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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 64 (Fall 2011)
Knowledge Bank contains collections of presentations, publications and reports related to Ohio State University.
Ohio Journal of School Mathematics: Number 64 (Fall 2011)
Kembitzky, Kimberle; Victor, Catherine; Flanagan, Lauren
Many students can find the volume of new vocabulary terms in the high school Geometry curriculum
quite intimidating. Geometry students can be exposed to over 100 new terms in just the
first semester! If students do not understand the terminology, they will have a hard time applying
and communicating the mathematics they are learning. A series of activities is introduced
that uses a kinesthetic approach to learning the terminology relating to the special angle pairs
formed by intersecting lines and transversals.
Biederman, Sam; Kahle, Diane Borton
Delving into and expanding the thinking of students is an important challenge for mathematics teachers.
This article describes the thinking of one student, Sam, about perfect square numbers. His thinking and the
probing of his teacher helped Sam develop his own pattern for mentally calculating perfect squares. Sam
writes his pattern as a formula involving digits of the original number to be squared. The article describes his
thinking process and the algebra used to verify his ideas.
Kirchner, Mary Kay; Sarhangi, Reza
The Navajo Nation is well-known for its exceptional artistry with respect to the weaving of rugs, blankets, and
other textiles. This article will discuss the culture of the Navajo, their weavings, and how this art form can be used
to teach and extend mathematics concepts in secondary education. The patterns within the Navajo weavings
will be used to illustrate examples of the four isometries and the seven frieze groups. These patterns will also be
used to determine the fundamental region, as well as to study the fractal concept of iteration and its impact on
area and perimeter.
Fryer, Joseph; Detro, Casey
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In this
article, his life is not only depicted but his mathematical intellect is highlighted through his achievements.
Since his time, technology has helped further the finding of Mersenne primes. Prime numbers are large
concepts for students to learn in school. Mersenne primes further examine the study of prime numbers.
Douglass, Lisa; Horstman, Alissa
Response to Intervention (RtI) is a practice of academic and behavioral interventions designed to provide
early, effective assistance to underperforming students. Research-based interventions are implemented and
frequent progress monitoring is conducted to assess student response and progress. When students do
not make progress, increasingly more intense interventions are introduced. In this paper, we will discuss
Response to Intervention (RtI), inquiry-based mathematics, and how these can work together for the benefit
of students and educators.
Hartnett, Dana; Koepfle, Lauren
In this article, we introduce the ancient Rhind papyrus. The Rhind papyrus serves as the foundation of mathematics
today as it includes various mathematical techniques such as proportions, algebra, volume, and
geometry. While many mathematical strategies are written on the Rhind papyrus, this article explores the
ancient Egyptians approach to finding the area of a circle. Mirroring the Egyptians’ approach to comparing
shapes to find information, this article explores a middle school activity that can be used in a similar way.
Dukes, Patrick S.; Rusinko, Joseph P.
The recent axiomization of Origami has led to numerous breakthroughs in both mathematics and in
understanding of the ancient art of paper folding. We propose a puzzle whose solution demonstrates the
power of mathematical origami. This puzzle is accessible to the geometry student and could be used as
supplemental geometry instruction as an extension of traditional compass and straight edge constructions.
Detailed images and photos are provided to guide the audience through the puzzle’s solution.
Krach, Michael
In this article, the author presents three major reasons for making estimates to computational situations/problems.
He then discusses, along with specific examples, four commonly used estimations strategies. Included, at
the conclusion of the article, are exercises, problems, and activities for the students.
Lifer, Steve
Buckenmeyer, Stephanie; Gerhardinger, Joe
Kuchey, Debbie; Flick, Michael