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Showing 76 to 90 of 123 results Save | Export
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Dickman, Benjamin – Mathematics Teacher, 2016
Guessing, for Pólya, is an important way of getting an initial handle on a mathematical problem. An argument can be made to place guessing in any one of the first three steps of the four-step approach to problem solving as described in "How to Solve It" (Pólya 1945). It could be a part of understanding the problem, devising a plan, or…
Descriptors: Problem Solving, Mathematics Instruction, Calculus, Fractions
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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
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Hurdle, Zach; Warshauer, Max; White, Alex – Mathematics Teacher, 2016
The desire to persuade students to avoid strictly memorizing formulas is a recurring theme throughout discussions of curriculum and problem solving. In combinatorics, a branch of discrete mathematics, problems can be easy to write--identify a few categories, add a few restrictions, specify an outcome--yet extremely challenging to solve. A lesson…
Descriptors: Mathematics Instruction, Mathematics Activities, Mathematical Formulas, Computation
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Hallman-Thrasher, Allyson; Litchfield, Erin T.; Dael, Kevin E. – Mathematics Teacher, 2016
Matrices occupy an awkward spot in a typical algebra 2 textbook: sandwiched between solving linear systems and solving quadratics. Even teachers who do not base their course timeline and pacing on the class textbook may find a disconnect between how matrices are taught (procedurally) and how other topics are taught (conceptually or with real-world…
Descriptors: Multiplication, Algebra, Mathematics Instruction, Teaching Methods
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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
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Stephens, Greg – Mathematics Teacher, 2016
Most word processors, including Google Docs™ and Microsoft® Word, include an equation editor. These are great tools for the occasional homework problem or project assignment. Getting the mathematics to display correctly means making decisions about exactly which elements of an expression go where. The feedback is immediate: Students can see…
Descriptors: Mathematics Instruction, Equations (Mathematics), Technology Uses in Education, Educational Technology
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Strayer, Jeremy; Matuszewski, Amber – Mathematics Teacher, 2016
In this article, Strayer and Matuszewski present a six-phase strategy that teachers can use to help students develop a conceptual understanding of inferential hypothesis testing through simulation. As Strayer and Matuszewski discuss the strategy, they describe each phase in general, explain how they implemented the phase while teaching their…
Descriptors: Mathematics Instruction, Teaching Methods, Hypothesis Testing, Simulation
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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
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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
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Meagher, Michael S.; Edwards, Michael Todd; Özgün-Koca, S. Asli – Mathematics Teacher, 2016
The article opens with a Geoboard Triangle Quest in this form: "How many noncongruent triangles can be constructed on a 4 × 4 geoboard? How do you know? Justify your answer with significant supporting work." The use of advanced digital technologies as tools for problem solving receives much attention in the methods classes if the…
Descriptors: Mathematics Instruction, Geometry, Technology Uses in Education, Educational Technology
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Ferguson, Sarah – Mathematics Teacher, 2016
Throughout the school year, AP Calculus teachers strive to teach course content comprehensively and swiftly in an effort to finish all required material before the AP Calculus exam. As early May approaches and the AP Calculus test looms, students and teachers nervously complete lessons, assignments, and assessments to ensure student preparation.…
Descriptors: Advanced Placement Programs, Calculus, Mathematics Instruction, Learning Activities
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Szydlik, Jennifer Earles; Parrott, Amy; Belnap, Jason Knight – Mathematics Teacher, 2016
Classroom culture is negotiated and established through both conversations and practices. Traditionally, teachers and researchers have focused primarily on the individual and social construction of mathematical content--that is, students' conceptual understanding and procedural skills--through mathematical actions and practices. This article…
Descriptors: Mathematics Instruction, Geometry, Discussion (Teaching Technique), Definitions
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Ghosh, Jonaki B. – Mathematics Teacher, 2016
Generalizing is a foundational mathematical practice for the algebra classroom. It entails an act of abstraction and forms the core of algebraic thinking. Kinach (2014) describes two kinds of generalization--by analogy and by extension. This article illustrates how exploration of fractals provides ample opportunity for generalizations of both…
Descriptors: Mathematics Instruction, Grade 11, Secondary School Mathematics, Algebra
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Dong, Yu Ren – Mathematics Teacher, 2016
The American educational landscape is changing rapidly, and so are the students in American mathematics classrooms. In the New York City public schools, one of every four students is an English language learner (ELL) (New York City Department of Education 2014). Mathematics teachers find themselves teaching either in a classroom that contains all…
Descriptors: Mathematics Instruction, Educational Environment, Student Diversity, English Language Learners
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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
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