The main purpose of this research is to examine the informal strategies of fifth and sixth grade students while solving inverse proportional word problems. Multiple case study was used in this study. The research was carried out in a public middle school from a southern city of Türkiye. The participants of the research consist of three fifth and…

This paper examined the ability of students to pose a problem in a free posing situation about sets in terms of the problem text, compatibility with mathematics principles, the problem type and structure, solvability, and mathematical complexity. Additionally, students were probed to determine the difficulties they encountered during the problem…

In this study, we aim to investigate activities using models in a design project in three technology classrooms. Activities that use models are important for students' development of knowledge and skills connected to the design process. Nevertheless, few empirical studies have thus far examined how models and modelling are used in a classroom…

The level of arithmetic knowledge of a high school student was explored when solving additive word problems considering the semantic structure and syntactic component. The methodology was qualitative and developed in four stages: the first is the selection of the participant, the second is the design of a questionnaire with twenty additive…

This study aimed to interpret and describe students' mathematical thinking processes of non-routine mathematical problems that were solved based on didactic situation theory. This study uses a qualitative method, a phenomenological hermeneutics study for grade 8 students at a junior high school in Banda Aceh in the 2021-2022 academic year.…

This investigation explores the relationship between the use of digital pencil and mathematical problem-solving accuracy among 1,530 students with learning disabilities (LD) and 25,400 general education (GE) peers from the 2017 digital National Assessment of Educational Progress mathematics assessment. The term "digital pencil" in this…

Mathematics pre-service teachers (PSTs) need opportunities to learn best practices in teaching mathematics, e.g., productive struggle. Productive struggle happens when students work through challenging problems that are not straightforward. This paper describes mathematics PSTs' engagement with productive struggle in a mathematics methods course.…

Although student covariation reasoning has been explored in depth to improve understanding of the correspondence between variables, research has focused on studying existing reasoning about variables in Cartesian representations. The working method had a qualitative approach, with a descriptive exploratory scope, the spontaneous representations…

Pedigree problems are typical tasks in school genetics classes. However, they are perceived as difficult and often are not successfully completed. Therefore, the purpose of this study is to determine relevant factors that might have an impact on success in pedigree analysis. Based on previous research, we investigate the influence of the…

Teaching is a process for which its plan should contain reflection onto previous experience. With that in mind, teaching situations should be continuously researched and improved in accordance with the research results. Led by this thought and the fact that students are uncritically using visualization to solve mathematical problems, we defined…

In this paper, we consider the issues involved in creating appropriate problems for a popular mathematics competition, and how such problems differ from problems typically encountered in a classroom. We discuss the differences and similarities in school curricula versus the generally agreed upon topics encountered in international competitions.…

Collaborative problem solving (CPS) is inherently an interactive, conjoint, dual-strand process that considers how a student reasons about a problem as well as how s/he interacts with others to regulate social processes and exchange information (OECD, 2013). Measuring CPS skills presents a challenge for obtaining consistent, accurate, and reliable…

The worked example effect has been well documented within the framework of Cognitive Load Theory (CLT), which suggests that teaching with examples would be superior to engaging in unguided problem solving, particularly for novices, as using worked examples would reduce their cognitive load, compared to solving problems, thus facilitating knowledge…

Self-regulated learning (SRL) represents a necessary fundamental 21st century skill for children and adolescents and is essential for the development of gifted students. This study explored mathematically gifted (MG) junior high school students' SRL capabilities while solving mathematical problems compared to typical achievers (TAs). A sample of…

Escape rooms are collaborative puzzle solving activities that require the participants to utilize logical reasoning and teamwork. With a slight refocusing on previously acquired knowledge, escape rooms can also be used to test and promote learning of certain topics. This paper describes the development of a one-hour in-person STEM focused escape…