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Fostering mathematical understanding through visualization and exploration.

• A Column-Vector Geometric Interpretation of Linear Systems and Gaussian Elimination

  Humberto José Bortolossi; Luciana Prado Mouta Pena

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  pp. 27–36
• GeoGebra Visualizations of Eigenvalues, Eigenvectors, and Eigenspaces of Symmetric Matrices

  Günhan Caglayan

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  pp. 17–26
• A Digital Planisphere in GeoGebra

  Santiago Cerisola; Monica López García

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  pp. 1–16

Fostering mathematical understanding through visualization and exploration.

• On the Brocard Circle

  Manuel M. Aguilera; Joaquin G. Camana

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  pp. 35–44
• Derivatives and Approximations: The Case of f(x)=exp(x) and the Affine Approximation l(x)=x+1

  Humberto José Bortolossi; Luciana Prado Mouta Pena

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  pp. 12–17
• Using a Procedural Color Palette in GeoGebra

  Juan Carlos Ponce Campuzano

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  pp. 1–11
• Geometry of Equilateral Triangle Symmetries: A Mathematical Perspective for Teacher Training

  Paulo Vitor da Silva Santiago; Francisco Régis Vieira Alves; Maria José Costa dos Santos

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  pp. 27–34
• A Visual Approach to Group Homomorphisms Using GeoGebra

  Renata Teófilo de Sousa; Francisco Régis Vieira Alves; Ana Paula Florêncio Aires

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  pp. 18–26

Fostering mathematical understanding through visualization and exploration.

• Expanding the Semiotic Scope of GeoGebra by Teaching It to Speak

  Humberto José Bortolossi; Dirce Uesu Pesco; Wanderley Moura Rezende

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  pp. 1–8
• Modeling the Gyroid in GeoGebra

  Lingguo Bu

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  pp. 9–24
• Rate of Change: Degrees vs. Radians

  Craig Cullen; Lawrence Ssebaggala; Óscar Chávez

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  pp. 25–31
• A Dynamic Model to Engage Students in the Triangle's Inherent Similarity

  Richard Kaufman; William Jackson

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  pp. 32–41

Fostering mathematical understanding through visualization and exploration.

• Projective Geometry: A Historical Overview and Perspectives for Education

  Lucas Cunha Bastos; Francisco Régis Vieira Alves; Paulo César Cavalcante de Oliveira; Renata Teófilo de Sousa

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  pp. 62–70
• Origami Paper Cup: From Paper Folding to Data Analysis and Algebraic Explorations

  Lingguo Bu; Harvey Henson

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  pp. 15–25
• Tracing Closed Curves with Epicycles: A Fun Application of the Discrete Fourier Transform

  Juan Carlos Ponce Campuzano

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  pp. 1–14
• Building an Analog Clock with Complex Numbers

  David Glassmeyer; Binita Patel

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  pp. 26–34
• Challenging Misconceptions about the Coefficient of Determination (R²) with a Dynamic GeoGebra Applet

  Michael Singer Meagher; Michael Todd Edwards; Asli Özgün-Koca

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  pp. 48–61
• Filling Vessels: An Exciting Way to Investigate Functional Dependencies

  Laura Sergi; Stefan Götz

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  pp. 35–47

Fostering mathematical understanding through visualization and exploration.

• Fair Share of Regular Polygon Pizzas

  Humberto José Bortolossi

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  pp. 45–46
• Trigonometric Interpolation Using the Discrete Fourier Transform

  Juan Carlos Ponce Campuzano

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  pp. 1–13
• Extending, Formulating, and Refining Conjectures with GeoGebra: The Pentagon and Its Medial Pentagon

  José Contreras

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  pp. 20–28
• A Celestial Sphere Model in GeoGebra

  Mónica López García; Santiago Cerisola

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  pp. 29–44
• The Arithmetic Average of Altitudes From Vertices of a Parallelogram to a Straight Line: A Sketch and Proof

  Moshe Stupel; David Fraivert

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  pp. 14–19

Fostering mathematical understanding through visualization and exploration.

