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Pope, Derek – Mathematics Teacher, 2018

The author shares the lesson that he used to introduce the quadratic unit to students in an extended second-year algebra class, demonstrate why it was appropriate for his struggling learners, and discuss possible future modifications to this lesson.

Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Secondary School Mathematics

DiVito, Arthur N. – Mathematics Teacher, 2018

Mathematics has been taught throughout history without much more than a straightedge, a compass, and an abacus. So there is little question that all the major concepts of mathematics can be delivered without the aid of modern technology. But clearly, just the time-saving aspect of using technology can greatly enhance the art of teaching. In this…

Descriptors: Educational Technology, Technology Uses in Education, Mathematics Instruction, Computer Software

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

Nabbout-Cheiban, Marie; Fisher, Forest; Edwards, Michael Todd – Mathematics Teacher, 2017

The Common Core State Standards for Mathematics envisions data analysis as a key component of K-grade 12 mathematics instruction with statistics introduced in the early grades. Nonetheless, deficiencies in statistical learning persist throughout elementary school and beyond. Too often, mathematics teachers lack the statistical knowledge for…

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

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

Wagner, Jennifer; Sharp, Janet – Mathematics Teacher, 2017

Calculus, perhaps more than other areas of mathematics, has a reputation for being steeped with procedures. In fact, through the years, it has been noticed of many students getting caught in the trap of trying to memorize algorithms and rules without developing associated concept knowledge. Specifically, students often struggle with the…

Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Concept Formation

McCulloch, Allison W.; Whitehead, Ashley; Lovett, Jennifer N.; Whitley, Blake – Mathematics Teacher, 2017

Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…

Descriptors: Mathematics Instruction, Audio Equipment, Textbooks, Word Problems (Mathematics)

Harper, Suzanne R.; Cox, Dana C. – Mathematics Teacher, 2017

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

Descriptors: Problem Solving, Mathematics Instruction, Student Motivation, Creativity

Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Mathematical Concepts

Koyunkaya, Melike Yigit; Kastberg, Signe; Quinlan, James; Edwards, Michael Todd; Keiser, Jane – Mathematics Teacher, 2015

Right triangles play a significant role in mathematics. In this favorite lesson, the authors help students understand variant and invariant properties by considering relationships among angle measures and side lengths in right triangles. Students explore these relationships using interactive mathematics software, changing one angle and observing…

Descriptors: Mathematics Instruction, Geometric Concepts, Computer Software, Mathematics Activities

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

Webel, Corey; Otten, Samuel – Mathematics Teacher, 2015

In October 2014, an interesting new app became freely available in the Apple Store®. It is called PhotoMath®: (1) Hold a phone or tablet up to a mathematics problem in a textbook; (2) The app shows the answer to the problem; and (3) Select Steps to see the step-by-step process for getting from the problem to the solution. The app works for simple…

Descriptors: Mathematics Education, Computer Software, Computer Oriented Programs, Handheld Devices

Peters, Jehu; Metz, Don – Mathematics Teacher, 2015

Children of the Earth High School in Winnipeg, Manitoba, is a school dedicated to incorporating Aboriginal perspectives into all areas of the Manitoba curriculum and is attended by an almost exclusive Aboriginal population. Many of these students come from a First Nations community and are related to others who come from such communities, the…

Descriptors: Foreign Countries, High School Students, Canada Natives, Interpersonal Relationship

Trocki, Aaron – Mathematics Teacher, 2014

The advent of dynamic geometry software has changed the way students draw, construct, and measure by using virtual tools instead of or along with physical tools. Use of technology in general and of dynamic geometry in particular has gained traction in mathematics education, as evidenced in the Common Core State Standards for Mathematics (CCSSI…

Descriptors: Secondary School Mathematics, High School Students, Geometry, Technology Uses in Education

Strayer, Jeremy F. – Mathematics Teacher, 2013

Statistical studies are referenced in the news every day, so frequently that people are sometimes skeptical of reported results. Often, no matter how large a sample size researchers use in their studies, people believe that the sample size is too small to make broad generalizations. The tasks presented in this article use simulations of repeated…

Descriptors: Sampling, Sample Size, Research Methodology, Statistical Analysis