*Editors:* Amy Ackerberg-Hastings, Janet Barnett

*Associate Editors:* Paul Bialek, Eugene Boman, Maureen Carroll, Ximena Catepillan, Lawrence D'Antonio (through 1/31/20), Sloan Despeaux, Toke Knudsen, Michael Molinsky, Adrian Rice, Elyn Rykken, Randy Schwartz (through 1/31/20), Amy Shell-Gellasch, Jody Sorensen (through 1/31/20), Gary Stoudt, Erik R. Tou, Laura Turner

*Founding Editors:* Victor Katz, Frank Swetz

### Articles

A Mathematical History Tour: Reflections on a Study Abroad Program by R. Abraham Edwards and Marie Savoie

A unique study-abroad course combining the history of mathematics and travel. (posted 1/13/2020)

### Ongoing Series

A Series of Mini-projects from **TR**ansforming **I**nstruction in **U**ndergraduate **M**athematics via **P**rimary **H**istorical **S**ources, by Janet Barnett, Kathy Clark, Dominic Klyve, Jerry Lodder, Danny Otero, Nick Scoville, and Diana White

- The Derivatives of the Sine and Cosine Functions: A Mini-Primary Source Project for Calculus I, by Dominic Klyve
- Why be so Critical? Nineteenth Century Mathematics and the Origins of Analysis: A Mini-Primary Source Project for Introductory Analysis Students, by Janet Heine Barnett
- Connecting Connectedness: A Mini-Primary Source Project for Topology Students, by Nicholas A. Scoville
- Generating Pythagorean Triples: A Mini-Primary Source Project for Mathematics Majors, Elementary Teachers and Others, by Janet Heine Barnett
- Euler's Rediscovery of
*e:* A Mini-Primary Source Project for Introductory Analysis Students, by Dave Ruch
- How to Calculate \(\pi\): Machin's Inverse Tangents, A Mini-Primary Source Project for Calculus II Students, by Dominic Klyve
- Henri Lebesgue and the Development of the Integral Concept: A Mini-Primary Source Project for Undergraduate Analysis Students, by Janet Heine Barnett
- Seeing and Understanding Data: A Mini-Primary Source Project for Students of Statistics, by Charlotte Bolch and Beverly Woods
- The Origin of the Prime Number Theorem: A Primary Source Project for Number Theory Students, by Dominic Klyve
- The Cantor Set Before Cantor: A Mini-Primary Source Project for Analysis and Topology Students, by Nicholas A. Scoville
- Euler’s Calculation of the Sum of the Reciprocals of the Squares: A Mini-Primary Source Project for Calculus II Students, by Kenneth M Monks
- Completing the Square: From the Roots of Algebra, A Mini-Primary Source Project for Students of Algebra and Their Teachers, by Daniel E. Otero
- Regression to the Mean: A Mini-Primary Source Project for Statistics Students, by Dominic Klyve

Math Origins, by Erik R. Tou

How were concepts, definitions, and theorems familiar to today's students of mathematics developed over time?

Mathematical Treasures

Mathematical Treasures, by Frank J. Swetz

Index to Mathematical Treasures Collection: Images of historical texts and objects from libraries, museums, and individuals around the world for use in your classroom!

Mathematical Treasures added during 2020:

- Mathematics of Gerbert of Aurillac (12th-13th centuries)
- Manuscript illustrations of tools of measurement (15th century)
- Piero Borghi's
* Libro de Abacho* (1550)
- Adriaan Vlacq's
*Arithmetique* *Logarithmetiqu*e (1628)
- Samuel Marolois's three volumes:
*Geometria, Fortification,* and *Perspectiva *(1629)
- Bonaventura Cavalieri's
*Trigonometria Plana et Sphaerica, Linearis, & Logarithmica *(1643)
- John Wallis's
*De Sectionibus Conicis *(1655) and *Arithmetica Infinitorum* (1656)
- Jean Boulenger's
*La Geometrie Pratique *(1691, original 1624)
- Ignatius Pardies'
*Short but Plain Elements of* *Geometry and Plain Trigonometry (*1701)
- Jacques Ozanam's Trigonometry Plane and Solid (1741)
- Condorcet's books on Probability (1785, 1805)
- William Frend's Algebra and Arithmetic texts (1796, 1805 respectively)
- Colin Maclaurin's
*Treatise of Algebra *(1796, original 1748)
- Francis Maseres's
*Resolution of Cubick and* *Biquadratic Equations *(1803)
- Étienne Bézout's
*Cours de Mathématiques *(1815, original 1770-1782)
- Boole on
*Differential Equations *(1865, original 1859)
- First issue of
*Acta Mathematica* with Poincáre's *Théorie des Groupes Fuchsiens* (1882)