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Stuart, Rick; Chedister, Matt – Mathematics Teacher, 2019

While students were constructing the concept of rates of change, linear relationships, and nonlinear relationships in a first-year algebra class, the wanted to build a task that allowed them to increase their understanding of covariation, that is, how two variables change in relation to each other. Research has shown that students who have built…

Descriptors: Correlation, Algebra, Mathematics Instruction, Mathematical Concepts

Mooney, Eileen B. – Mathematics Teacher, 2018

Top-down implementation of technology is one of the most pervasive phenomena of the last couple of decades in educational history. It is the subject of many books, articles, and blog posts on how to fix schools or why educational technology is not working in the classroom. The idea of providing teachers with technology so they can make students…

Descriptors: Educational Technology, Technology Uses in Education, Teaching Methods, Mathematics Instruction

Clinch, Adam – Mathematics Teacher, 2018

One of the foundational topics in first-year algebra concerns the concept of factoring. This article discusses an alternative strategy for factoring quadratics of the form ax[superscript 2] + bx + c, known as "factoring for roots." This strategy enables students to extend the knowledge they used when the leading coefficient was 1 and…

Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Problem Solving

Conner, Kimberly – Mathematics Teacher, 2015

This article is based on the author's experiences as a second-year teacher at a small private school teaching all sections of Geometry and Algebra 2. Working with the same students in both courses, the author was aware of each one's levels of retention and execution of Algebra 1 concepts before the beginning of the year. The author often noticed…

Descriptors: Algebra, Private Schools, Geometry, Mathematics Skills

Wendt, Ted; Murphy, Kevin – Mathematics Teacher, 2015

According to a 2012 study from the Program for International Student Assessment, twenty-nine out of sixty-five participating nations and other jurisdictions outperformed the United States in mathematics by a statistically significant margin (up from twenty-three in 2009) (Heitin 2013). To improve students' mathematical understanding, the authors…

Descriptors: Mathematics Instruction, Mathematics Achievement, Common Core State Standards, Mathematics Skills

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

Allen, Kasi C. – Mathematics Teacher, 2013

Today, beginning algebra in the high school setting is associated more with remediation than pride. Students enroll by mandate and attend under duress. Class rosters in this "graveyard" course, as it is often referred to, include sophomores and juniors who are attempting the course for the second or third time. Even the ninth graders…

Descriptors: Algebra, Mathematics Instruction, High School Students, Secondary School Mathematics

Zelkowski, Jeremy S. – Mathematics Teacher, 2013

Principles and Standards for School Mathematics (NCTM 2000) states, "Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning." The focus on reasoning and sense making with technology in the lesson presented in this article will enable students to do more…

Descriptors: Mathematics Instruction, Educational Technology, Mathematical Concepts, Teaching Methods

Bu, Lingguo – Mathematics Teacher, 2013

Many preservice teachers come into teacher education programs with a rule-based view of mathematics, a view that is to a large extent indicative of their previous school experiences. In teaching preservice elementary school teachers, this author has used his instrumental understanding as the starting point for rich discussions about the…

Descriptors: Preservice Teachers, Student Teacher Attitudes, Mathematics Instruction, Elementary School Mathematics

Zullo, Holly S. – Mathematics Teacher, 2011

Card tricks based on mathematical principles can be a great way to get students interested in exploring some important mathematical ideas. In this article, the author discusses a simple spreadsheet implementation that shows students why the card trick works and allows them to explore several variations. As an added bonus, students are introduced…

Descriptors: Mathematical Concepts, Teaching Methods, Mathematics Activities, Mathematics Instruction

Hubbard, Miles J. – Mathematics Teacher, 2007

Students manipulate data algebraically, and statistically to create models applied to a falling ball. They also borrow tools from arithmetic progressions to examine the relationship between the velocity and the distance the ball falls. (Contains 2 tables and 5 figures.)

Descriptors: Motion, Mathematical Concepts, Models, Mathematics Skills

Milou, Eric; Schiffman, Jay L. – Mathematics Teacher, 2007

In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed…

Descriptors: Probability, Discovery Learning, Mathematics Instruction, Teacher Education

Manouchehri, Azita – Mathematics Teacher, 2007

"Principles and Standards for School Mathematics" (NCTM 2000) proposes that mathematics instruction provide opportunities for students to engage in mathematical inquiry and in meaning-making through discourse. Mathematics teachers are encouraged to build on student discoveries in designing subsequent instruction. In this article, the author…

Descriptors: Mathematics Instruction, Inquiry, Mathematics Skills, Mathematical Concepts

Rubel, Laurie H.; Zolkower, Betina A. – Mathematics Teacher, 2007

The National Council of Teachers of Mathematics (2000) recommends that students at all grade levels be provided with instructional programs that enable them to "create and use representations to organize, record, and communicate mathematical ideas; select, apply, and translate among mathematical representations to solve problems; and use…

Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Mathematical Concepts

Peer reviewed

DeTemple, Duane W. – Mathematics Teacher, 1990

Describes how to get equations for parabolas, ellipses, and hyperbolas from conic sections. Provides diagrams both in perspective and in cross-section for each case. (YP)

Descriptors: Equations (Mathematics), Geometric Concepts, Geometric Constructions, Geometry

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