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Innovating mathematics by research approaches in Indonesia from middleschools to undergraduates are explained here where geometry is typical exampleto be innovated. Topics in plane geometry to be platonic solids and nonplatonic solids such as cylinder and spheres are innovated to be new surfacesand media. Topics in calculus and complex functions particularly parametriccurves are used to be new curves for curves stitching, motifs in several kindsof souvenirs and accessories. Additionally, local culture is introduced throughbatik painting activity using algebraic surfaces drawn with Surfer. LeonardoDome and Leonardo Bridge with Rinus Reolofs like are introduced to attractstudents for mathematical sports activities.

Innovating Mathematics by Research Approaches in Indonesia from Middle Schools to Undergraduates