Question: Was the school Nancy Winstel coached at from 1983 through 2012 a public or private school?

Context paragraphs:
Ichikawa Gakuen: Ichikawa Junior and Senior High School (市川中学校・高等学校 , Ichikawa Gakuen ) is a large (2500 students) private school in Moto-kita-kata (本北方), Ichikawa, Chiba, Japan.  The school is sometimes mistaken for a public school due to its name: "Ichikawa Junior High School", "Ichikawa High School" or "Ichikawa" for short.  The private school is managed by the Ichikawa Gakuen School Corporation.

Northern Kentucky University: Northern Kentucky University is a public, co-educational university in northern Kentucky located in Highland Heights, seven miles (11 km) southeast of downtown Cincinnati, Ohio.  The university is primarily an undergraduate, liberal arts institution, but it also features graduate programs.  Total enrollment at the university currently exceeds 15,000 students, with over 13,000 undergraduate students and over 2,000 graduate students served by nearly 2600 faculty and staff.  Northern Kentucky University is the third largest university, behind the University of Cincinnati and Miami University, but before Xavier University, of Greater Cincinnati's four large, four-year universities and the youngest of Kentucky's eight state universities, although it is not the last to join the state system, as the University of Louisville did not become a state university until 1970.

Makuhari International School: Makuhari International School (幕張インターナショナルスクール ) is a private international school located in Wakaba, Mihama-ku, Chiba in Chiba Prefecture, Japan, accepting children from age 3 to 12 in grades K-6.  The school caters primarily to Japanese returnee, dual nationality and foreign children moving to this part of Japan.  It is the first international primary school in Japan to be recognized as a school under Article 1 of the School Education Law.  As a school based on Article 1, the school is eligible for assistance under the Private School Law and the Private School Promotion Assistance Law.  The school basically follows the Japanese curriculum, but all courses are completely taught in English except for Japanese language and culture subjects.  Other content and objectives have been added from other curricula mainly from the United Kingdom.

Lincoln Jr. High School (Trabuco Canyon): Lincoln Jr.  High School is an intermediate school located on Jasper Hill in Trabuco Canyon, California, United States.  It has over 500 students from grades 7 to 8.  It was founded in 1994 as a private school by a group of retired teachers.  Lincoln Jr.  High was named after the 16th president of the United States, Abraham Lincoln.  This private junior high school is located nearly a half mile away from a public school named Portola Hills Elementary, which is located in the Saddleback Valley Unified School District.  Lincoln Jr.  High is a top-ranked private school with an average grade point average of 3.25.

Delhi Private School, Sharjah: Delhi Private School, Sharjah (DPS, Sharjah), (in Arabic: مدرسة دلهي الخاصة ، الشارقة) is a for-profit private senior secondary school in Sharjah, UAE.  The school was established in 2000 and is located in the school zone, in Sharjah industrial area No .16 Affiliated to CBSE New Delhi, it is the first school in the UAE to have branched out from its parent institute, Delhi Public School, New Delhi and runs under the aegis of Delhi Public School Society which now also operates Delhi Private School, Dubai.

Otto-Hahn-Gymnasium: Europaschule Otto-Hahn-Gymnasium is a "Gymnasium" (high school) in Gifhorn, Lower Saxony, Germany.  It is the first Gymnasium in Gifhorn and was founded in 1950 as a private school named "Höhere Privatschule Gifhorn" ("Higher Private School Gifhorn").  Easter 1954, the school became a public school.  In 1969 the school was renamed in its today's name "Otto-Hahn-Gymnasium".  As of 2005 it had 1,456 students and about 115 teachers and student teachers.

Mathematics education in New York: Mathematics education in New York in regard to both content and teaching method can vary depending on the type of school a person attends.  Private school math education varies between schools whereas New York has statewide public school requirements where standardized tests are used to determine if the teaching method and educator are effective in transmitting content to the students.  While an individual private school can choose the content and educational method to use, New York State mandates content and methods statewide.  Some public schools have and continue to use established methods, such as Montessori for teaching such required content.  New York State has used various foci of content and methods of teaching math including New Math (1960s), 'back to the basics' (1970s), Whole Math (1990s), Integrated Math, and Everyday Mathematics.

Nancy Winstel: Nancy H. Winstel (born December 10, 1953) was the head women's basketball coach at Northern Kentucky University from 1983 through 2012.

Dade Christian School: Dade Christian School is a private school (kindergarten-twelfth grade) located in Country Club, Florida and operated by New Testament Baptist Church.  DCS has a 2012-2013 enrollment of 771.  In 2008, it was the second largest private school in Miami-Dade.  The school was named a Blue Ribbon School in 1984.  Its sister school is The Master's Academy in Broward which is a K-8 school with a 2009-2010 enrollment of 305.  It was founded as a segregation academy in response to the court ordered desegregation of Miami-Dade public schools.

Beijing Huijia Private School: Beijing Huijia Private School () is a private school in Changping District, Beijing, China.  It serves primary school to senior high school and uses International Baccalaureate.  As of 2010 it was the only Beijing private school serving Mainland Chinese students which offered IB.  As of that year Zhao Wenxiu was the executive principal.  In a 2016 ranking of Chinese high schools that send students to study in American universities, Beijing Huijia Private School ranked number 11 in mainland China in terms of the number of students entering top American universities.

Supporting paragraphs: Nancy Winstel Northern Kentucky University
Answer: public