Ratio and proportional reasoning tasks abound that have connections to real-world situations. Examples in this article demonstrate how textbook tasks can easily be transformed into authentic real-world problems that shed light on issues of equity and fairness, such as population growth and crime rates. A few ideas are presented on how teachers can…

Describes a three-step process--exploring, inventing, and discovering--that helps students derive concepts actively from problem solving. (YDS)

Uses SimCalc MathWorlds, which is downloaded from the World Wide Web, to engage students in algebraic problem-solving activities. Uses software to animate characters by creating graphs of position and velocity. (YDS)

Describes the use of the principles of challenging work, student autonomy, and student collaboration to involve students in constructing mathematical meaning as part of the regular curriculum. Challenge is created by the material and by the classroom environment to encourage student interest and thinking. Autonomy is encouraged by leading students…