**Benchmark
2B: The Nature of Mathematics -**
**Mathematics, Science, and Technology**
**(grades 9-12, page 33)**
Mathematical modeling aids in technological design by simulating how a
proposed system would theoretically behave. (1 of 5)
Standard 1-4 page 137, Grades 9-12

Apply the process of mathematical modeling to real-world problem situations
Mathematics and science as enterprises share many values and features:
belief in order, ideals of honesty and openness, the importance of criticism
by colleagues, and the essential role played by imagination. (2 of 5)
Standard 4-3 page 146, Grades 9-12

Use and value the connections between mathematics and other disciplines
Mathematics provides a precise language for science and technology to describe
objects and events, to characterize relationships between variables, and
to argue logically. (3 of 5)
Standard 2-6 page 140, Grades 9-12

Appreciate the economy, power, and elegance of mathematical notation
and its role in the development of mathematical ideas
Developments in science or technology often stimulate innovations in mathematics
by presenting new kinds of problems to be solved. In particular, the development
of computer technology (which itself relies on mathematics) has generated
new kinds of problems and methods of work in mathematics. (4 of 5)
Standard 4-3 page 146, Grades 9-12

Use and value the connections among mathematical topics
Standard 4-3 page 146, Grades 9-12

Use and value the connections between mathematics and other disciplines

Developments in mathematics often stimulate innovations in science and
technology. (5 of 5)
Standard 4-3 page 146, Grades 9-12

Use and value the connections between mathematics and other disciplines