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A Course in Quantitative Literacy
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Why study Quantitative Literacy?

Most students sign up for this course to fulfill a general education mathematics requirement. And this text is certainly aimed at that general audience. But by the time the course is completed, the authors hope that you will have developed some appreciation for the usefulness and elegance of the subject. Without doubt, some level of competency and comfort in working with numerical data is needed to navigate the modern world; and we have tried to cover topics that can be used in day to day life.

In this book, we will focus on problem solving and critical thinking skills. Our goal is not to prepare you just for the next math class, but to equip you with the necessary tools so that you can apply basic mathematical reasoning to a wide variety of commonly encountered problems. Along the way, we will learn basic logic, how to work with percentages and units, the basics of consumer finance, and how to use and interpret basic statistical data.

Subject:
Mathematics
Material Type:
Textbook
Provider:
College of Lake County
Author:
Azar Khosravani
Mark Beintema
Date Added:
02/27/2020
Creating a Spam Filter
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This activity asks students to work in a team to develop a set of rules that can be used to program a SPAM filter for a client. The rules are based on characteristics of the subject lines of emails. Students are given samples of SPAM and non-SPAM subject lines to examine. After their rules are ready, they are given a test set of data to use and are asked to come up with a numerical measure to quantify how well their method (model) works. Each team writes a report describing how their model works and how well it performed on the test data. This activity could serve as an introduction to ideas of classification. Alternatively, the activity could be the basis for student introduction to types of statistical errors.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Measuring Study Effectiveness
Date Added:
08/28/2012
Current use of Technology in Teaching Introductory Statistics by Igor Baryakhtar
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Igor Baryakhtar's Presentation at Virtual NEMATYC 2021 Conference, 4/08/2021.The technologies that support learning of introductory statistics are reviewed. Advantages and disadvantages of using Graphing calculator TI 83 / TI 84, StatCrunch (Pearson's web- based statistical software), Apple Numbers, Microsoft Excel, R language and software is discussed. Tablet implementation of Introductory Statistic Open Education Resources based course is described.

Subject:
Mathematics
Material Type:
Teaching/Learning Strategy
Author:
Igor Baryakhtar
Date Added:
04/11/2021
Curve Fitting
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With your mouse, drag data points and their error bars, and watch the best-fit polynomial curve update instantly. You choose the type of fit: linear, quadratic, cubic, or quartic. The reduced chi-square statistic shows you when the fit is good. Or you can try to find the best fit by manually adjusting fit parameters.

Subject:
Mathematics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Trish Loeblein
Date Added:
08/01/2008
Data Analysis
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The applet in this section allows for simple data analysis of univariate data. Users can either generate normal or uniform data for k samples or copy and paste data from another source to a text box. A univariate analysis is performed for all k samples.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Consortium for the Advancement of Undergraduate Statistics Education
Provider Set:
Causeweb.org
Author:
C. Anderson-Cook, S. Dorai-Raj, T. Robinson, Virginia Tech Department of Statistics
Date Added:
02/16/2011
DataExplore
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CC BY-NC-SA
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This is a desktop application for visualization of data with convenient plotting functions. It is intended for educational/scientific use and teaching data analysis skills such as aggregation, merging data and getting statistics.
Though the program has a spreadsheet like interface, the focus is on data manipulation with very configurable 2D/3D plotting rather than data entry. Though basic cell editing and row/column changes are supported. The program is open source., licensed under the GPL.
This program is suitable for use by secondary school and third level students wishing to learn about data manipulation and advanced plotting.

Subject:
Applied Science
Computer Science
Material Type:
Interactive
Author:
Damien Farrell
Date Added:
02/28/2014
Data Science Lessons Grades 6-10
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CC BY
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This page shares five units of youcubed lessons for grades 6-10 that introduce students (and teachers) to data science. The units start with an introduction to the concept of data and move to lessons that invite students to explore their own data sets. These lessons teach important content through a pattern-seeking, exploratory approach, and are designed to engage students actively.







Data Science LessonsThis page shares five units of youcubed lessons for grades 6-10 that introduce students (and teachers) to data science. The units start with an introduction to the concept of data and move to lessons that invite students to explore their own data sets.  These lessons teach important content through a pattern-seeking, exploratory approach, and are designed to engage students actively. The culminating unit is a citizen science project that gives students an opportunity to conduct a data inquiry. The lessons accompany a new online course for teachers, where some of the lessons are featured, along with other lesson ideas. These lessons are offered with ideas for in-person or online teaching, and can be taught at any time of year.









LessonsTeacher Online Course: 21st Century Teaching and LearningUnit 1: Data Is EverywhereUnit 2: Working With Data Analysis ToolsUnit 3: Measures of Center & SpreadUnit 4: Understanding VariabilityUnit 5: A Community Data Collection Project

ResourcesHigh School Data Science CourseCODAPWhat's Going On In This Graph?Data Science Initiative VideoThe Data Science K-12 MovementData Talks



Cool Extras




What are Data Talks?






A Picture Book Introduction to Data Science






Measures of Center and Spread Animated Movies






Stanford News Press Release

Subject:
Applied Science
Mathematics
Measurement and Data
Statistics and Probability
Material Type:
Full Course
Author:
YouCubed
Date Added:
09/23/2020
Data Storytelling Studio: Climate Change
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This course explores visualization methodologies to conceive and represent systems and data, e.g., financial, media, economic, political, etc., with a particular focus on climate change data in this version of the course. Topics include basic methods for research, cleaning, and analysis of datasets, and creative methods of data presentation and storytelling. The course considers the emotional, aesthetic, ethical, and practical effects of different presentation methods as well as how to develop metrics for assessing impact. Coursework includes readings, visualization exercises, and a final project.

