This archival data study examined the relations between cognitive abilities and math reasoning for Hispanic English learner (EL) students in grades 1 through 5 with an identified learning disability. The 295 student participants were referred for an initial psycho-educational Spanish or English evaluation due to academic concerns by their school…

Creativity can and should play a role in students' science experiences. Beghetto ("Roeper Review" 29(4):265-270, 2007) suggested a framework for teachers to assist students in transforming their creative ideas into creative products. This framework involves taking time to listen to students' ideas, helping them recognize the constraints…

In a cultural environment that maintains that post-secondary education ought to produce job ready graduates, the importance of the liberal arts and the competencies they teach, along with the questions they engage, often comes up for debate. In such a culture, honors may appear frivolous, elitist, and rear-guard. Angela Marie Salas defends both…

Engineering is not a subject that has historically been taught in elementary schools, but with the emphasis on engineering in the "Next Generation Science Standards," curricula are being developed to explicitly teach engineering content and design. However, many of the scientific investigations already conducted with students have…

With rapidly evolving technology, the world is more connected than ever, and citizens around the globe can contribute to science like never before (Dickinson and Bonney 2012). Reflecting the growing capacity of citizen science, this article presents a science education continuum that moves from global awareness to global contribution. At each…

Based on a detailed reading of Graham Wallas' "Art of Thought" (1926) it is argued that his four-stage model of the creative process (Preparation, Incubation, Illumination, Verification), in spite of holding sway as a conceptual anchor for many creativity researchers, does not reflect accurately Wallas' full account of the creative…

NCTM's "Principles to Actions: Ensuring Mathematical Success for All" (2014), outlines eight teaching practices for effective teaching and learning mathematics. One of them, facilitate meaningful mathematical discourse, states, "Effective teaching of mathematics facilitates discourse among students to build shared understanding of…

This study discusses aspects of the association between Mathematical Modeling (MM) and Big Data in the scope of mathematical education. We present an example of an activity to discuss two ontological factors that involve MM. The first is linked to the modeling stages. The second involves the idea of pedagogical objectives. The main findings…

Beginning university training programs must focus on different competencies for mathematics teachers, i.e., not only on solving problems, but also on posing them and analyzing the mathematical activity. This paper reports the results of an exploratory study conducted with future secondary school mathematics teachers on the introduction of…

This article looks at a simple geometry problem that also involves some reasoning about number combinations, and show how it was used in a Year 7 classroom. The problem is accessible to students with a wide range of abilities, and provides scope for stimulating extensive discussion and reasoning in the classroom, as well as an opportunity for…

The application of skills and knowledge to a "real world" context entails a greater set of competencies than just technical proficiency, for both the student who sits the problem and the teacher who sets it. These competencies require unpacking. A greater understanding of these competencies would enable teachers to create tasks that test…

Technology provides the means to create useful learning and practice environments for learners. Well-designed cognitive tutor systems, for example, can provide appropriate learning environments that feature cognitive supports (ie, scaffolding) for students to increase their procedural knowledge. The purpose of this study was to conduct a series of…

This study explored the quality of arguments used by first-year engineering university students enrolled in a traditional physics course dealing with electromagnetic induction and related problem solving where they had to assess whether the electromagnetic induction phenomenon would occur. Their conclusions were analyzed for the relevance of the…

Sometimes Computer Algebra Systems (CAS) offer an answer that is somewhat different from the answer that is probably expected by the student or teacher. These (somewhat unexpected) answers could serve as a catalyst for rich mathematical discussion. In this study, over 120 equations from school mathematics were solved using 8 different CAS. Many…

Students learning to separate variables in order to solve a differential equation have multiple ways of correctly doing so. The procedures involved in "separation" include "division" or "multiplication" after properly "grouping" terms in an equation, "moving" terms (again, at times grouped) from…