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• Problem Solving
• Modelling
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## Authenticity of Mathematical Modeling

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

To elicit creative student thinking, this open-ended problem asks solvers to calculate the ratio of areas of a parallelogram.

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## Using Covariation Reasoning to Support Mathematical Modeling

Table representations of functions allow students to compare rows as well as values in the same row.

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## Solve It! Student Thinking: Aunt Martha's Cupcakes

### big solutions to little problems

Solutions to a February 2013 Solve It! problem are discussed, and the procedures used with problem solving are explored.

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## The Footprint Problem: A Pathway to Modeling

By exploring an open-ended investigation involving proportional reasoning, students were able to walk through both problem solving and modeling.

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## Fractions Instruction: Linking Concepts and Procedures

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.

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## Strip Diagrams: Illuminating Proportions

Use strip diagrams to model and solve problems requiring proportional reasoning.

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## Aunt Martha's Cupcakes

### little problems with big solutions

The problem involving partial sums invites students to devise their own model and strategies.

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## Model-Eliciting Activities for Teaching Mathematics

### research matters for teachers

Teaching about, teaching for, and teaching through problem solving are explored.

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## Solve It!: Suit Up!

### little problems with big solutions

An open-ended problem elicits creative student thinking.