• Volume Invariant Cube Twisting: GeoGebra Modeling and Algebraic Explorations

  Lingguo Bu

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  pp. 11–21
• On Coloring Different Objects of the Same Class

  Juan Carlos Ponce Campuzano

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  pp. 31–35
• Layering: Showing and Hiding Objects

  Todd Edwards; James Quinlan

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  pp. 8–10
• Examining Possible LU Decompositions

  Ly Jacky Nhiayi; Tuyetdong Phan-Yamada

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  pp. 1–7
• On an Inequality Between Side Lengths of Triangles

  Ruti Segal; Moshe Stupel

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  pp. 22–24
• From Semi-Proof to Proof: Motivating Deductive Thinking Through Inductive Exploration

  Moshe Stupel; David Ben-Chaim

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  pp. 36–40

Fostering mathematical understanding through creative investigation.

• Modeling an Optimal Trajectory for a Certain Minigolf Station

  Christoph Ableitinger

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  pp. 39–45
• Modeling the Paths of the Sun Using GeoGebra

  Santiago Cerisola; Azahara López Romero

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  pp. 46–57
• Proof Without Words: Fermat-Torricelli Theorem

  Jay M Jahangiri; Moshe Stupel

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  pp. 66–68
• Exploring and Solving Feynman's Triangle Through Multiple Approaches

  Drew Michael Lazar; Kathryn Shafer

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  pp. 15–34
• Achievement of Dual Language Learners in the Study of Nets

  Ziham Zawawi Mazlan; Chew Cheng Meng; Muhammad Faizul bin Abdul Hamid

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  pp. 69–93
• Some Activities in the Style of "Proof without Words" Related to Altitudes in a Triangle

  Victor Oxman; Moshe Stupel

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  pp. 35–38
• Creating a Digital Tape Diagram

  S. Asli Ozgun-Koca; Michael Todd Edwards; Michael Meagher

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  pp. 1–14
• Locus of Critical Points for Some Polynomial

  Haotian Xie; Zheng Yang

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  pp. 58–65

• GeoGebra Simulations of the Monty Hall Game Show

  Gunhan Caglayan

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• Using Action-Consequence-Reflection GeoGebra Activities To Make Math Stick

  Karen D. Campe

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• Teaching Statistics with GeoGebra

  Tuyetdong Phan-Yamada; Sui Wing Man

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• Engaging Students with Linear Functions and GeoGebra: An Action Research Study

  Kristen L Soots; Kathryn G Shafer

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• Transformations and Complex Numbers

  Roberto C Soto; Armando M. Martinez-Cruz

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• Capabilities and Contributions of the Dynamic Math Software, GeoGebra: A Review

  Yismaw Abera Wassie; Gurju Awgichew Zergaw

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• Graph Theory in GeoGebra

  Trevor Kenneth Williams; David E. Brown

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Fostering the pursuit of mathematical understanding through creative investigation.

• Models in Demography

  Christoph Ableitinger

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• Function Fitting to Develop Class Projects: Alcohol Awareness Models in College Algebra

  Thomas Edmond Cooper

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• Hinged Tilings

  Alfinio Flores

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• Exploring Euclidean and Taxicab Geometry with GeoGebra

  Erhan Selcuk Haciomeroglu; Janet B Andreasen

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• Exploration of the Sierpinski Triangle with GeoGebra

  Jenna Odom; Taylor Wood

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• "Messing Around" in GeoGebra: Online Inquiry Through Apps and Games

  Forest Fisher

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• GeoGebra Tools for the Poincaré Disk

  Joseph Manthey; Kim Ward; Ekaterina Lioutikova; Hong Zhou

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• Visualizing Functions of Complex Numbers Using GeoGebra

  Albert Navetta

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• A Geometric Interpretation of Complex Zeros of Quadratic Functions

  Joseph Pastore; Alan Sultan

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• Using the Tail of a Sequence to Explore Its Limit

  James Quinlan

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• Surviving On Mars With GeoGebra

  Lindsey States; Jenna Odom

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Fostering the pursuit of mathematical understanding through creative investigation.

