This research aims to determine second-year university students' understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of…

In Asia, some children are taught a calculation technique known as the 'mental abacus'. Previous research indicated that mental abacus experts can perform extraordinary feats of mental arithmetic, but it disagrees as to whether the technique improves working memory. The present study extended and clarified these findings by contrasting performance…

Continuing to study mathematics throughout schooling is considered important in most developed countries, where mathematics is incorporated within the curriculum until school-leaving age. By comparison, in England, relatively few post-16 (upper secondary) students study mathematics once it becomes optional. Core Maths qualifications, introduced in…

The aim of this study is to develop a rubric to assess mathematical reasoning competence. Since the aim is to assess a competency, the frameworks of the PISA exams in the literature, which give an important place to competencies, have been examined. Due to its focus and in-depth analysis of mathematical reasoning, each of the actions expected from…

A number of areas of difficulty in basic numeracy and mathematical skills were identified, which hinder students' success in a foundational biochemistry course. Many students have difficulty with the concepts of pH and buffers (requiring proficiency with logarithms) and enzyme kinetics (requiring algebraic manipulations and graphing). The…

The algebraic structure is one of the axiomatic mathematical materials that consists of definitions and theorems. Learning algebraic structure will facilitate the development of logical reasoning, hence facilitating the study of other aspects of axiomatic mathematics. Even with this, several researchers say a lack of algebraic structure sense is a…

The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…

The purpose of this quantitative comparative study was to identify if and to what extent average mathematics self-efficacy is different in college STEM female students in Virginia by ethnicity and academic level and whether ethnicity-academic level interaction has effect on mathematics self-efficacy. This study was guided by self-efficacy theory,…

Background: Dual language learners (DLLs) -- young children learning and developing in two or more languages -- comprise a third of the U.S. preschool and early elementary student population (MPI Data Hub, 2020). Therefore, identifying the most promising, empirically informed practices to promote DLLs' development is of critical importance.…

The long-term negative consequences of learning difficulties have been acknowledged. Nonetheless, research is still scarce regarding the prediction of adolescent difficulties in reading and arithmetic skills. The present study examines at which age phase and with what kind of constellation of parent- and child-related factors can adolescent…

Adult education programs play a pivotal role in closing skills gaps, strengthening the workforce, and bolstering the U.S. economy. Persistence in this type of programming can influence educational and long-term employment outcomes. At the same time, persistence itself can be influenced by a multitude of individual and contextual factors. Adult…

National Science Foundation (NSF) funded Research Experiences for Teachers (RET) programs provide opportunities for professional development for teachers. The goal of the RET site at North Dakota State University (NDSU), established in May 2020 (NSF Awards #1953102 and #2224135), was to increase the knowledge of secondary (6th to 12th grade)…

Early mathematical skills contribute to later school performance and socio-economic status. Working memory is related to mathematical skills, but spatial and language skills have independent effects on separate areas of mathematical skills such as solving word problems or arithmetic skills. In this study, 9- to 10-year-old children's (N = 57)…

Mastery learning improves learning proficiency and efficiency. However, the overpractice of skills--students spending time on skills they have already mastered--remains a fundamental challenge for tutoring systems. Previous research has reduced overpractice through the development of better problem selection algorithms and the authoring of focused…

Unfortunately, too many young people come to Algebra I with significant gaps due to instructional inconsistencies and interruptions in their mathematics learning over several years. Given the long-term impact of academic success on young people's lives, it is critical to help more students succeed in Algebra I. TNTP asked the question: "How…