Elementary Mathematics Methods
An elementary mathematics methods course could address the following topics:
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The pervasive role in mathematics instruction of the Process Standards emphasized by
the Illinois Goals for Learning and the National Council of Teachers of Mathematics:
problem solving, mathematical communication, reasoning and proof, connections, and
mathematical representation, and technology.
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Understanding how children learn mathematics, planning for instruction, and appropriate
use of manipulatives.
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The interaction of assessment and instruction.
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Early number concepts, number sense, numeration, and place value.
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Whole number operations: operation sense, basic facts, and algorithms.
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Rational numbers: fractions, decimals, ratios, proportion and proportional reasoning,
and percent.
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Data and statistics.
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Probability.
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Patterns, relationships, and early algebra.
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Geometry and measurement.
While it's certain that all of these topics cannot be thoroughly "covered" in any single
course, it is important to provide preservice teachers with a coherent view of elementary
mathematics curricula and instill the notion that they can and must continue to learn about
the effective teaching of mathematics.
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