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Topic (Course) 
Technology 
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Proof Without Words: Completin...

Logic and proof (Geometry) 
Java Applet 
Tool 

[2]

Carry out an interactive, geometric "proof without words" for the algebraic technique of completing the square.
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Proofs Involving Segments

Ifthen statements (Geometry) 
Computer 
Support Material 

[1]

Provides some written proofs involving segments as examples of proof writing.
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Turtle Geometry

Logic and proof (Geometry) 
Java Applet 
Tool 

[1]

Move and turn a turtle.
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Picture Proof of the Pythagore...

Logic and proof (Geometry) 
Java Applet 
Tool 

[1]

Stepbystep picture proof of the Pythagorean theorem.
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Pythagoras graphical proof  M...

Logic and proof (Geometry) 
Java Applet 
Tool 

[1]

An interactive applet and associated web page that demonstrates a graphical proof of Pythagoras' Theorem.
The applet shows a right triangle that is replicated and then moved around to demonstra...
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Pythagorean Theorem Lab

Logic and proof (Geometry) 
Computer 
Activity 

[1]

Students do a "web excursion" exploring various proofs and the history of the Pythagorean Theorem.
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Proof as Systematization: Tria...

Logic and proof (Geometry) 
Sketchpad 
Activity 

[1]

Students use Sketchpad to develop a proof for a result that was discovered and used (without proof) in an earlier activity. The link to the activity itself is to a zip file that contains both the a...
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Reasoning Through Proofs

Ifthen statements (Geometry) 
Computer 
Support Material 

[2]

Provides guidelines for writing proofs.
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Proof as Explanation: Distance...

Logic and proof (Geometry) 
Sketchpad 
Activity 

[0]

Students explore the sum of certain distances in an equilateral triangle, and develop a proof to explain their observations. The link to the activity itself is to a zip file that contains both the...
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Proof as Discovery: Kite Midpo...

Logic and proof (Geometry) 
Sketchpad 
Activity 

[0]

Students investigate and prove a property of kites, and use the proof to make a discovery about other quadrilaterals. The link to the activity itself is to a zip file that contains both the activi...
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Proof as Verification: Areas

Logic and proof (Geometry) 
Sketchpad 
Activity 

[0]

Students form a conjecture about the ratio of two areas in a quadrilateral, and use Sketchpad to search for a proof. In the process they verify or disprove their results for two different kinds of ...
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Ask Dr. Math FAQ: About Proofs

Logic and proof (Geometry) 
Computer 
Support Material 

[0]

Questions on "what is a proof?" answered by the math doctors of the Math Forum's Ask Dr. Math service.
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Logical Reasoning (Getting Sta...

Postulates and definitions (Geometry) 
Flash 
Support Material 

[0]

This minilesson defines and explains with the help of some examples, truth value, negation, postulates, and theorems.
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Conditionals (Geometry)

Ifthen statements (Geometry) 
Flash 
Support Material 

[0]

This lesson explains how to use the connectives If… then, in reasoning and write simple logic sentences.
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Converse, Inverse, Bicondition...

Converse, inverse, contrapositive (Geometry) 
Flash 
Support Material 

[0]

This minilesson explains the concepts and application of biconditionals, inverse, converse, and contrapositives.
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Inductive and Deductive Reason...

Inductive reasoning (Geometry) 
Flash 
Support Material 

[0]

This minilesson explains the concepts of inductive and deductive reasoning and about using them.
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Disproving Statements (Geometr...

Logic and proof (Geometry) 
Flash 
Support Material 

[0]

This minilesson explains, with the help of some examples, how to use logical reasoning to prove statements that are true and find counter examples to disprove statements that are false.
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A Geometric Proof of the Pytha...

Logic and proof (Geometry) 
PowerPoint 
Tool 

[0]

This PowerPoint presentation uses animation and color to show a stepbystep geometric proof of the Pythagorean Theorem. It is assumed that students are already familiar with the theorem and its mean...
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Proof as Explanation: Distance...

Logic and proof (Geometry) 
Sketchpad 
Tool 

[0]

Students explore the sum of certain distances in an equilateral triangle, and develop a proof to explain their observations. The link to the tool itself is to a zip file that contains both the ske...
More: lessons, discussions, ratings, reviews,...

Proof as Discovery: Kite Midpo...

Logic and proof (Geometry) 
Sketchpad 
Tool 

[0]

Students investigate and prove a property of kites, and use the proof to make a discovery about other quadrilaterals. The link to the tool itself is to a zip file that contains both the sketch and...
More: lessons, discussions, ratings, reviews,...

Proof as Verification: Areas

Logic and proof (Geometry) 
Sketchpad 
Tool 

[0]

Students form a conjecture about the ratio of two areas in a quadrilateral, and use Sketchpad to search for a proof. In the process they verify or disprove their results for two different kinds of ...
More: lessons, discussions, ratings, reviews,...

Proof as Systematization: Tria...

Logic and proof (Geometry) 
Sketchpad 
Tool 

[0]

Students use Sketchpad to develop a proof for a result that was discovered and used (without proof) in an earlier activity. The link to the tool itself is to a zip file that contains both the sketc...
More: lessons, discussions, ratings, reviews,...

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