Despite the importance of teachers' conceptions of and competency in problem solving, limited attention is given to this area in the current literature. We examined 96 preservice elementary teachers' problem-solving conceptions and performances by having them define and create metaphors for problem solving and then investigated the relationships…

This study delved into the structuring of design briefs and investigated the impact of employing visual analogies compared to text analogies. We aimed to contribute to the growing body of research investigating the role of analogies in design problem-solving. To do this, we conducted a controlled experiment at a university with 135 undergraduate…

The COVID-19 Pandemic process has brought with it a climate of uncertainty. This uncertain environment also contains a lot of uncertainty about classroom management for preservice teachers. The main purpose of this study was to reveal the metaphorical perceptions and views of preservice teachers about the source of the uncertainties they encounter…

Statistics students' conceptions of the work of statisticians and the discipline of statistics may play an important role in the topics to which they attend and their interest in pursuing further study. To learn about students' conceptions, we collected open-ended survey responses from 44 undergraduate students who had completed introductory…

Understanding how physicists solve problems can guide the development of methods that help students learn and improve at solving complex problems. Leveraging the framework of cognitive task analysis, we conducted semistructured interviews with theoretical physicists (N=11) to gain insight into the cognitive processes and skills that they use in…

The quality of the intra-mathematical connections made by Mexican university students when solving tasks on the derivative was characterized. The typology of mathematical connections and the quality levels of mathematical connections were used. Interviews were conducted based on eight tasks applied to three case studies. The results showed that…

Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing…

The design of solar power plants and the operating principles are learned by engineering students during the last academic year. Typically, this subject is taught using the traditional methodology based on lectures where students are not considered as an active player of the class. The aim of this experience was to implement innovative…

Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to…

Multimodal learning refers to teaching strategies that involve multiple sensory systems simultaneously. Teachers can create materials for students with different learning styles (auditory, visual, kinesthetic reading, and writing). Multimodal learning keeps students engaged, encourages them to apply what they learn in real-life situations,…

In this thesis, I study some aspects of how students learn to use math to make sense of physical phenomena. Solving physics problems usually requires dealing with algebraic expressions. That can take the form of reading equations you're given, manipulating them, or creating them. It's possible to use equations simply according to formal rules of…

Creativity is commonly assessed using divergent thinking tasks, which measure the fluency, flexibility, originality, and elaboration of participant output on a variety of different tasks. This study assesses the degree to which creativity can be identified based on linguistic features of participants' language while completing collaborative…

As president of the California Council on Teacher Education from 1994-1996, teacher educator Grace Grant reflects on the first conference she attended of the then California Council on the Education of Teachers in 1976 at the Ahwahnee Hotel in Yosemite National Park. The keynote speaker was Gary Fenstermacher, the then-director of teacher…

Conceptions of learning are seen as an important factor in shaping students' patterns of learning. However, conceptions are often implicit and difficult to assess. Metaphors have been proposed as a method to assess conceptions, because metaphors are closely linked to the conceptual system. Therefore, in our study we assessed which conceptions of…

Researchers believe that the way that students talk, specifically the language that they use, can offer a window into their reasoning processes. Yet the connection between what students are saying and what they are actually thinking can be ambiguous. We present the results of an exploratory interview study with 10 participants, designed to…