ผลการใช้ตัวแทนทางความคิดและตัวแบบเชิงคณิตศาสตร์ร่วมกับแนวคิดการสอนแนะให้รู้คิด ที่มีต่อความสามารถในการให้เหตุผลและความสามารถในการเชื่อมโยงความรู้ทางคณิตศาสตร์ของนักเรียนมัธยมศึกษาตอนต้น

Abstract

The purposes of this research were 1) to compare mathematical reasoning and connection abilities of student using the representation and mathematical model combined with cognitively guided instruction approach between, before and after learning, 2) to compare mathematical reasoning and connection abilities after learning of students between the groups being taught by using the representation and mathematical model combined with cognitively guided instruction approach and those being taught by using a conventional approach , and 3) to study development of mathematical reasoning and connection abilities of student using the representation and mathematical model combined with cognitively guided instruction approach. The subjects were ninth grade students of Chulalongkorn University Demonstration Secondary School in the first semester of the academic year 2017.The instruments for data collection were mathematical reasoning and connection abilities tests. The data were analyzed by mean, standard deviation, t – test , F – test and content analysis.

The results of study revealed that 1) the mathematical reasoning and connection abilities of student, after using the representation and mathematical model combined with cognitively guided instruction approach were statistically higher than those before learning at a .05 level of significance, 2) the mathematical reasoning and connection abilities of student using the representation and mathematical model combined with cognitively guided instruction approach group were higher than those learning activities by a conventional approach at a .05 level of significance, and 3) the mathematical reasoning and connection abilities of student using the representation and mathematical model combined with cognitively guided were developed in positive direction.