Even though algebraic ideas are addressed across a number of grades, algebra continues to serve as a gatekeeper to upper mathematics and degree attainment because of the high percentage of students that fail algebra classes and become halted in their educational progress. One reason for this is students not having the opportunity to build on their…

The understandings prospective mathematics teachers develop by focusing on quantities and quantitative relationships within real numbers have the potential for enhancing their future students' understanding of real numbers. In this article, we propose an instructional sequence that addresses quantitative relationships for the construction of real…

Our middle school mathematics department used lesson study to investigate how to introduce fractions division to our sixth-grade students. We highlight our learnings during the Study and Plan phases, describe our observations during the lesson, and provide tips for educators interested in using lesson study to study their own content.

In this study, it was aimed to investigate possible impact of using the KWL reading strategy in teaching the topic of "fractions and operations with fractions" to the 4th graders on students' problem-solving achievement. A quasi-experimental design with pretest-posttest control group (CG) was employed in the study. The study group…

The researchers conducted a microanalysis of two purposefully sampled sessions of a tutor working with a student with a learning disability (LD) engaging with multi-step equations with and without fractions. During the tutoring sessions, the student experienced quick, independent success on equations without fractions, but struggled considerably…

Abstract Assessment results are used to investigate relations between performance on a fraction number line estimation task and a circular area model estimation task for students with LD in Grades 6-8. Results indicate that students' abilities to represent fractions on number lines and on circular area models are distinct skills. In addition,…

Teachers play a major role during CSCL by monitoring and stimulating the types of interactions between students that are conducive to learning. Teacher dashboards are increasingly being developed to aid teachers in monitoring students' collaborative activities, thereby constituting a form of indirect support for CSCL in the classroom. However, the…

This study aimed to reveal the common errors in fractions, the associated thinking strategies among 5th graders, and the persistence of these errors. A quantitative method was applied in this study through calculating the percentages of every type of error the students made in the diagnostic test, The qualitative part was performed through…

This study offers an account of ways in which "ritual" (McCloskey, 2014) serves as a lens for identifying societal and cultural patterns related to mathematics teaching and learning in present-day US classrooms. We use data from an ethnographic study of a fifth grade mathematics classroom in which a student teacher and a mentor teacher…

Fractions are one of the most difficult areas of mathematics for all students and especially for students with learning disabilities (LD). An incomplete understanding of fractions during the elementary and middle school may be why some students view fractions as "really small" or "less than 1" compared to others who view them…

Background: Digital game-based learning (DGBL) has the potential to provide a gender inclusive learning environment for children. Objective: The present study aimed to explore gendered differences among primary school learners in grades three, four, and five within the context of game-based fraction learning from cognitive, motivational and…

This study presents an extension of the validity argument for the PCK-Fractions measure. PCK-Fractions is designed to assess the effectiveness of professional experiences in facilitating teachers' pedagogical content knowledge (PCK) for children's fraction reasoning in grades 3-5. We examined data across 101 participants from two Midwest…

The number one plays a special role in mathematics because it is the identity element in multiplication and division. The present findings, however, indicate that many middle school students do not demonstrate mathematical flexibility representing one as a fraction. Despite possessing explicit knowledge of fraction forms of one (e.g., 95% of…

The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…

As teachers are faced with increasing demands to meet the needs of diverse learners, such as the growing number of students with ASD, the need to accommodate each learner and provide opportunities for individualized learning becomes critical. Therefore, the aim of this A-B single-case study was to explore a variety of support strategies (e.g.,…