Marion Walter (July 30, 1928 – May 9, 2021)
was an internationally-known mathematics educator and professor of mathematics at the
University of Oregon
The University of Oregon (UO, U of O or Oregon) is a Public university, public research university in Eugene, Oregon, United States. Founded in 1876, the university is organized into nine colleges and schools and offers 420 undergraduate and gra ...
in
Eugene, Oregon
Eugene ( ) is a city in and the county seat of Lane County, Oregon, United States. It is located at the southern end of the Willamette Valley, near the confluence of the McKenzie River (Oregon), McKenzie and Willamette River, Willamette rivers, ...
. There is a theorem named after her, called Marion Walter's Theorem or just Marion's Theorem as it is affectionately known.
Early life
Marion Walter was born in Berlin, Germany in 1928 to Erna and Willy Walter. Her father was a prosperous merchant who specialized in costume jewelry. In 1936, when the Nazis were gaining strength in Germany and it was no longer possible for Jews to attend public school, she and her sister, Ellen, were sent to a Jewish boarding school called Landschulheim Herrlingen in the village of
Herrlingen, a suburb of
Ulm. The book ''Education towards spiritual resistance: The Jewish Landschulheim Herrlingen, 1933 to 1939'' by Lucie Schachne documents this remarkable school, which was closed in 1939.
On March 15, 1939, Marion and Ellen Walter were sent on a ''
Kindertransport
The ''Kindertransport'' (German for "children's transport") was an organised rescue effort of children from Nazi
Nazism (), formally named National Socialism (NS; , ), is the far-right politics, far-right Totalitarianism, total ...
'' to England, where they attended a Church of England boarding school in
Eastbourne
Eastbourne () is a town and seaside resort in East Sussex, on the south coast of England, east of Brighton and south of London. It is also a non-metropolitan district, local government district with Borough status in the United Kingdom, bor ...
, on the southeastern coast of England.
Marion and Ellen Walter were reunited with their parents in England. After England entered World War II, in 1940 her father was sent to internment on the Isle of Man. He died there in 1943.
Eastbourne was in the path of a possible German invasion of England and all students at the boarding school were evacuated. Walter was sent to a school in the hamlet of
Wykey in
Shropshire
Shropshire (; abbreviated SalopAlso used officially as the name of the county from 1974–1980. The demonym for inhabitants of the county "Salopian" derives from this name.) is a Ceremonial counties of England, ceremonial county in the West M ...
, which was in a large country house where they bred cocker spaniels. She slept on an air mattress in a white-washed kennel. She was moved two more times. The last place she resided in was
Combermere Abbey in
Cheshire
Cheshire ( ) is a Ceremonial counties of England, ceremonial county in North West England. It is bordered by Merseyside to the north-west, Greater Manchester to the north-east, Derbyshire to the east, Staffordshire to the south-east, and Shrop ...
, which was acquired by Sir Kenneth Crossley.
After Walter completed her schooling at the age of sixteen in December 1944, the school's only mathematics teacher resigned. Since it was difficult to find a replacement during the war period, Walter was asked to teach math, in part because she had earned a mark of distinction on her Cambridge University School Certificate exam. She taught for two terms and found she enjoyed teaching.
Education and career
Walter attended college in England for two years before leaving for the United States in 1948 with her mother and sister. The family arrived in New York City in January 1948. She then attended
Hunter College
Hunter College is a public university in New York City, United States. It is one of the constituent colleges of the City University of New York and offers studies in more than one hundred undergraduate and postgraduate fields across five schools ...
, majoring in mathematics and minoring in education, graduating with a
B.A. in 1950. Ellen Walter returned to England to get married.
After graduating from Hunter, Walter taught at
Hunter College High School and
George Washington High School.
In the summers of 1952 and 1953, Walter was awarded a
National Bureau of Standards
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into physical sc ...
summer scholarship to study at the Institute of Numerical Analysis at
UCLA
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
. The main purpose of the Institute, sponsored by the
National Bureau of Standards
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into physical sc ...
and funded by the
Office of Naval Research, was to work towards the further development of high-speed automatic digital computing machinery. The senior staff at the Institute included
D.H. Lehmer (director),
Mark Kac,
Irving Kaplansky
Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician.O'Connor, John J.; Robertson, Edmund F., "Irving Kaplansky", MacTutor History of Mathematics archive, University of St And ...
, and
A Adrian Albert. During the second summer at the institute, she met
Olga Taussky-Todd
Olga Taussky-Todd (August 30, 1906 – October 7, 1995) was an Austrian and later Czech Americans, Czech-American mathematician. She published more than 300 research papers on algebraic number theory, integral matrices, and Matrix (mathematics), ...
who became her mentor and encouraged her to complete her master's degree.
