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Covid-19: A Developing Crisis For Quantitative Reasoning, Nathan D. Grawe Jan 2022

Covid-19: A Developing Crisis For Quantitative Reasoning, Nathan D. Grawe

Numeracy

Assessment data show substantial learning losses resulting from pandemic-era teaching and learning. While all learning domains have been affected, mathematics performance shows particularly large losses among elementary and secondary school students. Advocates for quantitative reasoning in high schools and colleges should anticipate weaker levels of basic numeracy among entering cohorts for a decade to come. As a consequence, the urgency to reform curricula and student support has never been greater.


Numeracy And Financial Wellbeing During The Covid-19 Pandemic, Nora Wikoff Jan 2022

Numeracy And Financial Wellbeing During The Covid-19 Pandemic, Nora Wikoff

Numeracy

This paper examines the role of numeracy in smoothing financial difficulties during the COVID-19 pandemic. The results show that numeracy was associated with a 30% reduction in late or non-payment of bills and a 20% reduction in the odds of feeling financially squeezed. The effect of numeracy on financial wellbeing was remarkably consistent across levels of education, ethnicity, and gender, suggesting that improving numeracy levels in the population may be an effective strategy to increase financial capability across the board. However, while numerate individuals were less likely to experience financial difficulty, high numeracy did not predict narrower gaps between Whites …


Lessons From The Pandemic, Nathan D. Grawe Jul 2021

Lessons From The Pandemic, Nathan D. Grawe

Numeracy

The COVID-19 pandemic highlights the importance of quantitative literacy--for policy makers and the public at large. While all aspects of numeracy have been shown relevant to the past year, our need for broader statistical literacy appear particularly pressing. Pandemic experiences may motivate greater interest in developing numeracy skills.


Confidence Intervals Of Covid-19 Vaccine Efficacy Rates, Frank Wang May 2021

Confidence Intervals Of Covid-19 Vaccine Efficacy Rates, Frank Wang

Numeracy

This tutorial uses publicly available data from drug makers and the Food and Drug Administration to guide learners to estimate the confidence intervals of COVID-19 vaccine efficacy rates with a Bayesian framework. Under the classical approach, there is no probability associated with a parameter, and the meaning of confidence intervals can be misconstrued by inexperienced students. With Bayesian statistics, one can find the posterior probability distribution of an unknown parameter, and state the probability of vaccine efficacy rate, which makes the communication of uncertainty more flexible. We use a hypothetical example and a real baseball example to guide readers to …


Computing For Numeracy: How Safe Is Your Covid-19 Social Bubble?, Charles Connor Jan 2021

Computing For Numeracy: How Safe Is Your Covid-19 Social Bubble?, Charles Connor

Numeracy

The COVID-19 pandemic has led many people to form social bubbles. These social bubbles are small groups of people who interact with one another but restrict interactions with the outside world. The assumption in forming social bubbles is that risk of infection and severe outcomes, like hospitalization, are reduced. How effective are social bubbles? A Bayesian event tree is developed to calculate the probabilities of specific outcomes, like hospitalization, using example rates of infection in the greater community and example prior functions describing the effectiveness of isolation by members of the social bubble. The probabilities are solved for two contrasting …


Using Covid-19 Vaccine Efficacy Data To Teach One-Sample Hypothesis Testing, Frank Wang Jan 2021

Using Covid-19 Vaccine Efficacy Data To Teach One-Sample Hypothesis Testing, Frank Wang

Numeracy

In late November 2020, there was a flurry of media coverage of two companies’ claims of 95% efficacy rates of newly developed COVID-19 vaccines, but information about the confidence interval was not reported. This paper presents a way of teaching the concept of hypothesis testing and the construction of confidence intervals using numbers announced by the drug makers Pfizer and Moderna publicized by the media. Instead of a two-sample test or more complicated statistical models, we use the elementary one-proportion z-test to analyze the data. The method is designed to be accessible for students who have only taken a …


How To Lie With Coronavirus Statistics: Campbell's Law And Measuring The Effects Of Covid-19, Joel Best Dec 2020

How To Lie With Coronavirus Statistics: Campbell's Law And Measuring The Effects Of Covid-19, Joel Best

Numeracy

Campbell's Law warns that when measurements become consequential those whose performance is being measured may try to skew the results. This case study examines the Trump administration's efforts to present COVID-19 statistics that would discourage restricting economic activities and encourage reopening the economy.


Factors In The Probability Of Covid-19 Transmission In University Classrooms, Charles Connor Jul 2020

Factors In The Probability Of Covid-19 Transmission In University Classrooms, Charles Connor

Numeracy

University students and faculty members need an effective strategy to evaluate and reduce the probability that an individual will become infected with COVID-19 as a result of classroom interactions. Models are developed here that consider the probability an individual will become infected as a function of: prevalence of the disease in the university community, number of students in class, number of class meetings, and transmission rate in the classroom given the presence of an infected individual. Absolute probabilities that an individual will become infected in a classroom environment cannot be calculated because some of these factors have unknown values. Nevertheless, …


Quantitative Literacy: A Tool For Survival, Gizem Karaali Jul 2020

Quantitative Literacy: A Tool For Survival, Gizem Karaali

Numeracy

In the context of a global pandemic, the need for quantitative literacy has become more urgent. QL and QL-adjacent habits of mind, such as awareness of the limitations of data and modeling, are vital tools of survival that can help people understand today's fast-changing world and make decisions about next actions, in particular in relation to the ongoing protests supporting the #BlackLivesMatter movement. QL does not provide a final answer to most human questions, but it can be an invaluable guide for each individual decision maker.