Stanford University
Stanford Ency. Of Philosophy: Paraconsistent Logic
This site from the Stanford Encyclopedia of Philosophy discusses the logical theory of true contradictions, known as paraconsistent logic. Article addresses the history of the theory's development and a technical presentation of its...
Stanford University
Stanford Encyclopedia of Philosophy: Dialetheism
Describes the notion of "dialetheism," the logical theory of true contradictions. Explains its history of development, its philosophical consequences, and its significance for rationality. Excellent bibliography.
Stanford University
Stanford Encyclopedia of Philosophy: Aristotle's Logic
Thorough explanation of Aristotle's several original contributions to logic from the Stanford Encyclopedia of Philosophy. Includes a substantial bibliography as well as sections on syllogism, assertion, demonstration, the "Organon,"...
Education Development Center
Making Mathematics: Proof
This is a site which links to specific techniques of proving including conditional statements, proof by contradiction, mathematical induction, parity arguments, and the pigeonhole principle. The site contains a link to various example...
Mathigon
Mathigon: Axioms and Proof
Explore this course in logic, sets, and proof including topics of axioms, set theory, and proof by contradiction and induction.
Social Science Education Consortium
Ssec: Employment Unemployment: How Can Both Rates Rise at the Same Time? [Pdf]
In this investigation, students are asked to explain a Wall Street Journal (WSJ) announcement about unemployment, and look for a contradiction in the message. Then they are introduced to the definitions of employment, unemployment, and...
Science Buddies
Science Buddies: The Birthday Paradox
This project shows how mathematical probability sometimes contradicts our intuition. Despite the fact that there are 365 days in a year, if you survey a random group of just 23 people there is a 50:50 chance that two of them will have...
Stanford University
Sheg: Document Based History: Reading Like a Historian: Slavery in Constitution
[Free Registration/Login Required] Students use primary source documents to investigate the central historical question about slavery. In this investigation students consider the positions of delegates to the Constitutional Convention...
Oswego City School District
Regents Exam Prep Center: Indirect Euclidean Proofs
This Oswego City School District Regents Exam Prep site shows you how to proof something by showing that it is false. This look at indirect proofs includes a practice and a teacher resource page, which features a warm-up activity.
Other
Harvard University: Justice With Michael Sandel
Justice with Michael Sandel is a twelve-part university-level course about justice, equality, democracy, and citizenship that Harvard University has opened to the public. Using a video-lecture format, Justice gives viewers turns to...
Books in the Classroom
Carol Hurst's Children's Literature Site: Black and White
This site on the book "Black and White" by David Macaulay, includes a review of the book, a listing of things to notice and talk about, activities related to the book, other related books, and links to other resources.
Polk Brothers Foundation Center for Urban Education at DePaul University
De Paul University: Center for Urban Education: Compare Central Idea Across Mult Texts [Pdf]
This Center for Urban Education resource provides a downloadable graphic organizer designed for comparing a central idea across multiple texts.
Thinkport Education
Thinkport: Using Multiple Sources: Sea Turtle Populations
In this science-themed literacy lesson, students learn how to identify the central idea and key details in an article about sea turtles.
Khan Academy
Khan Academy: Courbet, the Artist's Studio
The title of Courbet's painting "The Artist's Studio; A real allegory summing up seven years of my artistic and moral life" contains a contradiction: the words "real" and "allegory" have opposing meanings. Is it possible that Courbet is...
Society for Science and the Public
Science News for Students: Like Poison for Phosphorus
Discusses a research study undertaken at Mono Lake in California, known for its extreme salty conditions, which supports unusual life forms. Scientists found that a bacterium could survive using arsenic instead of phosphorus,...
Science Buddies
Science Buddies: Scientific Method Conclusion
The conclusion of a science experiment summarizes how your results supported or contradicted your hypothesis. See a sample of a conclusion and find out what makes a good conclusion.
University of Hawai'i
University of Hawaii: Modernity of Ethnic Identity & Conflict
A paper discussing the apparent contradiction of racial pluralism in the world today and numerous conflicts that exist simultaneously. The paper discusses modern ethnicity, cultural pluralism, and violence among groups.
Independence Hall Association
U.s. History: Jeffersonian Ideology
An easy to understand overview of the thinking of Thomas Jefferson in terms of politics and the role of the people in political action. See what he feared as the nation was becoming industrialized, and read about the contradictions in...
Oklahoma State University
Oklahoma State University: Ionization Energy Trends
Site that discusses trends in ionization energy across and down the periodic table. Apparent contradictions are explained using electron configurations.
Illustrative Mathematics
Illustrative Mathematics: F Bf Lake Algae
For this task, students analyze the amount of algae growing on the surface of a lake. The purpose of the task is to introduce students to exponential growth. Instead of giving a starting value and asking for subsequent values, it gives...
National Endowment for the Humanities
Neh: Edsit Ement: Esperanza Rising: Learning Not to Be Afraid to Start Over
In this lesson middle schoolers will explore some of the contrasts that Esperanza experiences when she suddenly is forced to leave the life of a wealthy landowner's daughter surrounded by servants to become a servant herself among an...
Other
Sim Professional Development and Enterprise Learning: 3 Reasons Why Systems Thinking Is Important for Innovation
In a world where interconnectedness and complexity hold sway, systems thinking offers a disciplined approach to make sense of the world and find innovative solutions to problems. How can a disciplined systems thinking approach lead...
Countries and Their Cultures
Countries and Their Cultures: Introduction to Africa
This introduction provides some basic information as background for the detailed accounts of the particular cultures that follow. The cultures have been selected to represent Africa, in the sense that they include the larger and...
Other
Platonic Realms: Conic Sections
A proof to show that the square root of two is an irrational number, followed by a shorter and even more beautiful proof.
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