During a time when students are accessing instruction virtually because of COVID-19, reflecting on the sixth of the Standards for Mathematical Practice (SMP 6) is a vital step for educators to take. Although the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010) identifies SMP 6 as Attend to precision, associated expertise…

In the present study, the relationship between the mathematics grade and the three basic cognitive abilities (inhibition, working memory, and reasoning) was analyzed regarding possible alterations during elementary school. In a sample of N = 244 children, the mathematics grade was best predicted by working memory performance in the second grade…

National and state assessments show that English language learners (ELs) in elementary and secondary grades score lower in mathematics compared with their matched English proficient peers (EPs). To provide information on strategies for enhancing learning opportunities for ELs in language inclusive classrooms, we analyze the efficacy of…

This paper aims to reveal primary teachers knowledge of the quadrilaterals about the concept of quadrilaterals by examining the definitions of the quadrilaterals. A total of four primary teachers, 1 female and 3 male teachers, participated in the study which determined by maximum diversity sampling. The data collection tool consisted of four…

Educators and several national standards highlight the role that problem solving should play in students' mathematics education: problem solving is recognized as one of the most significant activities of doing mathematics. From the research point of view, nowadays, it is well established that cognitive and affective factors come into play in…

The cognitive domain in mathematics, defined as thinking and understanding in the process of learning mathematics, is a main focus of curricula in many countries. This study explores breadth and depth of understanding as addressed in mathematics textbooks certified as aligned to Israeli national mathematics curricula. We compare opportunities for…

Although the majority of elementary school teachers are in self-contained classrooms and teach all major subjects, a growing number of teachers specialize in teaching fewer subjects to higher numbers of students. We use administrative data from Indiana to estimate the effect of teacher specialization on teacher and school effectiveness in…

The aim of this study is to investigate the effect of Universal Design for Learning on students' academic achievement and attitudes towards mathematics course, and to reveal the opinions of the students about Universal Design for Learning. In this study, the concurrent embedded strategy was used. The participants consisted of 33 primary school…

Although mathematics development research has become more prominent in the school psychology literature in recent years, a large research gap in this area exists regarding English language learners (ELLs). Significant research in education, cognitive science, and psychology has been devoted to understanding the links between language and…

The International Association for the Evaluation of Educational Achievement (IEA) Research for Education series represents a further effort by IEA to capitalize on it's unique datasets, so as to provide powerful information for policymakers and researchers. Each report focuses on a specific topic and is produced by a dedicated team of leading…

When the focus of instruction is on learning to use mathematical tools--such as a ruler or a calculator--as a procedure, students tend not to incorporate their own mathematical reasoning. This unreflective use of tools hinders students' questioning of the reasonableness of their answers. This article describes how children expressed their…

The aim of this study is to better understand the notion of early algebraic thinking by describing differences in grade 4-7 students' thinking about basic algebraic concepts. To achieve this goal, one test that involved generalized arithmetic, functional thinking, and modeling tasks, was administered to 684 students from these grades. Quantitative…

The purpose of this study was to determine the impact of technology use and teacher professional development on students' mathematics academic achievement. The U.S. Department of Education National Assessment of Educational Progress (NAEP) published results for mathematics assessments for Grade 4 from the years 2005-2015 served as the dependent…

The current study aimed to investigate the relation between conditional reasoning, which is a common type of logical reasoning, and children's mathematical problem solving. A sample of 124 fourth graders was tested for their conditional reasoning skills and their mathematical problem solving skills, as well as a list of control variables (e.g.,…

Today in the field of education, as a result of the accountability movement, public school administrators, teachers, students, and parents are faced with continuous pressure to raise standardized test scores. Test performance has become a sole criterion for measuring academic achievement, specifically, the measurement of growth of individual…