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 | Test Performance | Mathematical Models | Decision Analysis | Risk Analysis | Infectious Diseases | Child/Nutrition | Environmental Health | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Introduction to Decision Analysis
In this teaching pack on Introduction to Decision Analysis, students are provided a basic introduction to …
In this teaching pack on Introduction to Decision Analysis, students are provided a basic introduction to the field of decision analysis in the context of public health. After differentiating simple "relatively automatic" decisions from those that might require more systematic analysis, students are introduced to the core elements of a decision analysis (e.g., objectives, alternatives, probabilities, and outcomes), and the basic steps of a decision analysis. Materials include an instructor's note, videos, companion slides, a glossary,…
Probability/Bayes | Decision Psychology | Preferences/Values | Decision Analysis | Cost-Effectiveness Analysis | Health/Medicine | Global | College | Graduate | Critical Thinking/Analysis | 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 | Test Performance | Decision Analysis | Environmental Health | Health/Medicine | College | Graduate | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Using Test Information I
In this teaching pack on Using Test Information I, students review the performance of a …
In this teaching pack on Using Test Information I, students review the performance of a dichotomous test and the relationship between sensitivity and specificity, calculate likelihood ratios to describe test performance, and conduct probability revision using the odds-LR form of Bayes. Materials include an instructor's note, videos, companion slides, a glossary, an annotated bibliography, and sample exercises. Learning Objectives Calculate four conditional probabilities describing the performance of a dichotomous test, and explain the…
Probability/Bayes | Test Performance | Decision Analysis | Child/Nutrition | Health/Medicine | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Using Test Information II
In this teaching pack on Using Test Information II, students are introduced to tests with …
In this teaching pack on Using Test Information II, students are introduced to tests with continuous or categorical results, and calculate the sensitivity and specificity conditional on different 'cutoff points' or 'positivity criterion'. They are introduced to ROC curves and explore the implications of operating at different parts of the curve for any single test. They calculate the optimal positivity criterion given information on the prior, the test performance, and the relative consequences of true…
Probability/Bayes | Test Performance | Decision Analysis | Health/Medicine | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy -
Resource PortalWeb Portal, Teaching Resource 2024Decision Sciences Institute
The Decision Sciences Institute (DSI) was founded in 1968 as the American Institute for the …
The Decision Sciences Institute (DSI) was founded in 1968 as the American Institute for the Decision Sciences (renamed to the Decision Science Institute in 1986). DSI is an independent non-profit organization with a mission to enrich the discipline of decision sciences and improve educational programs and instruction in decision sciences. DSI conducts annual meetings at the national and the regional levels, and produces a monthly news publication called “Decision Line” as well as two journals,…
Operations Research | Decision Analysis | Business/Industry | Climate/Environment | Health/Medicine | Global | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Quantitative Literacy -
Online LearningVideo, Teaching Resource 2023Khan Videos: Conditional Probability
These three videos, produced by Khan Academy, focus on conditional probability. Conditional probability with Bayes' …
These three videos, produced by Khan Academy, focus on conditional probability. Conditional probability with Bayes' Theorem (~5 min). Created by Brit Cruise, this video presents conditional probability visually using trees. Conditional probability and independence (~4 min). This video uses conditional probability to see if events are independent or not. Conditional probability tree diagram (~11 min). This video uses a tree diagram to work out the following conditional probability question: If someone fails a drug test, what is the…
Probability/Bayes | Health/Medicine | Science/Technology | High School | College | Graduate | Quantitative Literacy -
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 | Test Performance | Risk Analysis | Injuries/Accidents | 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 | Risk Analysis | Environmental Health | Policy/Regulation | Business/Industry | Climate/Environment | Energy/Engineering | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership