A two-day lesson on taxicab geometry introduces high school students to a unit on proof.

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### Derek A. Williams, Kelly Fulton, Travis Silver, and Alec Nehring

### Amanda Milewski and Daniel Frohardt

Few high school students associate mathematics with playfulness. In this paper, we offer a series of lessons focused on the underlying algebraic structures of the Rubik's Cube. The Rubik's Cube offers students an interesting space to enjoy the playful side of mathematics, while appreciating mathematics otherwise lost in routine experiences.

May 2020 For the Love of Mathematics Jokes

### Anne Quinn

The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.

When visitors enter the High Museum in Atlanta, one of the first pieces of art they encounter is Physic Garden, by Molly Hatch (details in **photographs 1 and 2**). Physic Garden consists of 456 handpainted dinner plates arranged to form a rectangle with 24 horizontal rows and 19 vertical columns and extends from the floor to the ceiling of the first floor. The design of the “plate painting” was inspired by two mid-18th-century English ceramic plates from the museum's collection (**photograph 3**).

### Eric L. McDowell

Enhance students' number sense and illustrate some surprising properties of this alternative operation.

### Roger Turton

Reinforce the difference between inductive and deductive reasoning using a small number of points around a circle.

### Julia Viro

Proofs of impossibility—very important in the history of mathematics—can provide additional opportunities for the development of reasoning, as recommended by the Common Core State Standards.

### Eric Weber, Amy Ellis, Torrey Kulow, and Zekiye Ozgur

Modeling the motion of a speeding car or the growth of a Jactus plant, teachers can use six practical tips to help students develop quantitative reasoning.