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mathematics

Katherine Johnson

Katherine Johnson 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 Katherine Johnson rather than just read about it. In short: Creola Katherine Johnson (née Coleman, previously Goble; August 26, 1918 – February 24, 2020) was an American mathematician and human computer whose calculations of orbital mechanics as a NASA employee were critical to the success of the first and subsequent U.S. crewed spaceflights. During her 33-year career at NASA and its predecessor, the National Advisory Committee for Aeronautics, she earned a reputation for ma…

Katherine Johnson — main illustration
Katherine Johnson — illustration

Key takeaways

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

Reference excerpt

Creola Katherine Johnson (née Coleman, previously Goble; August 26, 1918 – February 24, 2020) was an American mathematician and human computer whose calculations of orbital mechanics as a NASA employee were critical to the success of the first and subsequent U.S. crewed spaceflights. During her 33-year career at NASA and its predecessor, the National Advisory Committee for Aeronautics, she earned a reputation for mastering complex manual calculations and helped pioneer the use of computers to perform tasks previously requiring humans. The space agency noted her "historical role as one of the first African-American women to work as a NASA scientist". Johnson's work included calculating trajectories, launch windows, and emergency return paths for Project Mercury spaceflights, including those for astronauts Alan Shepard (the first American in space) and John Glenn (the first American in orbit), and rendezvous paths for the Apollo Lunar Module and command module on flights to the Moon. Her calculations were also essential to the beginning of the Space Shuttle program, and she worked on plans for a human mission to Mars. In 2015 President Barack Obama awarded Johnson the Presidential Medal of Freedom. In 2016, she received the Silver Snoopy Award from NASA astronaut Leland D. Melvin and a NASA Group Achievement Award. She was portrayed by Taraji P. Henson in the 2016 film Hidden Figures. In 2019, the United States Congress awarded Johnson the Congressional Gold Medal and NASA announced the establishment of the Katherine Johnson Independent Verification and Validation Facility in her home state of West Virginia. In 2021, she was posthumously inducted into the National Women's Hall of Fame.

Early life Katherine Johnson was born Creola Katherine Coleman on August 26, 1918, in White Sulphur Springs, West Virginia, to Joylette Roberta (née Lowe) and Joshua McKinley Coleman. She was the youngest of four children. Her mother was a teacher and her father was a lumberman, farmer, and handyman. He also worked at the Greenbrier Hotel. Johnson showed strong mathematical ability from an early age. Because Greenbrier County did not offer public schooling for African-American students beyond eighth grade, the Colemans arranged for their children to attend a high school in Institute, West Virginia, on the West Virginia State College (WVSC) campus; Johnson enrolled when she was ten years old. The family split their time between Institute during the school year and White Sulphur Springs in the summer.

After graduating from high school at age 14, Johnson matriculated at WVSC, a historically black college. She took every mathematics course the college offered. Several professors mentored her, including the chemist and mathematician Angie Turner King, who had guided Coleman throughout high school, and W. W. Schieffelin Claytor, the third African-American to receive a doctorate in mathematics. Claytor added new courses just for Johnson. In 1937, at age 18, she graduated summa cum laude with degrees in mathematics and French. Johnson was a member of Alpha Kappa Alpha. She took a teaching job at a black public school in Marion, Virginia. In 1939 after marrying her first husband, James Goble, she left her teaching job and enrolled in a graduate mathematics program. She quit at the end of the first session to focus on her family life. She was the first African-American woman to attend graduate school at West Virginia University in Morgantown, West Virginia. Through WVSC's president, John W. Davis, she became one of three African-American students, and the only woman, selected to integrate the graduate school after the 1938 United States Supreme Court ruling Missouri ex rel. Gaines v. Canada required states that provide public higher education to white students to also provide it to black students by establishing black colleges and universities or by admitting black students to formerly white-only universities.

Career

After her daughters grew up, Johnson returned to teaching. In 1952, a relative mentioned that the National Advisory Committee for Aeronautics (NACA) was hiring for its West Area computing section. At the Langley Memorial Aeronautical Laboratory, based in Hampton, Virginia, near Langley Field, NACA hired African-American mathematicians as well as whites for their Guidance and Navigation Department. Johnson accepted a job offer from the agency in June 1953. For Johnson to take the job, her family moved to Newport News. According to an oral history archived by the National Visionary Leadership Project:

At first she [Johnson] worked in a pool of women performing mathematical calculations. Katherine has referred to the women in the pool as virtual "computers who wore skirts". Their main job was to read the data from the plane's black boxes and carry out other precise mathematical tasks. Then one day, Katherine (and a colleague) were temporarily assigned to help the all-male flight research team. Katherine's knowledge of analytic geometry helped make quick allies of male bosses and colleagues to the extent that "they forgot to return me to the pool". While the racial and gender barriers were always there, Katherine ignored them. Katherine was assertive, asking to be included in editorial meetings (where no women had gone before). She simply told people she had done the work and that she belonged.

… excerpt ends here. Continue reading the full article.

Illustrations

Katherine Johnson illustration
Katherine Johnson: Johnson working at the Spacecraft Controls Branch of NASA in 1966.
Johnson working at the Spacecraft Controls Branch of NASA in 1966.
Katherine Johnson: The first NASA report showing Johnson's name as co-author.[27]
The first NASA report showing Johnson's name as co-author.[27]
Katherine Johnson: Johnson in 2008
Johnson in 2008
Katherine Johnson: The Presidential Medal of Freedom was awarded to Johnson in 2015.
The Presidential Medal of Freedom was awarded to Johnson in 2015.

Worked examples

Example 1 — a first encounter with Katherine Johnson

Start with the simplest possible case. Write down what Katherine Johnson 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 Katherine Johnson 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 Katherine Johnson 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 Katherine Johnson

In research
Katherine Johnson 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 Katherine Johnson 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
Katherine Johnson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1918 births, 2020 deaths, 20th-century American educators, so understanding it makes those chapters shorter.
In everyday life
Look for Katherine Johnson 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 Katherine Johnson in 20 minutes

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

Frequently asked questions

What is Katherine Johnson in simple terms?

Creola Katherine Johnson (née Coleman, previously Goble; August 26, 1918 – February 24, 2020) was an American mathematician and human computer whose calculations of orbital mechanics as a NASA employee were critical to the success of the first and subsequent U.S. crewed spaceflights. During her 33…

Why does Katherine Johnson 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 Katherine Johnson?

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 Katherine Johnson.

Tags

  • 1918 births
  • 2020 deaths
  • 20th-century American educators
  • 20th-century American mathematicians
  • 20th-century American physicists
  • 20th-century American women educators
  • 20th-century American women mathematicians
  • 20th-century American women physicists
  • 21st-century African-American people
  • 21st-century African-American women
  • 21st-century American mathematicians
  • 21st-century American physicists

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