encompasses arithmetic, measurement, algebra, geometry, trigonometry,
statistics, probability and other related fields. It deals with numbers,
quantities, shapes and data, as well as numerical relationships and
operations. Confronting, understanding and solving problems is at the
heart of mathematics. Mathematics is much more than a collection of
concepts and skills; it is a way of approaching new challenges through
investigating, reasoning, visualizing and problem solving with the goal
of communicating the relationships observed along with solutions.
must be prepared for the technical society in which they live. They
should set clear expectations for themselves and achieve at levels that
are appropriate. Educators and parents must all work together to foster
growth in each individual students.
The professional staff must:
- Emphasize technology so that students will be prepared to function in their technical environment.
- Emphasize real world applications of mathematics.
- Incorporate interdisciplinary approaches to mathematics topics.
- Develop problem solving and computational skills.
- Develop logical reasoning.
- Develop an understanding of uses of appropriate technology.
KEY POINTS FOR COMMON CORE STANDARDS FOR MATHEMATICS:
The high school standards call on students to practice applying mathematical ways of thinking to real world issues and challenges; they prepare students to think and reason mathematically.
The high school standards set a rigorous definition of college and career readiness,
by helping students develop a depth of understanding and ability to
apply mathematics to novel situations, as college students and employees
The high school standards emphasize mathematical modeling, the use of mathematics and statistics to analyze empirical situations, understand them better, and improve decisions. For example, the draft standards state: “Modeling links classroom mathematics and statistics to everyday life, work, and decision-making. It is the process of choosing and using appropriate mathematics and statistics to analyze empirical situations, to understand them better, and to improve decisions. Quantities and their relationships in physical, economic, public policy, social and everyday situations can be modeled using mathematical and statistical methods. When making mathematical models, technology is valuable for varying assumptions, exploring consequences, and comparing predictions with data.”