BENEFITS OF ORIGAMI

This page is taken from an educational Magazine published in NTIC 

The Benefits of Origami in Mathematics

Origami, the ancient art of paper folding, is more than just a creative activity – it is a powerful tool for learning mathematics. By engaging with origami, students develop spatial reasoning, logical thinking, and problem-solving skills. It allows abstract mathematical concepts to be experienced in a hands-on and visual way.

Through origami, learners encounter geometry (angles, symmetry, fractions, and transformations), algebraic thinking (patterns and sequences), and even elements of measurement and proportionality. Folding paper helps students see how 2D shapes transform into 3D structures, strengthening their understanding of geometric properties.

Beyond content knowledge, origami cultivates patience, accuracy, and perseverance – essential skills for success in mathematics. It bridges creativity with analytical thinking, making maths both engaging and accessible.

Here’s a list of geometric concepts commonly used in origami that you can highlight for your teachers and students:

• Points, Lines, Line Segments, Rays – every fold creates or aligns these basic geometric elements.

• Parallel Lines – folds can create parallel creases.

• Perpendicular Lines – 90° folds establish right angles.

• Angles – measuring, bisecting, and constructing angles (acute, obtuse, right).

• Angle Bisectors – folds often divide angles into equal parts.

• Diagonals – folding corner-to-corner forms diagonals of squares/rectangles.

• Symmetry – reflective (mirror symmetry) and rotational symmetry are central to origami designs.

• Congruence – folded sections create congruent shapes.

• Similarity & Proportions – scaling and repeated folds show similar figures.

• Polygons – triangles, quadrilaterals, pentagons, etc. formed by folds.

• Circles & Arcs – curved folds approximate circular shapes.

• Transformations – translations, reflections, rotations, and dilations through folding.

• Tessellations – repeating folded patterns using polygons.

• 3D Geometry – cubes, pyramids, prisms, and other solids from flat paper.

• Surface Area & Volume – explored when flat paper transforms into 3D models.

✨ Origami turns these abstract concepts into something tangible and visual, making geometry more interactive and enjoyable.