The Centroid - Articles

Recent Articles and Related materials

Full text of articles in issues back to 2004 may be accessed in the Centroid Issue Archive. Need assistance? Contact Holly Hirst, Editor, hirsthp@appstate.edu

Volume 49

  • No. 2  Spring 2024
    • Montana Smithey & Lauren Akers Oglesby. Connecting Mathematics to Students' Funds of Knowledge: Illustrations from the Elementary Classroom. pp. 3-9.
    • Alesia Mickle Moldavan & Montana Smithey. Problem Solving through a Social Justice Lens. pp. 10-15.
  • No. 1  Fall 2023
    • Aaron Trocki & Erika Hernandez. Mirrors and Windows to Analyze Waste Production: A Fifth-grade Teacher Promotes Equitable Learning with Applying Fractions. pp 3-10.
    • Kayla Chandler & Cary Davis. The Dream Car Project: An Example of a Personalized Real-World Mathematics Task. pp. 11-18.

Volume 48

  • No. 2  Spring 2023
    • Mara Moye, Renea Baker, Anita Koen, & Charity Cayton. Reflections on Co-teaching with Interns in High School. pp. 4-8.
    • Ashley Whitehead. Off the Beaten Path: Estimation in a 3rd Grade Classroom. pp. 10-13.
    • Rebecca Joy Martin Philyaw.  A Math III Teacher's Story. pp. 14-15.
  • No. 1  Fall 2022
    • Solomon Willis. Fun with Measurements.  pp. 3-7.
    • Gail Kaplan. Playing with Blocks.  pp. 8-12.
    • Gregory K. Harrell. Problem Solving Using a Balance Scale. pp. 13-18.

Volume 47

  • No. 2  Spring 2022
    • Rebecca E. Ferer & Keary Howard. Geometry: Prove It! – An Interactive WebQuest. pp. 3-9.  Webquest File [MSword] [PDF]
    • Charity Cayton & Maureen Grady. Call for Submissions: Centroid Special Issue on Co-Teaching. p. 10.
    • Laurie O. Cavey, Hollylynne S. Lee, & Maria Hernandez. Online Tools to Support Mathematical Modeling and Community Building. pp. 11-17.
  • No. 1  Fall 2021
    • Holly Hirst. Using Leslie Models Built from Scientific Data to Illustrate Matrix Arithmetic.  pp. 3-6.
    • Savannah Phillips & Monica Gonzalez. Zooming Through Virtual Numbers: Considerations for Virtual Instruction.  pp. 7-11.
    • Ann H. Wallace & Maria Zehr. Games A-'Round' the Classroom: Supporting Rounding Strategies in Third Grade. pp. 13-19.

Volume 46

  • No. 2   Spring 2021
    • Cacey Wells. Mathematics as a Metaphor. pp. 3-7
    • Gail Kaplan. The Circle Game. pp. 9-13.
    • Winn Crenshaw Wheeler, Jessica Ivy, & Amy Cordrey. Building Conceptual Understanding in the Age of Virtual Learning. pp. 14-18.
  • No. 1   Fall 2020
    • Ann Wheeler & Diana De Santiago. Santa to the Rescue: Exploring the Use of Slope and the Pythagorean Theorem. pp. 5-8.
    • Betty B. Long & Deborah A. Crocker. A Visual Proof of the Pythagorean Theorem. pp 9-11.
    • Alan T. Arnholt & Suzanne R. Arnholt. Using RStudio Cloud with a High School Class. pp. 13-17.

Volume 45

  • No. 2   Spring 2020
    • R. Michael Krach & Todd O. Moyer. Coordinates & Geometric Transformations: Four Activities. pp. 3-10.
    • Monica Gonzolez & Carrie Lee. Eliciting to Understand Unfamiliar Student Strategies. pp 9-13.
  • No. 1   Fall 2019
    • Solomon Willis. Modeling Bridges with Quadratic Equations. pp. 3-7.
    • Faye Bruun. Connecting Mathematicians to Middle School Students Through Literature. pp 9-13.
    • Jamie Munn. Let's Roll with Spiro! pp. 17-18.

Volume 44

  • No. 2 Spring 2019
    • Axelle Faughn. Discovering Students Mathematical World Through Mathematical Selfies. pp. 3-9.
    • Gail Kaplan. Fish Tanks and Beans: Related by Calculus! pp. 11-14.
  • No. 1   Fall 2018
    • Samantha Everett & Ross Gosky.  Bayesian Reasoning in a High School Statistics Course. pp. 3-7.
    • Patricia Marie Barrier & Holly Peters Hirst.  Tessellations: Tiling the Plane. pp. 9-14.
    • Sharareh Nikbakht. ASU Math Walk: Promoting STEM using Creative Activities. p. 15-20.

