Dear all,
Just a quick reminder that TRIUMPHS is accepting Fall 2019 site testing applications through Monday, June 17.
Additional information about available Primary Source Projects (PSPs) and site tester stipends appears below our signature.
To apply, simply submit the form at https://forms.gle/N9WFFfc1MuSgAwos5 .
Questions can be directed to janet....@csupueblo.edu .
We hope that you and your students will take part in this stimulating and rewarding approach to teaching and learning mathematics this coming fall!
The TRIUMPHS PI Team
Janet Barnett , Kathy Clark , Dominic Klyve , Jerry Lodder , Danny Otero , Nick Scoville , Diana White
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TRansforming Instruction in Undergraduate Mathematics via Primary Historical Sources (TRIUMPHS), a NSF-funded effort dedicated to teaching mathematics from primary historical sources, is now entering its fifth year. We are pleased to see our growing collection of student-ready Primary Source Projects (PSPs) reaching more and more students, and we hope you will consider trying at least one in your own classroom!
Applicants who are invited to formally site test a project and who complete the required data collection surveys and Implementation Report will receive a $200 stipend. Some site testers will be chosen for student data collection as well. If you are one of these, you will receive a $500 stipend. We are especially eager to find site testers for the projects that are featured at the end of this e-mail!!
For the complete list of 31 full-length PSPs and 25 shorter “mini-PSPs” available for site testing, visit:
http://webpages.ursinus.edu/nscoville/TRIUMPHS%20Available%20PSPs%20(Spring%202019).pdf
Brief project descriptions and links to completed PSPs can be found at http://webpages.ursinus.edu/nscoville/(Numbered)%20IUSE%20Project%20Descriptions.pdf.
The Notes to Instructors section of each PSP includes further information about its goals and design.
Our website (https://blogs.ursinus.edu/triumphs/ ) includes additional information and instructor resources, including webinar recordings for select PSPS (https://blogs.ursinus.edu/triumphs/webinars/) .
Fall 2019 Featured PSPs
The following list highlights PSPs for which we are especially interested in finding site testers.
Italicized PSPs are new to the TRIUMPHS collection.
"F" denotes a full-length PSP; "M" denotes a mini-PSP.
For the complete list of PSPs available for site testing, in courses ranging from pre-calculus to topology, visit
http://webpages.ursinus.edu/nscoville/TRIUMPHS%20Available%20PSPs%20(Spring%202019).pdf
Many PSPs are also suitable for use in HoM and Secondary Education Capstone Courses.
Statistics
M 02. Regression to the Mean
M 27. Seeing and Understanding Data - also suitable for General Education courses
Pre-Calculus
F 33. Completing the Square: From the Beginning of Algebra
M 10. How to Calculate π: Buffon’s Needle- also available in a “Calculus 2” version
Calculus 1
M 04. Beyond Riemann Sums
M 30. Fermat's Method for Finding Maxima and Minima
Calculus 2
M 09. How to Calculate π: Machin’s Inverse Tangents
M 14. Gaussian Guesswork: Polar Coordinates, Arc Length and the Lemniscate Curve
M 28. Euler’s Calculation of the Sum of the Reciprocals of Squares
Calculus 3
F 29. Radius of Curvature According to Christiaan Huygens (vector calculus)
M 29. Braess’ Paradox in City Planning: An Application of Multivariable Optimization
Geometry
F 32. A Look at Desargues’ Theorem from Dual Perspectives
Introduction to Proof
F 11. Greatest Common Divisor: Algorithm and Proof - also suitable for Number Theory and Abstract Algebra
Number Theory
F 09. Primes, Divisibility & Factoring
F 10. The Pell Equation in Indian Mathematics
F 26. Gaussian Integers and Dedekind Ideals: A Number Theory Project
M 05. The Origin of the Prime Number Theorem
Linear Algebra
F 02. Determining the Determinant
F 03. Solving a System of Linear Equations Using Elimination
Abstract Algebra
F 08. Dedekind and the Creation of Ideals
F 27. Otto Hölder’s Formal Christening of the Quotient Group Concept
F 28. Roots of Early Group Theory in the Works of Lagrange
Real Analysis
F 23. The Mean Value Theorem
F 24. Abel and Cauchy on a Rigorous Approach to Infinite Series
F 25. The Definite Integrals of Cauchy and Riemann
M 18. Topology from Analysis: Making the Connection - also suitable for topology
M 20. The Cantor Set before Cantor - also suitable for topology
Topology (See also the six available mini-PSPs for topology!)
F 16. Nearness without Distance
F 17. Connectedness: Its Evolution and Applications
Complex Analysis
F 15. An Introduction to Algebra and Geometry in the Complex Plane
F 34. Argand’s Development of the Complex Plane
M 16. The logarithm of –1
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