**ERIC Number:**ED040849

**Record Type:**RIE

**Publication Date:**1969-Oct

**Pages:**61

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

Effects of Precise Verbalization of Discovered Mathematical Generalizations on Transfer, Final Report.

Retzer, Kenneth A.

Reported is an experiment designed to (1) test the effect of teaching certain concepts of logic on verbalization of discovered mathematical generalizations, (2) prepare a research population which has demonstrated the ability to verbalize newly discovered mathematical generalizations with precision, and (3) test the effect of an ability to verbalize discovered mathematical generalizations upon the ability to use that generalization. The sample consisted of eighth grade students of Chiddix Junior High School in Normal, Illinois. They were enrolled in seven mathematics classes taught by three teachers. Students in Phase I completed a programmed unit "Sentence of Logic." Phase II consisted of discovery programs using nonverbal awareness, verbalization on the part of the text, and verbalization on the part of the student. Phase I of the experiment yielded "normal" population to verbalize discovered mathematical generalizations with precision. Evidence from Phase II indicated that those students with high verbalization ability could better transfer the mathematical generalizations which they discovered. (RP)

Descriptors: Grade 8, Instruction, Learning, Mathematical Logic, Secondary School Mathematics, Verbal Communication

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**Office of Education (DHEW), Washington, DC. Bureau of Research.

**Authoring Institution:**Illinois State Univ., Normal. Dept. of Mathematics.

**Identifiers:**N/A