One challenge facing the fields of mathematics education and special education is how to design instruction on fraction concepts that can meet the needs of diverse learners. An innovation that shows promise is to base instructional design upon well-established trajectories of students' fraction learning. However, little research has been done to…

Reform movements in mathematics education advocate that mathematical argumentation play a central role in all classrooms. However, research shows that mathematics teachers at all grade level find it challenging to support argumentation in mathematics classrooms. This study examines the role of teachers' mathematical knowledge in teachers' support…

The purpose of this research was to describe the impact of digital game building on fourth grade gifted and talented students' problem-solving, creativity, and collaboration skills. Increasingly, there has been a call to involve students in real-world experiences through projects that explore authentic issues using technology. Game design-based…

The aim of this study is to examine the effect of the science module which was designed using the problem-based learning method on the basis of the Integrated Curriculum Model and applied in the blended learning environment on the scientific reasoning and scientific process skills of gifted students. The study was carried out with 9 gifted 5th…

Recent work has demonstrated that having students study worked examples and answer self-explanation prompts as part of their problem-solving practice improves learning on researcher-developed measures of mathematical proficiency. However, little work has been done to date to investigate whether these benefits translate to improvements on the types…

The equal symbol has been used in diverse mathematical frameworks, such as arithmetic, algebra, trigonometry, set theory, and so on. In mathematical terms, the equal sign has been used in fixed command of standings. The study reports on the students meaning and interpretations of the equal sign. The study involved Grade 6, 7, and 8 students in a…

Decision making and problem solving skills are two important issues resulting with students' academic achievement. The aim of this research was to examine the relationship between primary school students' decision making skills and problem solving skills. The sample of research, which was carried out through relational survey model, consisted of…

Mathematics education highlights the importance of helping students understand mathematical content and the ability to think critically about mathematics. Mathematical practice standards outline expectations for engaging students in meaningful mathematics activities to encourage a deep understanding of mathematical concepts and content. For some…

The main goal of the current study is to develop intervention of learning to promote students' understanding of percentage. The design of the interventions employed the spatial representation of percentage in the form of a bar model and was designed based on the pedagogical concepts of Realistic Mathematics Education (RME). The participants were…

Computational thinking (CT) is a fundamental skill and an analytical ability that children in the twenty-first century should develop. Students should begin to work with algorithmic problem-solving and computational methods in K-12. Drawing on a conceptual framework (IGGIA) that combines CT and problem-solving, this study designed and implemented…

This paper explores how learning analytics data provided by a math problem-solving educational technology platform informed 5th and 6th grade teachers' instructional decisions around socioemotional learning (SEL). MathSpring is an educational technology tool that provides teachers with data on students' effort, progress, and emotions while…

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…

This study explored how students develop meaning of functions by building on their understanding of expressions and equations. A teaching experiment using design research was conducted in a sixth-grade classroom. The data was analyzed using a grounded theory approach to provide explanations about why events occurred within this teaching episode…

Problem-solving and mathematical communication are essential skills needed by students in learning mathematics. However, empirical evidence reports that students' skills are less satisfying. Thus, this study aims to improve students' problem-solving and mathematical communication skills using a Metacognitive-Based Contextual Learning (MBCL) model.…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…