In this article, the authors describe how a theoretical framework--the modeling cycle of Bliss, Fowler, and Galluzzo (2014)--came to life in their classroom as students struggled with an open-ended modeling task. The authors share their high school students' work--warts and all. They explain how they used their students' ideas and errors to help…

Knowledge representations that result from practicing problem solving can be expected to differ from knowledge representations that emerge from explicit verbalizing of principles and rules. We examined the degree to which the two types of learning improve problem-solving knowledge and verbal explanation knowledge in classroom instruction. We…

The purpose of this research project was to explore coverage of obesity-related topics in the early years of "Journal of Home Economics (JHE)." Utilizing HEARTH, a Boolean search for obesity-related terms and topics was used to analyze volumes beginning with 1909, continuing to 1910, and every five years to 1940. Coverage of the obesity…

The purpose of this study was to evaluate the effect of a multicomponent mathematics intervention (modified schema-based instruction, video anchors, and goal setting with self-graphing) on mathematical problem-solving skills of secondary students with intellectual and developmental disabilities. Three participants were taught to solve percent of…

In the era of multi-tiered system of support approach to learning, identifying mathematical interventions that have been found to be effective for students who are struggling academically is imperative. Given the divide between instructional approaches in general and special education mathematical teaching approaches, it is important to bridge the…

Purpose: Mock trial is an activity commonly used both in and out of the class in citizenship education. Mock trial is a simulation technique rooted in experiential learning. This study aimed to evaluate the Mock trial method used by a primary school teacher in Turkey to solve the problems faced during lessons. Research Methods: This research is…

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…