NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 11 results Save | Export
Peer reviewed Peer reviewed
Direct linkDirect link
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
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
PDF on ERIC Download full text
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