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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

McCulloch, Allison W.; Whitehead, Ashley; Lovett, Jennifer N.; Whitley, Blake – Mathematics Teacher, 2017

Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…

Descriptors: Mathematics Instruction, Audio Equipment, Textbooks, Word Problems (Mathematics)

Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teacher, 2017

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

Descriptors: Mathematical Models, Problem Solving, Mathematics Instruction, High School Students

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

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

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

Pinkerton, Mark; Shafer, Kathryn G. – Mathematics Teacher, 2013

Problem solving is a necessary component of developing a strong mathematics curriculum that will help all students achieve their life goals, regardless of their specific academic plans. What day-to-day instructional decisions do teachers need to make if they believe that problem solving is a vehicle for learning mathematical content? In this…

Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, High Schools

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

Suurtam, Christine – Mathematics Teacher, 2012

"Reasoning and sense making should occur in every classroom every day," states "Focus in High School Mathematics: Reasoning and Sense Making" (NCTM 2009, p. 5). As this book suggests, reasoning can take many forms, including explorations and conjectures as well as explanations and justifications of student thinking. Sense making, on the other…

Descriptors: Mathematics Education, Grade 7, Mathematics Teachers, Thinking Skills

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

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

McGivney-Burelle, Jean; McGivney, Raymond J.; McGivney, Katherine G. – Mathematics Teacher, 2008

This article describes an engaging, data-gathering activity that allows students to explore relationships between latitude and average monthly temperatures of cities in the Western Hemisphere. This data-gathering activity covered interesting and important mathematical ground and engaged students from the start. While students searched for their…

Descriptors: Learning Activities, Climate, Data Collection, Measurement Techniques