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Edwards, Thomas G.; Chelst, Kenneth R. – Mathematics Teacher, 2019

While tutoring his granddaughter in second-year algebra recently, the second author lamented that every textbook he could find expresses the quadratic formula as probably the most common form of the formula. What troubled him is that this form hides the meaning of the various components of the equation. Indeed, the meaning was obscured by the…

Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods

Stegall, Joanna B.; Malloy, Jacquelynn A. – Mathematics Teacher, 2019

The ties between literacy and numeracy exist in the development of vocabulary and language for understanding mathematical concepts. Research indicates that explicit instruction in mathematics vocabulary supports success with mathematics problem solving (Biemiller 2009; Pierce and Fontaine 2009; Rubenstein and Thompson 2002) for native…

Descriptors: Misconceptions, Mathematics Instruction, Algebra, Mathematics

Tan, Verily; Nicholas, Celeste; Scribner, J. Adam; Francis, Dionne Cross – Technology and Engineering Teacher, 2019

With the introduction of "Next Generation Science Standards" ("NGSS"), teachers have been called to find meaningful and engaging ways to teach science content while incorporating engineering practices and, to a lesser extent, computing and computational thinking. The task becomes even more complex when they also have to…

Descriptors: Interdisciplinary Approach, Teaching Methods, Standards, Science Instruction

Mohr, Doris, Ed.; Walcott, Crystal, Ed.; Kloosterman, Peter, Ed. – National Council of Teachers of Mathematics, 2019

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

Descriptors: Problem Based Learning, Test Items, Elementary School Mathematics, Middle School Mathematics

Teuscher, Dawn; Palsky, Kylie; Palfreyman, Charlie Y. – Mathematics Teacher, 2018

The goal of this article is to raise questions that will promote discussions among secondary mathematics teachers about the concept of inverse functions and how to motivate a more conceptual understanding of them in their classrooms. The authors share data to answer the following questions: (1) What meanings of inverse functions do high school…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts, Teaching Methods

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

Davis, Anna A.; Joswick, Candace – Mathematics Teacher, 2018

The correct use of visual perspective is one of the main reasons that virtual reality environments and realistic works of art look lifelike. Geometric construction techniques used by artists to achieve an accurate perspective effect were developed during the Renaissance. With the rise of computer graphics, translating the geometric ideas of 600…

Descriptors: Mathematics Instruction, Computer Graphics, Computer Simulation, Teaching Methods

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

Eddy, Colleen M.; Pratt, Sarah S.; Green, Cheyenne N. – Mathematics Teacher, 2018

Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…

Descriptors: Maps, Mathematics Instruction, Mathematical Concepts, Inquiry

Ichinose, Cherie Lynn; Martinez-Cruz, Armando M. – Mathematics Teacher, 2018

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Common Core State Standards

Adams, Caleb L. – Mathematics Teacher, 2018

Polynomials with rational roots and extrema may be difficult to create. Although techniques for solving cubic polynomials exist, students struggle with solutions that are in a complicated format. Presented in this article is a way instructors may wish to introduce the topics of roots and critical numbers of polynomial functions in calculus. In a…

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

Goodman, Christie L., Ed. – Intercultural Development Research Association, 2018

The "IDRA Newsletter" serves as a vehicle for communication with educators, school board members, decision-makers, parents, and the general public concerning the educational needs of all children in Texas and across the United States. The theme of this issue is "Rejecting a Return to Tracking." Articles include: (1) Getting it…

Descriptors: College Preparation, Educational Quality, Equal Education, College Bound Students

Goodman, Christie L., Ed. – Intercultural Development Research Association, 2018

The "IDRA Newsletter" serves as a vehicle for communication with educators, school board members, decision-makers, parents, and the general public concerning the educational needs of all children in Texas and across the United States. The theme of this issue is "College Preparation." Contents include: (1) Texas Public School…

Descriptors: High School Students, College Preparation, Student Attrition, Public Schools

Lowe, James; Carter, Merilyn; Cooper, Tom – Australian Mathematics Teacher, 2018

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

Descriptors: Mathematics Instruction, Mathematical Models, Algebra, Mathematics Teachers