Subject:
Anthropology
Arts and Humanities
Business and Communication
Communication
Graphic Arts
Social Science
Visual Arts
Material Type:
Full Course
Provider Set:
MIT OpenCourseWare
Author:
Bhargava, Rahul
Date Added:
02/01/2017
Data Talks Archives
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CC BY
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Data talks are short 5-10 minute classroom discussions to help students develop data literacy. This pedagogical strategy is similar in structure to a number talk, but instead of numbers students are shown a data visual and asked what interests them.

Subject:
Applied Science
Mathematics
Measurement and Data
Statistics and Probability
Material Type:
Teaching/Learning Strategy
Author:
YouCubed
Date Added:
09/23/2020
Degrees of Freedom in Planning, Running, Analyzing, and Reporting Psychological Studies: A Checklist to Avoid p-Hacking
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The designing, collecting, analyzing, and reporting of psychological studies entail many choices that are often arbitrary. The opportunistic use of these so-called researcher degrees of freedom aimed at obtaining statistically significant results is problematic because it enhances the chances of false positive results and may inflate effect size estimates. In this review article, we present an extensive list of 34 degrees of freedom that researchers have in formulating hypotheses, and in designing, running, analyzing, and reporting of psychological research. The list can be used in research methods education, and as a checklist to assess the quality of preregistrations and to determine the potential for bias due to (arbitrary) choices in unregistered studies.

Subject:
Psychology
Social Science
Material Type:
Reading
Provider:
Frontiers in Psychology
Author:
Coosje L. S. Veldkamp
Hilde E. M. Augusteijn
Jelte M. Wicherts
Marcel A. L. M. van Assen
Marjan Bakker
Robbie C. M. van Aert
Date Added:
08/07/2020
Design of Electromechanical Robotic Systems
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This course covers the design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Topics include basic statistics, linear systems, Fourier transforms, random processes, spectra, ethics in engineering practice, and extreme events with applications in design.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Mathematics
Material Type:
Full Course
Provider Set:
MIT OpenCourseWare
Author:
Chin, Harrison (Hsinyung)
Hover, Franz
Date Added:
09/01/2009
The Digital Divide: A Data Analysis Activity Using Subtotals
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Spreadsheets Across the Curriculum module. Students analyze a given data set to understand the "Digital Divide" by means of percentages and the Subtotal tool in Excel.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Maryann Allen
Date Added:
11/06/2014
Digital Escape Room for College Probability and Statistics
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A review activity for college probability and statistics. Topics include:~Plausible values for population mean based on a confidence interval~The effects of confidence level on the width/precision of the confidence interval~Notations for sample statistics and population parameters~Comparing p-values to a significance level to make a hypothesis test decision~Evaluating the strength of statistical evidence in a hypothesis test(Thanks to Dr. Justin Grieves, math professor at Charleston Southern University, for providing problems for the activity, the use of his name and picture.)

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Game
Interactive
Author:
Karen Meharg
Date Added:
06/14/2023
Digital South Asia Library
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The Digital South Asia Library provides digital materials for reference and research on South Asia to scholars, public officials, business leaders, and others. Participants in the Digital South Asia Library include leading U.S. universities, the Center for Research Libraries, the South Asia Microform Project, the Committee on South Asian Libraries and Documentation, the Association for Asian Studies, the Library of Congress, the Asia Society, the British Library, the University of Oxford, the University of Cambridge, MOZHI in India, the Sundarayya Vignana Kendram in India, Madan Puraskar Pustakalaya in Nepal, and other institutions in South Asia. James Nye is a CAORC Multi-Country Research Fellowship alum, who traveled to Sri Lanka, Maldives, Nepal, and India on the fellowship.

Subject:
History
World History
Material Type:
Data Set
Student Guide
Author:
James Nye
Date Added:
10/16/2024
Dirty Jobs vs. Clean Jobs
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Spreadsheets Across the Curriculum module. Students use spreadsheets to help find the difference in percentages of salaries between dirty and clean jobs.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Polly McMahon
Date Added:
11/06/2014
Economic Research Methods
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Master statistical and econometric tools along with coding in R, to analyze data and answer economic questions.

Subject:
Economics
Social Science
Material Type:
Full Course
Author:
Div Bhagia
Date Added:
11/09/2024
Economic Statistics: Hypothesis Testing
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This activity helps a student recognize the consequences of Type I and Type II errors in hypothesis testing.

Subject:
Business and Communication
Economics
Mathematics
Social Science
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teaching and Learning Economics (SERC)
Author:
Rae Jean Goodman
Date Added:
08/28/2012
Empirical assessment of published effect sizes and power in the recent cognitive neuroscience and psychology literature
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We have empirically assessed the distribution of published effect sizes and estimated power by analyzing 26,841 statistical records from 3,801 cognitive neuroscience and psychology papers published recently. The reported median effect size was D = 0.93 (interquartile range: 0.64–1.46) for nominally statistically significant results and D = 0.24 (0.11–0.42) for nonsignificant results. Median power to detect small, medium, and large effects was 0.12, 0.44, and 0.73, reflecting no improvement through the past half-century. This is so because sample sizes have remained small. Assuming similar true effect sizes in both disciplines, power was lower in cognitive neuroscience than in psychology. Journal impact factors negatively correlated with power. Assuming a realistic range of prior probabilities for null hypotheses, false report probability is likely to exceed 50% for the whole literature. In light of our findings, the recently reported low replication success in psychology is realistic, and worse performance may be expected for cognitive neuroscience.

Subject:
Psychology
Social Science
Material Type:
Reading
Provider:
PLOS Biology
Author:
Denes Szucs
John P. A. Ioannidis
Date Added:
08/07/2020