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Reasoning: Quantitative Reasoning
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Quantitative Reasoning: Tools for Today’s Informed Citizen will serve as text for the workshop. The book was developed to help students understand and solve problems that are relevant to their family, their community, their workplace, their country and their world. It contains background readings, worked-out examples, a set of exercises called “explorations” and two versions of activities that allow students to explore and solve problems. One version of the activities uses Microsoft Excel and the other version uses a TI-83 or TI-84 graphing calculator. Instructions for using Microsoft Excel and graphing calculator technology are integrated into the activities carefully so that students can concentrate on ideas rather than on computational details when investigating problems.
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The expectation that college graduates will demonstrate competence in quantitative reasoning is broadly supported on both the state and national levels; ... the assessment of QR skills in undergraduates is complicated. For one thing, QR crosses domains. For another, important assessment questions have yet to be addressed: what QR skills should students enter with? what should their QR skills look like when they graduate?
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person in raincoat looking at river "Broadly speaking, qualitative-reasoning research aims to develop representation and reasoning techniques that will enable a program to reason about the behavior of physical systems, without the kind of precise quantitative information needed by conventional analysis techniques such as numerical simulators. Observing pouring rain and a river's steadily rising water level is sufficient to make a prudent person take measures against possible flooding - without knowing the exact water level, the rate of change, or the time the river might flood." -Yumi Iwasaki
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Often, quantitative reasoning (QR) is assumed to be synonymous with mathematics, and, indeed, the two are inextricably linked. Yet there are differences, one of which is that while mathematics is primarily a discipline, QR is a skill, one with practical applications. A mathematician might take joy in abstraction, but the well-educated citizen can apply QR skills to daily contexts: for instance, understanding the power of compound interest or the uses and abuses of percentages; using fundamental statistical analysis to gauge the accuracy of a statistical study; or applying the principles of logic and rhetoric to real world arguments.
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