Procedural flexibility is an important skill for algebra. Although prior work has focused on measuring students' procedural flexibility using arithmetic problems, word problems may also capture students' flexibility because of their open-ended nature. To date, no published study has examined the use of word problems as another measure of…

The paper presents an analysis of elementary grade mathematics teaching in India focusing on mathematical reasoning. Mathematical reasoning is an important tool to make sense of mathematical ideas, which in turn makes mathematics more accessible to learners and promotes social equality. The paper analyzes 112 lessons from Grades 1 to 8 by 21…

National and International standardized assessments have shown sharp differences between native and foreign students' performance in both text comprehension and mathematics. Based on the data gathered yearly by the INVALSI (Italian National Institute for the Evaluation of Educational Systems) at the national level, we performed a two-step…

This paper investigates two specific probabilistic biases which middle graders usually exhibit when reasoning about probability and randomness on assessment items. We discuss how students' reasoning about key probability concepts undergirds statistics literacy related to randomness, independence, and the likelihood of future events based on past…

As procedural flexibility, previously understood as adaptive reasoning, emerges as an important consideration in math skill development, it is important to account for executive functioning in that process as well, as executive functioning a well-researched factor in math performance. The current study, a secondary data analysis, explores how…

We examined the development of numerical magnitude representations of fractions and decimals from fourth to 12th grade. In Experiment 1, we assessed the rational number magnitude knowledge of 200 Chinese fourth, fifth, sixth, eighth, and 12th graders (92 girls and 108 boys) by presenting fraction and decimal magnitude comparison tasks as well as…

As a descriptive survey research, this study aimed to investigate the number sense skills of gifted in terms of number sense components. Participant of this research consisted of 123 gifted secondary school students, who were selected according to the convenience sampling method in Turkey. The data of this research were collected in the 2021-2022…

Gender stereotypes about science, technology, engineering, and math (STEM) are salient for children and adolescents and contribute to achievement-related disparities and inequalities in STEM participation. However, few studies have used a longitudinal design to examine changes in gender stereotypes across a range of STEM fields. In a large,…

The study tested the hypothesis that there are sex differences in the pathways to mathematical development. Three-hundred and 42 adolescents (169 boys) were assessed in various mathematics areas from arithmetic fluency to algebra across 6th to 9th grade, inclusive, and completed a battery of working memory, spatial, and intelligence measures in…

In this synthesis, we analyzed 10 prealgebraic reasoning interventions for students with mathematics difficulty (MD) in Grades 6 through 8. All interventions focused on one or more prealgebraic concepts including integer operations, algebraic expressions and equations, and functions. Of the 10 intervention studies, six employed single-case design…

The purpose of this study is to investigate the relationship between secondary school students' estimation skills, estimation skills self-efficacies and academic achievements. The research was designed in a correlational survey model, one of the quantitative research models and it was carried out in Adana, a city in the Mediterranean Region during…

Improving children's "number sense" has been a core component of recent mathematics curricular and instructional reforms (CCSS, 2010; NCTM, 2000, 2014) in the United States. Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient…

The intent of inclusive practices is to support learning for all students, both with and without disabilities, who are to be given the expected benefits from inclusive settings that promote success for them. Yet, there is little known about the effects that this compositional change in education has upon students without disabilities. Little…

This study was conducted with students attending middle schools in the province of Istanbul in Turkey in order to examine middle school students' visual mathematics literacy self-efficacy perceptions and their self-efficacy in geometry. Research data were collected using the 'Visual Mathematics Literacy Self-Efficacy Perceptions Scale' and the…

Pursuant to the criterion of fluency, two types of mathematical achievement tests were used in the present study: simple subtraction (to measure mathematical fluency) and number series completion (to serve as a nonfluency mathematics test). A cohort of 223 d/Deaf and hard of hearing (d/Dhh) students in grades 3-9 in special education schools took…