Volume 43

  • No. 2 Spring 2018
    • Bryant Ford. Professional Learning Communities RULE. pp. 3-6.
    • Alan Arnholt. Using R Markdown with the RStudio Integrated Development Editor. pp. 7-10.
  • No. 1   Fall 2017
    • Maureen Grady, Rose Sinicrope, Ronald V. Preston, Charity Cayton, Catherine Schwartz, Kwaku Adu-Gyamfi, Catharina Middleton, & D. Brooke Hill.  Literate Mathematics Educator's Quiz: Updated for a New Century. pp. 3-6.
    • Nathan Borchelt, Axell Faugn, Kathy Jaqua, & Sloan Despeaux.  Math Teachers' Circles: A Catalyst for Professional Growth. pp. 7-11.
    • Heather South & Ralph Willis. Math Contest Papers Accepted at the State Archives. p. 12.

Volume 42

  • No. 2  Spring 2017
    • Holly Henderson Pinter. Formative Assessment Utilizing the TI-Nspire Navigator System in 7th Grade Classrooms. pp. 3-6.
    • Diana S. Cheng, Asli Sezen-Barrie, Alexander C. Barrie, Timothy A. Akers, Kevin Peters. Forces in the Pairs Death Spiral: A Mathematics and Physics Modeling Activity. pp. 7-12.
    • William C. Bauldry. Dr. Leibniz and His Amazing Triangle. pp. 13-16.
    • Cheng et al. Worksheet Solutions
  • No. 1   Fall 2016
    • Amber Mellon.  Using Financial Literacy to Teach Math Concepts. pp. 5-9.
    • Amy Whicker. Flipped Mathematics Classrooms for the Inflexible. pp. 11-14.
    • Diana L. Moss, Stephanie Vega, & Teruni Lamberg.  Using Linking Cubes to Understand Prime Factorization. pp. 17-18.
    • Mellon Worksheet Solutions

Volume 41

  • No. 2   Spring 2016   
    • Courtney Glavich. Third Time's the Charm: Three Effective Strategies for Teaching. pp. 3-7.
    • David Thompson. Using a Thermometer to Catch a Cold-blooded Killer. pp. 9-11.
    • Todd Abel, Alana Baird, Holly Hirst, & Tracie Salinas. Introducing Students to the Mathematical Modeling Process. pp. 13-16.
    • Donald Hooley. Distributive Property Illustrations from Vedic Mathematics. pp. 19-22.
  • No. 1   Fall 2015
    • Alfinio Flores.  Minimizing the Sum of the Squares of the Distances to the Vertices of a Triangle. pp. 7-11.
    • Samuel Luke Tunstall. Lying with Statistics: Promoting Numeracy with an Exciting Project. pp. 12-14.
    • Katie Martin.  Discovery Education's Math Techbook in the Middle School Classroom. pp. 17-18.
    • Abel et al. Modeling Activity Assessment Diagram

Volume 40

  • No. 2   Spring 2015
    • William Bauldry & Matthew Jobrack. How Two becomes One: A Recurrence and a Trig Identity. pp. 3-5.
    • Holly Peters Hirst. The Racing Game - A Probability Activity. pp. 6-9.
  • No. 1   Fall 2014
    • Tina Lupton, Sarah Pratt, & Kerri Richardson. Exploring Long Division Through Division Quilts. pp. 3-8.
    • Donald Hooley. Vedic Arithmetic for Algorthmic Enrichment. pp. 9-12.

Volume 39

  • No. 3   Spring 2014
    • Shirley A. Disseler & Allison Thomson. Gender Differences in Attitudes and Percetions of Middle Grades Mathematics Students. pp. 5-9.
    • Lauren DuVall & Jessie Davidson.  Descartes' Coordinate Geometry and Pick's Theorem. pp. 10-12.
  • No. 2   Fall 2013  
    • Alfinio Flores. Visualizing the States. pp. 7-9.
    • Sarah Swartzel & John Wagaman. A Tactile Learning Group Activity for Visualization of Function Transformations in Algebra. pp. 10-15.
    • April Coggins. Flatten the Middle Math. pp. 16-17.
    • Puzzle Solutions
  • No. 1   Spring 2013
    • Allison McCullock, Jeremy Ernst, Christopher Limer, & Sara Taormina. STEM Inquiry on the Neuse River. pp. 6-10.
    • James Munn. iMath II. pp. 11-15.
    • Tammy Applegate. Setting up a School Store. pp. 16-17.
    • Crystal Morton, Daniella Cook, & Jan Yow. It's Play Time: Enhancing Computational Skills and Strategy Development Through Mathematical Games. pp. 18-21.

