Mathematics and Society - OS X Lion Server

DIDACTICS12.13.14.TEACHING VIA LAB APPROACHESa((continued)performed better than students without partners. Students and teachers found theexperience worthwhile, with major "pluses" being the sharing of skills and thecooperation. Major concerns were social and personality conflicts in the peersand one partner merely copying the other's work. How would you form pairs of studentsin one of your classes?Would you group students on the basis of their body builds?! Yerkovich [1968]found that. for students grouped by body type (non-technically. skinny, wellbuilt.and fat). the average group gains in grade-level scores ranged from 1.7to 2.0. On the other hand. grouping by IQ. interest or socio-economic statusgave an average group gain.."score of at most 1. 3.When a lesson calls for small groups and the unrestricted generation of manyideas ("divergent" thinking). you might consider forming groups which are homogeneouswith respect to divergent thinking. Torrance 11961] found that withstudents in grades 4~6. groups homogeneous with respect to such thinking led toless social stress (bickering, sarcasm. disorder, ••• ) and to greater enjoymentof the task than heterogeneous groups. On the other hand. some homogeneousgroups are not very productive. and in some cases creative thinking is stimulatedby a moderate amount of social stress. How is divergent thinking measured7(Visit the school counselors.) Is divergent thinking important in mathematics7References and Further ReadingsThe Arithmetic Teacher, Vol. 18 (December. 1971).Bisio. Robert.fractionsAbstractsThis issue focuses on the mathematics labopatopy."Effect of manipulative materials on understanding operations within grade V." (University of California at Berkely. 1970), DissertationInternational, Vol. 32A (August. 1971). p. 833.(Carmody, Lenora. "A theoretical and experimental investigation into the role of concreteand semi-concrete materials in the teaching of elementary school mathematics."(The Ohio State University. 1970), Dissertation Abstracts International,Vol. 3lA (January. 1971), p. 3407.Davidson. Patricia. "An annotated bibliography of suggested manipulative devices."..:;Th",-=ec..:.:A-=t-=i-=t;;:hm",'-=e-=t=i-=c-=.Te=a=c",h"-e,,,r:o.' Vol. 15 (October, 1968). pp. 509-512, 514-524.Davidson. Patricia and Walter. Marion. "A laboratory approach." The Slow Learner inMathematics. Thirty-fifth Yearbook of The National Council of Teachers of Mathematics.Washington, D. C. : The National Council of Teachers 0;1' Mathematics, 1972.pp. 221-281.Davis. James. Group Performance. Reading, Massachusetts: Addison-Wesley, 1969.Davis. Robert. "The Madison Project' s approach to a theory of instruction." Journalof Research in Science Teaching. Vol. 2 (June. 1964), pp. 146-162.Dienes. Z. P. and Golding. E. W. Approach to Modern Mathematics. New York: Herder (and Herder. 1971.54