Once upon a time, calculator and computer were job titles:  you could earn a living if you knew how to find 349817 \times 1351 or 13509715 \div 9874.  Today, these tasks can be performed by cell phone apps or the navigation bar of your web browser, and with only a little searching, you can answer the question “Write the equation of the line tangent to the graph of x^{3} + y^{3} = 9 xy at (2, 4)“–even if you have no idea what a tangent line, graph, or x^{3} + y^{3} = 9 xy at (2, 4) even means!

Some people look upon this with dismay:  What happens if the internet goes down and you need to find 349817 \times 1351 without a calculator?  The truth is…if the internet ever goes down, we’ll have much more pressing problems than an inability to find 349817 \times 1351 without a calculator.

It’s better to look on this as an opportunity:  for the first time in human  history, we can teach mathematics.  So join me on a journey to discover mathematics.  All you’ll need is a willingness to play around with ideas and see where they take you.

And if you enjoy the journey, consider supporting me on Patreon.