Middlebury: Mathematics
http://www.middlebury.edu/academics/edst/prosem/endorsements/math
en5440-11 Mathematics
http://www.middlebury.edu/academics/edst/prosem/endorsements/math/node/249434
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<p>By fulfilling the Math major requirements students will meet most of the endorsement requirements for the State of Vermont. In addition the following courses are highly recommended.</p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0241">MATH 0241</a> Elemental Number Theory</p>
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<p>A course on Statistics (see below)</p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0247">MATH 0247</a> Graph Theory</p>
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<p>A course in computer science (see below)</p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0310">MATH 0310</a> Probability</p>
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<p>These courses may coincide with the fulfillment of major or minor requirements</p>
<p align="center">Specific course and endorsement alignments</p>
<p><strong>Knowledge Standards</strong></p>
<p>Attained through fulfillment of major or minor requirements and selected electives</p>
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<p align="center"><em><span>Middlebury Course Offering</span></em></p>
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<p align="center"><em><span>Knowledge/skill required</span></em></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0121">MATH 0121</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0122">MATH 0122</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0200">MATH 0200</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0223">MATH 0223</a></p>
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<p><em>Algebra and Number Theory –</em> Properties of natural numbers and integers, as well as complex number systems; ways that basic ideas of number theory and algebraic structures underlie rules for operations on expressions, equations, and inequalities; use of algebra to model and reason about real-world situations; use of algebraic reasoning for problem solving and proofs in number theory, geometry, discrete mathematics, and statistics</p>
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<p>Major requirements</p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0121">MATH 0121</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0122">MATH 0122</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0223">MATH 0223</a></p>
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<p><em><span>Geometry and Trigonometry </span></em><span>– Core concepts and principles of geometry in the plane and in space using Euclidean geometry along with Cartesian coordinate and vector methods, and applications to transformations and problem solving; trigonometry from geometric and graphical perspectives, and applications to problem solving</span></p>
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<p>Major requirements</p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0121">MATH 0121</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0122">MATH 0122</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0223">MATH 0223</a></p>
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<p><em><span>Functions and Analysis – </span></em><span>Equations and formulas associated with each important class of functions and the way that parameters in these representations determine particular cases; logarithmic functions; how to use functions to solve problems in calculus, linear algebra, geometry, statistics, and discrete mathematics</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0116">MATH 0116</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FPSYC0201">PSYC 0201</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FECON0210">ECON 0210</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0310">MATH 0310</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0311">MATH 0311</a></p>
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<p><em><span>Data Analysis, Statistics, and Probability – </span></em><span>Use of surveys to estimate population characteristics, and design of experiments to test conjectured relationships among variables; use of both theory and simulations to study probability distributions, and applications of both theory and simulation in models of real phenomena; conditional probability and independence, and calculation of probabilities associated with these concepts; performance of formal hypothesis tests while applying appropriate statistical testing</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0247">MATH 0247</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FCSCI0102">CSCI 0102</a></p>
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<p><em><span>Discrete Mathematics and Computer Science – </span></em><span>Graphs, trees, and networks; enumerative combinatorics; iteration and recursion; conceptual underpinnings of computer science</span></p>
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<p><strong>Performance Standards</strong></p>
<p>Attained through Senior work in major and presentations in all Math courses, Education Studies courses, including EDST 0410 Student Teaching Seminar, and understanding faculty modeling and use of best practice in Middlebury classes</p>
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<p align="center"><em><span>Middlebury Course Offering</span></em></p>
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<p align="center"><em><span>Knowledge/skill required</span></em></p>
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<p>Major coursework</p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Anticipates, elicits, and corrects typical errors and misconceptions in mathematical reasoning through the planning and execution of lessons</span></p>
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<p>Major coursework</p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Models the habits of mind of flexibility and perseverance that support mathematical learning</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0704">MATH 0704</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Designs and incorporates mathematical tasks/activities that enable students to investigate, explore, and discover structures and relationships; solidify basic mathematical skills; extend and generalize mathematical concepts; create and use mathematical models; apply concrete, formal, and informal strategies to solve mathematical problems; formulate and solve problems individually and collaboratively; and justify and communicate their conclusions orally and in writing</span></p>
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<p>Major coursework</p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Conveys the real world applications of mathematical ideas, and the interconnections among mathematical ideas and between mathematics and other disciplines</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0704">MATH 0704</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Communicates mathematical ideas using appropriate mathematical language and mathematical representations, and teaches students to use both to communicate about mathematical ideas</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Uses required mathematics scoring guides and benchmarks to evaluate student work and teaches students to use both to evaluate their own work</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FMATH0704">MATH 0704</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Provides opportunities for students to use appropriate technological tools to explore algebraic ideas and representations of information, study individual functions and classes of related functions, conduct geometric investigations, and solve problems</span></p>
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<p>Major coursework</p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Conveys to students how the development of mathematical theory and understanding is a historical process with continuous creation of new knowledge and refinement or rejection of “old” knowledge</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Conveys to students the roles and responsibilities of mathematicians with respect to social, economic, cultural, and political systems, and provides them with opportunities to actively explore the full scope of career choices available to people in mathematics</span></p>
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<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0318">EDST 0318</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0320">EDST 0320</a></p>
<p><a href="http://catalog.middlebury.edu/courses/view/catalog/catalog%2FMCUG/course/course%2FEDST0410">EDST 0410</a></p>
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<p><span>Demonstrates sensitivity to inequities in mathematics teaching and careers by incorporating specific instructional strategies that promote equity</span></p>
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<p><a href="http://education.vermont.gov/documents/EDU-Rule-5440_Supplement_A_Licensing_Endorsements.pdf#page=87"> 5440-11 Mathematics</a></p>
Mon, 28 Apr 2014 13:36:12 +0000Patricia Dougherty pdougher@middlebury.edu249434 at http://www.middlebury.edu