In an effort to expand our knowledge base pertaining to pre-K-8 prospective teachers' understanding of fractions, the present study was designed to extend the work on fractions schemes and operations to this population. One purpose of our study was to validate the fractions schemes and operations hierarchy with the pre-K-8 prospective teacher…

The article deals with social, psychological and pedagogical aspects of teaching mathematics students at universities. The sociological portrait and the factors influencing a career choice of a mathematician have been investigated through the survey results of 198 first-year students of applied mathematics major at 27 state universities (Russia).…

The term "polymath" refers to a person whose expertise approaches different subject areas, to rely on complex packages of knowledge for solving problems. Famous polymaths from history include Galileo Galilei, Leonardo da Vinci, Mozart, and Albert Einstein; individuals that have impacted science, arts, humanities, and our society for…

We draw on a rehumanizing perspective that covets a student-centered viewpoint around the discipline of mathematics. For Latinx bilinguals, we posit that a translanguaging practice is a vital option by which collective perseverance during problem solving can be sustained and leveraged for meaningful learning. This study explores and examines the…

This study examines whether self-concept of ability in math and reading predicts later math and reading attainment across different levels of achievement. Data from three large-scale longitudinal data sets, the Avon Longitudinal Study of Parents and Children, National Institute of Child Health and Human Development--Study of Early Child Care and…

The study of correlation between metacognitive skills and reasoning skills on problem solving ability simultaneously in class used PBL learning model is still less. This study aims to reveal the relationship between metacognitive skills and reasoning skills on problem solving ability of the students in STKIP Persada Khatulistiwa Sintang in…

In the United States, after approximately 90 days of English language programs, refugee adults are placed in the mainstream, where they face enormous challenges including navigating bus schedules, buying groceries with a different monetary system, shopping for necessities, and applying for needed social services. The complexity of the mathematics…

The number line estimation task is widely used to investigate mathematical learning and development. The present meta-analysis statistically synthesized the extensive evidence on the correlation between number line estimation and broader mathematical competence. Averaged over 263 effect sizes with 10,576 participants with sample mean ages from 4…

Although "Girls are as good as boys at math" explicitly expresses equality, we predict it could nevertheless suggest that boys have more raw talent. In statements with this subject-complement structure, the item in the complement position serves as the reference point and is thus considered more typical and prominent. This explains why…

This article explores 6th-grade students' modelling with data in generating models for selecting an Australian swimming team for the (then) forthcoming 2016 Olympics, using data on swimmers' times at various previous events. We propose a modelling framework comprising four components: working in shared problem spaces between mathematics and…

Numerous studies have shown that mathematical knowledge is situational, meaning that students' abilities to transfer and apply skills depends on the conditions in which they were learned (Barab 1999; Boaler 2002, 2016). Given that the real world seldom presents problems that are confined to a single discipline (Barab 1999), it is imperative that…

Many school districts in North Carolina are striving to increase proficiency levels in mathematics. With the implementation of the Common Core State Standards, mathematics standards have changed drastically and students are expected to solve complex multi-step word problems and explain how they solved them. As a result, teachers equally need a…

Over the past decade, there have been a number of shifts in the expectations we have for student learning, of student teachers on graduation and of teachers. University-based teacher educators need to be able to support teachers to respond to these changes, while simultaneously meeting the expectations associated with their university roles. In…

Reasoning about numerical magnitudes is a key aspect of mathematics learning. Most research examining the relation of magnitude understanding to general mathematics achievement has focused on whole number and fraction magnitudes. The present longitudinal study (N=435) used a 3-step latent class analysis to examine reasoning about magnitudes on a…

"Catalyzing Change in High School Mathematics: Initiating Critical Conversations" identifies and addresses critical challenges in high school mathematics to ensure that each and every student has the mathematical experiences necessary for his or her future personal and professional success. These challenges include: (1) explicitly…