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Full-Text Articles in Mathematics
Finding Meaning In A Multivariable World: A Conceptual Approach To An Algebra-Based Second Course In Statistics, Karen Mcgaughey, Beth Chance, Nathan L. Tintle, Soma Roy, Todd Swanson, Jill Vander Stoep
Finding Meaning In A Multivariable World: A Conceptual Approach To An Algebra-Based Second Course In Statistics, Karen Mcgaughey, Beth Chance, Nathan L. Tintle, Soma Roy, Todd Swanson, Jill Vander Stoep
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Although the teaching of the first course in statistics has improved dramatically in recent years, there has been less focus on a similarly conceptual-based second course aimed at non-majors. We present a curriculum for the second course, designed to expand statistical literacy across disciplines, which focuses on conceptual understanding of multivariable relationships through data visualization, study design, the role of confounding variables, reduction of unexplained variation, and simulation-based inference, rather than the mathematically-based discourse often used in the second course. Our curriculum uses a student-centered pedagogical approach, utilizing guided discovery activities based on real-world case studies, facilitated by student-focused technology …
On The Fattening Of Lines In P3, Mike Janssen
On The Fattening Of Lines In P3, Mike Janssen
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We follow the lead of Bocci and Chiantini and show how differences in the invariant alpha can be used to classify certain classes of subschemes of P^3. Specifically, we will seek to classify arithmetically Cohen-Macaulay codimension 2 subschemes of P^3 in the manner Bocci and Chiantini classified points in P^2. The first section will seek to motivate our consideration of the invariant alpha by relating it to the Hilbert function and gamma, following the work of Bocci and Chiantini, and Dumnicki, et. al. The second section will contain our results classifying arithmetically Cohen-Macaulay codimension 2 subschemes of P^3. This work …
Taming The Unknown: A History Of Algebra From Antiquity To The Early Twentieth Century, Calvin Jongsma
Taming The Unknown: A History Of Algebra From Antiquity To The Early Twentieth Century, Calvin Jongsma
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Reviewed Title: Katz, Victor J. and Karen Hunger Parshall. Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century. Princeton, NJ: Princeton University Press, 2014. 485 pages. ISBN 9780691149059
Al-Khwarizmi: Founder Of Classical Algebra, Calvin Jongsma
Al-Khwarizmi: Founder Of Classical Algebra, Calvin Jongsma
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Adopting a historically defensible definition of “algebra,” we will begin by exploring a few examples of algebra prior to al-Khwarizmi. We will then examine what algebra became through al-Khwarizmi’s work. In conclusion, we will assess the historical importance of al-Khwarizmi’s contributions for developments in European algebra.
Much More Than Symbolics: The Early History Of Algebra And Its Significance For Introductory Algebra Education, Calvin Jongsma
Much More Than Symbolics: The Early History Of Algebra And Its Significance For Introductory Algebra Education, Calvin Jongsma
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No abstract provided.
Boole's Algebra Isn't Boolean Algebra (Article Review), Calvin Jongsma, John Corcoran
Boole's Algebra Isn't Boolean Algebra (Article Review), Calvin Jongsma, John Corcoran
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Reviewed Title: Boole's Algebra Isn't Boolean Algebra by Theodore Hailperin. Mathematics Magazine, v. 54:4, pp. 172-184. ISSN: 0025-570X
Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma
Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma
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No abstract provided.