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Mabel Gweneth Humphreys

Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys rather than just read about it. In short: Mabel Gweneth Humphreys (1911-2006) was a Canadian-American mathematician and Professor of Mathematics at Randolph-Macon Woman's College. The M.

Key takeaways

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

Reference excerpt

Mabel Gweneth Humphreys (1911-2006) was a Canadian-American mathematician and Professor of Mathematics at Randolph-Macon Woman's College. The M. Gweneth Humphreys Award of the Association for Women in Mathematics was established in her honor.

Education Humphreys attended North Vancouver High School from 1925 to 1928. She received her Bachelor of Arts with honors in mathematics from the University of British Columbia in 1932, where she held scholarships for all four years. She studied at Smith College under Susan Miller Rambo, among others. She earned a master's degree in mathematics in 1933. She received her Ph.D. in mathematics from the University of Chicago in 1935. Her dissertation was entitled On the Waring Problem with Polynomial Summands and her advisor was Leonard Eugene Dickson.

Career In 1981, Humphreys described her first attempts to find a job after completing her Ph.D.:

I had hoped that the University of Chicago would hear about a job for me, but only one came through, and the male candidate who got his thesis at the same time got that job. In the meantime, I had registered at a teacher’s agency in downtown Chicago, and many cards came in for the sum of something like $900, and you taught all the mathematics in the four years, and you were dean of women, or all of mathematics and coach some sport. I said to myself I wasn’t going to do this; I was going to stick around in Chicago and wait tables somewhere and study more mathematics. After awhile a card came through from Kansas, a woman’s college, and they needed a woman with a Ph.D. in either mathematics or physics to teach both. This was a substitute position, which was vacant because Sr. Helen Sullivan ... was ill. I took that and taught there for that one year. I was very busy I must say, but it was a great apprenticeship. I enjoyed it very much. From 1935 to 1936, Humphreys was an instructor of mathematics and physics at Mount St. Scholastica College. She began teaching at H. Sophie Newcomb Memorial College in 1936 and was promoted to assistant professor in 1941. She was also an assistant professor at Barnard College in the summer of 1944, and an assistant professor at Tulane University in the summer of 1946. In 1949, Humphreys became an associate professor of mathematics at Randolph-Macon Woman's College in Lynchburg, Virginia. After one year at Randolph-Macon, she was named Gillie A. Larew Professor and head of the mathematics department. She was head of the department until 1979. For the 1955-1956 academic year, Humphreys went on sabbatical leave to the University of British Columbia (UBC). During this time, she visited undergraduate mathematics programs at several colleges and universities to examine their methods. From 1962 to 1963, she was a visiting professor at UBC as a National Science Foundation (NSF) faculty fellow. In the summers, Humphreys taught high school teachers at NSF summer institutes. From 1965 to 1969, Humphreys worked for the Educational Testing Service. She was also a consultant in 1975 for the American Council on Education regarding mathematics course credit given by nonacademic organizations. Humphreys was an active member of the Mathematical Association of America at both the sectional and national levels.

Awards and legacy Humphreys earned the Governor General's Gold Medal in 1932, which was awarded to the college student with the highest grade point average in Canada. The M. Gweneth Humphreys Award of the Association for Women in Mathematics is named in her honor. Each year, this award is presented to a mathematics educator who has encouraged women undergraduates to pursue mathematical careers.

Personal life Humphreys was born on October 22, 1911 in South Vancouver, British Columbia. Her mother, Mabel Jane Thomas (1885-1963), was born in London, England, and worked as a dressmaker and a florist. Her father was Richard Humphreys (1880-1969), a machinist who was born in Pwllheli, Wales. Her parents were married in 1910, and Humphreys was their only child. In 1941, Humphreys became a naturalized U.S. citizen. Humphreys' hobbies included gardening and reading. She was an active member of the Natural Bridge Appalachian Trail Club. She lived in Lynchburg, Virginia, through her retirement in 1980 until her death on October 6, 2006.

References

External links Honoring American Women in Mathematics: Pre-World War II PhD’s (Smithsonian National Museum of American History).

Worked examples

Example 1 — a first encounter with Mabel Gweneth Humphreys

Start with the simplest possible case. Write down what Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys

In research
Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys 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
Mabel Gweneth Humphreys is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1911 births, 2006 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys in 20 minutes

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

Frequently asked questions

What is Mabel Gweneth Humphreys in simple terms?

Mabel Gweneth Humphreys (1911-2006) was a Canadian-American mathematician and Professor of Mathematics at Randolph-Macon Woman's College. The M.

Why does Mabel Gweneth Humphreys 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 Mabel Gweneth Humphreys?

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 Mabel Gweneth Humphreys.

Tags

  • 1911 births
  • 2006 deaths
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 20th-century American women scientists
  • 20th-century Canadian mathematicians
  • 20th-century Canadian women mathematicians
  • 20th-century Canadian women scientists
  • Canadian emigrants to the United States
  • Naturalized citizens of the United States
  • Number theorists
  • Randolph–Macon College faculty

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