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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

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

Dibbs, Rebecca; Beach, Janessa; Rios, Daniel – Mathematics Teacher, 2018

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

Descriptors: High School Freshmen, Grade 9, Mathematics Education, Mathematics Activities

Quintanilla, John A. – Mathematics Teacher, 2017

Exploration with spreadsheets and reliance on previous skills can lead students to determine the line of best fit. To perform linear regression on a set of data, students in Algebra 2 (or, in principle, Algebra 1) do not have to settle for using the mysterious "black box" of their graphing calculators (or other classroom technologies).…

Descriptors: Algebra, Mathematics Instruction, Regression (Statistics), Spreadsheets

Goldenberg, E. Paul; Carter, Cynthia J.; Mark, June; Nikula, Johannah; Spencer, Deborah B. – Mathematics Teacher, 2017

The Common Core State Standards (CCSSI 2010) for Mathematical Practice have relevance even for those not in CCSS states because they describe the habits of mind that mathematicians--professionals as well as proficient school-age learners--use when doing mathematics. They provide a language to discuss aspects of mathematical practice that are of…

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

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

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

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

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

Turton, Roger W. – Mathematics Teacher, 2007

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

Descriptors: Probability, Algebra, Problem Solving, Monte Carlo Methods

Peer reviewed

Demana, Franklin; Waits, Bert K. – Mathematics Teacher, 1990

Discussed are assumptions about technology and classroom equipment, teaching methods, getting started, pitfalls, and the role of algebra and calculus. Suggestions are given for implementing the spirit and vision of the standards. (YP)

Descriptors: Algebra, Computer Uses in Education, Educational Technology, Graphing Calculators

Peer reviewed

Ulep, Soledad A. – Mathematics Teacher, 1990

Discusses solving inequality problems involving linear programing. Describes the usual and alternative approaches. Presents an intuitive approach for finding a feasible solution by maximizing the objective function. (YP)

Descriptors: Algebra, Graphs, Inequality (Mathematics), Mathematical Formulas