Advanced Mathematical Thinking and Students' Mathematical Learning: Reflection from Students' Problem-Solving in Mathematics Classroom

Autor/inn/en	Sangpom, Wasukree; Suthisung, Nisara; Kongthip, Yanin; Inprasitha, Maitree
Titel	Advanced Mathematical Thinking and Students' Mathematical Learning: Reflection from Students' Problem-Solving in Mathematics Classroom
Quelle	In: Journal of Education and Learning, 5 (2016) 3, S.72-82 (11 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1927-5250
Schlagwörter	Mathematics; Mathematics Instruction; Mathematics Education; Teaching Methods; Mathematical Logic; Thinking Skills; Mathematical Concepts; Mathematics Achievement; Problem Solving; Higher Education; College Freshmen; Undergraduate Students; Foreign Countries; Qualitative Research; Calculus; Video Technology; Mathematical Formulas; Semi Structured Interviews; Mixed Methods Research; Thailand + Suchen Sie Ihr Suchwort? Mathematik; Mathematics lessons; Mathematikunterricht; Mathematische Bildung; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematical logics; Mathematische Logik; Denkfähigkeit; Mathmatics sikills; Mathmatics achievement; Mathematical ability; Mathematische Kompetenz; Problemlösen; Hochschulbildung; Hochschulsystem; Hochschulwesen; Studienanfänger; Ausland; Qualitative Forschung; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematische Formel
Abstract	Mathematical teaching in Thai tertiary education still employs traditional methods of explanation and the use of rules, formulae, and theories in order for students to memorize and apply to their mathematical learning. This results in students' inability to concretely learn, fully comprehend and understand mathematical concepts and practice. In order to overcome this learning deficit, it is necessary that the concept of "reflection" be implemented in the teaching of this subject. It is believed that the adoption of this teaching concept will allow students to learn mathematics by themselves. This article is aimed at presenting mathematical problem-solving of undergraduate students on Calculus I. Concrete problems were assigned to students to participate, to improve students' way of mathematical thinking, and to encourage the students' mathematical learning and advanced mathematical thinking. The study was a qualitative research project conducted with first-year undergraduate students of Rajamangala University of Technology Phra Nakhon who had enrolled for Calculus I. Data were collected from interviews and field notes, along with video recordings. Findings showed that students succeeded in solving mathematical problems from simple to complex levels and using the subject fundamentals to connect to several methods of higher levels of thinking. Students also created effective means of problem-solving and applied these concepts to solve new problems. (As Provided).
Anmerkungen	Canadian Center of Science and Education. 1120 Finch Avenue West Suite 701-309, Toronto, OH M3J 3H7, Canada. Tel: 416-642-2606; Fax: 416-642-2608; e-mail: jel@ccsenet.org; Web site: http://www.ccsenet.org/journal/index.php/jel
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01