How Do We Know?

About the Book

HOW DO WE KNOW? Yes, You can learn Algebra! presents a system for review of arithmetic and algebra which can remove the "mystery" of arithmetic calculations and enable students to see the beauty of the mystery of mathematics and science. HOW DO WE KNOW? Yes, You can learn Algebra! contains operant conditioning in the form of Precision Teaching, and reflexive thinking in the form of justification tables reminiscent of formal geometric proofs. The HOW DO WE KNOW? Yes, You can learn Algebra! materials presuppose that students have forgotten the basics of arithmetic and algebra, and need a review. Students are led stepwise through a review of mathematics from properties of real numbers , multiplications tables operations with fractions through solving equations and straight lines. The system is designed to have students continually explaining to themselves what mathematical process the are performing. After a brief familization with the materials students are able to work on their own. The exercises are designed to be used in timed sessions with students correcting their papers and correcting their own papers.

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