The degree to which second and third grade children learn transformational geometry concepts under specific instructional conditions and the effects of transformational geometry instruction upon the children's spatial abilities are studied. Results imply that the students learned aspects of transformational geometry but that their spatial…

The study investigated and compared the effects of a transformation and a non-transformation approach to tenth grade geometry on retention of geometry and on transfer in eleventh grade mathematics. A geometry posttest, an advanced algebra pretest, a geometry retention test, an attitude inventory and an eleventh-grade mathematics achievement test…

Activities designed for levels 1-4 give experience in recognizing shape and form after standard transformations are applied to geometric figures. The activities for the upper levels use a physical projection to provide experience with the properties of similarity. (DT)

Creation of materials for a geometry course using transformations is briefly summarized, then research on its effect upon student learning of geometry concepts and student attitudes towards mathematics is discussed. Implementation and other related questions are considered informally. (DT)

The author examines conceptual and logical difficulties involved in learning and teaching axiomatic geometry. An organization of the school program in geometry from grade 1 through grade 12 is proposed. (JG)

Methods are discussed for transforming sets of data so that properties of the scale used to obtain the data are preserved. A list of suggested activities is included. (MP)

Beginning with a construction problem admitting a classical solution, the authors provide other solutions based on algorithmic estimation and transformational geometry. The latter methods are generalized to suggest solutions to other problems; hints to these solutions are provided. Teacher-student discussion could lead in many directions. (SD)

Assessed was the performance of subjects who had been exposed to transformational geometry treatment. The performance test consisted of geometry achievement and spacial ability measures. Second and third grade subjects were randomly assigned to experimental and control groups. The experimentals received a twelve lesson treatment and the controls a…

The plans for a field test of teaching tenth grade plane geometry through transformations is described. Text and homework materials have been written, and teachers have been trained. Eight intact classes are now being taught utilizing the materials. Data to be collected will include: (1) teacher descriptions of the course via questionnaire; (2)…