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Davis, Brent – Mathematics Teaching in the Middle School, 2015
For centuries, the basic operations of school mathematics have been identified as addition, subtraction, multiplication, and division. Notably, these operations are "basic," not because they are foundational to mathematics knowledge, but because they were vital to a newly industrialized and market-driven economy several hundred years…
Descriptors: Grade 8, Units of Study, Teaching Methods, Fundamental Concepts
Wessman-Enzinger, Nicole M.; Mooney, Edward S. – Mathematics Teaching in the Middle School, 2014
The authors asked fifth-grade and eighth-grade students to pose stories for number sentences involving the addition and subtraction of integers. In this article, the authors look at eight stories from students. Which of these stories works for the given number sentence? What do they reveal about student thinking? When the authors examined these…
Descriptors: Numbers, Story Telling, Mathematics Instruction, Middle School Students
Flores, Alfinio; Priewe, Melina D. – Mathematics Teaching in the Middle School, 2013
This article describes how teachers address issues and tensions that students meet in learning division of fractions. First, students must make sense of division of fractions on their own by working individually and in small groups, using concrete or pictorial representations, inventing their own processes, and presenting and justifying their…
Descriptors: Arithmetic, Middle School Students, Thinking Skills, Problem Solving
Tillema, Erik S. – Mathematics Teaching in the Middle School, 2012
Mr. Carter is about to start a two-day lesson on subtraction of integers with his sixth-grade prealgebra students. He plans to use contextualized problems that will allow his students to develop an interpretation of subtraction that involves the idea of "difference." This article outlines one way to teach students develop number line…
Descriptors: Subtraction, Algebra, Mathematics Instruction, Grade 6
Dixon, Juli K.; Tobias, Jennifer M. – Mathematics Teaching in the Middle School, 2013
What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…
Descriptors: Computation, Arithmetic, Preservice Teacher Education, Preservice Teachers
Flores, Alfinio – Mathematics Teaching in the Middle School, 2008
Diverse contexts such as "take away," comparison," and "completion" give rise to subtraction problems. The take-away interpretation of subtraction has been explored using two-colored chips to help students understand addition and subtraction of integers. This article illustrates how the difference and completion (or missing addend) interpretations…
Descriptors: Subtraction, Mathematics Instruction, Number Concepts, Numeracy
Nurnberger-Haag, Julie – Mathematics Teaching in the Middle School, 2007
This article describes a multisensory method for teaching students how to multiply and divide as well as add and subtract integers. The author uses sidewalk chalk and the underlying concept of integers to physically and mentally engage students in understanding the concepts of integers, making connections, and developing computational fluency.…
Descriptors: Computation, Special Needs Students, Teaching Methods, Mathematics Skills