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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Developing Auxiliary Resource Materials To Support The Engageny Geometry Curriculum, Joanne Griffin
Developing Auxiliary Resource Materials To Support The Engageny Geometry Curriculum, Joanne Griffin
LSU Master's Theses
With the advent of current education reform, and the introduction of the Common Core State Standards for Mathematics, the present offerings of the geometry curriculum have become dated. One contribution to remedy this situation is a project by the state of New York called EngageNY. EngageNY is a common core aligned mathematics curriculum across all grades. The EngageNY Geometry Curriculum Module 1 is the basis from which this thesis was developed. It is the purpose of this thesis to present a supplement to the EngageNY Geometry Module 1 Curriculum and to describe why it is advantageous to have such a …
Modern Interpretation Of Euclid's Theory Of Ratio And Proportion, Mark Robert Stecher
Modern Interpretation Of Euclid's Theory Of Ratio And Proportion, Mark Robert Stecher
LSU Master's Theses
Euclid’s Elements is the foundation for geometry. Book V of Euclid’s Elements, which is independent from the earlier books, focuses on multiples, ratios, and proportions. This paper presents a model of the conceptual content of Book V, but using carefully selected modern notation to represent Euclid’s ideas without changing them drastically. All of the propositions and proofs from Euclid have been restated using just enough modern language to make clear for a modern reader. We also present a modern theory that bears analogy, proposition by proposition, to Euclid’s theory, but uses rigorous modern methods of proof.