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Mathematics Frameworks

The study of mathematics can be an exciting and interesting challenge. Yet, the major reason to become proficient in this discipline revolves around the use of mathematics as a tool to solve problems from the areas of science, business, engineering, economics, and all other areas which involve data collection and analysis. The mathematics program is designed to establish connections between the key concepts of math and their applications.

Theoretical structure of mathematics - Students will demonstrate an understanding of the theoretical foundations of mathematics.
  • Thought processes (intuition, deduction, induction)
  • Logical arguments (two column, narrative, flow chart proofs)
  • Structure of axiomatic systems (Euclidian geometry, real and complex number systems)
  • Fundamental concepts (functions, sets, limits, infinity, infinitesimals, statistics, probability)
Problem solving - Students will formulate problem solving strategies.
  • Establishment of relationships (numerical, geometric, pictorial, graphic, symbolic)
  • Recognition, collection, and analysis of pertinent data
  • Development and evaluation of methods and algorithms
  • Validation of results (estimation, approximation, reasonableness)
Mechanics of mathematics - Students will symbolically manipulate mathematical expressions and statements.
  • Performance of operations and computational processes (arithmetic, algebraic, graphic)
  • Illustration of solution processes for equations and inequalities
  • Calculation using electronic devices (scientific and graphing)
Appropriate use of emerging technology - Students will use technology to improve and extend their understanding of mathematics.
  • Calculators at appropriate levels (scientific and graphing)
  • Computer software (graphic, spread sheets, data bases, symbolic manipulators, simulations)
  • Information management systems (compact disk, telecommunication, internet, video disk)
All students will experience an evolving curriculum designed to be a rich tapestry of traditional mathematics skills intertwined with problem solving, graphical analysis, measurement, probability, and statistics. The use of manipulatives, calculators (scientific and graphing), computers, writing assignments, and cooperative learning activities will all be designed to achieve this mission.

Frameworks

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