Mathematics provides an environment for logical, creative investigation of quantitative and relational situations. It consists of a large body of knowledge and many sub-disciplines, each of which provides an array of tools and techniques for exploration and analysis. This includes, but is not limited to: patterns of logical reasoning and inference, geometric and algebraic manipulation, and analytic, graphical, and statistical investigation of phenomena. Different sub-disciplines are especially useful for solving certain types of problems while connections between the sub-disciplines help in the understanding and solution of other types of problems.

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