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Hernández, Maria L.; Levy, Rachel; Felton-Koestler, Mathew D.; Zbiek, Rose Mary – Mathematics Teacher, 2016

In 2015, mathematics leaders and instructors from the Society for Industrial and Applied Mathematics (SIAM) and the Consortium for Mathematics and Its Applications (COMAP), with input from NCTM, came together to write the "Guidelines for Assessment and Instruction in Mathematical Modeling Education" (GAIMME) report as a resource for…

Descriptors: Mathematical Models, Mathematics Instruction, Secondary School Mathematics, Mathematics Teachers

Gates, Miriam; Cordner, Tracy; Kerins, Bowen; Cuoco, Al; Badertscher, Eden; Burrill, Gail – Mathematics Teacher, 2016

The Common Core State Standards for Mathematical Practice (CCSSI 2010) elevate the ways of thinking used to create mathematical results to the same level of importance as the results themselves. These mathematical habits of mind (MHoM), or "specialized ways of approaching mathematical problems and thinking about mathematical concepts that…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematical Concepts, Mathematics

Ponce, Gregorio A.; Tuba, Imre – Mathematics Teacher, 2015

New strategies can ignite teachers' imagination to create new lessons or adapt lessons created by others. In this article, the authors present the experience of an algebra teacher and his students solving linear and literal equations and explain how the use of ideas found in past NCTM journals helped bring this lesson to life. The…

Descriptors: Equations (Mathematics), Instructional Innovation, Teaching Methods, Creative Teaching

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

Galluzzo, Benjamin J.; McGivney-Burelle, Jean; Wagstrom, Rikki B. – Mathematics Teacher, 2016

Human beings are having a profound impact on the environment. The opportunity to investigate this timely issue during one or two class periods gives algebra and precalculus students insight into a sustainability topic of great international concern--carbon footprints. Students use mathematical thinking in matters that are pertinent to their…

Descriptors: Mathematics Instruction, Algebra, Mathematical Logic, Relevance (Education)

Paoletti, Teo; Monahan, Ceire; Vishnubhotla, Madhavi – Mathematics Teacher, 2017

GeoGebra is a free tool that has the potential to change both how and what is taught in mathematics. GeoGebra allows teachers and students to explore various mathematical ideas either through the full applet (https://www.geogebra.org/graphing) or by sharing applets via GeoGebra's Materials site (https://www.geogebra. org/materials/). It has many…

Descriptors: Computer Oriented Programs, Mathematics Instruction, Learner Engagement, Geometry

Popelka, Susan R.; Langlois, Joshua – Mathematics Teacher, 2018

"Flatland: A Romance of Many Dimensions" is an 1884 novella written by English schoolmaster Edwin Abbott. He describes what it would be like to live in a two-dimensional (2D) world--Flatland. It is fascinating reading that underscores the challenge of teaching three-dimensional (3D) mathematics using 2D tools. Real-world applications of…

Descriptors: High School Students, Secondary School Mathematics, Calculus, Computer Uses in Education

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

Smith, Christopher E.; Paré, Jana N. – Mathematics Teacher, 2016

While one author was reading "The Simpsons and Their Mathematical Secrets by Simon Singh" (2013) in preparation for a presentation, the second author asked what in the book would be interesting to discuss. The topic of Klein bottles was on the first author's mind at that moment, so he tried to describe and explain the form to her--a real…

Descriptors: Mathematics Instruction, Teaching Methods, Art Education, Interdisciplinary Approach

Jacobson, Erik – Mathematics Teacher, 2014

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

Descriptors: Mathematics Instruction, Mathematical Models, Mathematical Logic, Teaching Methods

Harper, Suzanne R.; Cox, Dana C. – Mathematics Teacher, 2017

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

Descriptors: Problem Solving, Mathematics Instruction, Student Motivation, Creativity

Raje, Sonali; Krach, Michael; Kaplan, Gail – Mathematics Teacher, 2013

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…

Descriptors: College School Cooperation, Mathematics Instruction, Secondary School Mathematics, Problem Solving

Madden, Sandra R. – Mathematics Teacher, 2010

Technology use in mathematics often involves either exploratory or expressive modeling. When using exploratory models, students use technology to investigate a premade expert model of some phenomena. When creating expressive models, students have greater flexibility for constructing their own model for investigation using objects and mechanisms…

Descriptors: Secondary School Mathematics, Curriculum Development, Graduate Students, Mathematics Teachers

DiVito, Arthur N. – Mathematics Teacher, 2018

Mathematics has been taught throughout history without much more than a straightedge, a compass, and an abacus. So there is little question that all the major concepts of mathematics can be delivered without the aid of modern technology. But clearly, just the time-saving aspect of using technology can greatly enhance the art of teaching. In this…

Descriptors: Educational Technology, Technology Uses in Education, Mathematics Instruction, Computer Software

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