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…
Test Performance | Probability/Bayes | 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: 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…
Test Performance | Probability/Bayes | 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…
Test Performance | Probability/Bayes | Decision Analysis | Health/Medicine | College | Graduate | Doctoral | Critical Thinking/Analysis | 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…
Test Performance | Probability/Bayes | 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 2016Placing a Bet: New Therapy for Parkinson's Disease
This module is intended for use by business school students. It examines the decision-making process …
This module is intended for use by business school students. It examines the decision-making process at a pharmaceutical company as its chief operating officer decides whether to invest in the development and licensing of a promising treatment for Parkinson’s disease. The module is structured around a drug development case that provides students with opportunities to: (1) analyze a rich and realistic description of the complex scientific and medical results associated with a promising therapeutic molecule…
Test Performance | Technology Assessment | Chronic Disease/Risk | Policy/Regulation | Business/Industry | Government/Law | Health/Medicine | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2016Educational Module: Forensic Pattern Recognition
This module uses latent print (fingerprint) identification as a case study of the broader category …
This module uses latent print (fingerprint) identification as a case study of the broader category of forensic pattern recognition evidence. The case of forensic pattern recognition evidence is meant, in turn, to be a case study of the broader issue of the interaction between science and law and policy. The case of fingerprinting identification poses challenging questions for legal professionals and policy-makers. Although fingerprint identification is one of the most widely used and widely trusted…
Decision Theory | Probability/Bayes | Decision Analysis | Policy/Regulation | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2014Maths and Our Health
This learning module provides teaching packs to explore biomedical real-world applications of probability and statistics …
This learning module provides teaching packs to explore biomedical real-world applications of probability and statistics in decision-making. Each pack provides videos and supplemental materials, including presentations, worksheets, and games. Topics include: “Eating Bacon Sandwiches is Bad for You!” Evaluating Risk Epidemics: Modelling with Mathematics Life Saving Maths: How Does Vaccination Work? The Economics of Health: How Do We Decide? The Test is Positive: But What Are the Odds It’s Wrong?
Test Performance | Decision Theory | Mathematical Models | Decision Analysis | Infectious Diseases | Child/Nutrition | Chronic Disease/Risk | Economics/Finance | Health/Medicine | Science/Technology | Global | Middle School | High School | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Resource PackWeb Portal, Teaching Resource 2023Resource Pack: Cost-Effectiveness of Screening and Treatment for Hypertension
Hypertension is a relevant example for teaching clinical decision making, diagnostic test performance, positivity criterion, …
Hypertension is a relevant example for teaching clinical decision making, diagnostic test performance, positivity criterion, and cost-effectiveness analysis. This resource pack provides examples of decision analyses and cost-effectiveness analyses for the management and treatment of hypertension, with a predominant focus on the U.S. Analyses are included that predate the 2017 American College of Cardiology/American Heart Association Clinical Practice Guidelines, along with more recent examples that followed release of the guidelines. Resources are also included that…
Test Performance | Preferences/Values | Decision Analysis | Cost-Effectiveness Analysis | Chronic Disease/Risk | Clinical Care | Economics/Finance | Health/Medicine | Science/Technology | North America | Europe | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Policy Translation | 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…
Test Performance | Probability/Bayes | Decision Analysis | Environmental Health | Health/Medicine | College | Graduate | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy