Juggling Mathematical Understanding

Juggling and Card Shuffling Meet Mathematical Fonts

We explore two of Ron Graham’s passions—juggling patterns and perfect card shuffling— through one of our passions, mathematical fonts. First, for each letter of the English alphabet, we design a one-person three-ball juggling pattern where the balls trace out the letter (possibly rotated 90◦). Second, using a deck of 26 cards labeled A through Z, we show how to perform a sequence of in/out perf...

Development of Mathematical Understanding

The nature of children’s numerical, arithmetical, and mathematical understanding and the mechanisms that underlie the development of this knowledge are at the center of an array of scientific, political, and educational debates. Scientific issues range from infants’ understanding of quantity and arithmetic (Cohen & Marks, 2002; Starkey, 1992; Wynn, 1992a) to the processes that enable middle-sch...

Understanding Mathematical Discourse

Discourse Understanding is hard. This seems to be especially true for mathematical discourse, that is proofs. Restricting discourse to mathematical discourse allow us, however, to study the subject matter in its purest form. This domain of discourse is rich and welldefined, highly structured, offers a well-defined set of discourse relations and forces/allows us to apply mathematical reasoning. ...

Eye Juggling: A Methodology for Interpreting Stories Eye Juggling Outline

Juggling Probabilities

From the right perspective, everything is mathematical — even juggling. In this talk, I'll describe how juggling relates to traditional mathematical fields such as graph theory and look at what happens when a person starts juggling randomly. In doing so, I'll illustrate how these mathematical underpinnings can be useful to even accomplished jugglers. There will be numerous live demonstrations w...