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…

Much attention has been paid to computational thinking (CT) as a problem-solving approach across various curricula, particularly in mathematics. Most studies solely used a digital instrument or examined transfer of program solving ability, neglecting the mathematics knowledge domain or how the novel digital instrument functions alongside the…

Although culturally responsive mathematics teaching is important, post-secondary education for preservice teachers (PTs) does not typically lead to learning opportunities for them to use mathematics to recognize the roles of social agents. To address this issue, we created a culturally responsive mathematical modeling task in which we invited PTs…

The cultural diversity of Malaysia gives a way to three types of public primary schools which vary in terms of cultural and medium of instruction. This study aimed to explore the difference between the performance of grade four primary students from the rural region of Malaysia in solving word problems involving measurement formula and higher…

The present study aimed to describe teachers' instructional flows when implementing a mathematical problem-posing task using scriptwriting technique. With matchsticks, a growing pattern that increases by a constant unit was created and presented to the teachers as a problem-posing situation. We analyzed the instructional flows in 50 scripts,…

Differential equations (DEs) are a powerful tool for modeling real-world contexts. Most research in this area has examined students' understanding and reasoning with pre-packaged DEs, with little attention being given to setting up sophisticated DEs to model complicated real-world situations. This study contributes through a collective case study…

In this article, we examine how 10th graders make use of different intertwined representations when solving algebraic word problems. It is structured in a quantitative phase, with 61 students and a subsequent follow-up case study with nine pairs of students. We found that drawings and tables, used as auxiliary representations within variants of…

The present study aims to describe and characterize the insights of elementary school students during the collaborative solving of mathematics problems. A total of 10 elementary school 60-min math classes were analyzed, with each session documented by videotaping the interaction of groups of 3 to 6 children. The study included 41 students in total…

The learning of mathematics poses specific linguistic challenges. Amongst them, teachers and students need to be able to unpack the language used in mathematics word problems to understand its context, discern the relationships between the known and unknown information, and identify relevant solution strategies. Prior research has described some…

This study aimed to design a task in an everyday context to support high school students' exploration of the truth values of propositional conditionals and to understand their difficulties. The results showed that students could identify that the truth value of a propositional conditional is determined by two variables (the truth values of the…

Problem-solving is, by nature, a creative process which, by teaching through the implementation of research and discovery activities, allows students to create their knowledge, revise it and link it to broader systems. The aim of the research was to describe and analyse the process of solving biological problems through activities that are…

This study examined the relationship between mathematics achievement and epistemic actions. Cognitive actions that are observed as outcomes of using intellectual resources are referred to as epistemic actions in this study. We focused on four epistemic actions as follows: "selecting," "analyzing," "computing," and…

Success in problem-based learning requires both strong information literacy to search for, evaluate, and use information effectively, and argumentation skills to generate coherent arguments. This study investigated the positive and negative effects of computer-based scaffolding to support high-school credit recovery students' information literacy…

This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…

The aim of this study was to examine how pre-service teachers performed in tasks related to three specific aspects of curricular noticing. The participants completed a two-part written task in which they solved three pattern generalization problems and sequenced them for teaching purposes. Inductive content analysis was used to analyze the…