Ohio Journal of School MATHEMATICS Building an Energetic Community of Ohio Mathematics Educators

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1 Fall 2015 Number 72 Ohio Journal of School MATHEMATICS Building an Energetic Community of Ohio Mathematics Educators In this Issue: Quantitative Literacy - Problems that Motivate Problem-Solving and Reading Strategies for ACT Preparation Multiple Ways to Persevere: Liar s Bingo Students Misconceptions in Mathematics And Much More A Publication of the Ohio Council of Teachers of Mathematics Page ~ i ~ Ohio Journal of School Mathematics, Fall 2015, Vol. 72

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3 Ohio Journal of School Mathematics Fall 2015 Number 72 1 Quantitative Literacy - Problems that Motivate Christopher Shaw, Columbia College Chicago 8 Problem-Solving and Reading Strategies for ACT Preparation Dywayne Nicely, Ohio University - Chillicothe 13 Summing Squares and Cubes of Integers Darrell Minor, Columbus State Community College 18 Weighted Dice: A Physical Application for Probability Studies Russell W. Kincaid, Wilmington College 23 Multiple Ways to Persevere: Liar s Bingo Catherine Pullin Lane, Shelly Sheats Harkness, University of Cincinnati Jonathan N. Thomas, University of Kentucky 30 Students Misconceptions in Mathematics: Analysis of Remedies and What Research Says Bobby Ojose, Youngstown State University 35 Contest Corner: The 2015 OCTM State Tournament of Mathematics Results Debbie Kuchey & Michael Flick, Xavier University Ohio Journal of School Mathematics, Fall 2015, Vol. 72 Page ~ i ~

4 Ohio Journal of School Mathematics Call for Manuscripts The Ohio Journal of School Mathematics is the journal of the Ohio Council of Teachers of Mathematics. It is intended to be a medium for teachers from elementary to college level to present their ideas and beliefs about the teaching and learning of mathematics. Mathematics educators at all levels are encouraged to submit manuscripts for upcoming issues of the Journal. Although research studies are not emphasized in the Journal, practical application of research implications is appropriate. Guidelines for Manuscripts and Activities Manuscripts should be double-spaced with one-inch margins, 11-point Times New Roman font, and a maximum of 8 pages. References should be listed at the end of the manuscript in APA style. Please include appropriate information such as author, journal or book title, publisher, date, and pages. Original figures, tables, and graphs should appear embedded in the document. Please do not use text boxes, footnotes, or head-notes. Only an electronic copy is required. The electronic copy should be in Word. The electronic copy should be submitted via an attachment to Author name, work address, telephone number, fax, and address must appear on the cover sheet. No author identification should appear on manuscripts after the cover sheet. (The editors of the Ohio Journal of School Mathematics use a blind review process for manuscripts. Classroom activities are not peer reviewed, but undergo a rigorous revision process in consultation with the editors.) Submit manuscripts to Ohio Journal of School Mathematics, Journal Editor. The article content of the Ohio Journal of School Mathematics does not necessarily represent the views of the Ohio Council, and all opinions expressed therein are those of the authors. Ed Laughbaum, Co-Editor Department of Mathematics The Ohio State University, Retired 231 West 18th Avenue Columbus, OH Kimberle Kembitzky, Co-Editor Secondary Instructional Math Coach Hilliard City Schools 2800 Walker Road Hilliard, OH Follow on Page ~ ii ~ Ohio Journal of School Mathematics, Fall 2015, Vol. 72

5 President Steve Miller Retired Mathematics Learning Specialist, Akron Public Schools President-Elect Christina Sherman Mathematics Consultant, Hamilton County ESC OCTM BOARD OFFICERS Secretary Barb Weidus Mathematics Coach at New Richmond EVSD and Hillsboro City Schools Treasurer Laura Anfang Adjunct Professor, Ursuline College Affiliate Services Lynn Aring Bay Village Schools- Retired Executive Director David Kullman Prof Emeritus, Mathematics Miami University Vice President Elementary Anne Mikesell Mathematics Consultant Vice President Secondary Linda Bollman Cincinnati Hills Christian Academy Vice President College Gabriel Matney Associate Professor, School of Teaching and Learning, BGSU East District Director Heather Wukelich Mathematics Instructional Coach, Austintown Local Schools West District Director Kyle Kunk Middle School Principal, St. Henry Middle School Southeast District Director Courtney Koestler Director of South East Ohio Center for Excellence in Mathematics and Science Northeast District Director Mary Beth Hearns Teacher, Kenston High School, Kenston Local Schools OCTM DISTRICT DIRECTORS South District Director Jodi Dunham Secondary Mathematics Teacher, Lucasville Valley Local Schools Northwest District Director Diane Burtchin Math Coach, Grades K-8, Rossford Exempted Village School District org Southwest District Director Linda Gillum 7th grade math teacher at Springboro Junior High School m At-Large District Director Carole J. Katz K-12 Math Coordinator, Beachwood City Schools org Central District Director Matt Carpenter Mathematics Teacher, Jonathan Alder High School rg (OMELC) Representative Todd Edwards & Barb Weidus com & Membership Secretary Sister Mary Theresa Sharp, SND Lecturer, Mathematical Sciences Department, Kent State University Historian Duane Bollenbacher Instructor Bluffton University 329 S. Main Street Bluffton, OH OTHER COUNCIL POSITIONS Memorial Scholarship Committee Co-Chair Margaret Kasten 3845 Quail Hollow Drive Columbus, OH Memorial Scholarship Committee Co-Chair Rebecca Maggard Teacher Brookville High School P.O. Box 448 Eaton, OH Newsletter Editor Rachael Gorsuch Mathematics Teacher Teays Valley High School Website Editor Steve Phelps Mathematics Teacher Madeira High School 2015 Annual Meeting Contact-Cincinnati Judy Gerwe & Christine Supinger Annual Conference Coordinator Mark Jaffee High School Mathematics Teacher, Retired Tournament Coordinator Michael Flick Xavier University OHMIO Director Brian Meeron Calculus Teacher at Lakota West High School Advocacy Coordinator TBA Ohio Resource Center Liaison Jaime Kautz Mathematics Content Specialist, ORC NCTM Representative Janet Herrelko Associate Professor Mathematics Education University of Dayton Tournament Director Chris Bolognese Mathematics Teacher Upper Arlington HS Constitution Committee Chair Janet Herrelko Associate Professor Mathematics Education University of Dayton Permission to copy is granted to teachers for instructional use when the material is to be distributed free of charge or at cost only, to librarians who wish to place a limited number of copies on reserve, and to other professional journals. In all such instances, due credit must be given to the author(s) and to the Ohio Journal of School Mathematics. A copy of the document using Journal materials must be sent to the OCTM editor. Commercial use is prohibited. Copyright 2015, the Ohio Council of Teachers of Mathematics For more information regarding affiliate chapters and state mathematics consultants, please visit the OCTM website ( ). Ohio Journal of School Mathematics, Fall 2015, Vol. 72 Page ~ iii ~

6 The 65 th OCTM Annual Conference will be held at the newly enlarged State-of-the -Art Sharonville Convention Center near Cincinnati, Ohio. Free parking is available at both the Convention Center and at the Hotels LivINN Suites and Fairfield Inn & Suites by Marriott. More information will be coming later on the OCTM website Stay updated by following us on Facebook and If you have any questions, please contact Judy Gerwe at or Chris Supinger at Ohio Journal of School Mathematics, Fall 2015, No. 72

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