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Izard, Blair – Mathematics Teacher, 2018

Imagine a math classroom that recognizes the power of mathematics and uses it as a tool to understand the world so that the mathematics can enjoin a larger conversation. What is it like to live on a minimum wage? How is wealth distributed throughout the country or world? When will a country first experience a shortage of food? Mathematics…

Descriptors: Civil Rights, Mathematics Instruction, Algebra, Models

Shriver, Janet; Willard, Teri; McDaniel, Mandy – Mathematics Teacher, 2017

In the set of fractal activities described in this article, students will accomplish much more than just creating a fun set of cards that simply resemble an art project. Goals of this activity, designed for an algebra 1 class, are to encourage students to generate data, look for and analyze patterns, and create their own models--all from a set of…

Descriptors: Mathematics Instruction, Learning Activities, Algebra, Models

Gunter, Devon – Mathematics Teacher, 2016

It is no easy feat to engage young people with abstract material as well as push them to greater depths of understanding. Add in the extra pressures of curriculum expectations and standards and the problem is exacerbated. Projects designed around standards and having multiple entry points clearly offer students the best opportunity to engage with…

Descriptors: Algebra, Calculus, Student Projects, Motion

Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Mathematical Concepts

Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa – Mathematics Teacher, 2014

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Descriptors: Algebra, Mathematics Education, Mathematics Instruction, Mathematical Applications

Colton, Connie; Smith, Wendy M. – Mathematics Teacher, 2014

The Common Core State Standards for Mathematics (CCSSI 2010) asks students in as early as fourth grade to solve word problems using equations with variables. Equations studied at this level generate a single solution, such as the equation x + 10 = 25. For students in fifth grade, the Common Core standard for algebraic thinking expects them to…

Descriptors: Equations (Mathematics), Mathematics Instruction, Algebra, Word Problems (Mathematics)

Tabor, Catherine – Mathematics Teacher, 2014

Inclusion and differentiation--hallmarks of the current educational system--require a paradigm shift in the way that educators run their classrooms. This article enumerates the need for techno-kinesthetic, visually based activities and offers an example of a calculator-based programming activity that addresses that need. After discussing the use…

Descriptors: Mathematics Instruction, Calculators, Teaching Methods, Learning Modalities

Kirwan, J. Vince; Tobias, Jennifer M. – Mathematics Teacher, 2014

To understand multiple representations in algebra, students must be able to describe relationships through a variety of formats, such as graphs, tables, pictures, and equations. NCTM indicates that varied representations are "essential elements in supporting students' understanding of mathematical concepts and relationships" (NCTM…

Descriptors: Mathematics Instruction, Algebra, Graphs, Tables (Data)

Wallace-Gomez, Patricia – Mathematics Teacher, 2013

After a unit on the rules for positive and negative numbers and the order of operations for evaluating algebraic expressions, many students believe that they understand these principles well enough, but they really do not. They clearly need more practice, but not more of the same kind of drill. Wallace-Gomez provides three graphing activities that…

Descriptors: Algebra, Mathematics Instruction, Graphs, Mathematical Concepts

Nagle, Courtney R.; Moore-Russo, Deborah – Mathematics Teacher, 2013

All teachers, especially high school teachers, face the challenge of ensuring that students have opportunities to relate and connect the various representations and notions of mathematics concepts developed over the course of the pre-K-12 mathematics curriculum. NCTM's (2000) Representation Standard emphasizes the importance of students being…

Descriptors: Mathematics Instruction, Mathematical Concepts, Academic Standards, Teaching Methods

Kinach, Barbara M. – Mathematics Teacher, 2012

Learning to reason spatially is increasingly recognized as an essential component of geometry education. Generally taken to be the "ability to represent, generate, transform, communicate, document, and reflect on visual information," "spatial reasoning" uses the spatial relationships between objects to form ideas. Spatial thinking takes a variety…

Descriptors: Learning Activities, Teaching Methods, Geometry, Geometric Concepts

Whiteley, Walter J.; Mamolo, Ami – Mathematics Teacher, 2012

A well-known optimization problem is the Popcorn Box investigation, which involves a movie theater snack container. The problem has been tailored for classroom investigations by the Ontario Association for Mathematics Education. The exploration was designed for students in grades 9 through 12. A common strategy proposed for algebra students is to…

Descriptors: Algebra, Geometric Concepts, Foreign Countries, Mathematics Instruction

Cory, Beth – Mathematics Teacher, 2010

National Council of Teachers of Mathematics' (NCTM's) (2000) Connections Standard states that students should "recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect ...; [and] recognize and apply mathematics in contexts outside of mathematics" (p. 354). This article presents an in-depth…

Descriptors: Graphs, Physics, Calculus, Mathematics Instruction

Barnes, Rachael; Hamon, Suzanne – Mathematics Teacher, 2010

The prealgebra curriculum presents many opportunities for encouraging students to justify their inferences. Requiring students to communicate clearly the reasoning behind their solutions, with appropriate mathematical language and notation, helps lay the groundwork for future, proof-based mathematics courses. Prealgebra students can even be…

Descriptors: Learning Activities, Algebra, Inferences, Mathematics Instruction

Zelkowski, Jeremy; Mayes, Robert – Mathematics Teacher, 2008

The article focuses on engaging students in algebra through modeling real-world problems. The technique of least squares is explored, encouraging students to develop a deeper understanding of the method. (Contains 2 figures and a bibliography.)

Descriptors: Problem Solving, Relevance (Education), Least Squares Statistics, Algebra

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