The question homeschooling parents ask most often is some version of: where do I start with math? The Montessori answer is unusually concrete. You start with quantity the child can hold, then attach symbols to it, then let the child combine quantities until the facts reveal themselves. Here is that road, material by material, with the interactive lessons that let you rehearse each presentation before you give it.
Step one: Number Rods, quantity before symbols
The Number Rods are ten rods, graded from short to long, with alternating red and blue segments. The child learns that three is not a squiggle on paper but a length: one rod, three segments, countable with a finger. Because each quantity is a single object, the child cannot miscount by skipping or double-touching the way they might with loose counters. Counting becomes trustworthy before it becomes abstract.
Step two: Sandpaper Numerals, symbols through the fingertips

Once quantities are familiar, the child meets the written symbols by tracing rough numerals cut from sandpaper. The hand learns the shape of the numeral as the voice says its name, and writing emerges later with surprisingly little effort. In the interactive lesson, the tracing path lights up stroke by stroke, which makes it easy for a parent to learn the correct stroke order before presenting the real cards.
Step three: Spindle Boxes, and the meaning of zero

The Spindle Boxes reverse the earlier work: now the symbols are fixed, printed above ten compartments labeled 0 through 9, and the child counts loose spindles into each one. Two new ideas arrive quietly. Quantities are made of separate units, and zero gets a compartment that stays empty. Watching a child stare at the zero slot, wondering what to put there, and then beam at the answer of nothing, is one of the small joys of this work.
Step four: the Addition Snake Game

Now the play begins. The child builds a long snake from colored bead bars, then exchanges beads ten at a time into golden ten bars. Every exchange is a physical act of addition with regrouping, the same operation that later lives inside column arithmetic. Children play this game for the pleasure of the transformation, and the addition facts come along free of charge.
How to run this at home
Present one material at a time, and let your child stay with it as long as the interest lasts. Before each presentation, open the matching interactive guide and step through it once: each step shows what to do, what to say, and what to watch for. The full written lesson guides, including key language and what to do when a child gets confused, are in the Lesson Guides library, and optional PDF printing is available if you like paper beside you on the mat.




