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.