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The KnowledgeBank at OSU (82.538 recursos)
Knowledge Bank contains collections of presentations, publications and reports related to Ohio State University.
Ohio Journal of School Mathematics: Number 68 (Fall 2013)
Knowledge Bank contains collections of presentations, publications and reports related to Ohio State University.
Ohio Journal of School Mathematics: Number 68 (Fall 2013)
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?
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.
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...
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.
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.
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.
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.
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.
Bolognese, Chris; Edwards, Michael Todd