By Shelley Frost
Updated Aug 30, 2022
Fractions can be daunting for learners, especially at the outset. Manipulatives provide a tactile bridge from the abstract concept to concrete understanding. By regularly incorporating student‑made paper items or everyday classroom objects, educators give learners a hands‑on experience that demystifies fractions.
Fraction circles, bars, and tiles are commercially available tools that visually segment a whole into equal parts. The circles, often color‑coded, illustrate fractions with clarity. Rectangular fraction bars or tiles serve a similar purpose, offering flexibility for different fraction sizes. Existing classroom materials—such as block sets—can also function effectively; a larger block represents the whole, a half‑sized block one‑half, and so on. LEGO bricks, with their diverse dimensions, naturally accommodate fractions down to one‑eighth.
Students can construct their own fraction bars using uniform strips of paper. One strip represents the whole. By cutting the strip into halves, thirds, fourths, etc., and labeling each piece with its fraction, learners visualize how parts combine to form a whole. Repeating this with multiple strips deepens the concept. The same methodology applies to circles or other shapes.
Individual counters—beads, marbles, cubes, or plastic animals—offer another tactile avenue. Each counter represents a unit of the whole. By grouping counters in different colors, students can express fractions like 3/10 or 4/5. For instance, with ten counters where three are red, students can state that 3/10 of the total is red.
Start by allowing students to explore the idea of fractions through manipulation. They can assemble pieces to see how they compose a whole. Next, compare fractions: using blocks or bars, have students display 2/3, then create equivalent fractions such as 4/6 or 8/12 to illustrate equality. To determine which fraction is larger, pose contrasting examples like 1/6 versus 1/4. Students may initially assume 1/6 is larger because the denominator is bigger, but visual comparison will reveal that 1/4 is actually larger.
