Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

# Browse

## Problems to Ponder

### Chris Harrow and Justin Johns

## The Do Nothing Machine

### Keith Dreiling

The Trammel of Archimedes traces an ellipse as the machine’s lever is rotated. Specific measurements of the machine are used to compare the machine’s actions on GeoGebra with the graph of the ellipse and an ellipse formed by the string method.

## Problems to Ponder

### Chris Harrow and Justin Gregory Johns

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

## STEM and Social Consciousness

### Krystal Jones Carter

A well-crafted classroom engineering challenge can effectively answer compelling questions about social and global responsibility.

## Problems to Ponder

### Chris Harrow, Justin Johns, and Hassan Lakiss

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

## Algebraic Thinking in the Context of Spatial Visualization

### Arsalan Wares and David Custer

This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.

## Math-Inspired Artwork

### Alessandra King, Sophia Ouanes, and Claire Doh

Students and teachers enjoy exploring the boundaries between mathematics and art.

## Problems to Ponder

### Justin Gregory Johns, Chris Harrow, and Ruthmae Sears

## GPS: Replicating Patterns

### Monica G. McLeod and Daniel K. Siebert

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

## Building Equitable Math Talk Classrooms

### Karen C. Fuson and Steve Leinwand

The power of Number Talks and extensions that can build to an equitable Math Talk Classroom