• Modeling a Total Solar Eclipse Using GeoGebra

  Lingguo Bu; Harvey Henson

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• Euclid, the Game! for Virtual Mathematics Teams

  Joanne Caniglia

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• Geometric Translations: An Interactive Approach Based on Students' Concept Images

  Alfinio Flores; H. Bahadir Yanik

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• Exploring Conservation of Momentum in Inelastic and Elastic Collisions and Explosions

  Kate Hruby; James Vesenka

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• Hidden Properties of the Equilateral Triangle

  Moshe Stupel; Ruth Segal; Alfinio Flores

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• Intersection of Polyhedrons and a Plane with GeoGebra

  Bistra Tsareva; Boyan Zlatanov

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• Using GeoGebra to Present Kinetic Data and Ligand Binding Data to a Biochemistry Class

  George Dombi; John Golden

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• Fostering Growth in Teacher Content Knowledge Through the Construction of Sketches for Students

  Michael Todd Edwards

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• Visualizing Solids of Revolution in GeoGebra

  Douglas Hoffman

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• An Informal Approach to Linear Least Squares

  James Quinlan

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Fostering the pursuit of mathematical understanding through creative investigation.

• Exploring Cyclic Quadrilaterals with Perpendicular Diagonals

  Alfinio Flores

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• Fostering Understanding of Monte Carlo Simulations for Estimating Using Dynamic GeoGebra Applets

  Tanja Van Hecke

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• Exploring Lake Erie Algae Growth in an Algebra Class Using GeoGebra

  Marie Nabbout-Cheiban

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Fostering the pursuit of mathematical understanding through creative investigation.

• Brownie Points

  Chris Bolognese

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• Where's the Firehouse?

  Ian Callon

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• Building Dynamic Fraction Bar Models with GeoGebra

  Thomas Edmond Cooper

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• Artistic Symmetry: Finding Richness in Tattoo Design

  Lisa Foos

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• The Parabola as a Locus: Paving the Way to the CCSS

  Armando Moises Martinez-Cruz; Jose Natividad Contreras

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• The Parabola as the Locus of the Product of Two Lines: Building Functions from Functions

  Armando Moises Martinez-Cruz; Jose Natividad Contreras

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• Systems of Inequalities: Using GeoGebra to Plan Your Party

  Karen Ann Noyes

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Fostering the pursuit of mathematical understanding through creative investigation.

• GeoGebra as a Tool to Explore, Conjecture, Verify, Justify, and Prove: The Case of a Circle

  Yip-Cheung Chan

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• Study of Functions in a GeoGebra Environment During "Learning Week"

  Antonio Criscuolo; Adriana Gnudi

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• GeoGebra in Financial Education

  Roman Hasek; Vladimira Petraskova

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• Evangelizing Beyond Early Adopters: Developing Materials to Train Teachers in the Use of GeoGebra

  Mike May

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• Investigating the Generalization of a Special Property of Cubic Polynomials to Higher Degree Polynomials

  David Miller

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• GeoGebra as a Frontend to Generating Graphics for LaTeX

  James Quinlan

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• Volume and Area Ratios with GeoGebra

  Libuse Samkova

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• Using GeoGebra to Develop Primary School Students' Understanding of Reflection

  Xenia Xistouri; Demetra Pitta-Pantazi

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Fostering the pursuit of mathematical understanding through creative investigation.

• GeoGebra as a motivational tool for teaching and learning in Slovakia

  Ján Gunčaga; Janka Majherová

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  pp. 45–48
• GeoGebra Kit in Geometry at Secondary Stage

  Praveen Kumar Chaurasia

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• A Laboratory Guide for Elementary Geometry Using GeoGebra

  Jack D. Gittinger

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• Numerical Analysis of a Planar Motion; GeoGebra as a Tool of Investigation

  Roman Hasek

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• GeoGebra with an Interactive Help System Generates Abductive Argumentation During Proving Process

  Danh Nam Nguyen

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• Birth of a Virtual Manipulative

  S. Asli Ozgun-Koca; Michael Meagher

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• Dynamic Illustration of Some Fibonacci Identities

  Amitava Saraswati; Bijendra Singh; Suman Jain

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• Computer as the Sole Drawing Tool and School Results in Geometry

  Jiri Vanicek; Josef Lombart

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