Using This Site · Montessori Math

The three kinds of pages

Lessons are for you to read: Each lesson is a short album page written for a parent with no training: what to gather, what to say, what to do with your hands, and what to watch for. Read it before you sit down with your child — better yet, print it, so the screen stays out of the presentation entirely. A lesson is something you give at the table, not something your child clicks through.
Materials are for your child to use: The virtual materials — golden beads, the stamp game, the hundred board, and the rest — are the only thing on this site meant for a child's hands on a screen. Each one works by tapping, has a Reset button, and checks itself the way the physical material does: a wrong exchange simply doesn't come out even. There are no points, no stars, no timers.
Worksheets are for printing: All practice beyond the materials happens with a pencil. The worksheet generators make fresh, correctly-graded problem sheets on demand — you print them, your child works them on paper. Nothing on this site asks a child to type an answer.

Virtual vs. physical — an honest word

Real materials beat screens. Montessori math works because the child's hand does the learning: a thousand cube is heavy, ten ten-bars laid side by side really do build a hundred square, and trading ten unit beads for a ten-bar is a physical event a five-year-old remembers in her fingers. A tablet can't give you weight, and it can't give you that satisfying click of beads in a bowl.

So: if you can buy or make the real thing, do — especially the golden beads, which carry the whole decimal system. The virtual materials here are faithful stand-ins, with the correct colors, quantities, and exchanges, for the things you don't own. Almost nobody owns a checkerboard or racks and tubes at home; that's exactly what the virtual versions are for. Use the real material where you have it, the screen where you don't, and paper for everything else.

Making your own materials

A surprising amount of the shelf can come from a craft store and your printer. Every material page lists the exact colors; here are the substitutions that actually work at a kitchen table.

The fastest route is the make-it-yourself kits: ready-to-print sheets of true-size pieces — number cards, stamp tiles, fraction circles, strip boards, a hundred board, bead cards, and play money — each with cut lines, assembly steps, and a 1-inch calibration square so you know the print came out at real size. What follows are craft-store substitutions for the pieces that can’t come out of a printer.

Bead bars and the bead stair: Craft beads threaded on pipe cleaners, ends folded over. Match the traditional colors (they're on the bead stair page): one red, two green, three pink, up through nine dark blue and ten golden. A full stair costs an afternoon and a few dollars.
Golden beads: Golden pony beads on pipe cleaners make honest ten-bars. For hundreds and thousands, print the quantity cards from the golden bead pictures sheets. Dry beans in labeled cups will do for a quick exchange game, but use them as a stopgap — beans hide the best part, which is that a hundred visibly is ten tens.
Hundred board: Print the hundred chart twice: cut one copy into tiles, keep the other whole as the control your child checks against.
Stamp game: Small paper squares do the job: green squares marked 1, blue marked 10, red marked 100, green again for 1,000. Cut a pile of each — the stamp game lesson shows how they're laid out in columns.
Fraction circles: Paper plates. Leave one whole, cut the others into halves, thirds, quarters, and so on, and label each piece. The virtual fraction circles make a good reference while you cut.
Number cards: Index cards and four markers: units in green, tens in blue, hundreds in red, thousands in green again. See number cards for the sizing that lets them stack.

Printing guide

Every printable on this site is laid out for US Letter paper and prints straight from your browser — click the Print button on the page, or press Ctrl+P (Cmd+P on a Mac). The same dialog doubles as a PDF maker: choose “Save as PDF” as the destination and you can keep a sheet, email it, or print it later at the library.

A few switches worth knowing on the worksheet pages:

Color or black & white: Sheets print in authentic Montessori colors by default. If ink is precious, check Ink-friendly black & white — nothing is lost, because no sheet encodes information in color alone.
Answer keys: The answer key prints as its own separate page, so you decide what to do with it: keep it in your folder, or hand it over when the work is done and let your child check herself — that's the Montessori way, and it spares you from being the judge. Uncheck Include answer key page to leave it out entirely.
Seeds — reprinting the exact same sheet: Every generated sheet comes from a seed number shown on the page and stored in the URL. The same URL always reproduces the identical sheet, so bookmark it if a page gets spilled on or you want a second copy for a sibling. Want different problems at the same difficulty? Click New problems.

On a tablet

The virtual materials are built tap-first, with targets sized for small fingers — no dragging skill required. Landscape orientation is recommended; the wider layout keeps the whole material in view. A tablet propped flat on the table next to real paper and pencil is the best setup we know.

Nothing to sign up for

There are no accounts, no logins, and no tracking of any kind. The site doesn't know your child's name, doesn't keep score, and doesn't phone home — once a page has loaded, it works without an internet connection. Your child's progress lives where it belongs: in the growing stack of finished paper and in what you notice at the table.

Where to start

If Montessori math is new to you, start with the overview for the why, then how to present a lesson for the how. To find your child's place in the sequence, use the scope & sequence chart — or jump straight to browse by age and pick the first lesson that looks like a comfortable fit.