Numerous studies have shown the value of introducing cognitive supports to encourage the development of creative ability, and researchers have developed a variety of methods to aid in generating ideas. However, design students often struggle to explore more ideas after their initial ideas are exhausted. In this study, an empirically validated tool…

The aim of this study is to explore the judgments and reasoning in probabilistic tasks that require comparing two probabilities either with or without introducing an additional degree of uncertainty. The reasoning associated with the task having an additional condition of uncertainty has not been discussed in previous studies. The 66 undergraduate…

Ensuring second language (L2) learners have an adequate breadth and depth of L2 vocabulary knowledge is a key pedagogical objective in L2 learning contexts. For this reason, establishing guiding principles that successfully enhance the efficacy of L2 vocabulary knowledge development is of strong importance. The current study investigated the value…

This study explored the use of heuristics in the design space by novice and expert engineers in the initial ideation of a design solution. Verbal protocol analyses were conducted with four engineering students and four professional engineers as they generated ideas to solve a design problem. Overall, both experts and novices used various types of…

Willingness to communicate (WTC) reflects an intersection between instructed second language acquisition and learner psychology. WTC results from the coordinated interaction among complex processes that prepare second language (L2) learners to choose to use their L2 for authentic communication. Prior research has revealed considerable complexity…

Students' opportunities to struggle with mathematical ideas have long been considered paramount to learning. However, there's little research on how teachers; (1) draw on and make sense of the discourses of perseverance; (2) enact it in classroom; and (3) develop an expansive view of perseverance. To contribute to these lines of research, we build…

A transition from "doer" to "teacher" for prospective teachers requires them to reorient from thinking about how they do mathematics to engaging with students and their work, understanding student representations, and planning instruction accordingly. To scaffold a transition, we developed a five-step mathematics as teacher…

In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…

Focusing on the science knowledge and pedagogical content knowledge that teachers need to realize the vision of the "Next Generation Science Standards" (NGSS) in their classrooms, this study presents findings from efforts to (1) adapt existing criteria and design heuristics for educative features of curriculum materials to the needs of…

How does the student untrained in advanced statistics interpret results of research that reports a group difference? In two studies, statistically untrained college students were presented with abstracts or professional associations' reports and asked for estimates of scores obtained by the original participants in the studies. These estimates…

The educational potential of robotics kits as a form of control technology will remain undervalued until meaningful observation parameters are identified to enable a better understanding of children?s control strategies. For this reason, this paper aims primarily to identify and classify the heuristics spontaneously applied by 6-10 year old…

Applying and adapting a variety of appropriate heuristic strategies is one of the accepted standards of problem solving (NCTM, 2000). Thinking through a solution to a non-routine mathematical task, experts in problem solving call into play many sophisticated strategies (almost) without conscious efforts, while novices need to be taught how to do…