Welcome to
ARThematics Plus:

Integrated Projects in
Math, Art and Beyond

by Stefanie Mandelbaum and Jacqueline S. Guttman

The book can be ordered from any online bookstore.

 

What is ARThematics?


ARThematics = art that uses mathematical concepts. For over 10 years, Stefanie Mandelbaum has been developing and teaching numerous ARThematics workshops for students and teachers in the New York tri-state area. Stefanie, holder of both an MFA in sculpture and an MAT in math education, has had remarkably successful results in utilizing art projects to reinforce mathematical concepts.


ARThematics Plus extends the original math/art concept to incorporate language arts, world cultures, music, dance, architecture, science and even culinary arts into the teaching of mathematics. Many of these “tangents” were developed by Jacqueline Guttman, an arts-in-education consultant who has written numerous curriculum guides that supplement in-school arts residency programs.


ARThematics Plus: Integrated Projects in Math, Art and Beyond
was published in 2003. It is a resource book for teachers in grades 4-6 but many of the lessons and ideas can be tailored for older or younger grades, as Stefanie herself has done. ARThematics Plus is divided into two major sections – Shapes, Symbols and Symmetry and Pondering Proportions. Explicit math/art lesson plans introduce and reinforce such topics as addition, subtraction, multiplication and division; fractions; least common denominator; decimals, percents and ratios; rational and irrational numbers; plane and solid geometry; symmetry and asymmetry; prime and composite numbers; polygons and tessellations; direct and inverse proportions; Fibonacci numbers; the Golden Mean.

Each chapter contains an overview, a math-art activity, and follow-up “tangents” incorporating other subject areas. Glossaries, black-line masters of Stefanie Mandelbaum’s original illustrations, and lists of additional resources and websites are also included. Designed to help teachers comply with  NCTM Standards, the lessons engage students by demonstrating the use of fundamental mathematical concepts in the creation of works of art. While the primary goal is to reinforce these concepts, we hope as well that the activities will enable students to understand the relationships between math, art and the larger universe.

<>Positive responses to ARThematics Plus:

"I found the ideas in this book intriguing [and] very interesting...I recommend this book because it will spur creative mathematical thinking."
Susan Vohrer, educator with the Baltimore County Public Schools, March 2004 issue of "Teaching Children Mathematics" (journal of the National Council of Teachers of Mathematics)

"Wow! I love your website, and I love your concept of ARThematics.  I instantly connected with it."  Janice Arrowsmith, teacher and author.

"My seventh grade students enjoyed the lessons.  They completed them at the beginning of the school year, and many of them recalled the mathematics concepts covered and discussed concepts taught by their sixth grade art teacher as well.  I would recommend this book to teachers in self-contained classrooms.  Middle school mathematics or art teachers also could use the book to help their students become more comfortable with the two subjects while seeing their connections to real life.  The glossary at the end of each lesson is an excellent list of art and mathematical terms to aid the teacher."  Nadine Priest,
mathematics teacher, Scott Middle School, Ft. Knox, Ky, March 2004 issue of "Mathematics Teaching in the Middle School" (journal of the National Council of Teachers of Mathematics)

"....I had a chance to use your ideas and the hands-on activity with a group of children.  We talked about the quilts and examples of symmetry.  We shared how a quilt was a story of oneself/hopes/dreams, similar to a mandala.  I asked them to create a picture that told of their likes/dreams....They had a great time creating it and finding any symmetry."  Lorraine Kennedy, education director, Noyes Museum (a branch of the New Jersey State Museum)

To get a taste of some of the lessons, click on any chapter.

2-D in a 3-D Universe

Mystical Mandalas

Kitchen Floors and the Alhambra Palace

Collages and Composites

The Golden Mean

Pythagorean Ratios in Art and Music

Figurative Fractions

Workshops

About the Authors

Contact Us

Links