This article explores three processes involved in attending to evidence of students' thinking, one of the Mathematics Teaching Practices found in "Principles to Actions: Ensuring Mathematical Success for All." These processes, explored during a classroom activity on proportional relationships, are discussed in this article, another…

The purpose of this study was to describe how US secondary science preservice teachers, or those preparing to teach middle and high school science, at one university, perceive engineering and teaching engineering within an epistemological framework of required domain components pre- and post-instruction (intervention) as well as over three cohort…

Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting…

Ethical theories are key principles that determine right decisions and actions in morally problematic situations. Using phenomenological method of data collection, explication, and interpretative, the adolescent interviewees in this study revealed the essential nature, structure, content, and meaning of their personal moral beliefs and other…

While textbooks serve as a primary source of content material and problem-solving practice for undergraduates in engineering, studies that investigate how engineering students prepare assignments based on textbook problems are limited. To examine how engineering students complete textbook-based assignments outside of class, this exploratory…

The main goal of this study is to present the effectiveness improvement of student's creative thinking skills using CBL implemented in STEM education and CBL combined with worksheet PSL. The STEM education perspective used in this study is a separate science discipline (Physics) that incorporates other disciplines. The research method used in this…

We explored how learners' "subjective ratings" of open educational resources (OERs) in terms of how much they find them "helpful" can predict the actual "learning gains" associated with those resources as measured with pre- and post-tests. To this end, we developed a probabilistic model called GRAM (Gaussian Rating…

Developing students' creative problem solving skills should be one of the top goals in general education. One teaching model that was developed to increase students' creative problem solving abilities is the Real Engagement in Active Problem Solving (REAPS) model. This model was used as an intervention in classrooms in many studies. However, the…

We currently find ourselves in the midst of the fourth industrial revolution, a time when everything around us is evolving at an exponential pace, which is disrupting virtually every industry around the globe. With today's transformations and changes in the workplace, there are skills needed to remain employed. As we continue along this path,…

Twenty-five first-year preservice teachers attending a university in the Midwest of the United States of America participated in a whole-class-setting study aimed at investigating their knowledge of how they made sense of fraction concepts and operations, and how the development of this knowledge was facilitated during a mathematics education…

Mathematical reasoning is a key proficiency in mathematics, however primary school teachers may have trouble noticing students' mathematical reasoning mid-lesson. In this study, students' mathematical reasoning has been analysed using video data collected as one grade of Year 5 and 6 students worked through the 'Painted Cube' task. Analysis…

This paper articulates a stance on the study of students' meaningful mathematics understanding with multiple representations. We integrate Thompson's theory of quantitative reasoning and Dreyfus' theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We…

Information security practitioners and researchers who possess sufficient depth of conceptual understanding to reconstitute systems after attacks or adapt information security concepts to novel situations are in short supply. Education of new information security professionals with sufficient conceptual depth is one method by which this shortage…

Over the last century human activities have resulted in a rapid accumulation of carbon dioxide (CO[subscript 2]) in the atmosphere, creating severe damages in the environment. This study investigates how the use of a digital tool, a so-called carbon footprint calculator (CFC), instrumental to calculating CO[subscript 2] emissions of human…

This paper describes three exemplars of practice inspired by emerging evidence that student-staff partnerships have the potential to significantly enhance many areas of higher education. Students and academics at the University of Adelaide have successfully implemented this collaborative approach across a range of learning and teaching contexts.…