With all the moving around families are doing these days, bouncing from school to school takes a toll on a smooth math education. Since math is so sequential, the holes and gaps that form along the way as a student ages through the system become so enormous that successful entrance into higher math is almost impossible. These students never had a chance and capable minds are being left behind through no fault of their own.
If you have students who come and go from your program, are of all ages and ability levels, it behooves the teacher/facilitator to place these students for successful outcomes - even if that means sending them back to the beginning and working forward.
Most students welcome the opportunity to learn. When placed properly, they will most likely find success. Test their most basic skills and work forward from there. If they know their basic arithmetic skills, they will score high enough to move on to basic math skills. If they test well in basic math skills, move on to pre-algebra... and so on and so on... Once they reach their level, have them dive into learning the skills before moving on.
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