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Mathematical Modeling Handbook

The Mathematical Modeling Handbook is intended to support the implementation of the Common Core State Standards high school Mathematics Modeling conceptual category. The CCSS document provides a brief description of mathematical modeling accompanied by 22 star symbols (*) designating modeling standards and standard clusters. The CCSS approach is to interpret modeling “not as a collection of isolated topics but in relation to other standards.”

The goal of this Handbook is to aid teachers in implementing the CCSS approach by helping students to develop a modeling disposition, that is, to encourage recognition of mathematical opportunities in everyday events. The Handbook provides lessons and teachers’ notes for thirty modeling topics together with reference to specific CCSS starred standards for which the topics may be appropriate.  Learn More

Mathematical Modeling Handbook II: The Assessments (DRAFT)

Mathematical Handbook II: The Assessments - What does it mean to be able to mathematically model successfully? Modeling has several aspects as we know from the structure of the modeling cycle. Moreover, performance-based assessments are difficult to construct and difficult to grade. This second Handbook represents our attempt to provide several alternate assessment modes for each of the original modules in Handbook I. It is a work in progress. We are presenting it here for your use, even in this draft form, because we know that there are many workshops in progress where it may be useful. Please check in for future refinement of these materials.  Learn More

The Elementary Mathematician, COMAP's award-winning K-6 newsletter is available for the first time in electronic format. Each issue contains a collection of K-6 mathematic lessons that are fun to teach and exciting to learn.

Each issue contains a Pull-Out section which includes thematic lessons based on the national census, wildlife, other cultures, technology, and provides a practical way to bring the concepts and pedagogy of the NCTM Standards into your classroom.

Mathematics as a Second Language Glossary

The Mathematics as a Second Language Glossary features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings.

The terms are in alphabetical order by the English word. A separate cross-reference of Spanish words only appears in the Index beginning on page 99. The terms used range from those appearing in the elementary school mathematics curriculum to the secondary school mathematics curriculum.

Mathematics as a Second Language Interactive Audio Glossary

COMAP introduces an indispensable tool for teachers with Spanish speaking students!
This interactive CD-ROM features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings. Over 300 mathematical terms clearly defined and pronounced in English and Spanish at the click of your mouse. Terms defined range from the elementary to the secondary school mathematics curriculum.  Learn More

ResourceMAP Sample

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module�s underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters. Visit the ResourceMAP Web page

TechMAP is a new NSF-funded project that has developed high school modules in technical applications of mathematics. Each module is designed to be completed in 1–3 weeks. A list of currently available modules and a short description of each can be viewed on the TechMAP Web page.

Math Trails
A mathematics trail is a walk to discover mathematics. A math trail can be almost anywhere—a neighborhood, a business district or shopping mall, a park, a zoo, a library, even a government building. The math trail map or guide points to places where walkers formulate, discuss, and solve interesting mathematical problems. Anyone can walk a math trail alone, with the family, or with another group. Walkers cooperate along the trail as they talk about the problems. There’s no competition or grading. At the end of the math trail they have the pleasure of having walked the trail and of having done some interesting mathematics. Everyone, no matter what age, gets an “I Walked the Math Trail” button to wear. Read more about this product here.

Consortium, published twice a year and available electronically with COMAP membership, blends contemporary teaching activities with commentaries, articles and contests, to bring the excitement of mathematical modeling to high school classrooms. Each issue contains a "Pull-Out" section, a reproducible classroom activity centered on a real-world modeling problem. Recent Pull-Out lessons have modeled a wide range of topics including the genetics of sickle cell anemia and the accuracy of the Patriot Missile System.
The UMAP Journal, published quarterly and available electronically with COMAP membership, blends contemporary teaching modules with commentaries and articles to create a boldly different periodical. Each issue puts several real-world problems under a mathematical lens, and demonstrates how real people are using mathematics in their jobs and lives. Whether it is exploring an elegant explanation of price-elasticity of illegal drugs, or the strategic implications of disarming the U.S. nuclear arsenal, The UMAP Journal is the modeling journal for anyone interested in applied mathematics
Available in self-contained modules, GeoMAPs allow you and your students to explore geometry as it is used in the world today. Modules address major themes in both mathematics and civilization, such as search for optimality, study of regularity, symmetry, and other aesthetic qualities of objects and drawings, avoidance and resolution of conflict, prediction and control of physical motions, and the study of measurement.
HiMAP Modules are the perfect companion to any high school text. Each module is a self-contained modeling problem that includes exercises, activities, and, where appropriate, assessment problems. HiMAP Modules cover a broad range of application areas, and topics in both discrete and continuous mathematics. With dozens of modules in print, for courses from pre-algebra to pre-calculus, there is a module for almost any subject, interest, and mathematics ability.

UMAP Modules are the perfect companion to any college mathematics text. Each module is a self-contained modeling problem that includes exercises, activities, and, where appropriate, sample exams. With over 300 modules in print, on mathematical subjects from algebra to analysis, there is a UMAP Module for every interest and mathematics ability.

ILAP Modules consist of small group problem-solving projects that motivate students to develop mathematical concepts and skills. The principles of other disciplines are melded with those of mathematics, producing a broader outlook on solving problems. Formulated like case studies, these projects require students to use scientific and quantitative reasoning, mathematical modeling, symbolic manipulation, and computation. Members can download and reproduce these modules for use in their courses.

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