Problem solving is a valuable skill in the science classroom. Students often use a variety of inquiry strategies to identify problems and their implications; develop action plans; locate relevant sources, information, and data; and formulate solutions. Problem solving is a logical, analytical, and sometimes creative process. The less tangible,…

This article sets out how the author believes mathematics might be taught in creative ways. It is about the author's developing thoughts on how he teaches mathematics, how his class responds to his teaching, and how he adjusts his teaching through assessment of children's learning. Through observations and assessment of learning following his…

In preparing to teach the advanced physics course at my high school, I found it useful to work through the end of chapter problems in the book used by the advanced class. A problem on motion in one dimension involved a stunt woman in free fall from a tree limb onto a horse running beneath her. The problem presents a connected learning opportunity…

Nearly all physics instructors recognize the instructional value of force diagrams, and this journal has published several collections of exercises to improve student skill in this area. Yet some instructors worry that too few students perceive the conceptual and problem-solving utility of force diagrams, and over recent years a rich variety of…

Teachers are the curriculum implementers in the classroom, which can become either a constraining or transformative environment. In this article Bourdieu's notion of habitus is appropriated to illustrate the transformative potential of the teacher in the classroom. Paulo Freire's problem-posing education is also utilised as it opens up the space…

Complex error propagation is reduced to formula and data entry into a Mathcad worksheet or an Excel spreadsheet. The Mathcad routine uses both symbolic calculus analysis and Monte Carlo methods to propagate errors in a formula of up to four variables. Graphical output is used to clarify the contributions to the final error of each of the…

This article deals with the roles of variation problems ("one problem multiple solution" and "one problem multiple changes") as used in Chinese textbooks. It is argued that variation problems as an "indigenous" Chinese practice aim to discern and to compare the invariant feature of the relationship among concepts and…

Student understanding and retention can be enhanced and improved by providing alternative learning activities and environments. Education theory recognizes the value of incorporating alternative activities (games, exercises and simulations) to stimulate student interest in the educational environment, enhance transfer of knowledge and improve…

People often make choices that go against their own best interests. In the controversial bestseller "Nudge," Richard Thaler and Cass Sunstein argue that people can benefit from simple "nudges" to improve their decision-making. In an upper-level undergraduate course on political decision-making, I created a series of assignments around "Nudge." In…

Project-based learning is a research-based instructional tool that has proven to be effective in all secondary curricular disciplines, particularly in the areas of science, technology, engineering, and mathematics (STEM). A project is an applied activity, often hands-on, where the students are challenged to successfully address a problem. In many…

Using games as a learning tool is not new--research abounds to demonstrate the use of video games enhancing problem-solving skills and creativity. Pioneer educational games, like Carmen Sandiego and Oregon Trail, have given birth to online, multiuser, digital simulations that would make their forebears blush. Now, in what seems to be a natural…

In this article, the author reports on a seminar for first-year college students that weaves mathematical proof and problem-solving together with discussions of cultural, philosophical, and aesthetic issues surrounding mathematics. The author's goal is for students to learn some mathematics, and--just as important--to think about the nature of…

The absolute value learning objective in high school mathematics requires students to solve far more complex absolute value equations and inequalities. When absolute value problems become more complex, students often do not have sufficient conceptual understanding to make any sense of what is happening mathematically. The authors suggest that the…

The Department of Physics at EKU [Eastern Kentucky University] with support from the National Science Foundations Course Curriculum and Laboratory Improvement Program has successfully converted our entire introductory physics sequence, both algebra-based and calculus-based courses, to an activity-based format where laboratory activities,…

Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…