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Shen, Zhuping – Mathematics Teacher, 2018
Finding intersections, unions, and complements of sets is an essential issue in elementary mathematics. It builds the foundation for set theory, probability, logic, and other topics. It is commonly recognized that drawing a Venn diagram, which was first introduced by the British philosopher and mathematician John Venn in 1881, is a classic and…
Descriptors: Mathematics Instruction, Teaching Methods, Visual Aids, Problem Solving
Turton, Roger – Mathematics Teacher, 2016
"Mathematical Lens" uses photographs as a springboard for mathematical inquiry and appears in every issue of "Mathematics Teacher." Recently while dismantling an old wooden post-and-rail fence, Roger Turton noticed something very interesting when he piled up the posts and rails together in the shape of a prism. The total number…
Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Photography
Kara, Melike; Eames, Cheryl L.; Miller, Amanda L.; Chieu, Annie – Mathematics Teacher, 2015
The very nature of algebra concerns the generalization of patterns (Lee 1996). Patterning activities that are geometric in nature can serve as powerful contexts that engage students in algebraic thinking and visually support them in constructing a variety of generalizations and justifications (e.g., Healy and Hoyles 1999; Lannin 2005). In this…
Descriptors: Algebra, Mathematics Instruction, Geometric Concepts, Concept Formation
Perham, Arnold E.; Perham, Faustine L. – Mathematics Teacher, 2011
The goal of this geometry project is to use Voronoi diagrams, a powerful modeling tool across disciplines, and the integration of technology to analyze spring rainfall from rain gauge data over a region. In their investigation, students use familiar equipment from their mathematical toolbox: triangles and other polygons, circumcenters and…
Descriptors: Problem Solving, Educational Technology, Probability, Geometry
Lancaster, Ron; Sandefur, Jim – Mathematics Teacher, 2005
Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.
Descriptors: Photography, Secondary School Mathematics, Visual Aids, Problem Solving
Ventress, Andy – Mathematics Teacher, 2006
Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.
Descriptors: Photography, Visual Aids, Mathematics Instruction, Problem Solving
Peer reviewedEmbse, Charles Vonder; Yoder, Vernon W. – Mathematics Teacher, 1998
Discusses the interconnection among the various modes of the TI-92 calculator (geometry, data graphing, function graphing, and algebra) and how the power of visualization is extended to provide multiple approaches to complex problem situations. Provides a graphing problem with illustrations and results. (AIM)
Descriptors: Algebra, Functions (Mathematics), Geometry, Graphing Calculators
Peer reviewedBremigan, Elizabeth George – Mathematics Teacher, 2004
The importance of visual representation, usually a geometric figure presented in words and in mathematical symbols that is frequently found on high-stakes standardized tests is evaluated. The study shows that mathematics teachers can help prepare students to solve mathematical problems containing a figure not drawn to scale by looking for and…
Descriptors: Symbols (Mathematics), Geometric Concepts, Standardized Tests, Calculus

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