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Wickstrom, Megan H.; Fulton, Elizabeth; Lackey, Dacia – Mathematics Teaching in the Middle School, 2019
The fifth-grade curriculum presents many opportunities to use students' prior mathematical knowledge as a way to bridge new and more difficult mathematical ideas. In this article, the authors document an area tiling task given to fifth-grade students to connect aspects of area measurement covered in earlier grades to grade-level standards such as:…
Descriptors: Mathematics Instruction, Manipulative Materials, Elementary School Mathematics, Grade 5
Bu, Lingguo; Marjanovich, Angel – Mathematics Teaching in the Middle School, 2017
Percentages have proven to be a challenging concept in school mathematics. At the surface, a percentage is merely a rational number, representing a ratio between a number and 100. At the conceptual core, however, a percentage is sensitive to the context, making sense with respect to a network of related quantities. In the effort of the authors to…
Descriptors: Mathematics Instruction, Mathematical Concepts, Numbers, Teaching Methods
Carter, Cynthia J. – Mathematics Teaching in the Middle School, 2017
The author wants her students to see any new mathematics--fractions, negative numbers, algebra--as logical extensions of what they already know. This article describes two students' efforts to make sense of their conflicting interpretations of 1/2 × -6, both of which were compelling and logical to them. It describes how discussion, constructing…
Descriptors: Middle School Students, Secondary School Mathematics, Multiplication, Fractions
Wiesman, Jeff L. – Mathematics Teaching in the Middle School, 2015
Students enrolled in a middle school prealgebra or algebra course often struggle to conceptualize and understand the meaning of radical notation when it is introduced. For example, although it is important for students to approximate the decimal value of a number such as [square root of] 30 and estimate the value of a square root in the form of…
Descriptors: Middle School Students, Secondary School Mathematics, Teaching Methods, Mathematical Concepts
Kimani, Patrick M.; Olanoff, Dana; Masingila, Joanna O. – Mathematics Teaching in the Middle School, 2016
This article discusses how teaching via problem solving helps enact the Mathematics Teaching Practices and supports students' learning and development of the Standards for Mathematical Practice. This approach involves selecting and implementing mathematical tasks that serve as vehicles for meeting the learning goals for the lesson. For the lesson…
Descriptors: Problem Solving, Mathematics Instruction, Mathematics Activities, Task Analysis
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
Starling, Courtney; Whitacre, Ian – Mathematics Teaching in the Middle School, 2016
Mathematics is a language that is characterized by words and symbols that have precise definitions. Many opportunities exist for miscommunication in mathematics if the words and symbols are interpreted incorrectly or used in imprecise ways. In fact, it is found that imprecision is a common source of mathematical disagreements and misunderstandings…
Descriptors: Mathematics Education, Equations (Mathematics), Class Activities, Demonstrations (Educational)
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
Popovic, Gorjana – Mathematics Teaching in the Middle School, 2015
To improve mathematics achievement of U.S. students and to assure that "what and how students are taught should reflect not only the topics within a certain academic discipline, but also the key ideas that determine how knowledge is organized and generated within that discipline" are dual goals of the Common Core State Standards for…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Numbers, Equations (Mathematics)
Andrews, Delise R. – Mathematics Teaching in the Middle School, 2011
Interactive whiteboards are somewhat unimpressive at first and look like the whiteboards that already hang on the walls of many classrooms. However, integrating interactive whiteboard technology in a unit on adding and subtracting integers enhances student engagement and understanding. In this article, the author describes how she used an…
Descriptors: Learner Engagement, Grade 5, Mathematics Instruction, Numbers
Champion, Joe; Wheeler, Ann – Mathematics Teaching in the Middle School, 2014
Pattern blocks are inexpensive wooden, foam, or plastic manipulatives developed in the 1960s to help students build an understanding of shapes, proportions, equivalence, and fractions (EDC 1968). The colorful collection of basic shapes in classic pattern block kits affords opportunities for amazing puzzle-like problem-solving tasks and for…
Descriptors: Mathematics Instruction, Middle School Students, Secondary School Mathematics, Teaching Methods
Norton, Anderson; Wilkins, Jesse L. M.; Evans, Michael A.; Deater-Deckard, Kirby; Balci, Osman; Chang, Mido – Mathematics Teaching in the Middle School, 2014
The authors introduce an educational video game (application, or "app"), "CandyFactory Educational Game," designed to promote students' development of partitive understanding of fractions while demonstrating the critical need to promote that development. The app includes essential game features of immediate feedback,…
Descriptors: Video Games, Educational Games, Mathematics Curriculum, Mathematics Activities
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
Peppers, Denise S.; Wan, Anna; Phillips, Hope E. – Mathematics Teaching in the Middle School, 2014
In this article, one teacher describes her action research with eighth-grade prealgebra students who are working on a conceptual understanding of fractions. Examining her middle school students' standardized test scores for the previous five years, Denise S. Peppers discovered that student performance on fractions was consistently the lowest…
Descriptors: Algebra, Number Concepts, Secondary School Mathematics, Middle School Students
Patterson, Lynn G.; Patterson, Kadie L. – Mathematics Teaching in the Middle School, 2014
Motivating middle school students to learn can be challenging. One proven method for doing so is through an integrated curriculum. Educational philosophers and curriculum theorists have long noted the benefits of an integrated curriculum, which recognizes that the subject areas within the curriculum are connected to one another and to the real…
Descriptors: Middle School Students, Problem Solving, Integrated Curriculum, Interdisciplinary Approach