The purpose of this paper is to explore the importance of problem posing in learning mathematics at the compulsory education level. Despite acknowledging that children have a natural disposition to pose questions, no curricular provision currently exists for the conceptualisation and operationalisation of mathematical problem posing within…

A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by…

Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.

Climate education is increasingly being taught in schools, and groups are looking to pass climate education into law. This article looks at climate justice, a framing of the overarching climate movement, to advocate for an education that inspires action. Drawing from Freire's 'Pedagogy of the Oppressed', it makes a case for problem-posing…

This study aims to investigate how the different solutions, problem-solving strategies, and the number of strategies used by the preservice secondary school mathematics teachers on non-routine mathematical problems change according to grade levels. This study was conducted with 152 preservice teachers studying at the department of elementary…

Language plays an important role in word problem solving. Accordingly, the language in which a word problem is presented could affect its solution process. In particular, East-Asian, non-alphabetic languages are assumed to provide specific benefits for mathematics compared to Indo-European, alphabetic languages. By analyzing students' eye…

The current study is an inter-disciplinary study in which the problems posed by pre-service primary school teachers were analyzed within the context of both environment and mathematical processes. A total of 75 pre-service primary school teachers participated in the current study designed according to the case study design, one of the qualitative…

In this paper, we address the following questions: What misconceptions do high school students exhibit in their first encounter with significance test problems through a repeated sampling approach? Which theory or framework could explain the presence and features of such patterns? With brief prior instruction on the use of Fathom software to…

The article describes a prevention science approach to impacting population health. We use activities of the Missouri Prevention Science Institute that address youth mental health concerns with a public health approach to illustrate the approach. In particular, we focus on several lessons that may be relevant for advancing the success of…

The purpose of this study was to explore the paths by which word-problem intervention, with versus without embedded pre-algebraic reasoning instruction, improves word-problem performance. Students with mathematics difficulty (MD; n = 304) were randomly assigned to a business-as-usual condition or one of two variants of word-problem intervention.…

Children with intellectual disabilities experience well-documented challenges in the development of problem-solving, particularly related to mathematical word-problem solving. Such challenges are related to both linguistic and conceptual skills. While interventions to assist children in developing conceptual skills are well reported, linguistic…

Science education motivates students to be problem solvers who utilize scientific knowledge for the social problems that they encounter in their lives. However, for better solutions for the problem, just knowledge of scientific concepts would not be enough because students need to approach problems aesthetically also. Understanding social,…

Research on how university faculty design courses has been limited and marked by modest detail on faculty design processes. Addressing this gap, seven faculty members supported by an educational developer at a teaching-intensive university used collaborative autoethnography (CAE) to explain how university faculty engage in reflective, iterative…

Computational Thinking (CT) is a problem-solving process applicable across all disciplines. It has been defined as a 21st-century skill (Wing, "Communications of the ACM," 49(3), 33-35, 2006). Unfortunately, little pedagogical research is available to guide teachers and designers when devising a CT course. This study addresses this issue…

This paper describes two examples of teaching situations in which the idea of infinity arises, and supports the conclusion that infinity is not a physical reality but a very powerful and useful mathematical device which facilitates modelling and the solution of problems in physics.