The Mathematical Association of America's American Mathematics Competitions' website, www.maa.org/math-competitions, announces loud and clear:

For over six decades dedicated and clever folk of theMAAhave been creating and collating marvelous, stand-alone mathematical tidbits and sharing them with the world of students and teachers through mathematics competitions. Each question devised serves as a portal for deep mathematical mulling and exploration. Each is an invitation to revel in the mathematical experience.

And more! In bringing together all the questions that link to one topic a coherent mathematical landscape, ripe for a guided journey of study, emerges. The goal of this series is to showcase the landscapes that lie within the MAA's competition resources and to invite students, teachers, and all life-long learners, to engage in the mathematical explorations they invite. Learners will not only deepen their understanding of curriculum topics, but also gain the confidence to play with ideas and work to become agile intellectual thinkers.

I was recently asked by some fellow mathematics educators what my greatest wish is for our next generation of students. I responded:

Our complex society demands of our next generation not only mastery of quantitative skills, but also the confidence to ask new questions, to innovate, and to succeed. Innovation comes only from bending and pushing ideas and being willing to flail. One must rely on one's wits and on one's common sense. And one must persevere. Relying on memorized answers to previously asked—and answered!—questions does not push the frontiers of business research and science research.

TheMAA competition resources provide today's mathematics thinkers, teachers, and doers:

1. • the opportunity to learn and to teach problem-solving, and

2. • the opportunity to review the curriculum from the perspective of understanding and clever thinking, letting go of memorization and rote doing.