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Ghosh, Jonaki B. – Mathematics Teacher, 2018
The Tower of Hanoi is an old, popular, and engaging puzzle. It is an exceptional puzzle too considering how effective it can be in engendering multiple valuable outcomes when used as a tool for learning. One of the fundamental goals of mathematics teacher preparation is to enable the prospective teacher to develop mathematical habits of mind and…
Descriptors: Mathematics Instruction, Teaching Methods, Puzzles, Preservice Teachers
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Graham, Melissa; Lesseig, Kristin – Mathematics Teacher, 2018
Mathematical argumentation is an essential part of the discipline of mathematics and a key indicator of mathematical proficiency. In the process of constructing arguments and critiquing the reasoning of others, students build their understanding of underlying mathematical ideas and engage in critical sense-making activity (Yackel and Hanna 2003).…
Descriptors: Mathematics Instruction, Persuasive Discourse, Mathematics Teachers, Faculty Development
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Rebholz, Joachim A. – Mathematics Teacher, 2017
Graphing functions is an important topic in algebra and precalculus high school courses. The functions that are usually discussed include polynomials, rational, exponential, and trigonometric functions along with their inverses. These functions can be used to teach different aspects of function theory: domain, range, monotonicity, inverse…
Descriptors: Mathematics Instruction, High School Students, Secondary School Mathematics, Graphs
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Wanko, Jeffrey J. – Mathematics Teacher, 2017
Working with language-independent logic structures can help students develop both inductive and deductive reasoning skills. The Japanese publisher Nikoli (with resources available both in print and online) produces a treasure trove of language-independent logic puzzles. The Nikoli print resources are mostly in Japanese, creating the extra…
Descriptors: Mathematics Instruction, Teaching Methods, Puzzles, Logical Thinking
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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
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Wolbert, William – Mathematics Teacher, 2017
The query "When are we ever going to use this?" is easily answered when discussing the slope of a line. The pitch of a roof, the grade of a road, and stair stringers are three applications of slope that are used extensively. The concept of slope, which is introduced fairly early in the mathematics curriculum has hands-on applications…
Descriptors: Mathematics Instruction, Experiential Learning, Learning Activities, Mathematical Concepts
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Case, Catherine; Whitaker, Douglas – Mathematics Teacher, 2016
In the criminal justice system, defendants accused of a crime are presumed innocent until proven guilty. Statistical inference in any context is built on an analogous principle: The null hypothesis--often a hypothesis of "no difference" or "no effect"--is presumed true unless there is sufficient evidence against it. In this…
Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Statistical Inference
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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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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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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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Kurz, Terri L.; Garcia, Jorge – Mathematics Teacher, 2015
Since the 1950s, the understanding of how the base 10 system works has been encouraged through alternative base systems (Price 1995; Woodward 2004). If high school students are given opportunities to learn other base systems and analyze what they denote, we believe that they will better understand the structure of base 10 and its operations…
Descriptors: Mathematics Instruction, Mathematical Concepts, Teaching Methods, Grade 8
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Wasserman, Nicholas H. – Mathematics Teacher, 2014
Today, the Common Core State Standards for Mathematics (CCSSI 2010) expect students in as early as eighth grade to be knowledgeable about irrational numbers. Yet a common tendency in classrooms and on standardized tests is to avoid rational and irrational solutions to problems in favor of integer solutions, which are easier for students to…
Descriptors: Mathematics Instruction, Academic Standards, Number Concepts, Problem Solving
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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
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Landers, Mara G. – Mathematics Teacher, 2013
In this article, the author describes the development and implementation of a measurement-based group activity designed to support students in understanding the connection between angle magnitude and the shape of the sine function. She explains that the benefit of this activity is that it allows students to build their trigonometric knowledge…
Descriptors: Mathematics Instruction, Trigonometry, Mathematical Concepts, Experiential Learning
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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
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