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Pearl, Dennis K.; Lesser, Lawrence M. – Teaching Statistics: An International Journal for Teachers, 2020
The use of cartoons, songs, and quotes can be a useful way to engage students in discussion and learning key concepts about quantifying the uncertainty in statistical estimates.
Descriptors: Cartoons, Singing, Statistics, Teaching Methods
Bukac, Josef; Sulc, Jakub – Teaching Statistics: An International Journal for Teachers, 2020
The question is whether or not we or any student are allowed to define a measure of variability in some other way that is not written in textbooks and officially approved. We compare the sum of squares of all deviations against the usual sum of squares of deviations from the mean.
Descriptors: Statistics, Teaching Methods, Textbooks, Comparative Analysis
Chalikias, Miltiadis; Kossieri, Evangelia; Lalou, Panagiota – Teaching Statistics: An International Journal for Teachers, 2020
The aim of this paper is to approach the teaching of the Poisson distribution in a friendly and amusing way. It constitutes a common practice to adopt the main probability distributions in order to predict results of sport events and to estimate the win return of betting activities (Chalikias 2009). In particular, by using the Poisson…
Descriptors: Decision Making, Team Sports, Probability, Statistics
Rose, Jennifer S.; Dierker, Lisa C. – Teaching Statistics: An International Journal for Teachers, 2020
We adapted a multidisciplinary, project-based curriculum to introduce high school students to statistical inquiry. We examined student background characteristics, learning experiences, and course outcomes for 30 students aged 12 to 14 entering ninth grade who were involved in a 1-week, accelerated version of a Passion-Driven Statistics curriculum.…
Descriptors: Statistics, Mathematics Curriculum, Curriculum Development, High School Students
Meyer, Joerg – Teaching Statistics: An International Journal for Teachers, 2020
Some situations are presented with perplexing properties, which become clearer by looking at contingency tables. This in turn leads to problems that can be solved using conditional frequencies and thus leading to the Bayes formula with natural frequencies or probabilities.
Descriptors: Bayesian Statistics, Teaching Methods, Probability, Mathematics Instruction
Autin, Melanie A.; Gerstenschlager, Natasha E. – Teaching Statistics: An International Journal for Teachers, 2019
The negative hypergeometric distribution is often not formally studied in secondary or collegiate statistics in contexts other than drawing cards without replacement. We present a different context with the potential of engaging students in simulating and exploring data.
Descriptors: Statistics, Teaching Methods, Simulation, Educational Games
White, Simon R.; Bonnett, Laura J. – Teaching Statistics: An International Journal for Teachers, 2019
The statistical concept of sampling is often given little direct attention, typically reduced to the mantra "take a random sample". This low resource and adaptable activity demonstrates sampling and explores issues that arise due to biased sampling.
Descriptors: Statistical Bias, Sampling, Statistical Analysis, Learning Activities
Meyer, Joerg – Teaching Statistics: An International Journal for Teachers, 2019
A formula is derived for a 'two-dice horse race', in which two ordinary dice are thrown repeatedly and each time the sum of the scores determines which horse (numbered 2 to 12) moves forward one space. This paper answers a question posed in a former "Teaching Statistics" article, and demonstrates the value of simulation.
Descriptors: Statistics, Probability, Mathematical Formulas, Educational Games
Miranda Freire, Sergio – Teaching Statistics: An International Journal for Teachers, 2019
The transition from the probability mass function for discrete random variables to the probability density function for continuous random variables is not straightforward, especially to students from the health and social sciences. An R Shiny application was created to assist the learning process of probability density function.
Descriptors: Probability, Educational Technology, Technology Uses in Education, Visualization
Lyford, Alexander; Rahr, Thomas; Chen, Tina; Kovach, Benjamin – Teaching Statistics: An International Journal for Teachers, 2019
There is much debate about the place of probability in an introductory statistics course. While students may or may not use probability distributions in their post-collegiate lives, they will likely be faced with day-to-day decisions that require a probabilistic assessment of risk and reward. This paper describes an innovative way to teach…
Descriptors: Probability, Teaching Methods, Statistics, Educational Games
Roy, Sudipta – Teaching Statistics: An International Journal for Teachers, 2019
The natural experiment proposed in this article extracts three stories from boxes of "100 paper clips". The activity requires students to apply three lessons from inferential statistics, starting with a hypothesis test and including confidence intervals as well as tolerance intervals.
Descriptors: Statistical Inference, Probability, Teaching Methods, Hypothesis Testing
Jones, Rhys C. – Teaching Statistics: An International Journal for Teachers, 2019
The use of statistical investigations as a teaching strategy have been shown to both motivate and engage students. The implementation of a statistical investigation to measure intelligence is described, covering core statistical principles and key elements of research design.
Descriptors: Teaching Methods, Intelligence, Creativity, Statistics
Using the Standard Wald Confidence Interval for a Population Proportion Hypothesis Test Is a Common Mistake
Yang, Shitao; Black, Ken – Teaching Statistics: An International Journal for Teachers, 2019
Summary Employing a Wald confidence interval to test hypotheses about population proportions could lead to an increase in Type I or Type II errors unless the hypothesized value, p0, is used in computing its standard error rather than the sample proportion. Whereas the Wald confidence interval to estimate a population proportion uses the sample…
Descriptors: Error Patterns, Evaluation Methods, Error of Measurement, Measurement Techniques
McCune, David; Tunstall, Samuel Luke – Teaching Statistics: An International Journal for Teachers, 2019
This paper describes a lesson centered around a metric for measuring partisan gerrymandering: the efficiency gap. We situate the efficiency gap in the current US political climate, describe the activity itself, and then provide recommendations for readers interested in adapting the lesson for their own classrooms.
Descriptors: Democracy, Voting, Efficiency, Lesson Plans
Arnholt, Suzanne Ruth – Teaching Statistics: An International Journal for Teachers, 2019
This article provides a suggestion for encouraging an appropriate level of participation from all students in a small class or tutorial discussion.
Descriptors: Teaching Methods, Student Participation, Small Classes, Statistics