Marshall Hall Jr. joined the senior staff of the Institute in 1953. Walter took many photographs of prominent mathematicians during her summers at the Institute. These photographs are now part of the Marion Walter Collection at the
Archives of American Mathematics on the campus of the
University of Texas at Austin.
Walter took evening classes for a master's degree in mathematics at
New York University
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...
. In order to support herself during this time, she worked as a research assistant, mainly doing computing work at what became the
Courant Institute. She earned her
M.S.
A Master of Science (; abbreviated MS, M.S., MSc, M.Sc., SM, S.M., ScM or Sc.M.) is a master's degree. In contrast to the Master of Arts degree, the Master of Science degree is typically granted for studies in sciences, engineering and medicine ...
in mathematics from
New York University
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...
in 1954.
In 1954, Walter accepted a teaching assistantship in the mathematics department at
Cornell University
Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson W ...
in
Ithaca, New York
Ithaca () is a city in and the county seat of Tompkins County, New York, United States. Situated on the southern shore of Cayuga Lake in the Finger Lakes region of New York (state), New York, Ithaca is the largest community in the Ithaca metrop ...
; she remained at Cornell until 1956. In 1956, she took a one-year appointment at
Simmons College in
Boston
Boston is the capital and most populous city in the Commonwealth (U.S. state), Commonwealth of Massachusetts in the United States. The city serves as the cultural and Financial centre, financial center of New England, a region of the Northeas ...
,
Massachusetts
Massachusetts ( ; ), officially the Commonwealth of Massachusetts, is a U.S. state, state in the New England region of the Northeastern United States. It borders the Atlantic Ocean and the Gulf of Maine to its east, Connecticut and Rhode ...
; she ended up staying at Simmons for nine years. Back in 1956, the college did not have a major in mathematics or a formal math department. Walter created both the math major and the mathematics department at Simmons. She stepped down as department chair after four years, remaining there teaching until 1965 when she left to concentrate on her doctorate at
Harvard Graduate School of Education
The Harvard Graduate School of Education (HGSE) is the education school of Harvard University, a private Ivy League research university in Cambridge, Massachusetts. Founded in 1920, it was the first school to grant the EdD degree and the first ...
. She retained close relationships with her students from Simmons over the years; several of the first math majors stayed in touch with her until her death. One of those students was
Lenore Blum, who was a distinguished career professor of computer science at
Carnegie Mellon University
Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania, United States. The institution was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools. In 1912, it became the Carnegie Institu ...
.
Simmons will archive Walter's personal papers.
In 1960, during her tenure at Simmons, Walter received a fellowship to attend the
National Science Foundation
The U.S. National Science Foundation (NSF) is an Independent agencies of the United States government#Examples of independent agencies, independent agency of the Federal government of the United States, United States federal government that su ...
Summer Program at
Stanford University
Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...
in
Palo Alto
Palo Alto ( ; Spanish language, Spanish for ) is a charter city in northwestern Santa Clara County, California, United States, in the San Francisco Bay Area, named after a Sequoia sempervirens, coastal redwood tree known as El Palo Alto.
Th ...
,
California
California () is a U.S. state, state in the Western United States that lies on the West Coast of the United States, Pacific Coast. It borders Oregon to the north, Nevada and Arizona to the east, and shares Mexico–United States border, an ...
. At Stanford, she met and was taught by the mathematician George Pólya. Walter considered these summer programs to be one of the highlights of her career.
Also during her years at Simmons, Walter began working on her doctoral degree at the
Harvard Graduate School of Education
The Harvard Graduate School of Education (HGSE) is the education school of Harvard University, a private Ivy League research university in Cambridge, Massachusetts. Founded in 1920, it was the first school to grant the EdD degree and the first ...
(HGSE) in
Cambridge
Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
,
Massachusetts
Massachusetts ( ; ), officially the Commonwealth of Massachusetts, is a U.S. state, state in the New England region of the Northeastern United States. It borders the Atlantic Ocean and the Gulf of Maine to its east, Connecticut and Rhode ...
. She earned her Ed.D. in mathematics education from HGSE in 1967.
After completing her doctorate, she accepted an appointment at HGSE to teach prospective teachers of mathematics at the elementary and high school level in the Master of Arts in Teaching Program.
In 1967, Dr. Walter formed a group called the Boston Area Math Specialist (BAMS) which gives monthly workshops for practicing teachers. The members of the group share methods, techniques, new learnings and their successes.
She was a mathematics consultant to the project that became ''
Sesame Street
''Sesame Street'' is an American educational television, educational children's television series that combines live-action, sketch comedy, animation, and puppetry. It is produced by Sesame Workshop (known as the Children's Television Worksh ...
