Resources Repository
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Resource PortalWeb Portal, Teaching Resource 2024Millennium Mathematics Project (MMP)
The Millennium Mathematics Project (MMP), a collaboration between the Faculties of Mathematics and Education at the …
The Millennium Mathematics Project (MMP), a collaboration between the Faculties of Mathematics and Education at the University of Cambridge, is a maths education and outreach initiative for ages 3 to 19 and the general public. The focus is on increasing mathematical understanding, confidence and enjoyment, developing problem-solving skills, and promoting creative and imaginative approaches to maths. The project consists of a family of complementary programmes, including the NRICH website, Plus online mathematics magazine, Wild Maths, and…
Probability/Bayes | Mathematical Models | Decision Analysis | Environmental Health | Test Performance | Risk Analysis | Infectious Diseases | Child/Nutrition | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Probability Revision and Bayes
In this teaching pack on Probability Revision and Bayes, students are introduced to the implications …
In this teaching pack on Probability Revision and Bayes, students are introduced to the implications of imperfect information, acquire a conceptual understanding of Bayes theorem, and gain practical skills in performing probability revision. Materials include an instructor's note, videos, companion slides, a glossary, an annotated bibliography, sample exercises, and additional support. Learning Objectives Demonstrate a conceptual understanding of Bayes’ theorem and probability revision. Differentiate between test characteristics (e.g., probability of positive test given…
Probability/Bayes | Decision Analysis | Environmental Health | Test Performance | Health/Medicine | College | Graduate | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
Teaching PackWeb Portal, Teaching Resource 2023Teaching Pack: Heuristics with Joe Pliskin
This teaching pack, curated by the Center for Health Decision Science, features videos introducing heuristics …
This teaching pack, curated by the Center for Health Decision Science, features videos introducing heuristics used in decision making. While these “mental shortcuts” can be useful in some circumstances, they can lead to more errors than deliberate, rational thinking. An awareness of these heuristics is useful to decision makers. This series of videos on heuristics was developed by Professor Joe Pliskin during his residency with the CHDS Media Hub led by Jake Waxman. They reflect…
Probability/Bayes | Clinical Care | Decision Theory | Decision Psychology | Preferences/Values | Chronic Disease/Risk | Business/Industry | Economics/Finance | Health/Medicine | High School | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Resource PackPublication, Teaching Resource 2021Resource Pack: Role of Heuristics in Avalanche Education
Making decisions about backcountry skiing requires one to predict, manage, and mitigate avalanche risk. Individuals …
Making decisions about backcountry skiing requires one to predict, manage, and mitigate avalanche risk. Individuals need to understand and be comfortable with the language of probability, as well as appreciate the cognitive biases that can come into play in the context of decision making. This collection includes articles that range from early attempts to identify “heuristic traps,” based on a retrospective analysis of avalanche accidents in the United States more than 20 years ago, to…
Probability/Bayes | Injuries/Accidents | Decision Psychology | Climate/Environment | Culture/Society | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Decision Making/Leadership -
Tools/ModelsInteractive, Teaching Resource 2020Interactive Graphic: Interpreting a COVID-19 Test Result
Currently, the most common diagnostic test for COVID-19 relies on reverse transcriptase polymerase chain reaction …
Currently, the most common diagnostic test for COVID-19 relies on reverse transcriptase polymerase chain reaction (RT-PCR), and most often uses samples obtained from the respiratory tract by nasopharyngeal swab. This interactive graphic demonstrates the influence of the prior probability of COVID-19, the test sensitivity (i.e., the probability of a positive test conditional on disease presence), and the test specificity (i.e., the probability of a negative test conditional on disease absence) on the post-test probability of…
Probability/Bayes | Clinical Care | Test Performance | Infectious Diseases | Health/Medicine | Science/Technology | High School | College | Graduate | Doctoral | Professional | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Valuing Individual Health Outcomes
In this teaching pack on Valuing Individual Health Outcomes, students learn how to assign quantitative …
In this teaching pack on Valuing Individual Health Outcomes, students learn how to assign quantitative values to health outcomes at the individual level, including: expected utility theory, the axioms of this theory, distinguishing between preference-based measures of value and health-related quality of life outcomes, measuring utility using the standard gamble, the time trade-off, and the visual analog scale, and understanding the limitations of these measures. Materials include an instructor's note, videos, companion slides, a glossary,…
Decision Analysis | Injuries/Accidents | Preferences/Values | Health Outcomes | Economics/Finance | Health/Medicine | College | Graduate | Doctoral -
Lesson/ModuleWeb Portal, Teaching Resource 2016Educational Module: Models and Practice
This module is an introduction to models and to their role in regulatory decision-making, and …
This module is an introduction to models and to their role in regulatory decision-making, and is intended for non-scientists from a variety of different backgrounds including law, journalism, public policy, and business. The module covers three main themes: (1) Core lessons on using models for policy making; (2) Key questions on the art and science of modeling including how models differ from other scientific techniques; and (3) Key ideas on using models in policy-making including how…
Mathematical Models | Environmental Health | Priority Setting/Ethics | Policy/Regulation | Business/Industry | Climate/Environment | Government/Law | Health/Medicine | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Conceptual Mapping | Decision Making/Leadership -
Lesson/ModuleWeb Portal, Teaching Resource 2016DNA Evidence: Case Study in Probabilities
This educational module on DNA evidence presents trial testimony, exhibits, and opinions in a case …
This educational module on DNA evidence presents trial testimony, exhibits, and opinions in a case in which federal courts at every level discerned “inaccuracies” in the testimony of a leading expert about probabilities associated with the DNA evidence. By embedding these legal materials in background explanations, critical questions, and short problems, the module supports self-study and class discussions that together can elucidate key principles in scientific reasoning and quantitative analysis and that can help students…
Probability/Bayes | Injuries/Accidents | Test Performance | Risk Analysis | Government/Law | Health/Medicine | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2016Educational Module: Shale Gas Development
This module has been developed around the topic of the extraction of natural gas from …
This module has been developed around the topic of the extraction of natural gas from shale. This practice, commonly referred to as fracking, involves several practices that have complex and uncertain consequences. In the module, three scientific concepts are explored in order to elucidate how science is applied toward addressing real-world problems. The scientific concepts are: (1) correlation is not the same as causation, (2) hazard is not the same as risk, and (3) risk…
Probability/Bayes | Environmental Health | Risk Analysis | Policy/Regulation | Business/Industry | Climate/Environment | Energy/Engineering | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership