Universities and colleges are consistently being held accountable for measurable outcomes from internal and external stakeholders. Outcomes such as the development of critical thinking skills have been tied to funding from state and federal governments and employers believe that graduates should be able to think critically and produce results…

In this paper, we report on the interim findings of a study that seeks to identify the characteristics of children's Critical Mathematical Thinking CMT. Characteristics of CMT were initially generated from a synthesis of relevant research literature and then validated using a case study methodology via trials in early childhood classrooms. This…

Although spatial thinking and reasoning is recognised as a key component for promoting STEM discipline, very little research has been done on its promotion in middle years in Australia. How do students perceive three dimensional geometrical objects? Are they able to recognise the objects from different perspectives and explain their reasoning for…

The purpose of this study is to ponder some theoretical considerations concerning a predominant phenomenon of mental translation (MT) observed by second language teachers and learners in learning and using a second/foreign language. The sample available to the researcher consists of seven female adult learners speaking different languages. The…

Mathematics educators are occasionally called upon to justify the existence or the offering of quantitative literacy courses. This paper argues that effective quantitative literacy courses have different goals than algebra courses and are legitimate alternatives to algebra courses for non-STEM students. Furthermore, quantitative literacy courses…

Recent research suggests that children in elementary grades have some facility with variable and variable notation in ways that warrant closer attention. We report here on an empirically developed progression in first-grade children's thinking about these concepts in functional relationships. Using learning trajectories research as a framework for…

Qualitative classroom data from video recordings and students' written work can play important roles in improving mathematics instruction. In order to take full advantage of these data sources, it is helpful to have a strong analytic lens to orient one's reflections on the data. One promising analytic lens is the National Research Council's five…

What "gamification" means and what it doesn't has been addressed and described by many researchers from a variety of different perspectives in the past. Similarities and differences of the methods between "gamification" and "games" (as well as "gamification" and "game based learning") have also…

This article discusses how to empower students to work, think, and act independently in the higher education setting. Inspiring students to progress through the stages of Bloom's Taxonomy emboldens them to discover intrinsic motivation and self-regulated learning. This article defines and focuses on the importance of teaching intrinsic motivation…

We investigate the evolution of thought using the method of historical reconstruction, the theory of the cultural and historical determinism of psychological development, data on the relationship between morphological studies, modern findings about child development, and the scientific understanding of neural morphogenesis. We argue for…

Research has focused on students' difficulties understanding phenomena in which agency is distributed across actors whose individual-level behaviors converge to result in collective outcomes. Building on Levy and Wilensky (2008), this study identified features of distributed causality students understand and that may offer affordances for…

Road injury is an immediately relevant topic for 9-19 year olds. Current availability of Open Data makes it increasingly possible to find locally relevant data. Statistical lessons developed from these data can mutually reinforce life lessons about minimizing risk on the road. Devon County Council demonstrate how a wide array of statistical…

Epistemic cognition represents aspects of teachers' thinking focused on issues related to knowledge, which may have particular relevance for classroom assessment practices given that teachers must discern what their students know and then use this information to inform instruction. We present a model of epistemic cognition in teaching with a focus…

Like scientists, children seek ways to explain causal systems in the world. But are children scientists in the strict Bayesian tradition of maximizing posterior probability? Or do they attend to other explanatory considerations, as laypeople and scientists--such as Einstein--do? Four experiments support the latter possibility. In particular, we…

In this response, we commend Sternberg's Active Concerned Citizenship and Ethical Leadership (ACCEL) model yet urge him to consider an ACCEL-S model that more fully incorporates society's integrative role in giftedness. ACCEL-S builds on the highly complex and contextual view of giftedness proposed by Sternberg and transforms it into a…