Dynamic geometry software (DGS) is often used for development of interactive teaching materials in many subjects, not only mathematics. These interactive materials can contain hundreds of elements in order to represent complex objects, and script programs to control their behavior. We propose an approach for creating, importing and using…

A lot has been said about what to teach in ICT in primary and secondary education. There are serious discussions even debates about it. Much less has been said about why ICT should be taught. [1] Competences are related actions and tasks done by people (somebody is competent in a certain field if they are able to solve common tasks related to that…

Principals' wheelbarrows are full of initiatives: closing learning gaps, preparing for the Common Core State Standards, differentiating instruction, and improving college and career readiness, to name a few. Meanwhile, principals have too few assets in their toolboxes to meet all the hefty demands. Taking the long view, it becomes clear that true…

If it is true that "new discoveries in neuroscience suggest that school readiness interventions might come too late if they start after the child is three years old", then the infant/toddler field must claim the concept of school readiness. The brain's foundation for all later learning is created in the first three years of life. As many…

International students represent a large economic and international relations investment for Australia. Australian universities are increasingly relying upon overseas students for their revenue, but these institutions are not adequately addressing the special learning, linguistic, cultural and religious needs of these students. Despite their…

This article describes an action research project in which a sixth-grade teacher engaged students in writing about their problem-solving efforts. The written mathematical work provided new artifacts for examining students' metacognitive and mathematical communication skills, prompting the teacher to make instructional changes to address students'…

The author is a strong proponent of incorporating the Content and Process Standards (NCTM 2000) into the teaching of mathematics. For candidates in her methods course, she models research-based best practices anchored in the Standards. Her students use manipulatives, engage in problem-solving activities, listen to children's literature, and use…

Two people take turns selecting from an even number of items. Their relative preferences over the items can be described as a permutation, then tools from algebraic combinatorics can be used to answer various questions. We describe each person's optimal selection strategies including how each could make use of knowing the other's preferences. We…

Convexity-based measures of shape compactness provide an effective way to identify irregularities in congressional district boundaries. A low convexity coefficient may suggest that a district has been gerrymandered, or it may simply reflect irregularities in the corresponding state boundary. Furthermore, the distribution of population within a…

In this essay Angelo Caranfa maintains that what education should be engaging in is a ceaseless effort of cultivating in the students attention to the things of the spirit--that is, the world of aesthetic apprehension as described by such figures as Plato and Simone Weil. Caranfa attempts to show that in Plato and in Weil, we receive a vision of…

We have developed a two-week guided-inquiry laboratory in which first-semester general chemistry students investigate a suspected arson using gas chromatography--mass spectrometry and paper chromatography. In the process of evaluating evidence from the crime scene, students develop and test hypotheses and learn the fundamentals of chromatography,…

The jigsaw technique has been used in a fourth-year biochemistry course to increase problem-solving abilities of the students. The jigsaw method is a cooperative-learning technique that involves a group structure. Students start with a "home" group. That group is responsible for learning an assigned portion of a task. Then the instructor separates…

This geometrical account of primitive Pythagorean triples was stimulated by a remark of Douglas Rogers on a recent paper by Roger Alperin (Alperin, 2005). Rogers, in commenting on this paper, noted that Fermat in the 17th century had posed a challenge problem on Pythagorean triples that suggested he knew how to construct a sequence of them,…

Taking part in the United States Department of Energy's Real World Design Challenge (RWDC), the author describes how four technology education students at Cumberland Valley High School in Mechanicsburg, Pennsylvania, took on the challenge to redesign an aircraft wing, attempting to make it more efficient than one currently in operation. The…

Blended learning strategies can be employed in innovative ways to solve real-world academic problems across all academic disciplines. This article can provide administrators and faculty with specific examples to guide them when making decisions about academic planning or institutional strategies for any discipline at all levels of higher…