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You searched for `+publisher:"University of Arizona" +contributor:("Stevenson, Frederick W.")`

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University of Arizona

1. Ke, Wen-Fong. Structures of circular planar nearrings .

Degree: 1992, University of Arizona

URL: http://hdl.handle.net/10150/185884

The family of planar nearrings enjoys quite a few geometric and combinatoric properties. Circular planar nearrings are members of this family which have the character of circles of the complex plane. On the other hand, they also have some properties which one may not find among the circles of the complex plane. In this dissertation, we first review the definition and characterization of a planar nearring, and some various ways of constructing planar nearrings, as well as various ways of constructing BIBD's from a planar nearring. Circularity of a planar nearring is then introduced, and examples of circularity planar nearrings are given. Then, some nonisomorphic BIBD's arising from the same additive group of a planar nearring are examined. To provide examples of nonabelian planar nearrings, the structures of Frobenius groups with kernel of order 64 are completely determined and described. On the other hand, examples of Ferrero pairs (N, Φ)'s with nonabelian Φ, which produce circular planar nearrings, are provided. Finally, we study the structures of circular planar nearrings generated from the finite prime fields from geometric and combinatoric points of view. This study is then carried back to the complex plane. In turn, it gives a good reason for calling a block from a circular planar nearring a "circle."
*Advisors/Committee Members: Clay, James R (advisor), Gay, David A. (committeemember), Stevenson, Frederick W. (committeemember).*

Subjects/Keywords: Rings (Algebra); Near-rings.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Ke, W. (1992). Structures of circular planar nearrings . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/185884

Chicago Manual of Style (16^{th} Edition):

Ke, Wen-Fong. “Structures of circular planar nearrings .” 1992. Doctoral Dissertation, University of Arizona. Accessed January 16, 2021. http://hdl.handle.net/10150/185884.

MLA Handbook (7^{th} Edition):

Ke, Wen-Fong. “Structures of circular planar nearrings .” 1992. Web. 16 Jan 2021.

Vancouver:

Ke W. Structures of circular planar nearrings . [Internet] [Doctoral dissertation]. University of Arizona; 1992. [cited 2021 Jan 16]. Available from: http://hdl.handle.net/10150/185884.

Council of Science Editors:

Ke W. Structures of circular planar nearrings . [Doctoral Dissertation]. University of Arizona; 1992. Available from: http://hdl.handle.net/10150/185884

University of Arizona

2. ALBERDING, ARTHUR PAUL. MATHEMATICS LEARNING CENTERS IN TWO-YEAR COLLEGES.

Degree: 1983, University of Arizona

URL: http://hdl.handle.net/10150/185892

The purpose of this study was to ascertain those services and resources generally considered to be the essential parts of a mathematics learning center for students in two-year colleges by determining perceptions held by mathematics students and instructors toward these services and resources. A questionnaire sent to the mathematics department chairperson in all two-year colleges revealed 25 colleges had comprehensive mathematics learning centers (offer tutoring, testing, calculators, counseling, computer terminals, reference books, and filmstrips/slides/tapes services). Questionnaires for algebra students and their instructors were then sent to the names supplied by 19 colleges with comprehensive mathematics learning centers. Of the 837 student respondents, 38% indicated they had used the center. The most number of students had used the tutoring service. Each service was rated for the student feelings about the amount of time they used it and the help they received for satisfying their mathematical needs. The students ranked tutoring, testing, calculators, counseling, reference books, computer terminals, and filmstrips/slides/tapes services from highest to lowest respectively, for helpfulness in learning mathematics. Students gave various reasons for not using the center with 48% of the nonusers stating they knew about it but did not need to use it. The nonusers also checked the services they assumed would be of worth to them in their study of mathematics. All student responses were compared by age, college load, and outside job hours groups. Of the 33 instructor respondents, 94% recommended the tutoring service to students. The instructors rated the services for their feelings about the amount of input into each service and the support they received from each service in teaching algebra. Many instructors felt they had no input. They ranked the services for overall support provided in teaching algebra. Guidelines were formulated for the development of a college mathematics learning center. Based on this study, the conclusions were: (1) Tutoring is the most essential service. (2) Testing and calculators are very essential services. (3) The other services were less essential with computer terminals next to lowest and filmstrips/slides/tapes lowest. (4) Filmstrips/slides/tapes were more essential to instructors than to students.
*Advisors/Committee Members: Letson, Robert J (advisor), Barnes, William D. (committeemember), Clark, Donald C. (committeemember), Steinbrenner, Arthur H. (committeemember), Stevenson, Frederick W. (committeemember).*

Subjects/Keywords: Mathematics laboratories – United States.; Mathematics – Study and teaching (Higher)

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

ALBERDING, A. P. (1983). MATHEMATICS LEARNING CENTERS IN TWO-YEAR COLLEGES. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/185892

Chicago Manual of Style (16^{th} Edition):

ALBERDING, ARTHUR PAUL. “MATHEMATICS LEARNING CENTERS IN TWO-YEAR COLLEGES. ” 1983. Doctoral Dissertation, University of Arizona. Accessed January 16, 2021. http://hdl.handle.net/10150/185892.

MLA Handbook (7^{th} Edition):

ALBERDING, ARTHUR PAUL. “MATHEMATICS LEARNING CENTERS IN TWO-YEAR COLLEGES. ” 1983. Web. 16 Jan 2021.

Vancouver:

ALBERDING AP. MATHEMATICS LEARNING CENTERS IN TWO-YEAR COLLEGES. [Internet] [Doctoral dissertation]. University of Arizona; 1983. [cited 2021 Jan 16]. Available from: http://hdl.handle.net/10150/185892.

Council of Science Editors:

ALBERDING AP. MATHEMATICS LEARNING CENTERS IN TWO-YEAR COLLEGES. [Doctoral Dissertation]. University of Arizona; 1983. Available from: http://hdl.handle.net/10150/185892