Using Van Hiele model to develop instruction in geometric proof for mathayomsuksa three students

Abstract

     The development in Van Hiele levels of thinking was investigated to study mathematical learning achievement, and the geometric proof ability of mathayomsuksa three students. Purposive sampling was used to select the samples-44 mathayomsuksa three students at Ratchananthachan Samsenwittayalai 2 School, Bangkok in the second semester of the 2015 academic year and 60 mathayomsuksa three students at Surasakmontree School, Bangkok in the first semester of the 2016 academic year. The research instruments were lesson plans, mathematical learning achievement tests with a reliability score of .82, geometric proof ability tests, Van Hiele levels of thinking test, and record forms after using learning management. The results revealed that: 1) mathayomsuksa three students had development in Van Hiele level 3 of thinking at more than 60 percent (68.33%); 2) mathayomsuksa three students had mathematical learning achievement on reasoning about triangles and quadrilaterals at more than 60 percent of criteria (69.50%); 3) and mathayomsuksa three students had geometric proof ability after using the instructional model in geometric proof at more than 60 percent of criteria (68.68%).