mathematics

Martha K. Smith

Martha K. Smith 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 Martha K. Smith rather than just read about it. In short: Martha K. Smith is an American mathematician and mathematics educator.

Key takeaways

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

Reference excerpt

Martha K. Smith is an American mathematician and mathematics educator. She is a Professor Emerita in the Department of Mathematics and Associated Faculty (Emerita) of the Department of Statistics and Data Science at the University of Texas at Austin. She has made contributions to non-commutative algebra as well as to mathematics education.

Education and career Smith received a B.A. in mathematics (summa cum laude) from the University of Michigan in 1965, a M.S. in mathematics in 1967, and a Ph.D. in mathematics in 1970, both from the University of Chicago. Her dissertation "Group Algebras" was supervised by Israel Nathan Herstein. After completing her doctoral studies, Smith became a G.C. Evans Instructor of Mathematics at Rice University in Houston, Texas, where she remained from 1970–1972. She joined the faculty of the Department of Mathematics at Washington University in St. Louis in St. Louis, Missouri in 1972 as an assistant professor. She began her long career at the University of Texas at Austin in 1973 as an Assistant Professor of mathematics. She was promoted to Associate Professor in 1976 and to Professor in 1985. She retired in 2009 and became Professor Emerita of mathematics in 2019. In the late 1990s, Smith became interested in statistics and taught statistics even after she retired. In the late 1980s, the Texas legislature abolished mathematics education degrees and it became the responsibility of collegiate mathematics departments to prepare future K–12 teachers of mathematics. Smith took on this responsibility at the University of Texas at Austin. Smith used a variety of teaching methods as well bringing technology, group work, and writing projects into the curriculum before these techniques were in vogue. She held the belief that even the weakest student is capable of learning. In the late 1970s, Smith served on the AMS-ASA-MAA-SIAM Data Committee, which is responsible for preparing the Annual Survey of the profession. She served on various committees of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA) as well as serving as a referee for numerous journals and National Science Foundation panels. In 2011, Smith was a panelist for the AWM Hay Minisymposium Panel on the mathematical education of teachers and the Common Core at the Joint Mathematics Meetings in New Orleans, Louisiana.

Recognition In Spring 1993, Smith received a Department of Mathematics Teaching Award at the University of Texas at Austin. In 1994, Smith received the Dad's Association Centennial Teaching Fellowship at the University of Texas at Austin. In 1999, Smith was selected by the Association for Women in Mathematics to receive the Louise Hay Award for Contributions to Mathematics Education "in recognition of her very significant contributions to mathematics education and her outstanding achievements as a teacher and scholar".

Edited collections James W. Brewer and Martha K. Smith, Emmy Noether: A Tribute to Her Life and Work, Marcel Dekker, Monographs and Textbooks in Pure and Applied Mathematics Vol. 69, 1981, ISBN 978-0-8247-1550-2. S. Montgomery, M.K. Smith et al., Selected Papers on Algebra, Mathematical Association of America, The Raymond W. Brink Selected Mathematical Papers Vol. 3, 1977, ISBN 978-0-8838-5203-3.

References

External links Martha K. Smith's Author Profile on MathSciNet Academic website

Worked examples

Example 1 — a first encounter with Martha K. Smith

Start with the simplest possible case. Write down what Martha K. Smith 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 Martha K. Smith 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 Martha K. Smith 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 Martha K. Smith

In research: Martha K. Smith 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 Martha K. Smith 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: Martha K. Smith is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American educators, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Martha K. Smith 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 Martha K. Smith in 20 minutes

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

Frequently asked questions

What is Martha K. Smith in simple terms?

Martha K. Smith is an American mathematician and mathematics educator.

Why does Martha K. Smith 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 Martha K. Smith?

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 Martha K. Smith.