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The KnowledgeBank at OSU (74.597 recursos)

Knowledge Bank contains collections of presentations, publications and reports related to Ohio State University.

Ohio Journal of School Mathematics: Number 68 (Fall 2013)

Mostrando recursos 1 - 11 de 11

  1. Shape Affects the Sound of a Drum: Modeling Area and Perimeter

    Adabor, James K.; Foley, Gregory D.
    The sound of a drum is based on the wave equation from physics. The surface area of the drumhead and its fixed perimeter are key parameters. This paper uses area and perimeter to model and answer the question, Can a rectangular and a circular drum make the same sound?

  2. Understanding Integer Addition and Subtraction Concepts Using Microsoft Word® Illustrations

    De Los Santos, Estella
    Small colored disks of different colors have long been used to teach integer concepts to middle school children. Concrete drawings of the colored disks may be created using Microsoft Word®. This article contains illustrations of integer addition and subtraction problems that may be used in the middle school classroom. Using this mode of instruction, students understand the concepts, are motivated to create mathematical models for problems, and are able to submit their work electronically.

  3. No 10-Element Subset of the First 100 Counting Numbers is Subset-Sum-Distinct

    Harper, Brian
    The purpose of this article is to present a solution to an interesting problem suggested by Richard Little of Baldwin-Wallace College involving "subset-sum-distinctness." Paul Erdős introduced the notion of "subset-sum-distinctness;" however, the focus of this article is instead on the problem and solution rather than Erdős. A set of counting numbers is subset-sum-distinct if and only if there is a one-to-one correspondence between the power set and the set of subset sums. In this article, we establish that no 10-element subset of the first 100 counting numbers is subset-sum-distinct by demonstrating the impossibility of a bijection from the power set of...

  4. Investigating Non-linear Asymptotes and the Graphs of Rational Functions

    Harrell, Marvin; Slavens, Dawn; Richardson, Connie
    When looking at rational functions and their associated asymptotes, we often only discuss vertical, horizontal, and oblique asymptotes with our students. Often students ask if there are other types of asymptotes. This calculator-based activity allows students to investigate this question. In this activity, students will investigate the end behaviors of rational functions and how they are directly related to the end behaviors of their associated quotient polynomials.

  5. Getting Students Excited about Data Analysis

    Mathews, Susann M.; Reed, Michelle; Angel, Nancy
    The Graphing Art Project encourages students to explore functions as they create art. Students write functions with domain and range restrictions that generate interesting pictures. The project is easily tailored for different levels of mathematical learners. Algebra 1 students create art using linear functions; precalculus students include conic sections, exponential, logarithmic, trigonometric functions and the greatest integer functions in their work. Students may write graphing calculator programs to reproduce and animate their art.

  6. Trigonometric Functions through Right Triangle Similarities

    Moyer, Todd O.
    This article presents an introduction to the trigonometric functions tangent, cosecant, secant, and cotangent. Students understand these functions as quotients of the sine and cosine functions only. However, applying right triangle geometry to a triangle constructed within the unit circle develops the remaining trigonometric functions as ratios of side lengths, fostering stronger student understanding.

  7. Plotting the Effects of Industrialization: An Interdisciplinary Project

    Vens, Kasey
    This interdisciplinary project combined a unit on basic data analysis with the social studies curriculum. Students created parallel box plots to compare and contrast a group of industrialized countries with a group of industrializing countries. Students analyzed twelve variables such as literacy rate, infant mortality, and GDP per capita in an effort to better understand the effects of industrialization. Due to the relevance of the data, students were able to have meaningful discussions of the differences in medians and interquartile ranges of the two groups.

  8. Contest Corner: The 2013 State Tournament of Mathematics Results

    Flick, Michael; Kuchey, Debbie
    The authors summarize results from the 2013 Ohio Council of Teachers of Mathematics (OCTM) Annual Contest. Sample problems from the contest are provided along with scores from top teams in Ohio.

  9. Mathematical Morsels: A Monthly Voyage of Problem Solving Goodness

    Bolognese, Chris; Edwards, Michael Todd

  10. Back Matter (Number 68, Fall 2013)

  11. Front Matter (Number 68, Fall 2013)

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