"Instant Insanity II" is a sliding mechanical puzzle whose solution requires the special alignment of 16 colored tiles. We count the number of solutions of the puzzle's classic challenge and show that the more difficult ultimate challenge has, up to row permutation, exactly two solutions, and further show that no…

In an era of unprecedented volatility, ambiguity, impassioned conflict, and intractable problems that affect the basic living conditions and prosperity of many, education has never been more important or more in need of purpose, meaning, and applicability. The solutions to the dilemmas that define our world will be created and implemented in the…

In their years of teaching geometry, Wong and Bukalov realized that the greatest challenge has been getting students to improve their reasoning. Many students have difficulty writing formal proofs--a task that requires a good deal of reasoning. Wong and Bukalov reasoned that the solution was to divide the lessons into parallel tasks, allowing…

Pythagoras Theorem is an old mathematical treatise that has traversed the school curricula from secondary to tertiary levels. The patterns it produced are quite interesting that many researchers have tried to generate a kind of predictive approach to identifying triples. Two attempts, namely Diophantine equation and Brahmagupta trapezium presented…

The power of 3D printing technology has grown exponentially in just the past few years--people around the world are using 3D printers to prepare food, create tailored clothing, build cars and homes, and advance the medical field in ways that never seemed possible. In classrooms across the nation, 3D printers have become increasingly common because…

While there is disagreement among mathematics educators about some aspects of its meaning, mathematical modeling generally involves taking a real-world scenario and translating it into the mathematical world (Niss, Blum, and Galbraith 2007). The complete modeling process involves describing situations posed in problems with mathematical concepts,…

Increasing student participation in science is an ongoing challenge for many universities. In this active learning workshop, centered on inquiry and teamwork, we introduce high-school students to biochemistry and molecular biology techniques using a murder mystery activity. During this intensive 3 hr workshop, we engage students in a murder…

Engineering design is known as an answer to an ill-defined problem. As any answer to an ill-defined problem, it can never be completely right or absolutely wrong. The methods that universities use to teach engineering design, as a consequence of this, suffer from the same fate. However, the accumulated experience with the "chalk and…

Jessica Calarco explains in this article that students from different backgrounds tend to manage problems in contrasting ways that can have real consequences in the classroom. More specifically, Calarco observed children from middle-class families tended to actively seek help from their teachers, while children from working-class families…

Emperor penguins, the largest of all the penguin species, attain heights of nearly four feet and weigh up to 99 pounds. Many students are not motivated to learn mathematics when textbook examples contain largely nonexistent contexts or when the math is not used to solve significant problems found in real life. This article's project explores how…

With the nationwide focus on increasing students understanding and use of technology, many teachers are beginning to incorporate a variety of technology into small group rotations. However, the use of technology during these rotations often does not require students to use higher level thinking or problem solving skills. By eliminating the…

The subject of the article is usage of modern computer technologies through the example of interactive geometry environment Geogebra as an innovative technology of representing and studying of geometrical material which involves such didactical opportunities as vizualisation, simulation and dynamics. There is shown a classification of geometric…

Engineering-based modeling activities provide a rich source of meaningful situations that capitalize on and extend students' routine learning. By integrating such activities within existing curricula, students better appreciate how their school learning in mathematics and science applies to problems in the outside world. Furthermore, modeling…

This response to Peterson's (2014) "Nonviolent Action as a Necessary Component in Educating for Democracy" enlarges the discussion of the role of the teacher/educator in deciding whether or when it is responsible to facilitate the engagement of students in acts of nonviolent dissent. Ultimately it would seem that the most important of…

In this article the authors share how they use global literature picturebooks with pre-kindergarten, kindergarten, and first grade children in the context of A Curriculum That is International to develop the children's intercultural understandings. The picturebooks, shared through read alouds, individual and partner reading, and browsing, is…