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

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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Veröffentlicht in:The Mathematics teacher 2007-09, Vol.101 (2), p.102-107
Hauptverfasser: Burke, Maurice J., Hodgson, Ted R.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Calculators
Centroids
Computer Assisted Instruction
Data lines
Datasets
Fall lines
Generalization
High School Students
Least Squares Statistics
Mathematical Formulas
Mathematical Logic
Mathematics education
Mathematics teachers
Optimization
Secondary School Mathematics
Secondary school students
Teaching Methods
Technology
Validity
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Beschreibung
Zusammenfassung: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
2330-0582
DOI:10.5951/MT.101.2.0102