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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

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

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

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

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

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

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

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

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

Corcoran, Mimi – Mathematics Teacher, 2016

Statistics is enjoying some well-deserved limelight across mathematics curricula of late. Some statistical concepts, however, are not especially intuitive, and students struggle to comprehend and apply them. As an AP Statistics teacher, the author appreciates the central limit theorem as a foundational concept that plays a crucial role in…

Descriptors: Statistics, Mathematics Instruction, Mathematical Concepts, Learning Activities

Ko, Yi-Yin; Yee, Sean P.; Bleiler-Baxter, Sarah K.; Boyle, Justin D. – Mathematics Teacher, 2016

This article describes the authors' three-component instructional sequence--a before-class activity, a during-class activity, and an after-class activity--which supports students in becoming self-regulated proof learners by actively developing class-based criteria for proof. All four authors implemented this sequence in their classrooms, and the…

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

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

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

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

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