When teaching a general education introductory astronomy course that includes a mathematics prerequisite, it is important to convey that formulas and equations physically represent properties of actual objects and processes that occur that can actually be observed. Students with varying comfort levels with mathematics often need to be convinced…

In this paper, I ask: 'Can digital games support the learning of scientific inquiry as a situated practice? If so, how?' To approach this question, I draw upon feminist, STS, and pragmatist scholarship to develop a framework that can be used to analyze how a learning environment has been designed to teach scientific inquiry, as well as how it can…

Innovation and social learning are the pillars of cultural evolution, allowing cultural behaviours to cumulatively advance over generations. Yet, little is known about individual differences in the use of social and asocial information. We examined whether personality influenced 7-11-year-old children's (N = 282) propensity to elect to observe…

Though there is an extensive research literature on understanding and assessing individual modeling competencies, less attention has been given to characterizing the social context of the classroom in which modeling occurs. Yet a classroom's culture of modeling--its negotiated system of beliefs and values about the nature of modeling and what…

Root Cause Analysis (RCA) has been recommended as a specific problem-solving approach for addressing disproportionate discipline outcomes. RCA differs from other problem-solving models through its in-depth analysis that draws from the perspectives of individuals who are impacted by the issue being addressed. When applied to disproportionate…

In this paper, we present a case study of a secondary mathematics teacher, Isaac (pseudonym), and his considerations for teaching with multiple methods for solving missing-value problems. While his students preferred methods that drew more closely on their intuitive understanding of proportionality, Isaac emphasised the algorithmic…

This study reports on a professional learning (PL) initiative aimed at establishing a community of practice, through teacher working groups in which teachers can explore and develop their algebraic pedagogical content knowledge (PCK). Here we report on teachers' solutions to three differently represented algebraic problems and explore what the…

This study aimed to produce a learning path that can help students understand the concept of percent using the context of an egg rack. This study used a design research method through the Indonesian Realistic Mathematics Education approach which was carried out at Elementary School No. 2 Gumawang, Indonesia. Data were obtained through observation,…

This research presents the outputs of problem-solving based STEM education activities applied in an undergraduate mathematics course. An experimental study using a randomized pretest-posttest control group design was carried out to examine the development of elementary pre-service teachers in the fields of mathematics achievement, belief about…

Preparing students for the workforce is a balancing act that involves theory, practice, and assessment. As students navigate an educational experience that is, however, often distant from real-world needs, it is imperative that academia finds a novel way to bridge the gap. As many organizations utilize open challenges to attract ideas and talent,…

The purpose of this study was to analyze the performances of students in solving problems presented in different forms including equations, verbal equations, stories, and stories supported by diagrams in problem-solving. A descriptive survey model was employed in the study. The study group consisted of 14 fourth-grade students. Data were collected…

There are a variety of discrete facility location models that have practical relevance for operations management and management science courses. Integer linear programming (ILP) is the standard technique for solving such problems. An alternative approach that is often conceptually appealing to students is to pose the problem as one of finding the…

Individuals solve arithmetic problems in different ways and the strategies they choose are indicators of advanced competencies such as adaptivity and flexibility, and predict mathematical achievement. Understanding the factors that encourage or hinder the selection of different strategies is therefore important for helping individuals to succeed…

In this article, we present an educational proposal designed to work on spatial geometry and three-dimensional thinking with students in the last years of Primary Education. The proposal is comprised of several activities that combine the use of a classroom videogame and working with manipulative materials to create a representation of the…

This paper explores Year 3 Irish students' problem-solving strategies when responding to a skyscraper growing pattern problem. Students' strategies reveal their understandings of multiplicative thinking, pattern, and algebraic reasoning. The version of the growing pattern lesson was that a 'teaching through problem solving' approach was taken,…