can anyone help me in explaining in math concept on how this card tricks work?

So do you want an explanation of the “Number’s Game” one or something else?

Anyway, here goes —

Let x represent the value of the first card. (only values 1 to 10 are possible because we removed all the face cards.)

So double it (2x) and add 5 (2x + 5). Now you are to multiply this result by 5:

5(2x + 5) = 10x + 25.

Now you pick a second card (y) and add to this total (10x + 25 + y). Once you subtract 25, you have 10x + y.

This means that the digit in the ones place (y) is the second card selected, and the digit in the tens place (x) is the first card chosen.

Hope this is what you wanted. good luck!

It doesn’t sound like much of a problem to me. If you’d like her to not do the counting when telling you how many there are, you may need to model for her more saying how much there is of something WITHOUT the oral counting. “Hm, let me see, how many dolls do we have here? Oh, there are 3.” If she’s been hearing you count everything out all the time, then that is what she’ll have processed as the thing to do. Also, playing ‘games’ where she has to say the number without counting, like the one dot on a die (“How many dots?” “One.”) and then the two on the die (“How many dots?” “Two.”). Also, what do you mean by counting to 10? She wasn’t able to recite counting to 10 before or she couldn’t accurately count 10 objects before? The first is a little odd, the latter isn’t that unusual–counting 10 objects accurately is part of the kindergarten program here. In terms of the supposed signs of dyslexia, don’t be too quick to label her. Many kids do not know which hand is dominant once they are in K–this can be part of just general ambidexterity, which is usually trained to be right-handed–and do have little speech issues (this usually isn’t so much not processing things correctly, but having processed things incorrectly when younger–totally normal–and maintaning the habit of saying words that way) and few K kids draw and write well in my experience. Especially if she doesn’t seem to have a dominant hand, it means she’s likely using both hands equally, which reduces the ‘specialization’ of one of the hands. Basically, relax a little. Since you are homeschooling, you can go your daughter’s pace, whatever it is. It doesn’t mean there’s something wrong with her.

You will obviously not be interested in my answer, as you deleted your previous question in which I provided an explanation of the numbers game trick, an explanation which has been copied here by another respondent, despite the fact that you are now seeking explanations for other tricks.

kool