2,638 research outputs found

    State Specialists’ Views of Minnesota’s Evolving Extension System

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    extension, Teaching/Communication/Extension/Profession,

    Self Concept Data

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68241/2/10.1177_019263656404829304.pd

    MICC: A tool for computing short distances in the curve complex

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    The complex of curves C(Sg)\mathcal{C}(S_g) of a closed orientable surface of genus g≥2g \geq 2 is the simplicial complex having its vertices, C0(Sg)\mathcal{C}^0(S_g), are isotopy classes of essential curves in SgS_g. Two vertices co-bound an edge of the 11-skeleton, C1(Sg)\mathcal{C}^1(S_g), if there are disjoint representatives in SgS_g. A metric is obtained on C0(Sg)\mathcal{C}^0(S_g) by assigning unit length to each edge of C1(Sg)\mathcal{C}^1(S_g). Thus, the distance between two vertices, d(v,w)d(v,w), corresponds to the length of a geodesic---a shortest edge-path between vv and ww in C1(Sg)\mathcal{C}^1 (S_g). Recently, Birman, Margalit and the second author introduced the concept of {\em initially efficient geodesics} in C1(Sg)\mathcal{C}^1(S_g) and used them to give a new algorithm for computing the distance between vertices. In this note we introduce the software package MICC ({\em Metric in the Curve Complex}), a partial implementation of the initially efficient geodesic algorithm. We discuss the mathematics underlying MICC and give applications. In particular, we give examples of distance four vertex pairs, for g=2g=2 and 3. Previously, there was only one known example, in genus 22, due to John Hempel.Comment: 19 pages, 9 figures, Version 2 has updated figures and reference

    THE HELPING TEACHER/CRISIS TEACHER CONCEPT

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    Confusion of Terms

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    Problem of Joint Costs

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    The Prediction of Teaching Performance: Empathic Potential

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68819/2/10.1177_002248716101200312.pd
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