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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 research university in Eugene, Oregon. Founded in 1876, the institution is well known for its strong ties to the sports apparel and marketing firm Nike, Inc, and its co-founder, billion ...
in
Eugene, Oregon Eugene ( ) is a city in the U.S. state of Oregon. It is located at the southern end of the Willamette Valley, near the confluence of the McKenzie and Willamette rivers, about east of the Oregon Coast. As of the 2020 United States Census, Eu ...
. 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 Blaustein () is a town in the district of Alb-Donau Baden-Württemberg in Germany. It is situated on the Blau River, 6 km west of Ulm and has about 15,000 inhabitants. Before 1968, Blaustein was known as Herrlingen. It was created in 19 ...
, a suburb of
Ulm Ulm () is a city in the German state of Baden-Württemberg, situated on the river Danube on the border with Bavaria. The city, which has an estimated population of more than 126,000 (2018), forms an urban district of its own (german: link=no, ...
. 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 (but not their parents) from Nazi-controlled territory that took place during the nine months prior to the outbreak of the Second World ...
'' 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. Eastbourne is immediately east of Beachy Head, the highest chalk sea cliff in Great Britain and part of the la ...
, 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 (; alternatively Salop; abbreviated in print only as Shrops; demonym Salopian ) is a landlocked historic county in the West Midlands region of England. It is bordered by Wales to the west and the English counties of Cheshire to th ...
, 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 Combermere Abbey is a former monastery, later a country house, near Burleydam, between Nantwich, Cheshire and Whitchurch in Shropshire, England, located within Cheshire and near the border with Shropshire. Initially Savigniac and later Cisterci ...
in
Cheshire Cheshire ( ) is a ceremonial and historic county in North West England, bordered by Wales to the west, Merseyside and Greater Manchester to the north, Derbyshire to the east, and Staffordshire and Shropshire to the south. Cheshire's county t ...
, 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. 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. It also admi ...
, majoring in mathematics and minoring in education, graduating with a
B.A. Bachelor of arts (BA or AB; from the Latin ', ', or ') is a bachelor's degree awarded for an undergraduate program in the arts, or, in some cases, other disciplines. A Bachelor of Arts degree course is generally completed in three or four yea ...
in 1950. Ellen Walter returned to England to get married. After graduating from Hunter, Walter taught at
Hunter College High School Hunter College High School is a secondary school located in the Carnegie Hill neighborhood on the Upper East Side of Manhattan. It is administered by Hunter College of the City University of New York (CUNY). Hunter is publicly funded, and there i ...
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 sci ...
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. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California St ...
. 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 sci ...
and funded by the
Office of Naval Research The Office of Naval Research (ONR) is an organization within the United States Department of the Navy responsible for the science and technology programs of the U.S. Navy and Marine Corps. Established by Congress in 1946, its mission is to plan ...
, 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 Mark Kac ( ; Polish: ''Marek Kac''; August 3, 1914 – October 26, 1984) was a Polish American mathematician. His main interest was probability theory. His question, " Can one hear the shape of a drum?" set off research into spectral theory, the ...
,
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 Andr ...
, and A Adrian Albert. During the second summer at the institute, she met
Olga Taussky-Todd Olga Taussky-Todd (August 30, 1906, Olomouc, Austria-Hungary (present-day Olomouc, Czech Republic) – October 7, 1995, Pasadena, California) was an Austrian and later Czech-American mathematician. She published more than 300 research papers on ...
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 research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the ...
. In order to support herself during this time, she worked as a research assistant, mainly doing computing work at what became the
Courant Institute The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...
. She earned her
M.S. A Master of Science ( la, Magisterii Scientiae; abbreviated MS, M.S., MSc, M.Sc., SM, S.M., ScM or Sc.M.) is a master's degree in the field of science awarded by universities in many countries or a person holding such a degree. In contrast to ...
in mathematics from
New York University New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the ...
in 1954. In 1954, Walter accepted a teaching assistantship in the mathematics department at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...
in
Ithaca, New York Ithaca is a city in the Finger Lakes region of New York, United States. Situated on the southern shore of Cayuga Lake, Ithaca is the seat of Tompkins County and the largest community in the Ithaca metropolitan statistical area. It is named a ...
; she remained at Cornell until 1956. In 1956, she took a one-year appointment at
Simmons College Institutions of learning called Simmons College or Simmons University include: * Simmons University, a women's liberal arts college in Boston, Massachusetts * Simmons College of Kentucky, a historically black college in Louisville, Kentucky * Har ...
in
Boston Boston (), officially the City of Boston, is the state capital and most populous city of the Commonwealth of Massachusetts, as well as the cultural and financial center of the New England region of the United States. It is the 24th- mo ...
,
Massachusetts Massachusetts (Massachusett language, Massachusett: ''Muhsachuweesut assachusett writing systems, məhswatʃəwiːsət'' English: , ), officially the Commonwealth of Massachusetts, is the most populous U.S. state, state in the New England ...
; 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. 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 Lenore Carol Blum (née Epstein, born December 18, 1942) is an American computer scientist and mathematician who has made pioneering contributions to the theories of real number computation, cryptography, and pseudorandom number generation. She ...
, 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. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology ...
. 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 National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National I ...
Summer Program at
Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
in
Palo Alto Palo Alto (; Spanish for "tall stick") is a charter city in the northwestern corner of Santa Clara County, California, United States, in the San Francisco Bay Area, named after a coastal redwood tree known as El Palo Alto. The city was estab ...
,
California California is a U.S. state, state in the Western United States, located along the West Coast of the United States, Pacific Coast. With nearly 39.2million residents across a total area of approximately , it is the List of states and territori ...
. 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 (HGSE) in
Cambridge Cambridge ( ) is a university city and the county town in Cambridgeshire, England. It is located on the River Cam approximately north of London. As of the 2021 United Kingdom census, the population of Cambridge was 145,700. Cambridge bec ...
,
Massachusetts Massachusetts (Massachusett language, Massachusett: ''Muhsachuweesut assachusett writing systems, məhswatʃəwiːsət'' English: , ), officially the Commonwealth of Massachusetts, is the most populous U.S. state, state in the New England ...
. 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 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 Workshop until June 2000) a ...
''. 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. As part of the Boston metropolitan area, the cities population of the 2020 U.S. census was 118,403, making it the fourth most populous city in the state, behind Boston, ...
called The Philopmorphs, which met at the
Carpenter Center for the Visual Arts The Carpenter Center for the Visual Arts at Harvard University, in Cambridge, Massachusetts is the only building designed primarily by Le Corbusier in the United States—he contributed to the design of the United Nations Secretariat Building—an ...
. 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 the U.S. state of Oregon. It is located at the southern end of the Willamette Valley, near the confluence of the McKenzie and Willamette rivers, about east of the Oregon Coast. As of the 2020 United States Census, Eu ...
, 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 research university in Eugene, Oregon. Founded in 1876, the institution is well known for its strong ties to the sports apparel and marketing firm Nike, Inc, and its co-founder, billion ...
in Eugene,
Oregon Oregon () is a U.S. state, state in the Pacific Northwest region of the Western United States. The Columbia River delineates much of Oregon's northern boundary with Washington (state), Washington, while the Snake River delineates much of it ...
, 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

* * * * * * * *


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 German emigrants to the United States Mathematics educators Hunter College alumni New York University 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