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National Council of Teachers of Mathematics, 2017

When it comes to mathematics, standards aligned is achievement aligned… In the short time since "The Common Core Mathematics Companions" for grades K-2, 3-5 and 6-8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics…

Descriptors: Mathematics Instruction, Academic Standards, Common Core State Standards, High Schools

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

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

Polly, Drew – Teaching Children Mathematics, 2011

Students' use of technology allows them to generate and manipulate multiple representations of a concept, compute numbers with relative ease, and focus more on mathematical concepts and higher-order thinking skills. In elementary school mathematics classrooms, students develop higher-order thinking skills by completing complex tasks that require…

Descriptors: Elementary School Mathematics, Mathematical Concepts, Algebra, Mathematics Instruction

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

Nagy, Robin – Australian Mathematics Teacher, 2013

It is essential to retain a focus on building students' mathematical reasoning and comprehension rather than merely developing superficial understanding through procedural learning. All too often this approach "takes a back seat" because of examination and assessment pressure, where the importance of "How?" supersedes that of…

Descriptors: Mathematics, Professional Personnel, Mathematics Teachers, Secondary School Mathematics

McGinn, Kelly M.; Lange, Karin E.; Booth, Julie L. – Mathematics Teaching in the Middle School, 2015

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…

Descriptors: Algebra, Mathematical Concepts, Fundamental Concepts, Misconceptions

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

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

Paoletti, Teo J. – Mathematics Teacher, 2013

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…

Descriptors: Mathematics Instruction, Relevance (Education), Algebra, Mathematics Skills

Lim, Kien H. – Mathematics Teacher, 2016

Magic captivates humans because of their innate capacity to be intrigued and a desire to resolve their curiosity. In a mathematics classroom, algorithms akin to magic tricks can be an effective tool to engage students in thinking and problem solving. Tricks that rely on the power of mathematics are especially suitable for students to experience an…

Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Mathematical Concepts

Thom, Jennifer S. – Teaching Children Mathematics, 2011

This article presents a descriptive account of an after-school study. The participants--Allan (male, ten years), Veronique (female, nine years), and William (male, ten years)--all spoke English as their first language and were considered by their classroom teachers to be meeting the provincially set expectations for the fifth-grade curriculum…

Descriptors: Mathematics Education, Grade 5, Elementary School Teachers, Algebra

Oldenburg, Reinhard – International Journal for Technology in Mathematics Education, 2015

Quantifier Elimination is a procedure that allows simplification of logical formulas that contain quantifiers. Many mathematical concepts are defined in terms of quantifiers and especially in calculus their use has been identified as an obstacle in the learning process. The automatic deduction provided by quantifier elimination thus allows…

Descriptors: Mathematical Concepts, Mathematical Formulas, Mathematical Applications, Calculus