This paper contains an analysis of some early thinking of 94 young children aged 5 years 7 months to 6 years 5 months. These children were interviewed as part of a larger study of the multiplicative thinking of children who were midway through their first year of school in Australia. They had not been formally taught multiplication or division at…

Providing realistic solutions for word problems proves to be challenging. A possible explanation is the influence of individual's expectations and beliefs about word problems. This explanation was tested in the present study in an out-of-school context. Specifically, the study assessed effects of (1) prompting participants to make realistic…

Author Pam Harris argues that teaching real math--math that is free of distortions--will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math…

Vertical scales are intended to establish a common metric for scores on test forms targeting different levels of development in a specified domain. They are often constructed using common item, nonequivalent group designs that implicitly rely on the linking items being effectively free from differential item functioning (DIF) or the DIF being…

In the United States the color red has come to represent the Republican party, and blue the Democratic party, in maps of voting patterns. Here we test the hypothesis that voting maps dichotomized into red and blue states leads people to overestimate political polarization compared to maps in which states are represented with continuous gradations…

Using linked data from the Millennium Cohort Study and National Pupil Database (N = 8,139), this study examined how the timing of school absences (years 1 to 11 between 2006 and 2017) affects achievement at the end of compulsory schooling in England. Absences during any school year are harmful to student achievement. However, absences in years 1…

Speciality choice is an important decision for doctors, often starting during medical school. In Nigeria, where the doctor-to-population ratio is low and worsened by emigration, understanding medical students' speciality preferences can inform strategies to ensure a balanced distribution of specialists. A total of 500 pre-tested semi-structured…

The purpose of this study was to examine the relationship between nutrition knowledge and dietary behavior while controlling for academic major, year, and gender among Division III student-athletes. Sufficient nutrition is essential for athletic performance, injury reduction, and overall health. However, student-athletes face unique challenges…

Objective: College students, particularly first-year students, are at risk for alcohol misuse and alcohol-related consequences (e.g., condomless sex). Our objective was to determine if first- and second-year students were more or less likely to report any act of condomless sex under the influence of alcohol than third- and fourth-year students.…

This article examines the integration of financial numeracy in secondary mathematics textbooks. It addresses the gap in literature on how financial concepts are portrayed in textbooks, contributing to the establishment of financial numeracy as a field of research and practice. The study analyzed financial numeracy tasks in three published textbook…

Purpose: The study aims to investigate the developmental process of producing morphological word patterns of verbs (such as /[foreign characters omitted]/, which means "he produced") versus nouns (such as /[foreign characters omitted]/, which means "factory") among Arabic-speaking children from first to sixth grades, including…

This research aimed to investigate the relationship between the digital literacy levels of university students enrolled in art education and their attitudes towards Artificial Intelligence (AI) technologies. The study utilized a relational survey model and was conducted with a total of 229 students studying in fine arts, music, visual arts…

The current research aimed to unpack teachers' knowledge of integers by investigating how they used the number line and counter models to represent the two meanings of division (i.e., partitive and measurement). The participants were three middle school mathematics teachers working in different cities in Türkiye. Data consisted of teachers'…

We present an external close replication of the 1985 Fischbein et al. study about intuitive models of multiplication and division. We administered two batteries of mathematics items developed in the original study, via a spiralling process, to a quota sample of 903 students attending grade 7. Compared with the analytic strategy based on the count…

The purpose of this research was to investigate students' mathematical understandings of fraction division with an ethnomathematics/STEM framework. A small group teaching study (Cobb et al., 2003) was conducted using design research methodology to examine how students interacted with the curriculum. The researcher served as interventionist and…