Ohio Journal of School Mathematics: Number 73 (Spring 2016)

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https://kb.osu.edu/handle/1811/80132

Front Matter
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Exploration of Polynomials Through the Use of Code Word Solutions
Drum, John R. pp. 1-3
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Integrating Alternative Algorithms: Possibilities and Practices
Jong, Cindy; Dowty, Haley; Hume, Bailey; Miller, Maranda pp. 4-9
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Revisiting Equal Sums
Lanstrum, Michael W. pp. 10-12
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Fractions as Numbers and Extensions of the Number System: Developing Activities Based on Research
Park, Jungeun; Flores, Alfinio; Hohensee, Charles pp. 13-21
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Magnifying Mathematics with Digital Microscopes
Walker, Janet; Campelo, Marina Muniz pp. 22-30
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Box Full of Mathematics
Wares, Arsalan pp. 31-36
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Mathematical Patterning Activities in the Early Grades
Wang, Qiao pp. 37-42
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Exploring Misconceptions with Rich Tasks
Glover, Anna pp. 43-49
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Contest Corner: Math Clubs in Kindergarten? It is happening in 24 New York City Schools!
Kuchey, Debora; Flick, Michael pp. 50-53
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Back Matter
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Now showing 1 - 11 of 11

Front Matter (Number 73, Spring 2016)
(Ohio Council of Teachers of Mathematics, 2016)
Exploration of Polynomials Through the Use of Code Word Solutions
(Ohio Council of Teachers of Mathematics, 2016) Drum, John R.
The study of polynomials is an important foundational idea in elementary algebra and introductory calculus. This activity will reinforce and introduce ideas about where roots occur, change in slopes over the curve, and determining extremum. This project has students choose a word which has meaning to them, encipher it, and produce a polynomial of their own. From this personalized polynomial they will carry out these studies.
Integrating Alternative Algorithms: Possibilities and Practices
(Ohio Council of Teachers of Mathematics, 2016) Jong, Cindy; Dowty, Haley; Hume, Bailey; Miller, Maranda
This article discusses reasons for learning alternative algorithms and the benefits of exposing preservice teachers to alternative algorithms. It presents two alternative multi-digit subtraction algorithm examples, includes perspectives from preservice teachers, and provides strategies for teachers and teacher educators to integrate alternative algorithms in classrooms.
Revisiting Equal Sums
(Ohio Council of Teachers of Mathematics, 2016) Lanstrum, Michael W.
This article revisits the Equal Sums problem and considers all possible solutions. Depending on the row/column total, various solutions are possible. Sometimes the value of E is unique, sometimes E is not, and in other cases a value of E is not possible. Looking at all possible row/column totals, surprisingly there is only one value that E cannot represent.
Fractions as Numbers and Extensions of the Number System: Developing Activities Based on Research
(Ohio Council of Teachers of Mathematics, 2016) Park, Jungeun; Flores, Alfinio; Hohensee, Charles
Existing studies have shown fractions present significant challenges for K-8 students and pre-service teachers. They suggest that students may fail to see fractions as numbers and have difficulty moving beyond the part-whole realization, and thus they often think of fractions as objects disconnected from the number system. To address this issue, the current study proposes several activities that can be used in mathematics courses for pre-service elementary/secondary teachers or students to help the mrecognize fractions as numbers with the same visual representations as whole numbers (e.g., the number line) and on which the same kinds of operations can be used. Along with a description of the activities,the paper also provides observations about what happened when we gave the activities to a group of 28 prospective elementary teachers, highlighting evidence of their understanding of fractions as numbers.
Magnifying Mathematics with Digital Microscopes
(Ohio Council of Teachers of Mathematics, 2016) Walker, Janet; Campelo, Marina Muniz
This article describes a series of activities for intermediate-level students to explore ratio reasoning using a digital microscope. In the Common Core State Standards, this subject is addressed for sixth- and seventh-grade students, although this type of reasoning should be introduced at a younger age.Thus, the authors designed this set of activities and then implemented them with a group of fourth-graders.The lesson was well-received and established a foundation for future development of ratio reasoning.
Box Full of Mathematics
(Ohio Council of Teachers of Mathematics, 2016) Wares, Arsalan
The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. The design of this box was inspired by the design of a traditional origami masu box. We first construct a simple origami box from a rectangular sheet and then discuss some of the mathematical questions that arise in the context of geometry and algebra. The activity can be used as a context for illustrating how algebra and geometry, like other branches of mathematics, are interrelated.
Mathematical Patterning Activities in the Early Grades
(Ohio Council of Teachers of Mathematics, 2016) Wang, Qiao
This article discusses the importance of patterning in early mathematics study for young children and describes some patterning activities for prekindergarten classes to motivate young children to explore the mathematics through observing and creating their own patterns.
Exploring Misconceptions with Rich Tasks
(Ohio Council of Teachers of Mathematics, 2016) Glover, Anna
In the following paper, the author investigates Points on Line Segment, a rich task available on the Stella's Stunners section of the Ohio Resource Center website. The task was posed to 11 high school students in the greater Columbus area. The author advocates increased use of rich tasks in the secondary school curriculum, discussing ratio and fraction misconceptions that upper level students encountered as they solved the problem.
Contest Corner: Math Clubs in Kindergarten? It is happening in 24 New York City Schools!
(Ohio Council of Teachers of Mathematics, 2016) Kuchey, Debora; Flick, Michael
Back Matter (Number 73, Spring 2016)
(Ohio Council of Teachers of Mathematics, 2016)

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