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Showing 1 to 15 of 18 results Save | Export
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Lyford, Alex; Czekanski, Michael – Teaching Statistics: An International Journal for Teachers, 2020
Students are typically introduced to probability through calculating simple events like flipping a coin. While these calculations can be done by hand, more complex probabilistic events, both in class and in the real world, require the use of computers. In this paper, we introduce a new tool--an R shiny web app and associated CRAN package based on…
Descriptors: Probability, Games, Simulation, Mathematics Instruction
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Šedivá, Blanka – International Journal for Technology in Mathematics Education, 2019
The Monte Carlo method is one of the basic simulation statistical methods which can be used both to demonstrate basic probability and statistical concepts as well as to analyse the behaviour stochastic models. The introduction part of the article provides a brief description of the Monte Carlo method. The main part of the article is concentrated…
Descriptors: Simulation, Monte Carlo Methods, Teaching Methods, Mathematics Instruction
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Braithwaite, David W.; Pyke, Aryn A.; Siegler, Robert S. – Grantee Submission, 2017
Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it…
Descriptors: Arithmetic, Computation, Models, Mathematics Instruction
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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
Falk, Carl F.; Cai, Li – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2015
We present a logistic function of a monotonic polynomial with a lower asymptote, allowing additional flexibility beyond the three-parameter logistic model. We develop a maximum marginal likelihood based approach to estimate the item parameters. The new item response model is demonstrated on math assessment data from a state, and a computationally…
Descriptors: Guessing (Tests), Item Response Theory, Mathematics Instruction, Mathematics Tests
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Caudle, Kyle A.; Ruth, David M. – Journal of Computers in Mathematics and Science Teaching, 2013
Teaching undergraduates the basic properties of an estimator can be difficult. Most definitions are easy enough to comprehend, but difficulties often lie in gaining a "good feel" for these properties and why one property might be more desired as compared to another property. Simulations which involve visualization of these properties can…
Descriptors: Computation, Statistics, College Mathematics, Mathematics Instruction
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Flores, Alfinio – Mathematics Teacher, 2014
Tossing a fair coin 1000 times can have an unexpected result. In the activities presented here, players keep track of the accumulated total for heads and tails after each toss, noting which player is in the lead or whether the players are tied. The winner is the player who was in the lead for the higher number of turns over the course of the game.…
Descriptors: Mathematics Instruction, Learning Activities, Numbers, Mathematical Concepts
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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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Cherico, Cindy M. – Mathematics Teacher, 2011
The most common question the author's students ask is, "When will I ever use this in real life?" To address this question in her geometry classes, the author sought to create a project that would incorporate a real-world business situation with their lesson series on the surface area and volume of three-dimensional objects--specifically, prisms,…
Descriptors: High Schools, Mathematical Concepts, Geometry, Mathematics Instruction
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Ramler, Ivan P.; Chapman, Jessica L. – Journal of Statistics Education, 2011
In this article we describe a semester-long project, based on the popular video game series Guitar Hero, designed to introduce upper-level undergraduate statistics students to statistical research. Some of the goals of this project are to help students develop statistical thinking that allows them to approach and answer open-ended research…
Descriptors: Video Games, Hypothesis Testing, Programming, Statistics
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Sun, Ronghua; Willson, Victor L. – Structural Equation Modeling: A Multidisciplinary Journal, 2009
The effects of misspecifying intercept-covariate interactions in a 4 time-point latent growth model were the focus of this investigation. The investigation was motivated by school growth studies in which students' entry-level skills may affect their rate of growth. We studied the latent interaction of intercept and a covariate in predicting growth…
Descriptors: Investigations, Sample Size, Interaction, Computation
Muschla, Judith A.; Muschla, Gary Robert; Muschla, Erin – Jossey-Bass, An Imprint of Wiley, 2012
The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…
Descriptors: State Standards, Mathematics Instruction, Academic Standards, Experiential Learning
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Johnson, Roger W. – Teaching Statistics: An International Journal for Teachers, 2006
For the casino game Keno we determine optimal playing strategies. To decide such optimal strategies, both exact (hypergeometric) and approximate probability calculations are used. The approximate calculations are obtained via the Central Limit Theorem and simulation, and an important lesson about the application of the Central Limit Theorem is…
Descriptors: Games, Geometric Concepts, Probability, Simulation
Rochowicz, John A., Jr. – Online Submission, 2005
This paper introduces the reader to the concepts of binomial probability and simulation. A spreadsheet is used to illustrate these concepts. Random number generators are great technological tools for demonstrating the concepts of probability. Ideas of approximation, estimation, and mathematical usefulness provide numerous ways of learning…
Descriptors: Probability, Simulation, Spreadsheets, Computation
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Walters, Elizabeth J.; Morrell, Christopher H.; Auer, Richard E. – Journal of Statistics Education, 2006
Least squares regression is the most common method of fitting a straight line to a set of bivariate data. Another less known method that is available on Texas Instruments graphing calculators is median-median regression. This method is proposed as a simple method that may be used with middle and high school students to motivate the idea of fitting…
Descriptors: Simulation, Graphing Calculators, Regression (Statistics), Least Squares Statistics
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