ERIC Number: ED047999
Record Type: RIE
Publication Date: 1971
Reference Count: N/A
Useful Principles of Logic -- Not Truth-Tables -- for Secondary School Mathematics.
In this paper, the point of view is taken that matters of logic which are of principal concern in mathematics are those which deal with the validity of inferences rather than with the truth-values of the sentences being dealt with. Consequently, the author presents and exemplifies some of the most basic inference schemes. He states that knowledge of these rules is basic to learning how to do mathematics and, therefore, that the content of such rules of reasoning should be an integral part of any mathematics course in which proof is an objective. To expect that students acquire skill in giving arguments without including such content is either unfair or assumes that students are born with the ability to reason correctly or that they acquired this skill in previous work. [Not available due to marginal legibility of original document.] (Author/CT)
Descriptors: Deduction, Instruction, Logic, Mathematical Logic, Mathematics, Mathematics Education, Modern Mathematics, Secondary School Mathematics
ERIC Information Analysis Center for Science and Mathematics Education, 1460 West Lane Ave., Columbus, Ohio 43221 (Loan)
Publication Type: N/A
Education Level: N/A
Authoring Institution: Illinois Univ., Urbana. Committee on School Mathematics.