Ed Dubinsky was the originator of the APOS, action process object schema, framework and early studier of undergraduate math education. Bob Kaplan was a Harvard mathematician who started the Math Circles movement with his spouse Ellen. Jerry Becker ran a math teacher educator listserv for decades that was the first great electronic connection among us, and did ground breaking research studying comparisons and contrasts between US and Japanese mathematics teaching.

while you were looking for yourself out there?

“But tell me, did you sail across the sun? Did you make it to the Milky Way to see the lights all faded and that heaven is overrated?” - Train (Drops of Jupiter)

Speaking about the track to Culture Collide, Kramies said: "The Hill Dweller’ was the last song I wrote while staying in the castle. It was meant to be an ending to another song, a kind of hidden track that would connect the storyline of the EP. After sending just the acoustic and vocal tracks that I recorded in a farmhouse in Ireland to producer Jerry Becker of the band Train, I kind of just let it go. When Jerry sent the finished track back to me I was blown away. It had grown into its own setting and instantly became clear that this would be the final track to the new EP.”

Photo: Jeff Bliss

My favorite Train song. I absolutely love every word of this song, and I love the theme and message. Pat sounds amazing in this song, and he conveys all the emotions so well with his voice. I like that the melody is a bit different as well.

Photo: Jeff Bliss

Photo: Jeff Bliss