- Short Lessons (with attention)
- No cramming (slow progress with math rules)
- Teach concrete before abstract (ie, use manipulatives, or real life)
- allow counters as much as they want
- make a multiplication table before using one
- use actual items (use money to learn money. Weigh and measure to learn weights and measurements)
- put concepts on the board (or paper) to allow visual memory. (ie, write 2x4=8 instead of just reciting it)
- Master a concept before proceeding. (I haven't found where this is said - but it seems to be mentioned on the message boards...)
So - how does MEP fit?
- Short lessons. Although MEP (in Year 1) is designed for a 45 minute classroom class, I find that doing it 1 on 1 with my son takes us about 15 to 30 minutes... usually about 20. On top of it, each lesson is broken down into 4 to 8 different activities (including a streach and sing counting songs in the middle), each of which is different enough to keep my son's attention. On the occasional day that he has had enough before the whole lesson is done? Well, we just leave the rest for the next day. (That has happened maybe 3 times this year...)
- No cramming - With MEP, you don't need to recite math facts - at least we haven't had any need. So far the facts have been being learned slowly, with the introduction of each number. Delta has learned many, and uses manipulatives as needed still. There certainly are not pages of "sums" to do...
- Teach concrete before abstract - I think MEP does this well, using pictures, word problems, counters, dominoes, and other manipulatives you might have to help understand what you are doing before doing it straight with the numbers. (Note that you don't HAVE to buy expensive manipulatives. A set of dominoes is nice, although there is often a picture of dominoes when used.... and you can use anything for counters.
- Allow counters when needed. - MEP has so far emphasised (even in the test) to allow counters.
- Make a multiplication table before using one. - Well, we aren't that far in MEP yet, so not sure if it would do that - but if it doesn't specifically have you do that, before working with multiplication - take a week or so to make one! (ie, use several counters to figure out the various problems, then write the answer on the table.
- Use actual items (money, measurements, etc.) Well, so far the money problems we have done in MEP have involved pense - we use pennies. We aren't up to doing measurements yet either - but I know that soon we will be measuring length - doing actual measuring.
- Put concepts on the board for visual memory - MEP often tells you to write on the board the equation after discussing a word problem or other puzzle.
- Mastery - talked about below.
Well, I guess MEP is a spiral program. I know that I read a post somewhere about how it isn't the same as most spiral programs, but is different. Unfortunately, I can not find that post as I would have liked to reference it.
That said, MEP is fairly spiral, in that not every student in a class is expected to understand every principle before the class moves on. It does Addition and Subtraction at the same time (and later Multiplication and Division at the same time), instead of focusing on Addition until it is totally mastered before starting subtraction. And it will throw in an advanced concept at times, just to give the student an idea of the existance (ie, negative numbers) then leaves it later.
I don't know - all that makes sense to me. And it seems to me that MEP does have the student work at basic concepts until they are likely mastered. For instance, a number is introduced (say the number 5) at the beginning of year 1. They learn different ways it can be represented (sticks, tally marks, roman numerals, and of course a 5) They practice writing a 5. They do basic addition and subtraction problems using pictures that use the number 5. There are problems that include up to number 5, as well as review numbers 1-4. There are word problems that work with number 5 (or others done), logic puzzles. This goes on for about a week or so, with a few other things thrown in for variety - then they move to the number 6. I don't feel that there is a lot of jumping around, even though there is variety, and cool concepts.
So, to me, MEP seems like a mixture of Mastery and Spiral - somewhere in between.
In any case. I feel that MEP follows CM recomendations in SO many ways. Add in that it is FREE (except your paper and ink), and that most kids seem to love it - it seems like a great choice to me.
Oh - and the Reception (Kindergarten) Year lessons have been being added to the website. As Echo was always wanting to do math with Delta, we started her on the lessons. They are very similar, but move slower than the Year 1 book - and is dealing with the concepts through pictures. They are not using the actual abstract numbers - like 1, 2, 3.
So, for instance, there will be a picture (usually of a family - used throughout) that the child will describe. They will count various things in the picture, and do basic math in a real-life situation. For instance, there will be a picture of the family setting up for a birthday party - and you have your child count the plates (5) and the cups (3) - and you ask how many more cups they need to get out so there will be enough. The numbers have been slowly increasing... we are working with the number 6 right now.
Concepts we have seen so far (we are on lesson 23) include more/less; horizontal/vertical; very simple addition/subtraction (usually by 1 or 2); First, second, third, etc; Right/Left / Above/Below / Next/Before / etc; colours (child is asked to colour something a certain colour); basic writing skills (copy over a line in the picture); and probably some I have forgotten.
Note that the pictures (that come with the program) are all in color - so this course will cost a bit more to print off - but it seems very worth it!
ADDITION: Check out this http://ohpeacefulday.blogspot.com/2010/04/are-mep-and-cm-compatible.html for more on MEP and CM