The choice and context of authentic problems—such as designing a staircase or a soda can—illustrate the modeling process in several stages.
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Solve It!: Parts of a Parallelogram
little problems with big solutions
Sherry L. Bair and JoAnn Cady
To elicit creative student thinking, this open-ended problem asks solvers to calculate the ratio of areas of a parallelogram.
Erik Jacobson
Table representations of functions allow students to compare rows as well as values in the same row.
Solve It! Student Thinking: Aunt Martha's Cupcakes
big solutions to little problems
Sherry L. Bair and Edward S. Mooney
Solutions to a February 2013 Solve It! problem are discussed, and the procedures used with problem solving are explored.
Kara L. Imm and Meredith D. Lorber
By exploring an open-ended investigation involving proportional reasoning, students were able to walk through both problem solving and modeling.
Nicole Pitsolantis and Helena P. Osana
Three specific sites, or points in real time, during problem solving gave fifth and sixth graders conceptual understanding, procedural skill, and the ability to justify their mathematical thinking about fractions.
Jessica S. Cohen
Use strip diagrams to model and solve problems requiring proportional reasoning.
Aunt Martha's Cupcakes
little problems with big solutions
Sherry Bair and Edward S. Mooney
The problem involving partial sums invites students to devise their own model and strategies.
Model-Eliciting Activities for Teaching Mathematics
research matters for teachers
Jonathan D. Bostic
Teaching about, teaching for, and teaching through problem solving are explored.
Solve It!: Suit Up!
little problems with big solutions
Sherry L. Bair and Edward S. Mooney
An open-ended problem elicits creative student thinking.
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