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Davis, Anna A.; Joswick, Candace – Mathematics Teacher, 2018

The correct use of visual perspective is one of the main reasons that virtual reality environments and realistic works of art look lifelike. Geometric construction techniques used by artists to achieve an accurate perspective effect were developed during the Renaissance. With the rise of computer graphics, translating the geometric ideas of 600…

Descriptors: Mathematics Instruction, Computer Graphics, Computer Simulation, Teaching Methods

Ichinose, Cherie Lynn; Martinez-Cruz, Armando M. – Mathematics Teacher, 2018

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Common Core State Standards

Nirode, Wayne – Mathematics Teacher, 2018

Twenty years ago when the author was student teaching, he quickly learned what geometry teachers and researchers (e.g., Senk 1985) have long known: High school geometry students struggle with proof. Throughout his career, he has tried to create instructional materials to make proof more accessible to his students. From field-testing materials with…

Descriptors: Secondary School Mathematics, High Schools, Geometry, Mathematics Instruction

Thompson, David – Mathematics Teacher, 2018

For 500 years, dream catchers have been cultural symbols of intrigue worldwide. The most common folkloric design is a 12-point dream catcher. According to Native American legend, the first dream catcher was woven by a "spider woman" to catch the bad dreams of a chief's sick child. Once the bad dreams were caught, the chief's child was…

Descriptors: Geometry, Algebra, Mathematical Concepts, Folk Culture

Nirode, Wayne – Mathematics Teacher, 2018

When the author first started teaching twenty years ago, he thought that as long as he was using dynamic geometry software (DGS) for students to "discover" conjectures instead of them learning the conjectures from a lecture or the textbook, he was maximizing their learning potential because they were using technology. Over the years, he…

Descriptors: Geometry, Computer Software, Computer Assisted Instruction, Mathematics Instruction

Paoletti, Teo; Monahan, Ceire; Vishnubhotla, Madhavi – Mathematics Teacher, 2017

GeoGebra is a free tool that has the potential to change both how and what is taught in mathematics. GeoGebra allows teachers and students to explore various mathematical ideas either through the full applet (https://www.geogebra.org/graphing) or by sharing applets via GeoGebra's Materials site (https://www.geogebra. org/materials/). It has many…

Descriptors: Computer Oriented Programs, Mathematics Instruction, Learner Engagement, Geometry

Richardson, Janessa; Bachman, Rachel M. – Mathematics Teacher, 2017

This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…

Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Mathematical Logic

Jaqua, Kathy M. C. – Mathematics Teacher, 2017

The activity of snapping photographs to document all parts of daily life and sharing them with friends is the norm for many students. What if we could make mathematics as natural a part of daily life through "mathematical selfies"? The author's goal is to use students' love of selfies to help them see that mathematics is already part of…

Descriptors: Mathematics Instruction, Photography, Teaching Methods, Handheld Devices

Meagher, Michael S.; Edwards, Michael Todd; Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The article opens with a Geoboard Triangle Quest in this form: "How many noncongruent triangles can be constructed on a 4 × 4 geoboard? How do you know? Justify your answer with significant supporting work." The use of advanced digital technologies as tools for problem solving receives much attention in the methods classes if the…

Descriptors: Mathematics Instruction, Geometry, Technology Uses in Education, Educational Technology

Szydlik, Jennifer Earles; Parrott, Amy; Belnap, Jason Knight – Mathematics Teacher, 2016

Classroom culture is negotiated and established through both conversations and practices. Traditionally, teachers and researchers have focused primarily on the individual and social construction of mathematical content--that is, students' conceptual understanding and procedural skills--through mathematical actions and practices. This article…

Descriptors: Mathematics Instruction, Geometry, Discussion (Teaching Technique), Definitions

Cetner, Michelle – Mathematics Teacher, 2015

When thinking about student reasoning and sense making, teachers must consider the nature of tasks given to students along with how to plan to use the tasks in the classroom. Students should be presented with tasks in a way that encourages them to draw connections between algebraic and geometric concepts. This article focuses on the idea that it…

Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Algebra

Cupillari, Antonella – Mathematics Teacher, 2015

Practical problems that use mathematical concepts are among the highlights of any mathematics class, for better and for worse. Teachers are thrilled to show applications of new theoretical ideas, whereas most students dread "word problems." This article presents a sequence of three activities designed to get students to think about…

Descriptors: Mathematical Concepts, Word Problems (Mathematics), Mathematics Activities, Geometric Concepts

DeJarnette, Anna F.; Rosado Lausell, Sahid L.; González, Gloriana – Mathematics Teacher, 2015

How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because…

Descriptors: Geometry, Geometric Concepts, Task Analysis, Mathematics Activities

Hsiao, Joy – Mathematics Teacher, 2015

Paper folding, or origami in Japanese, is a traditional craft that has been enjoyed by both children and adults for hundreds of years. Mathematicians have long studied the mathematics of paper folding. They use square papers to construct mathematical shapes (for example, folding an equilateral triangle from a square paper or trisecting an angle),…

Descriptors: Handicrafts, Geometric Concepts, Geometry, Problem Solving

Harrow, Chris; Chin, Lillian – Mathematics Teacher, 2014

Exploration, innovation, proof: For students, teachers, and others who are curious, keeping an open mind and being ready to investigate unusual or unexpected properties will always lead to learning something new. Technology can further this process, allowing various behaviors to be analyzed that were previously memorized or poorly understood. This…

Descriptors: Educational Technology, Mathematics Instruction, Teaching Methods, Instructional Innovation

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