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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

Weber, Eric; Ellis, Amy; Kulow, Torrey; Ozgur, Zekiye – Mathematics Teacher, 2014

Encouraging students to reason with quantitative relationships can help them develop, understand, and explore mathematical models of real-world phenomena. Through two examples--modeling the motion of a speeding car and the growth of a Jactus plant--this article describes how teachers can use six practical tips to help students develop quantitative…

Descriptors: Mathematical Aptitude, Mathematical Models, Problem Based Learning, Motion

Paoletti, Teo J. – Mathematics Teacher, 2013

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…

Descriptors: Mathematics Instruction, Relevance (Education), Algebra, Mathematics Skills

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

Gonzalez, Gloriana; DeJarnette, Anna F. – Mathematics Teacher, 2013

What does problem-based instruction do for students and teachers? The open-ended geometry problem presented in this article, along with examples of students' work on the problem, illustrates how problem-based instruction can help students develop their mathematical proficiency. Recent studies have shown that students who experience problem-based…

Descriptors: Mathematical Logic, Mathematics Instruction, Geometry, Geometric Concepts

Harper, Suzanne R.; Edwards, Michael Todd – Mathematics Teacher, 2011

Mathematics educators frequently extol the virtues of inquiry-based instruction to classroom teachers. Although research suggests that inquiry benefits learners by allowing them to make sense of the mathematics they encounter, particularly through discourse with peers, to assume that all (or even most) teachers successfully create and implement…

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

CadwalladerOlsker, Todd D. – Mathematics Teacher, 2011

Bayes's theorem is notorious for being a difficult topic to learn and to teach. Problems involving Bayes's theorem (either implicitly or explicitly) generally involve calculations based on two or more given probabilities and their complements. Further, a correct solution depends on students' ability to interpret the problem correctly. Most people…

Descriptors: Critical Thinking, Probability, Mathematical Logic, Mathematics Skills

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

Stockero, Shari L.; Peterson, Blake E.; Leatham, Keith R.; Van Zoest, Laura R. – Mathematics Teacher, 2014

Instruction that meaningfully incorporates students' mathematical thinking is widely valued within the mathematics education community (NCTM 2000; Sherin, Louis, and Mendez 2000; Stein et al. 2008). Although being responsive to student thinking is important, not all student thinking has the same potential to support mathematical learning.…

Descriptors: Mathematics Instruction, Thinking Skills, Mathematics Skills, Mathematical Logic

Kader, Gary D.; Franklin, Christine A. – Mathematics Teacher, 2008

This article describes an activity for developing the notion of association between two quantitative variables. By exploring a collection of scatter plots, the authors propose a nonstandard "intuitive" measure of association; and by examining properties of this measure, they develop the more standard measure, Pearson's Correlation Coefficient. The…

Descriptors: Correlation, Mathematics Instruction, Measurement Techniques, Statistics

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