This study examined the types of representations that primary school children create in solving different types of problems, the relationship between these types of representations, and the accuracy rates in solving the problems. The study was conducted with 80 students attending primary school's 2nd and 3rd grades. An achievement test prepared by…

Problem-based learning (PBL) is linked to developing learners' creative thinking in mathematics. This process-oriented approach capitalizes on using problems to stimulate learning through independent and collaborative investigations. This meta-analysis looked at the effectiveness of using PBL to influence mathematical creativity. Fifteen results…

One of the reasons why students fail in mathematics courses is that the problems used in the lessons are abstract. In this context, it is important to embody the problems used in the lessons. Fermi problems are open-ended problems, a type of problem that reflects real-life situations that are solved by making a series of predictions. In the…

This paper investigates the connection between the spiral teaching method and mathematical rigor in K-12 education. Defining rigor as a balanced integration of conceptual understanding, application, and procedural fluency (contrasting it with rote learning), the paper posits that the spiral approach cultivates this rigor. By revisiting…

This study aimed to reveal the solutions of pre-service teachers to contextual problems related to number bases other than the base ten. Furthermore, it was intended to investigate which issues pre-service teachers discussed about their learning in the problem-solving process, including context, and about student learning in their future teaching…

Educational institutions around the world have been integrating AI into their educational practices. Many studies and reports highlight both the advantages and disadvantages of this integration. This paper focuses on the positive aspects of AI in education, specifically through the lens of a high school geometry project at a technology-focused…

Learning problem-solving skills emphasizes reasoning abilities to determine conclusions based on-premises, determining alternative solutions in decision making, thinking creatively in building alternatives to get keys, and critical thinking to evaluate the best solutions in answering problems. This study aims to identify biased publications using…

The aim of this paper is to share part of an ongoing study in which we are interested in introducing a Gallery Walk (GW) as an instructional strategy to contemplate in the classroom, in the context of preservice teacher training for elementary education (6-12 years old), to promote students' mathematical knowledge and skills, through problem…

Mathematics word-problems continue to be an insurmountable challenge for many middle school students. Educators have used pictorial and schematic illustrations within the classroom to help students visualize these problems. However, the data shows that pictorial representations can be more harmful than helpful in that they only display objects or…

The purpose of this study was to examine four pre-service middle and high school mathematics teachers' understanding of the directly and inversely proportional relationships presented through hands-on and real-world missing-value word problems. The problems included single and multiple proportions, and the PSTs were provided with plastic gears and…

Argumentation, as a kind of classroom discourse, is beneficial for establishing mathematical knowledge taking place in classroom conversations. It can enhance learners' development of subject matter knowledge. Hence, this case study was designed to examine the effect of argumentations on developing subject matter knowledge in detail in…

The ubiquity of the subject of percentages in our everyday life demands that math teachers and pre-service math teachers demonstrate a profound knowledge and thorough understanding of the concept of percentages. This work, which originated from one specific lesson in an 8th grade math class, studies the conceptual understanding and problem-solving…

This research was carried out to investigate the effect of graphing calculator program supported problem solving instruction on mathematical achievement and attitude in transformation geometry subject. The study was carried out with 49 seventh grade students in a middle school in Balikesir province. A pre-test post-test quasi-experimental design…

This study investigated the pattern problems posed by middle school mathematics preservice teachers using multiple representations to determine both their pattern knowledge levels and their abilities to transfer this knowledge to students. The design of the study is the survey method, one of the quantitative research methods. The study group was…

The research has shown a model of learning activities that can be used to stimulate reflective abstraction in students. Reflective abstraction as a method of constructing knowledge in the Action-Process-Object-Schema theory, and is expected to occur when students are in learning activities, will be able to encourage students to make the process of…