Mathematics Galore! Showcases some of the best activities and student outcomes of the St. Mark’s Institute of Mathematics and invites you to engage the mathematics yourself! Revel in the delight of deep intellectual play and marvel at the heights to which young scholars can rise. See some great mathematics explained and proved via natural and accessible means.
Based on 26 essays (“newsletters”) and eight additional pieces, Mathematics Galore! offers a large sample of mathematical tidbits and treasures, each immediately enticing, and each a gateway to layers of surprising depth and conundrum. Pick and read essays in no particular order and enjoy the mathematical stories that unfold. Be inspired for your courses, your math clubs and your math circles, or simply enjoy for yourself the bounty of research questions and intriguing puzzlers that lie within.
MAA Author James Tanton talks about his book Mathematics Galore! and future plans below.
I am so proud of my students, the intellectual heights to which they can soar!
Mathematics Galore! showcases some of the best and most innovative outcomes from the St. Mark’s Institute of Mathematics, a mathematics outreach program founded nine years ago through St. Mark’s School in Southborough, Massachusetts. The goal of the Institute was simply to promote joyful mathematics thinking and doing, for students and for teachers, and for all interested in thinking deeply about rich mathematical topics. And when given the freedom to think, and explore, and play with ideas, there really are no bounds on the wonders one can encounter.
Young students, for example, found a very natural and intuitive means to explain the famous Borsuk-Ulam theorem – at any instant there exist two antipodal points on the surface of the Earth with exactly the same air temperature and air pressure. (Their approach is in the book.) They found a new, purely visual explanation for the Galilean ratios, one that naturally extends to reveal a whole myriad of astounding new fraction ratios. (Their work is in the book.) And they have found astonishing connections between paper folding and counting permutations. All this, and so much more, is in the book!
Mathematics Galore! is chock-full of all sorts of intriguing mathematical ideas, ideal for student projects (undergraduate, high school, younger, older) and interesting reflection for one’s own enjoyment. Puzzles and challenges and research ideas abound. (But don’t worry, you are not always left in the lurch – explanations and proofs abound too!)
Pick up Mathematics Galore! every now and then and to read just a tidbit or two. Or sit down and delve deeply into a series of ideas and see what new and exciting connections they inspire.
This book really does reflect my fundamental belief that mathematics can be a joyful and meaningful experience for all. I have recently focused my career on helping bring joy to the high-school mathematical experience by thinking deeply and realistically about secondary education, by becoming a high school teacher myself, by establishing an outreach Institute and conducting outreach work for educators across the nation too. The content on my math website, www.jamestanton.com, deeply ties in with this work and shows how the approach I have taken with, Mathematics Galore! fits and links in with matters of the curriculum. My plan for the future is simply to continue with this mission of bringing joyful thinking and doing to the general mathematics experience.