Cognitive development of any concept is related with affective development. The present study investigates students' beliefs about the use of different types of representation in understanding the concept of fractions and their self-efficacy beliefs about their ability to transfer information between different types of representation, in relation…

Describes a combinatorics problem involving pizza toppings. Includes three activity sheets. (Author/NB)

Revisits and discusses the polar bear problem that was published in the March 1997 issue. The problem concerns a riddle: If you walk one mile south, one mile east, and one mile north, and end up in the same spot as you started, what kind of bear would you see? (ASK)

Focuses on solutions to a single problem using both induction and deduction by utilizing a TI-82 graphing calculator to illustrate symbolic, numerical, and graphical approaches to the problem. (ASK)

What initially appears to be a standard maximum-minimum problem presents, with a particular independent variable, a wealth of calculus and algebraic subplots. Uses graphing calculator technology to reinforce the "pencil and paper" solution and open the problem to lower level mathematics courses. (Author/NB)

Describes a personal problem solving-inquiry journey, working on a problem suggested by an activity on probability observed in a junior primary classroom. Presents reflective thoughts about the mathematical and pedagogical lessons to be learned from this journey. (ASK)

Presents Cevian geometry problems (involving a segment that joins a triangle's vertex to a non-vertex point on opposite side) that illustrate how to implement methods for developing flexible strategies of problem solving, finding multiple representations, and making connections to other areas of mathematics and the real world. (ASK)

Integrating multicultural activities into mathematics instruction at all grade levels helps to foster appropriate and desirable attitudes about mathematics and its role in our culture. Multicultural investigations in mathematics reveal that many practices common to today's classrooms (such as reasonable guessing) served as the basis for solving…

Introduces The Square Thing, a lesson that engages and invites student development of problem solving and reasoning skills, understanding through connections within the content, and mathematics voice. Describes components for successful pedagogy and benefits for students experiencing this and similar mathematics pedagogies. (Author/MM)

This paper consists of a learning unit for college algebra in which the problem presents three different payment plans for a tuition plan to pay for college expenses. The details of each payment plan are presented, each followed by several exercises so that comparisons of the results can be made across payment plans. (MM)

Presents activities designed to engage students in an experiential and theoretical application of problems in precalculus and to study geometry, coordinate systems, rates, linear applications, and the concept of function. Illustrates problem situations and includes student worksheets and a teacher's guide. (KHR)

Presents problems designed to focus student attention on the visual representations that accompany the verbal statements of problem situations involving motion over a period of time. Shows that as a result of engaging in these activities, students gain a better understanding of a given problem situation before they apply procedures to answer…

Shares some explorations of Fibonacci sequences with a special focus on problem-solving and posing processes. (ASK)

Encourages students to use reasoning and quantitative problem-solving skills to discover the solution to an important practical problem related to absolute-value function and statistical median. (ASK)

Introduces a lesson that incorporates numeric, graphic, and algebraic approaches as well as a strong verbal communication component into the maximizing problem. (ASK)