Mathematicians often use tools to help them to make discoveries, and it is well known that using manipulatives can help students to develop new conceptual understanding. In this feature, we share interactive tools and dynamic geometry to encourage your students to explore, pose questions, make conjectures and prove ideas.
Using digital manipulatives and interactivities to develop curiosity
Shifting times tables
Can you find a way to identify times tables after they have been shifted up or down?
Polygon rings
Join pentagons together edge to edge. Will they form a ring?
Semi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Quad in quad
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
Surprising equalities
Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?
Pentagon construction