Mathematics itself is a living and creative act (Boaler, 2008), and mathematicians themselves often collaborate in their work (Burton, 2004). What, then, is holding school mathematics back? Are educators so conditioned to expect the act of mathematizing in school to proceed in a certain abstract, formalized way that they are neglecting other means…

The present study was an attempt to investigate the strategies emerging in the translation classes instructed through different approaches, namely behaviourist, cognitive and constructivist. One hundred twenty homogeneous senior students at upper-intermediate level of proficiency studying English Translation in the Iranian context took part in the…

In recent years, researchers have become more interested in quadratic equations. This study explores the conceptions high school students have concerning quadratic equations with one unknown, while using concept definition and images as theoretical framework. The data was gathered through semi-structured interviews with 14 eleventh grade high…

Student problem solving in the context of a dynamic mathematics environment (DME) has previously been investigated primarily through the lens of whether or not the student could complete a problem-solving task. Herein, we investigate what trajectories students employ in the realms of mathematics, technology, and problem solving as they attempt to…

The current study aimed to investigate the relation between conditional reasoning, which is a common type of logical reasoning, and children's mathematical problem solving. A sample of 124 fourth graders was tested for their conditional reasoning skills and their mathematical problem solving skills, as well as a list of control variables (e.g.,…

The vision of mathematics learning advocated by the National Council of Teachers of Mathematics (NCTM) for twenty-five years (1989, 1991, 2000, 2014) positions students as active learners, constructing their knowledge of mathematics through exploration, discussion, and reflection. World-class standards put into place by states and provinces over…

In this study, middle school students' (8th grade, n = 24) problem-solving processes were investigated while implementing a design-based science learning (DBSL) approach. DBSL tries to incorporate science learning with the processes of engineering design. A DBSL module was developed by the research team within which students were expected to…

Protein structure-function is a key concept in biochemistry. We used the perspective of domain-specific problem-solving to investigate students' solutions to a well-defined protein structure-function problem. We conducted think-aloud interviews with 13 undergraduate students and performed qualitative content analysis to examine the differences in…

Making connections among multiple visual representations is key to students' learning. This article considers two learning processes involved in connection making: explicit sense making of connections and implicit perceptual induction of connections. Instructional interventions support these processes via different problem types: sense-making…

Strategy flexibility, adaptivity, and the use of clever shortcut strategies are of major importance in current primary school mathematics education worldwide. However, empirical results show that primary school students use such shortcut strategies rather infrequently. The aims of the present study were to analyze the extent to which Dutch sixth…

By adapting the job demands-resources model of Demerouti et al. "Journal of Applied Psychology," 86(3), 499-512, (2001) to vocational problem-solving situations, we aimed to investigate how, and to what extent, problem-solving demands and personal resources affect stress responses and task interest. Therefore, we used a problem-solving…

Mathematics teacher education aims to improve teachers' use of mathematical knowledge to support teaching and learning, an aspect of pedagogical content knowledge (PCK). In this study, we interviewed teachers to understand how they used mathematics to make sense of student solutions to proportional reasoning problems. The larger purpose was to…

We are experiencing powerful and exponential shifts in our economy (Schwab, 2015), marked by rapid advancements in automation, information technology, and robotics (Ford, 2016) and the displacement of millions of Americans in the middle class (Goldin & Katz, 2008; Keeley, 2015; Pew Research Center, 2015). Our current education paradigm is…

Ratio and proportional relationships, along with the interrelated topics of fractions, decimals, and percent provide a critical foundation for algebra (National Mathematics Advisory Panel, 2008). Solving even simple proportion problems is challenging for many children and adolescents. A small number of studies have examined the efficacy of…

Role-playing simulations have been effective techniques to encourage global skills in the engineering and design classrooms. May, Wold and Moore (2014), defined global skills as student display of respect, recognition, adjustment and integration. Gray, Debs, Exter, and Krause (2016), took this one step further and looked-for empathy in the design…