The concept of fractions given in learning is the concept of part of whole and part of unit. The development of student's concepts of fractions can be built through fraction schemes. A partitive fraction scheme is a scheme that estimates the size of the fraction in the form of non-units to the whole that is not partitioned. The concept of…

This study aimed to explore Colombian fifth-graders views about people, events, and situations involved in their gratitude experiences. The sample consisted of 120 fifth-grade children from three mixed-gender schools (one public, two private) in Bogotá, Colombia. The study used a child-centered methodology that involved a novel combination of…

The study aims to reveal students' mental models and perceptions regarding the concept of the celestial bodies, for instance, earth, sun, and moon. This research study was conducted as a case study focusing on qualitative data. This study also has used a sample formed of 5th-grade students, in the 2018-2019 academic year; the target sample is…

"Location and Transformation" skills are critical tools for navigating the world and establishing foundational steps for geometric reasoning associated with co-ordinate grids and the Cartesian plane. The contextual nature of using local landmarks to understand students' mental representation of large-scale space has the potential to…

Word problem solving skills include complex skills. Teaching word problem solving skills to students with disabilities is more difficult compared to their peers with typical development. Therefore, effective interventions need to be determined in order to teach these skills to students with disabilities. The purpose of this study is to analyze the…

The concept of angles is important for future geometric knowledge (Arslan et al., 2016; Moore, 2013; Yigit, 2014). However, although Piaget (1948) suggests angles lead to the discovery of lines, angles are typically taught later in schools, after points, lines, and planes (Charles, 2011). Therefore, the way in which angles are taught can affect…

Instruction targeting the underlying math problem structure is identified as an evidence-based practice for students with a specific learning disability (SLD). Furthermore, schema-based instruction is identified as a potentially evidence-based practice for students with a SLD. This study extended prior work by (a) using a teacher as the…

Mind maps that contain visual and verbal elements can be thought of as an effective graphical tool that can be used to reveal the existing knowledge, opinions and perceptions of individuals about a concept through mental association. In this study, the aim was to determine the mental models of middle school students related to science by using…

Within educational research, there has been an increased interest in recent years to develop learners' language awareness (LA) in the context of plurilingual education. Recommendations and intentions are given pointing to the benefits, but there are few concrete tools for how it can be carried out in practice. The article seeks to contribute to…

Student's mental representations of physical concepts are often different from those of scientists. The research aimed to identify and compare mental representations of light propagation time by school children aged 10 (132 subjects), and 14 (109 subjects) years old. This research was conducted through individual interviews in which the students…

This study applies a framework for mathematical cognition and learning (Bossé, et al., 2018a; Bossé et al., 2019; Bossé et al., 2018b) to examples of students' comprehension of geometric concepts related to angles. This framework utilizes key concepts from second language acquisition (SLA) to elucidate processes involved in mathematical learning.…

Many students identified with a specific learning disability (SLD) experience difficulty with mathematical problem solving. Schema-based instruction (SBI) is identified as a promising practice for students with a SLD. The current projects aimed to tests the efficacy of SBI implemented by a teacher under routine conditions. This extends prior…

The Common Core State Standards for Mathematics highlight the importance of not only content standards for mathematics but also mathematical practices such as communication, representation, and reasoning, skills that are often difficult for students with autism spectrum disorder (ASD). Through a single-case multiple-probe-across-participants…

This study used modified schema-based instruction (MSBI) to teach mathematical word problem solving to three students with ASD in fifth and sixth grade. Following explicit strategy instruction, the participants learned to use an 8-step task analysis and a graphic organizer to solve and discriminate between math word problems requiring algebraic…

Practicing teachers as well as researchers, mathematicians, and teacher educators have offered opinions and theoretical critiques of the multiple models used to teach integer arithmetic. Few studies, however, have investigated what students learn with models or empirically compared affordances and constraints of integer models. This led me to…