''.
The Master of Arts in Teaching Program at HGSE was terminated in 1972. Dr. Walter subsequently accepted various positions, virtually none of which she formally applied for.
During her early days at Harvard, Walter met fellow student Stephen I. Brown and began a lifetime collaboration with him. They developed a new course on problem posing over several years; their work resulted in the publication of ''The Art of Problem Posing'' in 1983. The book is now in its third edition.
Dr. Walter was actively involved in a group that was formed in
Cambridge, Massachusetts
Cambridge ( ) is a city in Middlesex County, Massachusetts, United States. It is a suburb in the Greater Boston metropolitan area, located directly across the Charles River from Boston. The city's population as of the 2020 United States census, ...
called The Philopmorphs, which met at the
Carpenter Center for the Visual Arts. The group discussed form in nature, science, and art. Walter has a long-term interest in the visual arts. In
Eugene, Oregon
Eugene ( ) is a city in and the county seat of Lane County, Oregon, United States. It is located at the southern end of the Willamette Valley, near the confluence of the McKenzie River (Oregon), McKenzie and Willamette River, Willamette rivers, ...
, she started the Philomorphs West which met for several years.
In 1977, Dr. Walter accepted a teaching position at
University of Oregon
The University of Oregon (UO, U of O or Oregon) is a Public university, public research university in Eugene, Oregon, United States. Founded in 1876, the university is organized into nine colleges and schools and offers 420 undergraduate and gra ...
in
Eugene,
Oregon
Oregon ( , ) is a U.S. state, state in the Pacific Northwest region of the United States. It is a part of the Western U.S., with the Columbia River delineating much of Oregon's northern boundary with Washington (state), Washington, while t ...
, where she remained until her retirement in 1994.
At Oregon, Walter focused on preparing prospective elementary school teachers to teach mathematics. She stressed the discovery approach and used hands-on/experiment methods. She refused to teach in a classroom with individual desks for students, but rather had tables in the classroom where students could conduct activities in groups. You can get an idea of what Dr. Walter stressed by looking at the titles of her journal publications. Many of her students from Oregon became K-12 mathematics teachers and she maintained close relationships with them.
Walter published over 40 journal articles and gave nearly 100 workshops and talks in the United States, Canada, England, Denmark, Hungary, and Israel.
Recognition
In 1993, Marion Walter's Theorem was named for her after she and a colleague discovered the result while experimenting with
Geometer's Sketchpad. The theorem states that if each side of an arbitrary triangle is trisected and lines are drawn to the opposite vertices, the area of the hexagon created in the middle is one-tenth the area of the original triangle.
In 2003, Marion Walter was nominated by BAMS and subsequently elected to the Massachusetts Hall of Fame for Mathematics Educators.
In 2010, Dr. Walter was awarded an honorary degree from Simmons and with her help and other donors the ''Marion Walter Future of Mathematics Awards at Simmons'' was created to recognize math majors who had an interest in becoming high school math teachers.
In 2015, the University of Oregon Department of Mathematics created the ''Marion Walter Future Teachers Award'', which is given annually to a graduating math major with a secondary education focus. The first award was given at the spring 2016 graduation ceremony.
Selected books
Walter wrote several children's books on using mirrors to explore symmetry, birthday books that explored particular ages, and a well-regarded book on problem posing with her long-term collaborator Stephen I. Brown.
*
* (honourable mention from the New York Academy of Science Children's Book Award Program)
*
*
* (honourable mention from the New York Academy of Science Children's Book Award Program)
*
*
**Review by Nat Bantin
**Problem posing:a review of sorts by Geneviève Barabé and Jérôme Proul
For other books by Marion Walter see her page on WorldCa
Selected journal articles
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References
External links
* Marion Ilse Walter a
MacTutor* Marion Walter Oral History a
US Holocasut Memorial Museum* Marion Walter Oral History a
Oregon Jewish Museum and Center for Holocaust Education
{{DEFAULTSORT:Walter, Marion
1928 births
2021 deaths
Kindertransport refugees
20th-century German mathematicians
Emigrants from Nazi Germany to the United States
Immigrants to the United Kingdom
German mathematics educators
American mathematics educators
Hunter College alumni
Courant Institute of Mathematical Sciences alumni
Courant Institute of Mathematical Sciences faculty
Harvard Graduate School of Education alumni
Harvard Graduate School of Education faculty
University of Oregon faculty
20th-century women mathematicians
21st-century women mathematicians
American women educators
Jewish emigrants from Nazi Germany to the United Kingdom
21st-century American women