Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free problems is suggested since it can minimize cognitive…

In classroom learning, students need mathematical cognitive flexibility to be able to solve mathematical problems with the various ideas they express. To solve the problems, they must be able to grasp the problem, see it from various points of view, and should not be rigid thinking with one solving method. In fact, the students still lack the…

This paper describes a project that sought to simultaneously facilitate the mathematical learning of both preservice teachers (PSTs) and schoolchildren. The project involved the organization of community Math Stations related to research-based number sense activities and was integrated within two university-level courses. This article describes…

This systematic review provides a synthesis of intervention research that taught mathematical word problem solving skills to students with autism spectrum disorder between 1975 and April of 2020 by evaluating the body of research in terms of "what works", "for whom" and "under what conditions". The Council for…

In the study reported on here I evaluated the alignment between the Annual National Assessment (ANA) and Trends in International Mathematics and Science Study (TIMSS). Theoretical perspectives were drawn from the Survey Enacted Curriculum (SEC), while quantitative correlational methods were used to determine the alignment between ANA and TIMSS…

Understanding equivalence is fundamental to STEM disciplines, yet misunderstandings and misconceptions inhibit students from fully appreciating or leveraging the concept. Using the game-based algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among…

Interpreting findings from the numerous research studies that identify meta-variables linked with attitudes toward mathematics and their connections to achievement is complicated by the lack of theoretical clarity around the construct of attitudes. This mixed-methods multiple-case phenomenological study expands the body of research that describes…

The 43rd meeting of Canadian Mathematics Education Study Group (CMESG) was held at St. Francis Xavier University in Antigonish, Nova Scotia (May 31-June 4, 2019). This meeting marked only the third time CMESG/GCEDM (Groupe Canadien d'Étude en Didactique des Mathématiques) had been held in Nova Scotia (1996, 2003), and the first time it had been…

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.,…

In mathematics, problem-solving can be considered to be one of the most important skills students need to develop, because it allows them to deal with increasingly intricate mathematical and real-life issues. Often, teachers attempt to try to link a problem with a drawn diagram or picture. Despite these diagrams, whether given or constructed, the…

This study examined the relationship between mathematics achievement and mathematics problem-solving efficacy sources. A cluster sample of 123 first year prospective teachers of a Philippine higher education institution responded to a 30-item problem-solving efficacy scales and took the teacher-made tests in Mathematics in the Modern World course;…

How can a student experience what happens in the mind of a mathematician while solving a problem? In this paper we discuss a theoretical design of an educational script, based on digital interactive storytelling. Parallel to Docter's 'Inside Out', the cognitive functions occurring in problem solving become characters of a story-problem. Students…

Decades of research have established that solving geometry proof problems is a challenging endeavor for many students. Consequently, researchers have called for investigations that explore which aspects of proving in geometry are difficult and why this is the case. Here, results from a set of 20 interviews with students who were taught proof in…

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…

The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…