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Martin Gardner

Martin Gardner is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Martin Gardner rather than just read about it. In short: Martin Gardner (October 21, 1914 – May 22, 2010) was an American writer on popular mathematics and popular science. His interests also encompassed magic, scientific skepticism, micromagic, philosophy, religion, and literature – especially the writings of Lewis Carroll, L.

Martin Gardner — main illustration
Martin Gardner — illustration

Key takeaways

  • Martin Gardner belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Martin Gardner to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Martin Gardner from memory before moving on to harder problems.

Reference excerpt

Martin Gardner (October 21, 1914 – May 22, 2010) was an American writer on popular mathematics and popular science. His interests also encompassed magic, scientific skepticism, micromagic, philosophy, religion, and literature – especially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton. He was a leading authority on Lewis Carroll; The Annotated Alice, which incorporated the text of Carroll's two Alice books, was his most successful work and sold over a million copies. He had a lifelong interest in magic and illusion and in 1999, MAGIC magazine named him as one of the "100 Most Influential Magicians of the Twentieth Century". He was considered the doyen of American puzzlers. He was a prolific and versatile author, publishing more than 100 books. Gardner was best known for creating and sustaining interest in recreational mathematics—and by extension, mathematics in general—throughout the latter half of the 20th century, principally through his "Mathematical Games" columns. These appeared for twenty-five years in Scientific American, and his subsequent books collecting them. Gardner was one of the foremost anti-pseudoscience polemicists of the 20th century. His 1957 book Fads and Fallacies in the Name of Science is a seminal work of the skeptical movement. In 1976, he joined with fellow skeptics to found CSICOP, an organization promoting scientific inquiry and the use of reason in examining extraordinary claims.

Biography

Youth and education Martin Gardner was born into a prosperous family in Tulsa, Oklahoma, to James Henry Gardner, a petroleum geologist, and his wife, Willie Wilkerson Spiers, a Montessori-trained teacher. His mother taught Martin to read before he started school, reading him The Wizard of Oz, which began a lifelong interest in the Oz books of L. Frank Baum. His fascination with mathematics started in his boyhood when his father gave him a copy of Sam Loyd's Cyclopedia of 5000 Puzzles, Tricks and Conundrums.

He attended the University of Chicago where he studied history, literature and sciences under their intellectually-stimulating Great Books curriculum and earned his bachelor's degree in philosophy in 1936. Early jobs included reporter on the Tulsa Tribune, writer at the University of Chicago Office of Press Relations, and case worker in Chicago's Black Belt for the city's Relief Administration. During World War II, he served for four years in the U.S. Navy as a yeoman on board the destroyer escort USS Pope in the Atlantic. His ship was still in the Atlantic when the war came to an end with the surrender of Japan in August 1945. After the war, Gardner returned to the University of Chicago. He attended graduate school for a year there, but he did not earn an advanced degree.

Early career In the late 1940s, Gardner moved to New York City and became a writer and editor at Humpty Dumpty magazine, where for eight years, he wrote features and stories for it and several other children's magazines. His paper-folding puzzles at that magazine led to his first work at Scientific American. For many decades, Gardner, his wife Charlotte, and their two sons, Jim and Tom, lived in Hastings-on-Hudson, New York, where he earned his living as a freelance author, publishing books with several different publishers, and also publishing hundreds of magazine and newspaper articles.

Middle age In 1950, he wrote an article in the Antioch Review entitled "The Hermit Scientist". It was one of Gardner's earliest articles about junk science, and in 1952 a much-expanded version became his first published book: In the Name of Science: An Entertaining Survey of the High Priests and Cultists of Science, Past and Present. The year 1960 saw the original edition of the best-selling book of his career, The Annotated Alice. In 1957 Gardner started writing a column for Scientific American called "Mathematical Games". It ran for over a quarter century and dealt with the subject of recreational mathematics. The "Mathematical Games" column became the most popular feature of the magazine and was the first thing that many readers turned to. In September 1977 Scientific American acknowledged the prestige and popularity of Gardner's column by moving it from the back to the very front of the magazine.

Retirement and death In 1979, Gardner left Scientific American. He and his wife Charlotte moved to Hendersonville, North Carolina. He continued to write math articles, sending them to The Mathematical Intelligencer, Math Horizons, The College Mathematics Journal, and Scientific American. He also revised some of his older books such as Origami, Eleusis, and the Soma Cube. Charlotte died in 2000 and in 2004 Gardner returned to Oklahoma, where his son, James Gardner, was a professor of education at the University of Oklahoma in Norman. He died there on May 22, 2010. An autobiography – Undiluted Hocus-Pocus: The Autobiography of Martin Gardner – was published posthumously.

Mathematical Games column

The "Mathematical Games" column began with a free-standing article on hexaflexagons which ran in the December 1956 issue of Scientific American. Flexagons became a bit of a fad and soon people all over New York City were making them. Gerry Piel, the SA publisher at the time, asked Gardner, "Is there enough similar material to this to make a regular feature?". Gardner said he thought so. The January 1957 issue contained his first column, entitled "Mathematical Games". Almost 300 more columns were to follow. It ran from 1956 to 1981 with sporadic columns afterwards and was the first introduction of many subjects to a wider audience, notably:

… excerpt ends here. Continue reading the full article.

Illustrations

Martin Gardner illustration
Martin Gardner: Gardner as a high school senior, 1932
Gardner as a high school senior, 1932
Martin Gardner: Solomon Golomb's Polyominoes were among the many recreational mathematics topics featured by Gardner in his column. The 35 hexominoes are depicted.
Solomon Golomb's Polyominoes were among the many recreational mathematics topics featured by Gardner in his column. The 35 hexominoes are depicted.

Worked examples

Example 1 — a first encounter with Martin Gardner

Start with the simplest possible case. Write down what Martin Gardner claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Martin Gardner before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Martin Gardner ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Martin Gardner

In research
Martin Gardner appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Martin Gardner in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Martin Gardner is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1914 births, 2010 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Martin Gardner outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Martin Gardner in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Martin Gardner means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Martin Gardner out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Martin Gardner in simple terms?

Martin Gardner (October 21, 1914 – May 22, 2010) was an American writer on popular mathematics and popular science. His interests also encompassed magic, scientific skepticism, micromagic, philosophy, religion, and literature – especially the writings of Lewis Carroll, L.

Why does Martin Gardner matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Martin Gardner?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Martin Gardner.

Tags

  • 1914 births
  • 2010 deaths
  • 20th-century American mathematicians
  • 20th-century American science writers
  • 20th-century pseudonymous writers
  • 21st-century American mathematicians
  • 21st-century pseudonymous writers
  • Academy of Magical Arts Lifetime Achievement Fellowship winners
  • American critics of alternative medicine
  • American deists
  • American literary critics
  • American magicians

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