Volume 38

  • No. 2   Fall 2012   
    • Peter Eley & Lee Stiff.  A Tale about Access to 8th Grade Algebra in North Carolina. pp. 7-10.
    • Amanda Fields. iPods and Flip Video in the Classroom. pp. 11-12.
    • Rachel Hubbard. Clicking Toward Success. pp. 13-14.
    • Puzzle Solutions
  • No. 1   Spring 2012
    •  Holly Peters Hirst. Functions as Graphs: Depth Versus Volume in a Vase. pp. 5-7.
    • Gregory D. Foley.  The Shape of an Ellipse. pp.8-13.
    • Deborah Crocker. An Interview with Author Joan Holub. pp. 14-15.
    • Puzzle Solutions

Volume 37

  • No. 2   Fall 2011   
    • John Malokach.  The π Project.  pp. 6-8.
    • Peter Eley & Kelly Hines. Students Tell the Story: Creative Mathematics Storytelling Using Narrative Software. pp. 9-13.
    • Jenny Murray. Math Night at Voyager Academy. p. 18.
    • Puzzle Solutions
  • No. 1   Spring 2011   
    • Ann D. Bingham.  Learning Styles of the Struggling Algebra Student: A Statistical Snapshot. pp. 5-8.
    • Tyrette S. Carter & Loury Ollison Floyd. Twenty Ways to Enhance All Students' Mathematical Understanding.  pp. 10-13.
    • Nancy Bell Ruppert.  Using Visual Images to Enhance Comprehension. pp. 14-16.
    • Puzzle Solutions

Volume 36

  • No. 2   Fall 2010   
    • Holt Wilson, Hollylynne Lee, & Karen Hollebrands.  An Alternative Development of Measures of Center and Spread. pp. 6-11.
    • Karen Perry.  Graduate School: A Journey to be Remembered. pp. 12-13.
    • Donna Trick.  Milky Way Math.  pp. 14-15.
    • Tracie McLemore Salinas & LaDonna Brown.  A Wrong Assessment that was Somehow Just Right.  p. 16.
    • Puzzle Solutions
  • No. 1   Spring 2010   
    • Harold Reiter.  Julia Robinson Mathematics Festivals. pp. 5-6.
    • Carla Rodden.  The Wheels on the Bus. . .A Motivator for Learning About Apportionment.  pp. 7-12.
    • Puzzle Solutions

Volume 35

  • No. 2   Fall 2009   
    • April S. Collins. Hands-on Equations. p. 6.
    • Catherine Stein & Kerri Richardson. Using Spatial Reasoning to Enhance k-2 Number Sense. pp. 7-9.
    • Pamela R. Moses-Snipes. Mathematics Leadership Academy: Promoting Students' Awareness About Applications of Mathematics. pp. 10-14.
    • Puzzle Solutions
  • No. 1   Spring 2009   
    • Tracy Goodson-Espy. Opportunities to Engage Students in Problem-Solving: A North Carolina Connection to the Math Forum?s Problem of the Week Program. pp. 5-11.
    • Tom Tilton. High School Activity: Is This the One? p. 12.
    • Kimberly Wagner.  Teaching Subtraction of Fractions with Regrouping. pp. 13-15.
    • Tilton Worksheet

Volume 34

  • No. 2   Fall 2008
    • Vincent Snipes, Judith Reed, & Patricia Valdez. Addressing Equity Issues at Multiple Levels: Facilitating Equity in Mathematics Education. pp. 7-9.
    • Ashley Cullipher. Music in Mathematics. pp. 10-12.
    • Greg Harrell. Reminiscing, Problem Posing, and Problem Solving with Magic Cards. pp. 13-16.
    • Sarah Greenwald. Evelyn Boyd Granville: Complex Solutions to Real-Life Problems. pp. 17-21.
  • No. 1   Spring 2008
    • William C. Bauldry. Completing the Square Historically. pp. 5-8.
    • Rebecca S. Wills. The River Project. pp. 9-10.
    • Nancy Ruppert. Game Day. p. 11.
    • Solomon Willis. Complex Number Puzzles. p. 12.
    • Kimberly Smith Burton, Kimberly Young, & Stephanie Duncan. Discovering the Area of a Regular Polygon. pp. 13-16.

