"Teaching Kids to Change the World: Lessons to Inspire Social Responsibility for Grades 6-12," by Jennifer Griffin-Wiesner and Chris Maser, is a practical guide that provides educators with the essential tools to inspire young people to change the world for the better. Focusing on eight principles of change, it includes lessons, examples and…

Presents a way of using counterintuitive mathematics problems to help keep students actively involved in mathematics education. (KHR)

Provides problems to illustrate the potential power of mathematical intuition when confident problem solvers take the time to "play" with a problem and follow their instincts. (MKR)

Asserts that the sudden insights that characterize intuitive thinking are as important in effectuating learning as analytical thinking. Claims that intuitive thinking enables students to comprehend complex relationships better, to put things into better perspective, to generate new ideas, and to perceive more ways to integrate facts, concepts, and…

This article describes the factors to which the classroom teacher needs to attend to enhance the mathematical problem-solving abilities of students. Emphasis is placed upon the means necessary to develop the attribute of being a problem solver, rather than focusing on the goal of becoming a problem solver. (JJK)

Counterintuitive moments in the classroom challenge common sense and practice and can be used to help mathematics students appreciate the need to explore, reflect, and reason. Proposed are four examples involving geometry, systems of equations, and matrices as counterintuitive instances. (MDH)

This paper proposes a theory that can account for differences between everyday and formal mathematics knowledge and a set of processes by which informal knowledge is transformed into formal mathematics. After an introduction, the paper is developed in five sections. The first section lays out the nature of informal, everyday mathematics knowledge.…

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Combining both the Western perspective of creativity as productivity and the Eastern perspective of creativity as enlightenment, a Program for Enlightened and Productive Creativity (PEPC) for teaching inquiry was devised. The PEPC describes stages through which a student is guided to solve a problem using increasingly complex observation, inquiry,…

Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)

Identifies linkages between social inquiry and artistic thought to show interdisciplinary possibilities for kindergarten through high school social studies instruction. Argues expression through modern dance helps students integrate personal experience and social phenomena. Provides a lesson in which elementary school students choreograph their…

One of three related documents produced in response to a need for direct instruction in thinking skills at the secondary level, this teaching guide for Book One and Book Two of "Thinking Through Language" is intended for junior or senior high school English teachers. The guide contains an introduction and summaries of Book One and Book Two,…