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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
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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
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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
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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
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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
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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