"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

In this paper, I examine the utility of a mathematics learning trajectory as a tool to support teachers' attention to students' mathematical thinking. I present findings from one second grade teacher's use of a learning trajectory as she planned a sequence of three mathematics lessons. Findings suggest learning trajectories support teachers in…

Describes a lesson plan in which students apply their mathematical intuition to determine win-loss possibilities of teams in a sports league and develop a formula for calculating the magic number for clinching first place. (YDS)

Presents a problem and a variety of proportional reasoning strategies used by students to solve the problem. (YDS)

Uses concrete models to teach conventional algebraic topics with emphasis on connections to other mathematical concepts such as notion of variable, number properties, and geometry. (Contains 10 references.) (YDS)

This project opens a conversation about the use of discourse as the basis for encouraging students' mathematical thinking in classrooms and supporting professional growth. A collaboration of teacher practitioners and Math Forum staff, it reflects an attempt to integrate practice and research, reporting on findings culled from discussions of…

Describes an activity in which students demonstrate through a variety of creative mathematical analogies just how big Bill Gates's fortune is. (YDS)

Car Builder is a scientific CD-ROM-based simulation program that lets students design, construct, modify, test, and compare their own cars. Students can design sedans, four-wheel-drive vehicles, vans, sport cars, and hot rods. They may select for aerodynamics, power, and racing ability, or economic and fuel efficiency. It is a program that teaches…

Describes a mathematics lesson using digital sums that allows teachers to assess third grade students' understanding of reasoning, arithmetic, and geometry. (ASK)

Stickybear's Math Splash is a CD-ROM-based software tool for teaching mathematics skills beyond simple number recognition to elementary students. The accompanying printed lesson plans are designed to complement mathematics skills with other methods and areas of emphasis including kinesthetic learning, listening skills, decision making skills, and…

Stickybear's Math Town is a CD-ROM-based software tool for teaching mathematics skills beyond simple number recognition. Accompanying printed lesson plans are designed to complement mathematics skills with other methods and areas of emphasis including kinesthetic learning, listening skills, decision making skills, and other vital tools for…