Counting Wizard. Bruce Williams. Kay Cohen.

The Mathematical Counting Wizard utilizes the patterning in Skip Counting to promote understanding Skip Counting to learn the multiplication facts.

For example, when Skip Counting by 4's:        4,     8,  12,  16,  20

                                                                                        24,  28,  32,  36,  40

                                                                                        44,  48,  52,  56,  60,

                                                                                        64,  68,  72,  76,  80, etc.

So if students understand this pattern when counting by 4, they are able to continue the pattern and work out for themselves what 7x4 is by counting by 4 seven times. This builds Mathematical Understanding and Number Sense in children, instead of the usual method of learning times tables as isolated facts.

Skip Counting Patterns

It encourage development of student numeration, skip counting (and hence multiplication facts), place value and partitioning.

Students are provided with incentive to learn the first 20 counting numbers beginning with their 1’s and 2’s through to 11’s, 12’s, 15’s , 25's and 50's from zero, through awarding of certificates of proficiency recognizing increasing levels of difficulty.

Become a Mathematical Counting Wizard


Count the next 20 numbers in each sequence beginning from zero.


As you master each level you will receive your Mathematical Counting Wizard Certificate.



Magician Level:            Magician Certificate

1’s: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20.

2’s: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40.


Apprentice Wizard Level:           Apprentice Wizard Certificate

10’s: 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200.

5’s: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100.


Wizard Level:          Wizard Certificate

4’s: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80.

3’s: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60.


Master Wizard Level:              Master Wizard Certificate

6’s: 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120.

9’s: 9,18,27,36,45,54,63,72,81,90,99,108,117,126,135,144,153,162,171,180.


Apprentice Sorcerer Level:              Apprentice Sorcerer Certificate

8’s: 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160.

7’s: 7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140.



Sorcerer Level:               Sorcerer Certificate

11’s: 11,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,198,209,220.

12’s: 12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228,240.


25's: 25,50,75,100,125,150,175,200,225,250,275,300,325,250,375,400,425,450,475,500.