Reasonable Hope (Math)

Reasonable Hope (Math)

by Dave Kester
Season 1

Beauty Points Beyond Itself

AI
Why does beauty move us so deeply? In this concluding reflection, we explore how mathematics points beyond itself toward wonder, mystery, and hope. Along the way, I share why the beauty I find in mathematics has become a source of encouragement during life's most uncertain seasons.

Climbing the Math Mountain

AI
What if mathematics is less about getting answers and more about learning to see? Dave shares a memorable climb up Longs Peak and explores how changing perspective can reveal beauty and connections that were there all along.

The Same Thing, Different Views

AI
A car’s position, speed, and acceleration are different ways of describing the same journey. Dave reflects on how changing perspectives—from child to parent to grandparent—can deepen our understanding of life and relationships.

Going Deeper

AI
The deeper Dave explored calculus, the more perspectives he discovered. From student to tutor to teacher, he reflects on how returning to the same subject again and again revealed an ocean beneath what first looked like a swimming pool.

How I Found My Math Toolbelt

AI
A college project challenged Dave to create a mathematics problem instead of simply solving one. That experience transformed math from a collection of answers into a collection of tools—and changed how he approached learning, growth, and hope.

The Hidden Roots

AI
Calculus may seem like a world of its own, but it is built on centuries of ideas and discoveries. Dave explores the hidden roots of mathematics and reflects on the people whose influence helped shape his own life.

When Things Are Equal

AI
What do laps, miles, dollars, and tablespoons have in common? Mathematics helps us recognize when different descriptions represent the same reality, revealing a surprising perspective on equality and connection.

The Circle That Refuses to Convert

AI
Most measurements can be converted and reconciled. A circle is different. Dave explores the ancient mystery of π and the surprising relationship between a circle’s diameter and circumference—a relationship we didn’t invent, but discovered.

We Are Born Curious

AI
Why do children ask so many questions? Through the story of his grandson and an unexpected birthday gift, Dave explores how curiosity is something we are born with—and something many of us need to rediscover. What if curiosity isn’t something to learn, but something to recover?

What Happens When Curiosity Stops?

AI
Growing up in a sports-centered family shaped how Dave viewed success—and limited what he was willing to learn from others. Drawing on Adam Grant’s “scientist mindset,” today’s reflection explores how curiosity reopens doors that certainty often closes.
6 of 16