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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
Georgeson, Joseph – Mathematics Teaching in the Middle School, 2011
Students enjoy origami and like making everything from paper cranes to footballs out of small, colorful squares of paper. They can invent their own shapes and are intrigued by the polyhedrons that they can construct. Paper folding is fun, but where is the math? Unless teachers develop lessons that address mathematical objectives, origami could be…
Descriptors: Student Interests, Algebra, Mathematics Instruction, Experiential Learning
Whaley, Kenneth A. – Mathematics Teaching in the Middle School, 2012
Fostering algebraic thinking is an important goal for middle-grades mathematics teachers. Developing mathematical reasoning requires that teachers cultivate students' habits of mind. Teachers develop students' understanding of algebra by engaging them in tasks that involve modeling and representation. This study was designed to investigate how…
Descriptors: Interests, Word Problems (Mathematics), Mathematics Teachers, Algebra
Billings, Esther M. H.; McClure, Melanie Schultz – Mathematics Teaching in the Middle School, 2005
This article describes how we used the context of mailing a package with seventh-grade students to explore and connect the different representations of step and linear functions. (Contains 2 tables and 7 figures.)
Descriptors: Mathematics, Algebra, Student Attitudes, Models
Clary, Kim M. – Mathematics Teaching in the Middle School, 2006
This article describes a hands-on activity in which students convert decimals to fractions, measure, make scale drawings, use algebraic formulas, and use visualization to construct a three-dimensional physical model of a portion of the seafloor. In the process, they learn about sound, speed, and ocean exploration. (Contains 2 figures.)
Descriptors: Algebra, Models, Experiential Learning, Mathematics Activities
Herbel-Eisenmann, Beth A.; Phillips, Elizabeth Difanis – Mathematics Teaching in the Middle School, 2005
This article describes a set of learning activities that use algebraic problems and written student work to help preservice and in-service teachers understand students' algebraic thinking. (Contains 4 figures.)
Descriptors: Teaching Methods, Algebra, Preservice Teachers, Mathematics Teachers

Brahier, Daniel J.; Speer, William R. – Mathematics Teaching in the Middle School, 1997
Presents an extended activity consisting of a sequence of tasks organized so that students can visit several mathematical concepts concurrently and explore connections among them. Students build solids using bendable straws to form the skeletons of various polyhedra. Topics covered include tables and charts, algebraic expressions, surface area,…
Descriptors: Algebra, Area, Data Analysis, Geometric Concepts