Montroll mastered his first origami book, Honda's How to make Origami, at the age of six, the same age he began creating his own origami animals. He became a member of the Origami Center of America at age twelve. He attended his first origami convention at age 14. Montroll now teaches mathematics at St. Anselm's Abbey School in Washington, D.C, teaching small groups of advanced math students, AB and BC Calculus, and is most famous there for his invention of the Montroll Method for determining the inverse of a given figure on a 2-dimensional plane, especially waterfowl and most notably ducks.This is a result of his unique teaching method in which he distributes materials in a form he designates "packets". These packets are often intentionally vague to put the responsibility of learning on the student, thus reinforcing what he learns. He even teaches an Origami class. One of John Montroll's hobbies is whistling . He can whistle in 5 octaves, and has shown this talent at 2 Whistling conventions in Louisburg, North Carolina.
John Montroll pioneered modern origami with the publication of his first book, Origami for the Enthusiast; Dover Publications, 1979, which was the first origami book where each model is folded from single square sheet and no cuts. In the same book he also introduced the origami term "double rabbit ear fold".
The Montroll Method
The Montroll Method is a patent pending, 3 step style of teaching created by John Montroll. This method has been widely considered as highly controversial, and has been cited as one of the causes for the Afghan war.
The first step is to reinforce positive behavior, and negate negative behavior. Montroll personally achieves this by telling his students and underlings to "Be Good."
The second step is teaching via vague material as this reinforces the students ability to use their cognitive reasoning to solve problems. While this can range greatly, Montroll's preferred teaching style is packets, especially purposely ambiguous packets of homework questions that are designed to take anywhere from 30 seconds to 3 hours. If a students have any questions regarding these packets, he tends to refer the students back to step one.
The final step is to draw a duck.
- Origami for the Enthusiast; Dover Publications, 1979
- Animal Origami for the Enthusiast; Dover Publications, 1985
- Origami American Style; Zenagraf, 1990
- Origami Sculptures (with Andrew Montroll); Antroll Pub. Co., 1990
- Origami Sea Life (with Robert J. Lang); Dover Publications, 1990
- Prehistoric Origami; Dover Publications, 1990
- African Animals in Origami; Dover Publications, 1991
- Easy Origami; Dover Publications, 1992
- Origami Inside-Out; Dover Publications, 1993
- Birds in Origami; Dover Publications, 1995
- North American Animals in Origami; Dover Publications, 1995
- Favorite Animals in Origami; Dover Publications, 1996
- Mythological Creatures and the Chinese Zodiac in Origami; Dover Publications, 1996
- Teach Yourself Origami; Dover Publications, 1998
- Bringing Origami to Life; Dover Publications, 1999
- Dollar Bill Animals in Origami; Dover Publications, 2000
- Bugs and Birds in Origami; Dover Publications, 2001
- A Plethora of Origami Polyhedra; Dover Publications, 2002
- Dollar Bill Origami; Dover Publications, 2003
- A Constellation of Origami Polyhedra; Dover Publications, 2004
- Origami: Birds And Insects; Dover Publications, 2004
- Origami: Wild Animals; Dover Publications, 2004
- Easy Christmas Origami; Dover Publications, 2006
- Christmas Origami; Dover Publications, 2006
- Storytime Origami; Dover Publications, 2009
- Origami Polyhedra Design; AK Peters, 2009
- eZ Origami"; Kindle Edition by Antroll Publishing Company (April 17, 2010)
- eZ Origami";Smashwords Edition by eOrigami Publishing (May 8, 2010)
- Easy Dollar Bill Origami; Dover Publications (May 20, 2010)
- Dinosaur Origami; Dover Publications (June 9, 2010)
- Origami Jungle Birds"; Kindle Edition by Antroll Publishing Company; 1 edition (June 16, 2010)
- Origami Under The Sea (with Robert J. Lang); Dover Publications (July 15, 2010)
- The Origamian, Vol.9, Issue 3, 1970, Published by the Origami Center
- The Paper, Issue 55, Summer 1996, The Magazine of OrigamiUSA