Emef Professor Ciro Exel Magro

What Actually Happens When You Use This Method

I spent three years trying to make this work in my classroom before I understood what was actually going on with it. The EMEEF Professor Ciro Exel Magro approach is fundamentally about restructuring how students in early elementary grades internalize arithmetic operations. It's not a shortcut. It's a systematic way of building number sense that most people get wrong on the first try. The core idea revolves around decomposing problems visually before asking students to produce an answer. Teachers using it typically write a problem like 37 plus 48 on the board and then break each number into tens and ones separately. 30 plus 40 goes in one column. 7 plus 8 goes in another. Students add across, then combine. It sounds simple enough until you watch a class of twenty seven-year-olds try to do it without understanding why the columns exist.

Why emef professor ciro exel magro Actually Works Differently Than Standard Algorithms

The standard algorithm most Brazilian schools teach — the vertical carrying method — trains students to mechanically move digits around. The Ciro Exel Magro approach forces conceptual engagement at every step. When a student writes 30 plus 40 and gets 70, they are actively reinforcing that the digit 3 in 37 represents thirty, not just three. That distinction matters more than most teachers realize. I ran into a real problem when I first tried implementing this. About forty percent of my students could do the decomposition fine but completely collapsed when asked to regroup. They would write 7 plus 8 as 15, put down the 5, and then forget to add the carried 1 to the tens column. Not because they didn't understand carrying in the traditional algorithm. Because in this method, carrying has no visual anchor. The tens column sits separately on the page with nothing explicitly telling them to pull a ten from the ones sum back into it.

My workaround was straightforward but I wouldn't have figured it out without watching the same mistake happen for six weeks straight. I started having students physically draw a box around the ones column whenever their sum exceeded nine. Inside that box they wrote the ones digit. Then they moved the tens digit as a separate act, literally stepping it over to the tens column with an arrow. The visual movement replaced the invisible mental step that was tripping them up. It added about twenty seconds per problem during the first two weeks but eliminated nearly all regrouping errors after that.

How to Actually Implement This in a Real Classroom

You don't need special materials. The only real requirement is patience with the pace. A single lesson that would take ten minutes using the standard algorithm will take thirty to forty minutes here at the start. That's the trade-off. The time investment pays off around week four or five when students stop treating the method as a separate procedure and start using it instinctively for mental math. Start with problems where decomposition doesn't require regrouping. 24 plus 35. 42 plus 27. Let students fill out the two-row structure until they can do it without looking at the example. Then introduce problems that cross the ten boundary. 38 plus 26. 57 plus 34. This is where most programs rush too fast and create confusion.

Don't expect students to transition away from this method quickly. The goal isn't to replace the standard algorithm. The goal is to build the kind of number flexibility that makes the standard algorithm actually understandable instead of a memorized sequence of steps. Some of my stronger students continued using decomposition for addition until the end of the year even when they could do the vertical method blind. They weren't slow. They were precise.

Where This Approach Breaks Down

Multiplication doesn't translate cleanly. The decomposition method works for basic multiplication when numbers stay small, but once you hit something like 47 times 23, the approach becomes unwieldy without significant modification. You'll find yourself essentially reinventing the distributive property on the board, which defeats the purpose of having a simple visual framework. Subtraction with borrowing faces the same structural issue. Students who learned subtraction through this decomposition lens often struggle when they encounter the traditional borrowing method later because the mental models don't align. Borrowing in the standard algorithm moves value rightward. Decomposition in this method moves value leftward into column sums. They are opposite directions and kids notice.

If your school district expects rapid mastery of the standard algorithm by second semester, this approach will look like a waste of time to administrators who aren't familiar with it. I had to show my lesson plans to my coordinator twice before she stopped asking why we weren't using the textbook method. The data supported it, but convincing people who only see weekly progress reports takes effort.

What You Should Know Before Trying It

There's no official curriculum package from the professor himself that you can download and follow. Most materials circulating online are teacher-generated worksheets inspired by his published approach. I collected what I could find across various Brazilian education forums and compiled my own set. The versions I found most useful were the ones that included problems organized by regrouping threshold — ones that stayed under ten in each column, then progressively introduced crossing boundaries in a controlled sequence. The method requires consistent daily practice for at least three weeks before you'll see any improvement in student performance. Short bursts don't work. I tried a twenty-minute session once a day versus three ten-minute sessions and the distributed approach produced measurably better retention. It's the same principle that shows up in basically every literacy intervention out there, just dressed in arithmetic clothing.

If you're teaching in a high-turnover environment where students rotate in mid-year, this method will be harder to implement than you'd expect. Kids who arrive late miss the foundational weeks and then lack the number sense to benefit from it anyway. In those cases, a modified version focusing only on addition within twenty with visual aids tends to be more effective than trying to catch them up on the full decomposition framework.