  Innovating mathematics by research approaches in Indonesia from middle
schools to undergraduates are explained here where geometry is typical example
to be innovated. Topics in plane geometry to be platonic solids and non
platonic solids such as cylinder and spheres are innovated to be new surfaces
and media. Topics in calculus and complex functions particularly parametric
curves are used to be new curves for curves stitching, motifs in several kinds
of souvenirs and accessories. Additionally, local culture is introduced through
batik painting activity using algebraic surfaces drawn with Surfer. Leonardo
Dome and Leonardo Bridge with Rinus Reolofs like are introduced to attract
students for mathematical sports activities.
