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The "Brick Wall" Graphic Organizer
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Matteson, Shirley M. – Mathematics Teaching in the Middle School, 2016
A brick wall provides a fitting description of what happens when teachers try to teach a concept for which students are unprepared. When students are unsuccessful academically, their foundational knowledge may be missing, incomplete, or incorrect. As a result, students "hit a brick wall," and their academic progress stops because they do…
Descriptors: Instructional Materials, Mathematics Instruction, Mathematics Education, Middle School Students
Cultivating Algebraic Representations
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van den Kieboom, Leigh A.; Magiera, Marta T. – Mathematics Teaching in the Middle School, 2012
Reasoning and sense making are at the heart of mathematics teaching and learning throughout the K-12 mathematics curriculum. Focusing on these skills gives students the opportunity to analyze, interpret, and critically think about the mathematics they learn. The terms "reasoning" and "sense making" are frequently used to describe the wide range of…
Descriptors: Mathematics Curriculum, Middle School Teachers, Mathematics Instruction, Secondary School Mathematics
A Professional Collaboration Model
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Jenkins, Oliver F. – Mathematics Teaching in the Middle School, 2010
Middle school mathematics teachers face unprecedented challenges. Foremost among those challenges is being able to systematically adapt instructional practices to advance student achievement relative to rigorous math standards. These challenges are not likely to be overcome by individual teachers. That said, it is widely argued that collaborative…
Descriptors: Teacher Collaboration, Cooperation, Grade 6, Mathematics Teachers
Be Resolute about Absolute Value
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Kidd, Margaret L. – Mathematics Teaching in the Middle School, 2007
This article explores how conceptualization of absolute value can start long before it is introduced. The manner in which absolute value is introduced to students in middle school has far-reaching consequences for their future mathematical understanding. It begins to lay the foundation for students' understanding of algebra, which can change…
Descriptors: Mathematics Education, Arithmetic, Mathematical Concepts, Comprehension
Keeping It Real: The Rationale for Using Manipulatives in the Middle Grades
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Freer Weiss, Dana M. – Mathematics Teaching in the Middle School, 2006
This article examines research to explore whether the use of manipulatives is an effective tool in teaching mathematics concepts and reasoning to middle-grades students.
Descriptors: Mathematics Instruction, Middle School Students, Secondary School Mathematics, Manipulative Materials
Relational Understanding and Instrumental Understanding
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Skemp, Richard R. – Mathematics Teaching in the Middle School, 2006
This article contrasts relational and instrumental understanding and the consequences on the application of mathematics learning. (Contains 3 endnotes.)
Descriptors: Mathematics Education, Mathematics Instruction, Mathematical Concepts, Teaching Methods
Creativity: A Key to Understanding.
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Lynch, Diane – Mathematics Teaching in the Middle School, 1997
Describes the results of a classroom trial activity to encourage communication in mathematics. Students were asked to write a short story or a joke or to create a cartoon about an aspect of mathematics, which was in this case isolating the variable or property of negative 1. The activity revealed creativity and allowed the teacher to determine how…
Descriptors: Cartoons, Communication Skills, Content Area Writing, Creative Writing