The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…

The field of gifted education has a rich history of proposing and implementing innovative pedagogical practices to develop students' creative and critical thinking, yet less attention has been given to the assessment of these learning experiences. If creative and critical thinking are both inherently important in developing global problem solvers…

Musical independence is a common objective for large-ensemble classes, but traditional, teacher-centric instructional practices for these groups may discourage rather than promote students' critical thinking and decision making in music. Cognitive apprenticeship provides an instructional approach through which student musicians can develop skills…

This article investigates two children's intuitive thinking in solving multiplication problems from different educational backgrounds. One of the children is in a southern elementary school in the US. He was given the same problems both in first and second grades. The other child was a first grader in a southwest region of China, and she was given…

In this report, we discuss background research on the development of student understanding of quadratic functions and present a provisional learning progression for quadratic functions and quadratic equations. We also describe task shells that are linked to the learning progression. The learning progression and task shells can be used as a…

Background: The poor performance of learners in mathematics has long been a matter of concern in South Africa. The Annual National Assessment (ANA) results reveal that the problem starts in the foundation phase with number concepts. Aim: This research sought to ascertain how foundation phase teachers used mathematical resources to teach number…

Collaborative group work has been recognized as a way of fostering the development of metacognition and self-regulation. Moreover, it has been claimed that these regulatory processes have an interpersonal level in which the regulation of the activity is shared with others (Iiskala et al., 2004). There has also been a considerable body of research…

Problem Statement: Throughout history, many changes have occurred in the field of mathematics education. These changes have also occurred concerning special topics that mathematics educators have constantly been searching. The significance of problem posing in mathematics teaching has increased recently with respect to its contributions to the…

In this conceptual essay, I argue that there is an aesthetic dimension to all mathematical inquiry and that it is possible for teachers to highlight this aesthetic dimension, even within the context of standards-based mathematics curricula. This curricular approach, however, presents unique challenges to early-career teachers. I highlight those…

More and more schools are acquiring advanced manufacturing equipment. Activities that incorporate the use of this equipment for the purpose of teaching some academic content can either be designed or redesigned for other educational purposes as well. This article describes how the authors extended an activity that was initially designed to help…

Design thinking is a collaborative problem solving and human-centric approach that fosters innovation by elevating participants' creative thinking abilities. Design thinking techniques and practices have been implemented into different curricula in secondary and post-secondary education to address the need for new skills to be learned for the…

Manipulation of physical models such as tangrams and tiles is a popular approach to teaching early mathematics concepts. This pedagogical approach is extended by new computational media, where mathematical entities such as equations and vectors can be virtually manipulated. The cognitive and neural mechanisms supporting such manipulation-based…

Educating new generations of physicists is often seen as a matter of attracting good students, teaching them physics and making sure that they stay at the university. Sometimes, questions are also raised about what could be done to increase diversity in recruitment. Using a discursive perspective, in this study of three introductory quantum…

This study explored the nature of teacher candidates' mental health narratives in the context of completing an elective course in mental health and wellness. How students deconstructed their narratives and the narratives of their peers over time was also explored. Participants included 67 fourth-year students completing a five-year concurrent…

Aim of the research was to investigate possible impact of visuals on primary school 4th graders' problem-solving success. 108 fourth graders studying at four primary schools in Bartin city center were assigned as participants of the study. The research was carried out in 2016-2017 academic year. The model of the study was post-test control group…