Volume 33

  • No. 2   Fall 2007
    • Susan Jones & Sumer Lerch.  Teaching with Technology - Two Teachers' Experiences. pp. 5-10.
    • Holly Peters Hirst. Sudoku - Serious Math? Yes! pp. 11-12.
    • Shelby Morge & Kathleen Lynch-Davis. AEP and the EOGs in North Carolina: What do These Assessments Reveal About Fourth- and Eighth-grade Students? Mathematical Achievement? pp. 21-25
  • No. 1   Spring 2007
    • Alfinio Flores. Algebra for a Princess. pp. 5-8.
    • Chris Moore. Cycles of Learning: A Constructivist Approach to Planning for inquiry-Based Differentiated Instruction. pp. 11-14.

Volume 32

  • No. 2   Fall 2006
    • Dan Schellenberg & Bill Bauldry. Mathematicians, Birthdays, Calendars, and a Student Project. p. 6.
    • John Staley, Patricia S. Moyer, & Donna R. Sterling. A Penny's Worth of Principles and Standards Using Scientific Notation. pp. 7-15.
    • Sarah J. Greenwald & Jill E. Thomley. Putting the Model in Mathematician Role Models. pp. 20-22.
  • No. 1   Spring 2006
    • Donna Godley. Ownership of Students? Ideas. pp. 7-10.
    • Natasha L. Mabe. Ideas on Advanced Functions and Modeling. pp. 11-14.
    • Lee V. Stiff & Lee Creighton. Adding and Subtracting Fractions: Is it How Much or How Many? pp. 15-19.
    • Patricia Carstensen, Bethany Hudnutt, & Kent Robertson. The Mathematics of Tipping Points. pp. 20-23.
    • Sarah J. Greenwald, Vicky Klima, & Katie Mawhinney. Marjorie Lee Browne: North Carolina Educator. pp. 28-32.

Volume 31

  • No. 2   Fall 2005
    • Cos D. Fi. Bite Sized Mathematics: The Case of the Radical. pp. 7-9.
    • Carrie S. Cutler. Knowing When to Which: Addressing the Calculator Quandary. pp. 10-12.
    • David K. Pugalee, Ian Brailsford, & Theresa Perez. Strategies to Support Mathematical Understanding of LEP Students. pp. 13-16.
  • No. 1   Spring 2005
    • Karan B. Smith. What do Dogs, Cats, Fire Hydrants, and Princesses Have to do With Geometry? pp. 7-10.
    • Jeffry L. Hirst & W. Hutch Sprunt. Venn Diagrams and Reasoning. pp. 11-16.

Volume 30

  • No. 2   Fall 2004
    • Leslie Ann Perry. Mathematics: How Sweet it is. pp. 5-7.
    • Jill T. Richie & Sarah J. Greenwald. Florence Nightingale, the Passionate Statistician. pp. 13-21.
    • Harold Reiter. Closed-Form, Recursion, and Mind-Reading: Defining Sequences by Various Means. pp. 23-25.
    • Laura Davis. Discovering Mathematics. pp. 31-35.
  • No. 1   Spring 2004
    • Lisa J. Embree. Charlotte’s Web and the County Fair: Learning about Making Change and the Value of Money. pp. 13-14.
    • Sarah J. Greenwald, Amy Ksir, & Lawrence H. Shirley. Thomas Fuller and his Calculation Ability. pp. 15-19

Volume 29

  • No. 2   Fall 2003
    • Laura Brader-Araje. Q-Tips, Spit Balls, and Unknown Creatures: Learning from our Students. pp. 8-9.
    • Sarah J. Greenwald & Mark C. Ginn. David Blackwell and Game Theory. pp. 12-18.
    • Nancy L. Hetrick & Gerald W. Saxe. The Human Side of Mathematics: Do Our Students Ever Get a Chance to See it? pp. 19-21
  • No. 1   Spring 2003
    • Gregory D. Foley & Deborah A. Crocker. The Words of Mathematics. pp. 8-10.
    • David E. Kullman. Stories about Story Problems. pp. 10-14.
    • William C. Bauldry. Cryptography in the Classroom. pp. 15-18
    • Sarah J. Greenwald & Edith Prentice Mendez. Hypatia, the First Known Woman Mathematician. pp. 19-24.

A Message From Our President

Karen McPherson
High School Mathematics Coach
Buncombe County Schools

You have the power to change the future of Mathematics Teaching in North Carolina.

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NCCTM Statement on Equitable Access to Quality Mathematics Instruction

Students need to experience mathematics in ways that allow them to be successful and that give them the power to change the world. This experience needs to be delivered with both excellence and equality while resonating with the lives of Black, Latinx, Indigenous, Asian, and all marginalized peoples. Racism cannot be tolerated, and we as teachers must be vigilant that we do not tolerate nor contribute to racism, bias, hate, or violence in our classrooms.

 Read More