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Website
Other

Skeptic's Dictionary: Piltdown Hoax

For Students 9th - 10th
Was the Piltdown Hoax proof that science is "bunk" or was it just a temporary detour demonstrating the fallibility and human quality of scientific knowledge? These pages explores why so many scientists appeared to be duped by the...
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Website
Other

Epsilones: Problemas Pi

For Students 9th - 10th Standards
Use logic or your knowledge of mathematics to solve this collection of math problems. Solutions are provided. [In Spanish]
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Interactive
Other

Puzzle Parlor

For Students 9th - 10th
Find a collection of colorful, interactive, challenging puzzles: Hexnut Jr., Quintapaths, Roundominoes, and others.
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eBook
Other

College of the Holy Cross: The Logic of Scientific Reasoning [Pdf]

For Students 9th - 10th
Explore the idea of the logic of scientific reasoning with this discussion of how science, thinking, and reasoning relate to one another.
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Lesson Plan
PBS

Pbs Mathline Lesson: Mix It Up [Pdf]

For Teachers 3rd - 5th
A lesson based on the story, "Oliver's Fruit Salad," where young scholars explore the concept of proportional reasoning through modeling, student sharing, and questioning. A great introductory lesson for this concept that is sure to...
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Graphic
Cut the Knot

Cut the Knot!: Mathematics: The Science of Patterns

For Students 9th - 10th
A book excerpt, this page discusses John Venn's "simple, geometric method for checking the validity of syllogisms," with diagrams, examples, and related links.
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eBook
Math Planet

Math Planet: Geometry: If Then Statement

For Students 9th - 10th Standards
If-then statements are explained throught the use of examples and a video lesson. [1:16]
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Handout
Grammarly

Grammarly Handbook: Methods of Reasoning

For Students 9th - 10th Standards
A list (with examples) of common errors in logic including the following: non sequiturs, hasty generalization circular argument, ad hominem, ad populum, and red herring.
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Handout
Biology 4 kids

Biology4 Kids: Logical Reasoning

For Students 3rd - 8th
Learn how logic and reasoning play a part in everyday thinking, and how deductive and inductive reasoning leads investigators to conclusions.
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Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Don't Fall In

For Students 3rd - 8th
Have you ever wondered why manhole covers are round? Believe it or not, there is a logical, mathematical reason. See if you can figure it out in this NCTM Math Challenge for Families activity. A one-page activity with suggested life...
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Interactive
ABCya

Ab Cya: Sugar, Sugar Logic Game

For Students 3rd - 5th
Practice your strategic thinking skills with this game.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Deductive Reasoning

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson students use deductive reasoning to solve problems. Students examine guided notes, review guided practice, watch instructional videos and attempt...
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Handout
Stanford University

Medieval Theories of Analogy

For Students 9th - 10th
Read about the history of the use of analogies, beginning in the Middle Ages. Discusses analogies in terms of logic, theology, and metaphysics. Very informative.
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Handout
Stanford University

Stanford Encyclopedia of Philosophy: Aristotle's Logic

For Students 9th - 10th
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,"...
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Handout
Stanford University

Stanford Encyclopedia of Philosophy: Logical Form

For Students 9th - 10th
A terrific introduction from the Stanford Encyclopedia of Philosophy to the conventions of notation and form in logic, and indeed to logical philosophy in general. Discusses the logical semantics of propositions, description, analysis,...
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Website
Stanford University

Stanford Encyclopedia of Phil.: Principia Mathematica

For Students 9th - 10th
This site from the Stanford Encyclopedia of Philosophy briefly explains the history and significance of the famous logical treatise by Whitehead and Russell. Lists the table of contents from each of its three volumes.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: If Then Statements

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to rewrite statements in if-then form and determine the hypothesis and conclusion. Students examine guided notes, review guided...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Induction and Inequalities

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] The transitive property of inequality and induction with inequalities. Students examine guided notes, review guided practice, watch instructional videos and attempt...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Induction and Factors

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Students learn to use mathematical induction with integer factoring properties. Students examine guided notes, review guided practice, watch instructional videos and...
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Unit Plan
CK-12 Foundation

Ck 12: Ferromagnetic Material: Maximizing 4 Pizza Slices

For Students 9th - 10th
[Free Registration/Login Required] Students explore the concept of conjectures and counterexamples by navigating through the interactive learning module and then answering questions that go along with the module. Students can also learn...
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Activity
University of Cambridge

University of Cambridge: Nrich: Triangles to Tetrahedra

For Students 3rd - 8th Standards
Given an unlimited number of a specific type of equilateral, isosceles, and right triangles create as many tetrahedra as are possible. Includes printout.
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Interactive
University of Cambridge

University of Cambridge: Nrich: Net Cuts

For Students 3rd - 5th Standards
In this enrichment game, the nets for nine solids are displayed. The twist is that each net has been cut into two pieces. The challenge is find the pieces that go together.
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Activity
University of Cambridge

University of Cambridge: Nrich: Konigsberg Plus

For Students 9th - 10th
See if you can solve this classic problem that Leonhard Euler first presented in 1736. Use the interactive section of this website to help you.
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Activity
University of Cambridge

University of Cambridge: Nrich: Seating Arrangements Plus!

For Students 3rd - 8th
Using your reasoning skills and the clues provided, try to figure out who is sitting where at this table of six. Check the solution and see if you are correct. You can choose similar games and math problems on this page, or choose math...