Ohio Journal of School Mathematics: Number 66 (Fall 2012)

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Front Matter
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Taxicab Travel: Mathematically Touring Baltimore
Fout, Nick; Marker, Jennifer; Lotz, Lauren; Porter, Sarah pp. 1-8
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Curve fitting with the Bubble Board
Hammons, Alexandrea N.; Flores, Alfinio; Pelesko, John A.; Biehl, L. Charles pp. 9-16
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Toward an Understanding of Mathematical Procedures
Hodgson, Ted; Eisenhardt, Sara; Mugavin-Smith, Jennifer pp. 17-24
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Using Literacy Strategies for High-Stakes Assessment Preparation
Saliga, Linda Marie; Pachnowski, Lynne M. pp. 25-29
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Mathematical Morsels: A Monthly Voyage of Problem-Solving Goodness
Bolognese, Chris; Edwards, Todd p. 30
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Math Circles Inscribed in Ohio
Locke, Chris; Oyster, Jeff; MacDonald, Kristin; Soprunova, Jenya; Caniglia, Joanne pp. 31-34
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Always Improving: Turning Test Responses into Learning Opportunities
Parke, John S. pp. 35-38
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An Interesting Application of the Difference of Two Squares
Reid, Denise Taunton; Goel, Sudhir K. pp. 39-43
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The 2012 State Tournament of Mathematics Results
Flick, Michael; Kuchey, Debbie pp. 44-46
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Back Matter
pp. 47-48
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    Front Matter (Number 66, Fall 2012)
    (Ohio Council of Teachers of Mathematics, 2012)
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    Taxicab Travel: Mathematically Touring Baltimore
    (Ohio Council of Teachers of Mathematics, 2012) Fout, Nick; Marker, Jennifer; Lotz, Lauren; Porter, Sarah
    In this article, the authors explore how to engage students in critical thinking through a virtual field trip. From the mathematics classroom, students problem solve using surface area of three-dimensional shapes, non-Euclidean geometry, probability, and Euclidean constructions. By the end of these activities, students have applied their mathematics understanding to mummies, travel, code breaking, and treasure hunting.
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    Curve fitting with the Bubble Board
    (Ohio Council of Teachers of Mathematics, 2012) Hammons, Alexandrea N.; Flores, Alfinio; Pelesko, John A.; Biehl, L. Charles
    The bubble board is a device to create simultaneously 56 identical soap bubbles. Students study the relation between time and the number of remaining bubbles for different concentrations of glycerin and use linear, exponential, and logistic decay models to fit the data.
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    Toward an Understanding of Mathematical Procedures
    (Ohio Council of Teachers of Mathematics, 2012) Hodgson, Ted; Eisenhardt, Sara; Mugavin-Smith, Jennifer
    Research suggests that algebraic skill is intricately connected to understanding. Without understanding, algebraic performance is fraught with error and skills are quickly forgotten. In this article, we review one model of algebraic understanding and offer five easy-to-use classroom questions that are based upon this model. These questions represent a concrete approach to achieving the level of student understanding that is advocated in the Common Core Mathematics Standards. Through the use of these questions and related "understanding" investigations and assessments, students can attain both computational fluency and conceptual understanding. In-depth examples of the application of these questions to a linear equation task are provided, as are sample student investigations that can be used to promote an understanding of mathematical procedures.
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    Using Literacy Strategies for High-Stakes Assessment Preparation
    (Ohio Council of Teachers of Mathematics, 2012) Saliga, Linda Marie; Pachnowski, Lynne M.
    The article discusses discoveries made by a group of middle school teachers when researching and implementing literacy pedagogical strategies in the mathematics classroom. Specifically, the teachers found that the KWC strategy and the "Think Aloud" strategy were effective in preparing students for high-stakes exams. The article provides samples of online discussion posts the teachers made in which they share their successes in their classrooms using these techniques.
  • Item
    Mathematical Morsels: A Monthly Voyage of Problem-Solving Goodness
    (Ohio Council of Teachers of Mathematics, 2012) Bolognese, Chris; Edwards, Todd
  • Item
    Math Circles Inscribed in Ohio
    (Ohio Council of Teachers of Mathematics, 2012) Locke, Chris; Oyster, Jeff; MacDonald, Kristin; Soprunova, Jenya; Caniglia, Joanne
    The purpose of this article is to describe the preparation and implementation of a mathematics circle in Northeastern Ohio. Math Circles encourage the enjoyment, appreciation and knowledge of mathematics through problem solving and guided discovery. Also documented is the close collaboration teachers, students, and university personnel share. All aspects of the program are discussed with references to Russian Math Circles. While the Math Circle's goal is to develop reasoning and problem solving skills, students come to enjoy, appreciate, and expand their knowledge of mathematics.
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    Always Improving: Turning Test Responses into Learning Opportunities
    (Ohio Council of Teachers of Mathematics, 2012) Parke, John S.
    By using summative assessment scores and authentic student work samples, teachers can transform test grades into further opportunities for student growth. This practice allows students to continue to hone their mathematical skills, even after the test is finished. The procedures described include the incorporation of technology and "math talk" to transform everyday classroom tests into unique learning opportunities. Through the responses of their peers, students gain a clearer understanding of how to successfully respond to written response questions.
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    An Interesting Application of the Difference of Two Squares
    (Ohio Council of Teachers of Mathematics, 2012) Reid, Denise Taunton; Goel, Sudhir K.
    A standard topic in a college algebra course is solving equations containing two radicals. In this paper, we present an interesting application of the difference of two squares to solve such an equation.
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    The 2012 State Tournament of Mathematics Results
    (Ohio Council of Teachers of Mathematics, 2012) Flick, Michael; Kuchey, Debbie
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    Back Matter (Number 66, Fall 2012)
    (Ohio Council of Teachers of Mathematics, 2012)