Learning to think mathematically in the 21st century: the development of student's mathematical ideas

Abstract

The development of students' mathematical ideas of under<sraduate students Enrolled in the Calculus 1 course at Rajaman<sala University of Technolo<sy Phra Nakhon in the amount of 1 classroom. The research methodolo<sy uses qualitative research method by mathematical analysis of students in the theoretical framework (Tall, 2004; Becker & Shimada, 1997; !soda & Katakiri, 2012). And it used student interviews and student work in situation 2 problems situation. The research found that Students use the development of mathematical ideas from problem solvin<s procedures that have been implemented into complex mathematical thinkin<s procedures. And usin<s of linkin<s multi-procedure th1nkin'5, relyin's on a procedure to multi­procedure. Students expand their elementary ideas into advanced ideas. By extendin<s from the previous ideas or procedures of development or takin<s interaction with object to obtain the principles of mathematical formula.