Developing Student's Proportional Reasoning through Informal Way

Autor/inn/en	Nasution, Andrea Arifsyah; Lukito, Agung
Titel	Developing Student's Proportional Reasoning through Informal Way
Quelle	In: Journal of Science and Mathematics Education in Southeast Asia, 38 (2015) 1, S.77-101 (25 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0126-7663
Schlagwörter	Teaching Methods; Mathematics Instruction; Thinking Skills; Heuristics; Learning Activities; Foreign Countries; Mathematical Concepts; Concept Formation; Student Attitudes; Interviews; Meetings; Mathematics Tests; Pretests Posttests; Teacher Student Relationship; Elementary School Students; Problem Solving; Indonesia + Suchen Sie Ihr Suchwort? Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; Denkfähigkeit; Heuristik; Lernaktivität; Ausland; Concept learning; Begriffsbildung; Schülerverhalten; Interviewing; Interviewtechnik; Meeting; Tagung; Teacher student relationships; Lehrer-Schüler-Beziehung; Problemlösen; Indonesien
Abstract	In teaching proportion, the teachers usually give the students a formal formula, such as cross-multiplication, without providing them the meaning of proportionality. Thus, the students just apply it in order to solve proportional problems. However, it does not connote that they understand what proportionality means. In this paper, the authors attempt to explore how the informal proportional reasoning can be developed to a more formal level. The development of student's proportional reasoning is described in three levels since the representations of students' reasoning are different. In order to support them, several instructional activities were designed which were based on the heuristic of Realistic Mathematics Education (RME) within a learning trajectory. In this case, design research was chosen as an approach in investigating how the design works in the classroom. The result shows that the designed students' activities could help students learn about proportion and develop their proportional reasoning. (As Provided).
Anmerkungen	Southeast Asian Ministers of Education Organization Regional Centre for Education in Science and Mathematics (SEAMEO RECSAM). Jalan Sultan Azlan Shah, 11700 Gelugor, Penang, Malaysia. Tel: +011-60-4-658-3266; Fax: +011-60-4-657-2541; e-mail: director@recs; http://www.recsam.edu.my/joomla/jsmesea/index.php
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01