Our website offers lots of free content that can be used for informal learning and enrichment, thinking about careers, and *recreation*. During this time of social distancing, online teaching and home schooling, we invite you to explore our online essays, sample book chapters, *Notices* issues, podcasts, videos, blogs, and more, and share them with your family, friends and colleagues. Here's a tour of just some offerings by and for our wide community across all ages, with top things to do:

is a freely downloadable book of stories about people from diverse backgrounds, who've taken diverse paths. Find inspiration, some common ground and even humor.**Living Proof: Stories of Resilience Along the Mathematical Journey****Sample AMS book chapter**: "The Firsts," about Dr. Martha Euphemia Lofton Haynes, Dr. Evelyn Boyd Granville, Dr. Marjorie Lee Browne (from*Women Who Count*, an activity book, by Shelly M. Jones)- Take a look at some
**mathematicians spotlighted in**to celebrate Black History Month (February), Women's History Month (March), and Hispanic Heritage Month (September). Explore each issue for articles by and about these diverse mathematicians.*Notices of the AMS*

**Listen to Anna Nagurney**talk about COVID-19 and its effect on supply chains.**Listen Up!**Mathematical scientists and other researchers talk about current work in areas like "Analyzing Mako Motion," "Unmasking Deepfakes," "Screening for Autism," "Scoring with New Thinking," "Countermanding Gerrymandering," "Farming Better," "Hunting for Planets," and many more audio Mathematical Moments.

- Read "CROSSWORD! (or: Diversion as a vehicle for conversation on power and usage)," by Aram Bingham, and then do his crossword puzzle, on the Graduate Student blog.
- Try
**crossword puzzles and a sudoku in**"Number One," by Byron Walden; "To the Nth Degree," by Byron Walden; "1, 1, 2, 3, 5, ...," by Ned White; "...demonstrationem mirabilem...," by Ned White; and "Lie Algebra Sudoku," by Ed Dunne.*Notices of the AMS:* - See
**videos on "Mathematics, Magic, and Mystery"**-- from magic squares and Möbius bands to magical card tricks and illusions, mysterious phenomena with elegant 'Aha! solutions.'" Mathematics Awareness Month, now Mathematics and Statistics Awareness Month, is an effort by the Joint Policy Board for Mathematics (AMS, ASA, MAA, and SIAM). The theme and materials for 2014 were chosen and created by the MAA. Explore this collection of 30 videos created by the MAA, then have fun trying some tricks and puzzles on your own! **Sample AMS book chapters**: "Recreational Mathematics," (from*Famous Puzzles of Great Mathematicians,*by Miodrag S. Petković); "Distribution Dilemmas," (from*Solve This: Math Activities for Students and Clubs*, by James Tanton); and "Dragons and Poison," (from*How Round is a Cube?*, by James Tanton).

- Hear
**Math and Music.**The notations of composers and sounds made by musicians are connected to mathematics. Listen to performances and explanations, play an instrument or sing, or compose a piece on your own or with fellow-yet-remote musicians to share online. - See stunning artworks on
**Mathematical Imagery**and try your hand at folding origami, making fractals, creating a geometric sculpture... - Enjoy and write
**Math Poetry**. Read some AMS Math Poetry Contest winners and then compose your own math limerick, sonnet, or haiku. **Download free line-drawing and curve-stitching patterns**. All you need are color pens or pencils and a ruler, or plastic needles and yarn, to make your own designs!

- Do research and teach in academia, teach in K-12 schools, work in business, industry or government (BIG) or in nonprofits, or be an entrepreneur.
**Talking BIG Jobs**. In this series of video interviews, hear what mathematicians have to say about using biomathematics in the pharmaceutical industry, statistics at Sandia National Laboratories, and mathematics to leverage predictive models to optimize technology operation and development in industry.

**Sample AMS book chapter**: "Problems for Children 5 to 15 Years Old," (from*Lectures and Problems: A Gift to Young Mathematicians,*by V.I. Arnold)- The
**AMS blog On Teaching and Learning Mathematics**has covered topics such as teaching online, advising, assessment, communication, and policy.

- See
**recent videos**on AMS YouTube with Mac Hyman and biostatisticians Laura Forsberg White and Helen Jenkins talking about modeling COVID-19. **Mathematicians shedding light on the coronavirus**. See Math in the Media for coverage in the news media and science magazines.- Each year our Office of Government Relations invites a mathematician to talk on Capitol Hill about ongoing research that's helping to solve problems. See
**Congressional Briefings and Exhibitions**on cryptography, modeling, nanomaterials, monitoring an electric power system, and more. Follow the**Capital Currents Blog**for timely information on activities in Congress that affect mathematicians and the broader science community and opportunities for engaging with Congress and other policy-makers. - Download free PDFs of
**nearly 150 Mathematical Moments**mini-posters on the role math plays in science, nature, technology, and human culture.

