Using Technology to Optimize and Generalize: The Least-Squares Line

With the help of technology and a basic high school algebra method for finding the vertex of a quadratic polynomial, students can develop and prove the formula for least-squares lines. Students are exposed to the power of a computer algebra system to generalize processes they understand and to see d...

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Bibliographic Details
Published inThe Mathematics teacher Vol. 101; no. 2; pp. 102 - 107
Main Authors Burke, Maurice J, Hodgson, Ted R
Format Journal Article
LanguageEnglish
Published National Council of Teachers of Mathematics 01.09.2007
Subjects
Algebra
Computer Assisted Instruction
Generalization
High School Students
Least Squares Statistics
Mathematical Formulas
Mathematical Logic
Secondary School Mathematics
Teaching Methods
Validity
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Summary:With the help of technology and a basic high school algebra method for finding the vertex of a quadratic polynomial, students can develop and prove the formula for least-squares lines. Students are exposed to the power of a computer algebra system to generalize processes they understand and to see deeper patterns in those processes. (Contains 4 figures.)
ISSN:0025-5769
DOI:10.5951/MT.101.2.0102