Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The…

Structural thinking skills should be developed as a prerequisite for a young person's future mathematical understanding and a teachers' understanding of mathematical structure is necessary to develop students' structural thinking skills. In this study, three secondary mathematics pre-service teachers (PSTs) learned to notice structural thinking…

To understand what teachers need to teach towards big ideas in the classroom, there is a need to systematically interface different conceptions of big ideas in mathematics with models of teacher knowledge. We conducted a literature review on horizon knowledge and big ideas to clarify both constructs and their relationships. Twenty-one journal…

Spatial reasoning is identified as a Numeracy general capability in the Australian Curriculum, and more globally as a significant precursor to mathematics proficiency. Currently, the literature surrounding mathematical-spatial relations remains largely removed from classroom practice. This paper provides a reflection on the spatial cognition field…

Research has shown that tape diagrams are beneficial for algebra learning. However, it is unclear whether certain visual features of tape diagrams have implications for learning. We investigated, with undergraduate students and math teachers, whether tape diagrams with different visual features (color, presence of outer lines, and position of the…

Students' creative thinking ability is essential to be developed in Mathematics because it can help students solve everyday life problems. This study aimed to determine the impact of the Posing-Exposing-Doing-Evaluating (PEDE) Productive Failure model on developing students' creative thinking ability in mathematics in the new normal. The study was…

We use a unique corpus of job descriptions for C-suite positions to document skills requirements in top managerial occupations across a large sample of firms. A novel algorithm maps the text of each executive search into six separate skill clusters reflecting cognitive, interpersonal, and operational dimensions. The data show an increasing…

Research has shown that modern courses and programs designed to foster critical thinking vary in both content and delivery, in turn leading to differences in their effectiveness. Few studies have investigated critical thinking among nontraditional students at community colleges taking STEM courses, especially within the geosciences. Furthermore,…

The human brain is a flexible information processing system. Across a range of simple and complex tasks, such as walking across the street to playing basketball, the brain transforms sensory information from the environment into corresponding motor actions. This sensory input to motor output transformation likely requires a sequence of complex…

Testlets bring several perks in the development and administration of tests, such as 1) the construction of meaningful test items, 2) the avoidance of non-relevant context exposure, 3) the improvement of testing efficiency, and 4) the progression of testlet items requiring higher thinking skills. Thus, the inclusion of testlets in educational…

Although there has been profound evidence showing the positive correlation between spatial abilities and math performances, we still know very little about how and why spatial thinking facilitates the learning of mathematics. This dissertation unpacks several aspects of mathematics that are embedded in learning and playing an ancient and rich game…

The purpose of this study was to determine the existence of a relationship between online professional development and English language arts (ELA) teachers' instructional practices. Professional development is commonly utilized to develop teachers' pedagogy, but in-person sessions do not meet all teachers' needs. "Mixed methods" research…

A general conception of discussion and its relation to the development of reflective thinking is applied to philosophical inquiry in the classroom. Consideration of what makes a discussion philosophical is used to reveal the kind of thinking involved and then set within a model of discussion for the classroom designed to engage students in it. It…

Our visual system samples external information, adjusts its sensitivity and constructs a stable representation of the world that allows us to perceive and interact with objects in our environments. Visual information with different levels of complexity is processed through the hierarchically organized visual cortical areas. This dissertation…

Background: Data on children's ability to answer assessment questions correctly paints an incomplete portrait of what they know and can do mathematically; yet, it remains a common basis for program evaluation. Indeed, pre-post-assessment correctness is necessary but insufficient evidence for making inferences about learning and program…