental rehearsal (IR) has consistently been shown to improve students' math fact retention and fluency (Maki et al., Journal of Behavioral Education 30:534-558, 2021). However, less is known about how intervention modifications may support longer-term skill maintenance. The purpose of this study was to compare traditional IR with a modified…