The Pythagorean theorem and the ability to abstract are two important elements in mathematics, but they actually become problems. Therefore, this study aims to determine the impact of digital learning materials based on deep learning integrated with "Batak" culture on students' abstraction abilities in Pythagorean theorem learning. This…

The purpose of this study was to support the development of mathematics and self-determination skills of young adults with extensive support needs. Mathematical problem solving is a natural context for teaching two component skills of self-determination: self-monitoring and goal setting. Three young adults with extensive support needs (i.e.,…

Computational thinking and activity are vital aspects of what it means to conduct scientific and mathematical work. In light of this, some propose that students' mathematical education should include an integration of computing into their mathematical experiences, giving students opportunities to engage with computational tools as they reason…

Most studies on the subject have investigated relations between home math activities and child math skills, without paying much attention to the specific skills that such activities foster and their alignment with children's math assessments. The present study examined specific relations between subdomains of home math activities and children's…

Fractions are a very important but difficult topic in elementary and secondary mathematics curricula around the world. The difficulty in teaching and learning fractions is usually caused by their various subconstructs. To facilitate learning of fractions, a test consisting of 20 items was developed to examine 310 sixth graders' hierarchical…

Evidence for associations between spatial skills and mathematics has led to the argument that spatial visualization plays a role in mathematical calculation. However, there is no single accepted definition of what spatial visualization encompasses. Here, we investigated spatial visualization in the context of a mental imagery framework. We applied…

This study investigates how three widely used calculus textbooks realise integrals as a potential to prompt mathematical competencies, adapting the rating scheme used in Boesen et al. ("The Journal of Mathematical Behavior," 33:72-87, 2014), Pettersen and Braeken ("International Journal of Science and Mathematics Education,"…

The published study of Nurrenbern and Pickering in 1987 raises awareness among chemistry educators that students' success in answering numerical questions does not necessarily reflect their degree of understanding of the related chemical concepts. Efforts have been made to provide more opportunities for students to improve their ability in…

Several studies have shown that children do not only erroneously use additive reasoning in proportional word problems, but also erroneously use proportional reasoning in additive word problems. Traditionally, these errors were contributed to a lack of calculation and discrimination skills. Recent research evidence puts forward an additional…

Making drawings can help students avoid and overcome difficulties they encounter when solving real-world (or modeling) problems. However, many students do not make drawings spontaneously. In the present study, 132 students in Grades 9 and 10 were randomly assigned to the experimental conditions "with situational or mathematical drawing…

Educational interventions are frequently designed to occur during early childhood, based on the idea that earlier intervention will have greater long-term academic benefits. However, surprisingly little is known about when cognitive and academic skills are most plastic, or malleable, during development. One way to study plasticity is to ask…

A challenge for prospective teachers (PTs) is to determine what students know about a topic through asking appropriate questions and being thoughtful about the wording of these questions so as to capture and reframe students' spontaneous mathematical thinking and eventually unriddle the fuzzy boundary of students' complex thinking. This study…

Computational estimation is seen as an important mathematical competence. Little is known, however, about the mathematical skills that are predictive of early computational estimation development. The current study longitudinally followed a group of about 350 children at four time points: second (K2, 4-year-olds) and third grades of kindergarten…

The aim of this study is to examine if differentiated instruction benefits the mathematical thinking process of gifted and talented students in Malaysia. Differentiated instruction is a student-centered technique in which instructors act as facilitators. It is doubtful, however, if differentiated instruction has a beneficial effect on the overall…

This study aims to determine pre-service teachers' perceptions from different disciplines about number sense and reveal the strategies used to serve the components of number sense. The study is designed qualitatively, according to the phenomenology design. The study group consisted of a total of 265 pre-service teachers, 92 from Preschool…