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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

Nabbout-Cheiban, Marie; Fisher, Forest; Edwards, Michael Todd – Mathematics Teacher, 2017

The Common Core State Standards for Mathematics envisions data analysis as a key component of K-grade 12 mathematics instruction with statistics introduced in the early grades. Nonetheless, deficiencies in statistical learning persist throughout elementary school and beyond. Too often, mathematics teachers lack the statistical knowledge for…

Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Statistics

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

Liu, Yating; Enderson, Mary C. – Mathematics Teacher, 2016

A mysterious conflict of solutions emerged when a group of tenth- and eleventh-grade students were studying a seemingly ordinary problem on combination and probability. By investigating the mysterious "conflicts" caused by multiple randomization procedures, students will gain a deeper understanding of what it means to perform a task…

Descriptors: High School Students, Grade 10, Grade 11, Probability

Gurl, Theresa J.; Fox, Ryan; Dabovic, Nikolina; Leavitt, Arielle Eager – Mathematics Teacher, 2016

The implementation of the Common Core's Standards for Mathematical Practice can pose a challenge to all teachers of mathematics but especially to preservice teachers. These standards require teaching in a way that often differs from what preservice teachers have experienced as learners. Standard 1--"Make sense of problems and persevere in…

Descriptors: Teaching Methods, Mathematics Teachers, Preservice Teachers, Teaching Experience

Wanko, Jeffrey J.; Nickell, Jennifer V. – Mathematics Teacher, 2013

Shapedoku is a new type of puzzle that combines logic and spatial reasoning with understanding of basic geometric concepts such as slope, parallelism, perpendicularity, and properties of shapes. Shapedoku can be solved by individuals and, as demonstrated here, can form the basis of a review for geometry students as they create their own. In this…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Geometric Concepts, Teaching Methods

Trinter, Christine P.; Garofalo, Joe – Mathematics Teacher, 2013

When confronted with a challenging problem, many solvers may at first think that not enough information has been provided. If, however, they suspect that the problem is solvable, this feeling typically influences them to persevere as well as monitor and reflect on their efforts. In this article the authors present four nonroutine tasks that they…

Descriptors: Mathematics Instruction, Problem Solving, Word Problems (Mathematics), Academic Standards

Steketee, Scott; Scher, Daniel – Mathematics Teacher, 2012

Composition of functions is one of the five big ideas identified in NCTM's "Developing Essential Understanding of Functions, Grades 9-12" (Cooney, Beckmann, and Lloyd 2010). Through multiple representations (another big idea) and the use of The Geometer's Sketchpad[R] (GSP), students can directly manipulate variables and thus see dynamic visual…

Descriptors: Geometric Concepts, Mathematics Instruction, Teaching Methods, Secondary School Mathematics

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

Cherico, Cindy M. – Mathematics Teacher, 2011

The most common question the author's students ask is, "When will I ever use this in real life?" To address this question in her geometry classes, the author sought to create a project that would incorporate a real-world business situation with their lesson series on the surface area and volume of three-dimensional objects--specifically, prisms,…

Descriptors: High Schools, Mathematical Concepts, Geometry, Mathematics Instruction

Touval, Ayana – Mathematics Teacher, 2009

The kinematics teaching strategy is a teaching method that stimulates kinesthetic intelligence and thus offers students an unconventional approach for exploring mathematical ideas through movement. This article describes how to use the kinesthetic approach to introduce radian measure. The article includes detailed descriptions of easy-to-use…

Descriptors: Mathematics Instruction, Measurement Techniques, Teaching Methods, Learning Activities

McFeetors, P. Janelle; Mason, Ralph T. – Mathematics Teacher, 2009

Pairs of students are looking at rows of pennies--laughing, talking, kidding one another about who is winning and who is making smart moves. The game, a simple game for two players, is One or Two?. The game begins with a player removing any one penny. Players then take turns, removing either a single penny or a pair of pennies from adjacent…

Descriptors: Mathematics Education, Logical Thinking, Mathematical Logic, Strategic Planning

Kennis, James R. – Mathematics Teacher, 2009

This article examines some of the various judgmental errors and rationales that high school students make when attempting to solve basic probability exercises. Many of these errors allow the students to arrive at a correct answer and, thus, need to be examined more closely. (Contains 4 tables.)

Descriptors: Probability, High School Students, Mathematics Instruction, Thinking Skills