Mathematical word problems, sometimes called story problems, are generally defined as "verbal descriptions of problem situations, presented within a scholastic setting, wherein one or more questions are raised the answer to which can be obtained by the application of mathematical operations to numerical data available in the problem statement…

The cases of constant and quadratic damping of free oscillations are missing from standard textbooks, even at college and university level. The case most examined is that of linear damping, the reason being that the student can work out a closed form which describes all stages of motion. The case of constant damping is straightforward to be…

This article draws on the simple context of a two animal farm to create an engaging and mathematically meaningful problem solving task for students. It aims to encourage students to think systematically and to present their findings methodically. The task is structured sequentially, making it suitable for primary school students from Year 1 to…

Does invention belong in the chemistry classroom? This article attempts to answer this question by describing how invention education first took root in a chemistry class at Ridgewood High School in Ridgewood, NJ, and then expanded to other students with diverse interests to find a solution to two worldwide problems: satisfying the need for safe…

When the author began his career as a school librarian, he took time to live with the collection and the school library the way it was inherited, with systems that were already in place. And during that first year, he observed. That period of observation and living with things as they were allowed him to start innovating and problem-solving from…

The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

Mathematical modeling and applications are an important part of curriculum and considered to be important for students' current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the…

This article presents a task providing college students opportunities to build on their high school knowledge of trigonometry to explore parametric equations and inverse trigonometric relationships within a contextual learning ladder problem.

Effective teaching requires enjoyable classroom tasks aimed at promoting students' learning of mathematics meaningfully, and previous research has demonstrated that the use of origami activities in mathematics classrooms can help achieve that goal. In this article, the authors describe their "LOVE MATH" one-straight-cut letter origami…

Entrepreneurs build successful businesses by taking innovative ideas from research labs to market. This article describes a pedagogical approach and its outcomes in utilizing a multi-stage, multi-course, and multi-semester capstone integrative project to teach entrepreneurial marketing (EM) of early-stage technologies. Herein we explain concepts…

The authors describe a lesson--"You Decide"--which challenges students but also provides opportunities for success for those who may struggle. They show how this lesson has been helpful for teachers in revealing some misconceptions that often exist in primary students' thinking. In this article, they share data on the apparent relative…

Examining the still underexplored elements in educational theorist Paulo Freire's work, this essay begins from his claim that problem-posing pedagogy works as a "kind of psychoanalysis." Situating Freire between the critical philosophical and psychoanalytic traditions, Alex Armonda offers a new reading of the problem-posing dialectic,…

This article seeks to deepen the understanding of the revised Essential 4 by describing the key aspects and examples of the Second Edition of the National Association for Professional Development Schools (NAPDS) Nine Essentials. The key concepts that are brought forth in the revised Essential 4 include "Reflective Practice;"…

The relevance of this article is due to the need to form and develop algorithmic thinking of higher education students as the main requirement of the information society following 21st century skills and competences for new millennium learners. The purpose of the article is to consider algorithmic thinking as a new dimension of learning in higher…

Are you frustrated when students focus on "getting the right answer" without understanding why the physics works that way, or even why their own brains came to that conclusion? If so, this might be less about the student and more about the pedagogy--you might be stuck on the "One True Path," a way of thinking "that assumes…