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Showing 1 to 15 of 68 results Save | Export
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Colindres, Carlos A. Mejía; Peters, Stephanie – Mathematics Teacher, 2019
According to the conceptual framework for K-grade 12 statistics education introduced in the 2007 Guidelines for Assessment and Instruction in Statistics Education (GAISE) report, students can be located at one of three developmental levels of statistical literacy: A, B, or C. These levels are independent of age and grade level, so, in theory,…
Descriptors: Mathematics Instruction, Probability, Mathematics Teachers, Grade 8
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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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Wasserman, Nicholas H. – Mathematics Teacher, 2015
Finding and designing tasks that allow for students to make connections among mathematical ideas is important for mathematics educators. One such task, which affords students the opportunity to make connections and engage with significant mathematical ideas through a variety of problem-solving approaches, is described in this article. Three…
Descriptors: Mathematics Instruction, Mathematical Concepts, Statistics, Probability
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Huey, Maryann E.; Baker, Deidra L. – Mathematics Teacher, 2015
Many teachers of required secondary school mathematics classes are introducing statistics and probability topics traditionally relegated to college or AP Statistics courses. As a result, they need guidance in preparing lesson plans and orchestrating effective classroom discussions. In this article, the authors will describe the students' learning…
Descriptors: Misconceptions, Causal Models, Secondary School Mathematics, Probability
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Lu, Yun; Vasko, Francis J.; Drummond, Trevor J.; Vasko, Lisa E. – Mathematics Teacher, 2014
If the prospective students of probability lack a background in mathematical proofs, hands-on classroom activities may work well to help them to learn to analyze problems correctly. For example, students may physically roll a die twice to count and compare the frequency of the sequences. Tools such as graphing calculators or Microsoft Excel®…
Descriptors: Probability, Mathematical Logic, Validity, Heuristics
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Flores, Alfinio; Cauto, Kevin M. – Mathematics Teacher, 2012
This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with…
Descriptors: Probability, Secondary School Students, Secondary School Mathematics, Mathematics Instruction
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Goodman, Terry – Mathematics Teacher, 2010
Part of the power of algebra is that it provides students with tools that they can use to model a variety of problems and applications. Such modeling requires them to understand patterns and choose from a variety of representations--numeric, graphical, symbolic--to construct a model that accurately reflects the relationships found in the original…
Descriptors: Probability, Mathematics Instruction, Problem Solving, Algebra
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Yeo, Joseph B. W. – Mathematics Teacher, 2012
Most students love to play games. Ernest (1986) believed that games could be used to teach mathematics effectively in four areas: motivation, concept development, reinforcement of skills, and practice of problem-solving strategies. Fifteen is an interesting and thought-provoking game that helps students learn mathematics at the same time. Playing…
Descriptors: Thinking Skills, Concept Formation, Spatial Ability, Geometric Concepts
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CadwalladerOlsker, Todd D. – Mathematics Teacher, 2011
Bayes's theorem is notorious for being a difficult topic to learn and to teach. Problems involving Bayes's theorem (either implicitly or explicitly) generally involve calculations based on two or more given probabilities and their complements. Further, a correct solution depends on students' ability to interpret the problem correctly. Most people…
Descriptors: Critical Thinking, Probability, Mathematical Logic, Mathematics Skills
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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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Bannon, Thomas J. – Mathematics Teacher, 2009
In this article, the classic problem of finding three ways to determine the probability that the pieces of a stick randomly broken in two places will form a triangle is analyzed anew. To be useful in the classroom, an application must be incorporated into an often-crowded curriculum. What is nice about this triangle problem is that it fits in…
Descriptors: Geometric Concepts, Probability, Geometry, Mathematics Instruction
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Devlin, Keith – Mathematics Teacher, 2010
The mathematics that students see in their textbooks is highly polished. The steps required to solve a problem are all clearly laid out. Thus, students are denied what could be a valuable learning experience. Often when students meet a problem that differs only slightly from the ones in the book, they are unable to proceed and afraid to "play…
Descriptors: Textbooks, Error Patterns, Probability, Learning Experience
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Danielson, Christopher; Jenson, Eric – Mathematics Teacher, 2008
The Wednesday before Thanksgiving presents a challenge to teachers in many U.S. schools. Some students are absent because they are traveling to be with their extended families for the holiday. Other students, assuming that nothing important will happen at school when so many of their peers are absent, may also be absent. One school's solution to…
Descriptors: High School Students, Probability, Teaching Methods, Handheld Devices
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Turton, Roger W. – Mathematics Teacher, 2007
This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)
Descriptors: Probability, Algebra, Problem Solving, Monte Carlo Methods
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Milou, Eric; Schiffman, Jay L. – Mathematics Teacher, 2007
In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed…
Descriptors: Probability, Discovery Learning, Mathematics Instruction, Teacher Education
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