Other
Skeptic's Dictionary: Piltdown Hoax
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...
Other
Epsilones: Problemas Pi
Use logic or your knowledge of mathematics to solve this collection of math problems. Solutions are provided. [In Spanish]
Other
Puzzle Parlor
Find a collection of colorful, interactive, challenging puzzles: Hexnut Jr., Quintapaths, Roundominoes, and others.
Other
College of the Holy Cross: The Logic of Scientific Reasoning [Pdf]
Explore the idea of the logic of scientific reasoning with this discussion of how science, thinking, and reasoning relate to one another.
PBS
Pbs Mathline Lesson: Mix It Up [Pdf]
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...
Cut the Knot
Cut the Knot!: Mathematics: The Science of Patterns
A book excerpt, this page discusses John Venn's "simple, geometric method for checking the validity of syllogisms," with diagrams, examples, and related links.
Math Planet
Math Planet: Geometry: If Then Statement
If-then statements are explained throught the use of examples and a video lesson. [1:16]
Grammarly
Grammarly Handbook: Methods of Reasoning
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.
Biology 4 kids
Biology4 Kids: Logical Reasoning
Learn how logic and reasoning play a part in everyday thinking, and how deductive and inductive reasoning leads investigators to conclusions.
National Council of Teachers of Mathematics
Nctm: Figure This: Don't Fall In
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...
CK-12 Foundation
Ck 12: Geometry: Deductive Reasoning
[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...
Stanford University
Medieval Theories of Analogy
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.
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,"...
Stanford University
Stanford Encyclopedia of Philosophy: Logical Form
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,...
Stanford University
Stanford Encyclopedia of Phil.: Principia Mathematica
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.
CK-12 Foundation
Ck 12: Geometry: If Then Statements
[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...
CK-12 Foundation
Ck 12: Analysis: Induction and Inequalities
[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...
CK-12 Foundation
Ck 12: Analysis: Induction and Factors
[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...
CK-12 Foundation
Ck 12: Ferromagnetic Material: Maximizing 4 Pizza Slices
[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...
University of Cambridge
University of Cambridge: Nrich: Triangles to Tetrahedra
Given an unlimited number of a specific type of equilateral, isosceles, and right triangles create as many tetrahedra as are possible. Includes printout.
University of Cambridge
University of Cambridge: Nrich: Net Cuts
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.
University of Cambridge
University of Cambridge: Nrich: Konigsberg Plus
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.
University of Cambridge
University of Cambridge: Nrich: Seating Arrangements Plus!
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...