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Joshua, Surani; Drimalla, James; Horne, Dru; Lavender, Heather; Yon, Alexandra; Byerley, Cameron; Yoon, Hyunkyoung; Moore, Kevin – Mathematics Teacher: Learning and Teaching PK-12, 2022
To facilitate people using mathematical reasoning to compare risks associated with the COVID-19 pandemic, the National Science Foundation (NSF) funded the COViD-TASER (Creation of Visualizations of Data: The Application of STEM Education Research) research team to create the COVID-19 Relative Risk Tool (RRT). The RRT uses an interactive bar chart…
Descriptors: Mathematics Instruction, Mathematical Logic, Risk, COVID-19
Paolillo, Bonaventura; Rizzo, Piermichele; Vincenzi, Giovanni – International Journal of Mathematical Education in Science and Technology, 2017
In this paper, we give possible suggestions for a classroom lesson about an application of probability using basic mathematical notions. We will approach to some combinatoric results without using "induction", "polynomial identities" nor "generating functions", and will give a proof of the "Vandermonde…
Descriptors: Probability, Mathematical Logic, Validity, Foreign Countries
Russo, James – Australian Primary Mathematics Classroom, 2016
This article describes activities in which students deepen their relational understanding of the equals sign through exploring inequalities in a competitive dice game, built around the familiar fairy-tale "The Three Little Pigs" and "The Big Bad Wolf." The activity can be adapted to different abilities by choosing more or less…
Descriptors: Picture Books, Teaching Methods, Class Activities, Mathematics Education
Kinzer, Cathy Jeanne; Virag, Lisa; Morales, Sara – Teaching Children Mathematics, 2011
How can a teacher use the practice of reflection to create rich mathematical learning environments that are engaging to students? In such environments, one can hear and see a seamless integration of Problem Solving, Reasoning and Proof, Communication, making mathematical Connections, and Representation (the NCTM Process Standards) through Number…
Descriptors: Feedback (Response), Teaching Methods, Reflection, Classroom Environment
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
Chick, Helen – Australian Mathematics Teacher, 2010
There is much to be learned and pondered by reading "Proofs and Refutations" by Imre Lakatos (Lakatos, 1976). It highlights the importance of mathematical definitions, and how definitions evolve to capture the essence of the object they are defining. It also provides an exhilarating encounter with the ups and downs of the mathematical reasoning…
Descriptors: Definitions, Literary Devices, Probability, Mathematics Instruction
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
National Council of Teachers of Mathematics, 2009
Reasoning about and making sense of statistics and probability are essential to students' future success. This volume belongs to a series that supports National Council of Teachers of Mathematics' (NCTM's) "Focus in High School Mathematics: Reasoning and Sense Making" by providing additional guidance for making reasoning and sense making part of…
Descriptors: Statistics, Probability, High School Students, Secondary School Mathematics
Broca, D. S. – International Journal of Mathematical Education in Science and Technology, 2004
The traditional approach to expressing cumulants in terms of moments is by expansion of the cumulant generating function which is represented as an embedded power series of the moments. The moments are then obtained in terms of cumulants through successive reverse substitutions. In this note we demonstrate how cumulant-moment relations are…
Descriptors: Statistics, Probability, Higher Education, Mathematical Formulas
Hodgson, Ted R.; Burke, Maurice J. – Mathematics Teacher, 2005
This article describes the variety of strategies that can be used to determine the probability that a player wins a tennis game, given a probability of 60 percent that he or she wins each point. The article suggests strategies for using the problem in 9-12 classrooms.
Descriptors: Probability, Racquet Sports, Mathematical Logic, Secondary School Mathematics

Hinders, Duane C. – Mathematics Teacher, 1990
Discusses the use or misuse of statistics or probability in society. Presented are examples from opinion polling, sports, the 1970 draft lottery, and the law. Lists 18 references. (YP)
Descriptors: Data Interpretation, Mathematical Applications, Mathematical Concepts, Mathematical Logic

Barbella, Peter; And Others – Mathematics Teacher, 1990
Demonstrates a statistically valid method allowing students to explore randomization. Described are two examples: counting techniques for a small set of data and simulation for a large sample. (YP)
Descriptors: Data Analysis, Data Interpretation, Mathematical Concepts, Mathematical Logic

Jarrell, Stephen – Mathematics and Computer Education, 1990
Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)
Descriptors: Bayesian Statistics, College Mathematics, Computation, Decimal Fractions

Chu, David; Chu, Joan – Mathematics Teacher, 1992
The intuitive simplicity of probability can be deceiving. Described is a dialogue that presents arguments for conflicting solutions to a seemingly simple problem determining the probability of having two boys in a two-child family knowing that one child is a boy. Solutions contain multiple arguments and representations. (MDH)
Descriptors: Cognitive Development, Decision Making, Group Discussion, Mathematical Logic

Merz, Thomas E. – Journal of Economic Education, 1996
Uses the various strategies involved in baseball to illustrate basic concepts in game theory. Specifically discusses Willie Mays' base-stealing strategy and how it relates to probability and risk. Reminds students that expected results depend on adopted assumptions. (MJP)
Descriptors: Baseball, Decision Making, Economics Education, Game Theory
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