Mathematical Proofs

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Mathematical Proofs

Description:

In this lesson, students explore the nature of logic, evidence, and mathematical proofs and inquiry. This lesson is appropriate after students are familiar with the Pythagorean Theorem.

Education Levels:

9, 10, 11, 12

Subject:

Process Skills, Geometry

Resource Type:

Lesson plan

Fee Status:

Free

Online provider:

American Association for the Advancement of Science

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Keywords:

Pythagorean Theorem, Mathematical proofs, Fermat's Last Theorem, Logic

Mediator:

Secondary school teachers

Publisher:

Science Netlinks

Is Part Of:

http://www.sciencenetlinks.com/

Language:

English

Subjects/Topics

P21 Subject:

Mathematics

Learning Outcomes:

Conforms To

Benchmarks for Science Literacy (1993)

2. THE NATURE OF MATHEMATICS

C. Mathematical Inquiry

2C (9-12) #1 Some work in mathematics is much like a game—mathematicians choose an interesting set of rules and then play according to those rules to see what can happen. The more interesting the results, the better. The only limit on the set of rules is that they should not contradict one another.

Conforms To

Benchmarks for Science Literacy (1993)

9. THE MATHEMATICAL WORLD

C. Shapes

9C (9-12) #2 There are formulas for calculating the surface areas and volumes of regular shapes. When the linear size of a shape changes by some factor, its area and volume change disproportionately: area in proportion to the square of the factor, and volume in proportion to its cube. Properties of an object that depend on its area or volume also change disproportionately.

This data provided by the Achievement Standards Network

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Mathematical Proofs

Mathematical Proofs

Subjects/Topics

Learning Outcomes:

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