How to Teach Fractions with Hands-On Math Blocks
Fractions are abstract in a specific way: the numbers are simple, but the relationships between them are not. A student can write 1/2 and 1/4 correctly and still have no working sense of which is larger or why. The difficulty isn't arithmetic, it's visualization. Until a fraction has a physical referent, it stays a symbol to manipulate rather than a quantity to reason about.
Watch two fractions get built block by block, lined up side by side, until the comparison is something a student can simply see.
Switch-Its makes fractions something students build
Switch-Its magnetic dry erase blocks let students construct each fraction as a physical column, so the whole, the 1/2, and the 1/4 are all present on the surface at the same time. Lining two fractions up next to each other turns a comparison problem into something directly observable.
Build the first fraction
Students take two fractions that are written on blocks and set them on the table. Before adding <, >, or =, students must build a representation using the piles of 1, 1/2 and 1/4.
Build the second fraction alongside it
1/4 gets 1 1/4 block. 3/4 gets 3 1/4 blocks. Now the students can use the representation to see which is larger and put the correct relationship block between them.
Line them up — the comparison is visible
When numerators are larger than denomenators the fractions seem overwhelming. Students can slowly build their representation, compare and choose the correct relatioship.
Making fractions physical is one of the clearest applications of why concrete manipulatives belong in math instruction: the concept isn't more complex than the symbol suggests, it's just easier to grasp when it has a shape and a size. That argument applies across science and math alike, and it's developed in full in Holding Ideas in Your Hand.