- Match wits with past contestants to
**see if you can answer these questions from the AMS Math Game**. Quiz yourself--and your fellow math lovers!- The three-digit prime number
*abc*is written twice to make the six-digit number*abc,abc*. How many prime factors does*abc,abc*have? - The solution set of the equation $(xy-1)(xy)(y-x-1)=0$ separates the plane into how many regions?
- Jordan ordered some pizzas and sandwiches. The price of each pizza was 50% more than the price of a sandwich. When the order arrived, the number of pizzas Jordan ordered and the number of sandwiches ordered had been switched, which increased the bill by 1/3. What is the ratio of the number of pizzas Jordan originally ordered to the number of sandwiches originally ordered?
- For a positive integer
*n*, let P(*n*) denote the product of the digits of*n*, Q(*n*) the sum of the squares of the digits of*n*, and S(*n*) the sum of the digits of*n*. For example, P(125) = 10, Q(125) = 30, and S(125) = 8. What is the sum of the two two-digit numbers M for which M = P(M) + Q(M) + S(M)? - In a row of five seats, five mathematicians arrive wearing integer-valued jersey numbers 1 to 5. How many ways can they be seated in the row so that no person is between two people (and sitting next to each) whose jersey numbers sum to their jersey number?
- What is the smallest positive integer
*n*such that 2^{2020}is a divisor (factor) of*n*! ? - Three integers
*a*,*b*, and*c*satisfy $$ i. \,0 \leq a \leq b \leq c, \textrm { and}$$ $$ ii.\, abc + ab + ac + bc + a + b + c =2019.$$ What is the smallest possible value of $a + b + c$? - See the answers. For more questions, see previous qualifying tests, and videos of previous games.

## 9. Learn about an area of math that's new to you

**Sample AMS book chapters**: "Appetizers (Before Calculus)" (from*Tactile Learning Activities Using Mathematics*, by Julie Barnes and Jessica M. Libertini); "Pascal's Triangle," (from*A Mathematical Gallery*, by Lisl Gaal); "Calculating on the Back of an Envelope," (from*Common Sense Mathematics*, by Ethan D. Bolker, Maura B. Mast); "Surprising right triangles," (from*Portal through Mathematics: Journey to Advanced Thinking*, by O. A. Ivanov); "Combinatorics," (from*Math by the Bay: Topics for Grades 1-5*, by Laura Givental, Maria Nemirovskaya, Ilya Zakharevich).- Read online
**Feature Columns**on algebra, calculus and analysis, differential equations, discrete math and combinatorics, game theory and social choice, geometry and topology, history of mathematics, linear algebra, math and nature, math and technology, math and the arts, math and the sciences, and probability and statistics. Browse by topic (see bottom right column), or start with:- "Game. SET. Polynomial." by David Austin
- "Surface Topology in Bach Canons, I: The Möbius Strip," by Tony Phillips
- "Topological Quantum Field Theory for Vampires," by Ursula Whitcher
- "Understanding What Kepler Did—Part I," by Bill Casselman
- "Mathematical Economics for Mathematics and Statistics Awareness Month," by Joe Malkevitch
- "Crochet Topology," by Moira Chas
- "Lorenz and Modular Flows: A Visual Introduction," by Étienne Ghys and Jos Leys

## 10. Find your collaboration distance and math genealogy

- What's one way to measure the connection between a researcher and other researchers and authors? If you've published a paper, try MathSciNet's
**Collaboration Distance**tool to - Check out your mathematical ancestors and see the thesis titles of over 255,000 mathematicians in the
**Mathematics Genealogy Project**database.

## 11. Catch up on

*Notices of the AMS***Early Career Collection**has advice from those who have gone through this stage of research and job-hunting, and who have done service and taught. Thanks to those mentors and others willing to share their experiences!**Reviews Collection**. Here you'll find summaries of books, plays, movies, and other artistic and cultural works involving mathematics.**Topical Columns Collection**includes Math Outside the Bubble, Short Stories, and Washington Update.

## 12. Just explore!

- The
**AMS Bookstore**includes over 3,000 books for sale on all math topics, at all levels! - Discover and comment with your own perspective on
**AMS Blogs**on advocacy, being a grad student, the blogosphere, education, being a math mama, diversity and inclusion, books, mentoring, and Math Reviews.

Find more about the AMS.

*--- from the AMS Public Awareness Office*

- The three-digit prime number