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Mathematics Teacher39
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Showing 1 to 15 of 39 results Save | Export
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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
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Nirode, Wayne – Mathematics Teacher, 2017
Since the 1970s, the Mathematical Association of America's (MAA) journals "Mathematics Magazine" and "College Mathematics Journal" have published "Proofs without Words" (PWWs) (Nelsen 1993). "PWWs are pictures or diagrams that help the reader see why a particular mathematical statement may be true and how one…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Secondary School Mathematics
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Graham, Melissa; Lesseig, Kristin – Mathematics Teacher, 2018
Mathematical argumentation is an essential part of the discipline of mathematics and a key indicator of mathematical proficiency. In the process of constructing arguments and critiquing the reasoning of others, students build their understanding of underlying mathematical ideas and engage in critical sense-making activity (Yackel and Hanna 2003).…
Descriptors: Mathematics Instruction, Persuasive Discourse, Mathematics Teachers, Faculty Development
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Nirode, Wayne – Mathematics Teacher, 2018
Twenty years ago when the author was student teaching, he quickly learned what geometry teachers and researchers (e.g., Senk 1985) have long known: High school geometry students struggle with proof. Throughout his career, he has tried to create instructional materials to make proof more accessible to his students. From field-testing materials with…
Descriptors: Secondary School Mathematics, High Schools, Geometry, Mathematics Instruction
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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
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Liu, Yating; Enderson, Mary C. – Mathematics Teacher, 2016
A mysterious conflict of solutions emerged when a group of tenth- and eleventh-grade students were studying a seemingly ordinary problem on combination and probability. By investigating the mysterious "conflicts" caused by multiple randomization procedures, students will gain a deeper understanding of what it means to perform a task…
Descriptors: High School Students, Grade 10, Grade 11, Probability
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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
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Grünberg, David; Matt, Andreas – Mathematics Teacher, 2015
Children love sculpting clay or building sand castles, creating objects in three dimensions before they have the motor skills to draw in two dimensions. Similar arguments applied to the study of curves and graphs in high school mathematics would suggest that students' work and calculation with shapes should move sequentially from concrete to more…
Descriptors: Algebra, Secondary School Mathematics, High School Students, Grade 9
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Merlin, Ethan M. – Mathematics Teacher, 2013
This article describes how the author has developed tasks for students that address the missed "essence of the matter" of algebraic transformations. Specifically, he has found that having students practice "perceiving" algebraic structure--by naming the "glue" in the expressions, drawing expressions using…
Descriptors: Mathematics Instruction, Teaching Methods, Algebra, Visual Aids
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Roberts, Nancy S.; Truxaw, Mary P. – Mathematics Teacher, 2013
In this article, a classroom teacher discusses ambiguities in mathematics vocabulary and strategies for ELL students in building understanding. The authors note that mathematics vocabulary may be more difficult to learn than other academic vocabulary for several reasons: (1) definitions are filled with technical vocabulary, symbols, and diagrams;…
Descriptors: Mathematics Instruction, English Language Learners, Vocabulary, Teaching Methods
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Silverman, Jason; Rosen, Gail L.; Essinger, Steve – Mathematics Teacher, 2013
Students are immersed in a mathematically intensive, technological world. They engage daily with iPods, HDTVs, and smartphones--technological devices that rely on sophisticated but accessible mathematical ideas. In this article, the authors provide an overview of four lab-type activities that have been used successfully in high school mathematics…
Descriptors: High School Students, Mathematics Instruction, Secondary School Mathematics, Laboratories
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Sliman, Emily – Mathematics Teacher, 2013
If a teacher asked their students what thinking looks like, what would they say? Would they just look at the teacher quizzically? The question is challenging because thinking is largely an invisible endeavor, and developing thoughtful students can be a daunting task. However, the job of mathematics teachers is to develop students who think about…
Descriptors: Mathematics Instruction, High Schools, Secondary School Mathematics, Cognitive Processes
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Poetzel, Adam; Muskin, Joseph; Munroe, Anne; Russell, Craig – Mathematics Teacher, 2012
Imagine high school students glued to computer screens--not playing video games but applying their mathematical knowledge of functions to the design of three-dimensional sculptures. Imagine these students engaging in rich discourse as they transform functions of their choosing to design unique creations. Now, imagine these students using…
Descriptors: High School Students, Secondary School Mathematics, Mathematics Education, College School Cooperation
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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
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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
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