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Ralph Gordon Stanton

Ralph Gordon Stanton is a astronomy 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 Ralph Gordon Stanton rather than just read about it. In short: Ralph Gordon Stanton (21 October 1923 – 21 April 2010) was a Canadian mathematician, teacher, scholar, and pioneer in mathematics and computing education. As a researcher, he made important contributions in the area of discrete mathematics; and as an educator and administrator, was also instrumental in founding the Faculty of Mathematics at the University of Waterloo, and for establishing its unofficial mascot of th…

Key takeaways

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

Reference excerpt

Ralph Gordon Stanton (21 October 1923 – 21 April 2010) was a Canadian mathematician, teacher, scholar, and pioneer in mathematics and computing education. As a researcher, he made important contributions in the area of discrete mathematics; and as an educator and administrator, was also instrumental in founding the Faculty of Mathematics at the University of Waterloo, and for establishing its unofficial mascot of the pink tie.

Life and education Stanton was born in Lambeth, Ontario, Canada on 21 October 1923. He was the eldest of four children. Stanton received his BA in Mathematics and Physics in 1944 from the University of Western Ontario. He went on to receive his MA in 1945 and PhD in 1948, both from the University of Toronto. His PhD dissertation was on the topic "On The Mathiew Group M(Sub 24)", under advisor Richard Dagobert Brauer. He received honorary Doctor of Science degrees from the University of Queensland in 1989, and from the University of Natal in 1997. He also received an honorary D. Math from the University of Waterloo in 1997.

Career

Faculty positions From 1946 to 1957 Stanton taught at the University of Toronto. In 1957, he moved to Kitchener-Waterloo to work at what was then Waterloo College, which was undergoing expansion, and became what is currently the University of Waterloo. At the time of his arrival he constituted the entirety of the Mathematics Department. Stanton became the university's first Dean of Graduate Studies in 1960. He turned the Department of Mathematics into the Faculty of Mathematics, which when it opened on January 1, 1967 was the first of its kind in North America. In 1967 he moved to York University to found their Graduate program in Mathematics. In 1970 he moved to the University of Manitoba's Department of Computer Science, serving successively as Head, Professor, and Distinguished Professor.

Research Stanton's main areas of research were in statistics and applied statistics; algebra; mathematical biology; combinatorial design theory, including pair-wise balanced designs, difference sets, covering and packing designs, and room squares; graph theory, including graph models of networks; and algorithms.

Teaching and other influences Stanton's influence on the young University of Waterloo extended to many areas. He hired Wes Graham, who Stanton had taught as an undergraduate. Graham became one of the first professors of computer science at the university, and the first Director of its Computing Centre in 1962. Stanton was one of five members of the Academic Advisory Committee that, in 1958, urged the board of governors to buy the Schweitzer farm on the outskirts of Waterloo that today houses the main campus. He introduced computers to classroom teaching in 1960, and introduced co-op programs in applied mathematics and computer science. His interest in teaching extended to the secondary school level. He encouraged teaching of computing science and mathematics in high schools, serving as editor of two high school mathematical journals, member of Ontario provincial curriculum committees, and was actively involved in developing the Canadian Junior Mathematics Contest and the Descartes Senior Mathematics Competition, now administered by the University of Waterloo's Centre for Education in Mathematics and Computing. Stanton's gaudy neckties were the inspiration for the University of Waterloo's Faculty of Mathematics mascot, a giant pink tie that was hung by students over the Math and Computer Building when it opened in 1968. The pink tie remains the unofficial symbol of the Mathematics Faculty, with the Mathematics Society distributing more than 1000 pink ties to new students in the first week of the school year. Stanton founded and administered three not-for-profit corporations dedicated to mathematical research and communication. "Utilitas Mathematica Publishing" started in the 1970s and published conference proceedings in mathematics and scientific computing. He founded the Charles Babbage Research Centre (CBRC), a registered charitable organization, to promote conferences and encourage the publication of research. The CBRC currently has published the Canadian journal of combinatorics, Ars Combinatoria, since its inception in 1976, and continues to publish six volumes per year. In 1990 he began his final project, the Institute of Combinatorics and its Applications (ICA). Although the institute was minimally active after Stanton's death in 2010, in March 2016 it resumed its full activities. Stanton also helped organize the first Southeastern Conference on Combinatorics, Graph Theory, and Computing. He continued as one of the organizers until at least 1991, at which point it was the largest combinatorial meeting in the world.

Awards In 1985 he was awarded the Killam Prize in Mathematics for Natural Sciences from the Canada Council for the Arts. (As of 2017, five prizes of $100,000 Cdn are awarded annually.)

Literature collection Stanton's collection of French and Portuguese literature was described as one of the world's largest private collections of classical Portuguese literature. He donated his collection to the Fisher Rare Book Library at the University of Toronto. His donations spanned from 1987 to his death in 2010, with the bulk being donated in the 1990s. Thanks to his generosity, the Fisher Rare Book Library now "boasts comprehensive collections of most of the significant French playwrights of the Classical period". An example of his donations is a two-volume set of the 1587 edition of Holinshed's Chronicles.

References

Worked examples

Example 1 — a first encounter with Ralph Gordon Stanton

Start with the simplest possible case. Write down what Ralph Gordon Stanton claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Ralph Gordon Stanton 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 Ralph Gordon Stanton 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 Ralph Gordon Stanton

In research
Ralph Gordon Stanton appears in astronomy 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 Ralph Gordon Stanton 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
Ralph Gordon Stanton is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1923 births, 2010 deaths, Academic staff of the University of Manitoba, so understanding it makes those chapters shorter.
In everyday life
Look for Ralph Gordon Stanton 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 Ralph Gordon Stanton in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Ralph Gordon Stanton 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 Ralph Gordon Stanton out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ralph Gordon Stanton in simple terms?

Ralph Gordon Stanton (21 October 1923 – 21 April 2010) was a Canadian mathematician, teacher, scholar, and pioneer in mathematics and computing education. As a researcher, he made important contributions in the area of discrete mathematics; and as an educator and administrator, was also instrumenta…

Why does Ralph Gordon Stanton matter?

Because it connects several astronomy 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 Ralph Gordon Stanton?

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 Ralph Gordon Stanton.

Tags

  • 1923 births
  • 2010 deaths
  • Academic staff of the University of Manitoba
  • Academic staff of the University of Toronto Faculty of Arts and Science
  • Academic staff of the University of Waterloo
  • Canadian mathematicians
  • Computer scientists of the University of Toronto
  • Mathematicians of the University of Toronto
  • People from London, Ontario
  • University of Toronto alumni
  • University of Western Ontario alumni

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