**ERIC Number:**ED035574

**Record Type:**RIE

**Publication Date:**1969-Aug

**Pages:**59

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

An Analysis of Certain Aspects of Approximation Theory as Related to Mathematical Instruction in Algebra. Final Report.

Dixon, Lyle J.

This study is concerned with certain aspects of approximation theory which can be introduced into the mathematics curriculum at the secondary school level. The investigation examines existing literature in mathematics which relates to this subject in an effort to determine what is available in the way of mathematical concepts pertinent to this study. As a result of the literature review the material collected has been arranged in a structured mathematical form and existing mathematical theory has been extended to make the material useful to instructional problems in high school algebra. The results of the study are found in the expository material which comprises the major portion of this report. This material contains ideas of approximation theory which relate to elementary algebra. Also, included is a collection of references for this material. The report concludes that certain techniques of approximating a root of a polynomial by finding roots of a derived polynomial can be presented in a manner which is suitable for courses in elementary algebra. (FL)

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**Office of Education (DHEW), Washington, DC. Bureau of Research.

**Authoring Institution:**Kansas State Univ., Manhattan.