Mathematical Creativity: Student Geometrical Figure Apprehension in Geometry Problem-Solving Using New Auxiliary Elements

Autor/inn/en	Muzaini, Muhammad; Rahayuningsih, Sri; Ikram, Muhammad; Nasiruddin, Fathimah Az-Zahrah
Titel	Mathematical Creativity: Student Geometrical Figure Apprehension in Geometry Problem-Solving Using New Auxiliary Elements
Quelle	In: International Journal of Educational Methodology, 9 (2023) 1, S.139-150 (12 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Zusatzinformation	ORCID (Muzaini, Muhammad) ORCID (Rahayuningsih, Sri) ORCID (Ikram, Muhammad) ORCID (Nasiruddin, Fathimah Az-Zahrah)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
Schlagwörter	Geometry; Mathematics Instruction; Problem Solving; Creativity; Grade 12; Intervention; High School Students; Institutional Characteristics; Academic Ability; Correlation; Cognitive Ability; Creative Thinking; Thinking Skills; Skill Development; Visualization; Teaching Methods; Mathematics Skills; Foreign Countries; Indonesia + Suchen Sie Ihr Suchwort? Geometrie; Mathematics lessons; Mathematikunterricht; Problemlösen; Kreativität; School year 12; 12. Schuljahr; Schuljahr 12; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Korrelation; Denkfähigkeit; Kreatives Denken; Kompetenzentwicklung; Qualifikationsentwicklung; Visualisation; Visualisierung; Teaching method; Lehrmethode; Unterrichtsmethode; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Ausland; Indonesien
Abstract	The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students' mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric problems with novel auxiliary features such as straight lines and curved lines. In other words, this study determined if geometry knowledge influenced mathematical creativity (cognitive flexibility) in problem-solving. Grade-12 students participated in the intervention. The high school that is the research topic attempts to equip students with academic abilities and is, except for vocational schools, the most popular form of high school among all other types. Such a school was chosen for the study so that a significant proportion of students in Makassar could be represented. In this study, we discovered a relationship between cognitive flexibility and the geometric ability of pupils while solving problems involving auxiliary lines. This indicates that the usage of auxiliary lines as a reference for developing pupils' creative thinking skills must be advocated. In addition, good geometric abilities (e.g., visual thinking, geometrical reasoning) will encourage pupils to generate various problem-solving concepts. This finding contributes significantly to future research by focusing on auxiliary lines. (As Provided).
Anmerkungen	Eurasian Society of Educational Research. 7321 Parkway Drive South, Hanover, MD 21076. e-mail: publisher@ijem.com; Web site: https://www.ijem.com/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01