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Background to Mental Routines with Dice

Dice are easy to come by and make fun mental routines. If you don't already have dice they are easy to make, either by using wooden blocks or by using templates such as:

 As you can see, dice can be regular, that is marked with dots from one to six on each face such that every opposite pair of sides totals seven or they can be especially tailored to suit the needs of your learners. For instance dice can be tailored as follows:

  1. One regular dice teamed with one dice marked with only 1s, 2s and 3s (encourages fluency with count on 1, 2, and 3 facts)
  2. One dice with numerals 1-6 teamed with a dot dice (to encourage counting on rather than counting all of the dots)
  3. Two dice each marked with 1-4 dots with an extra 1 and 2 on the remaining faces encourages use of doubles as well as count on facts)
  4. Two dice marked with 1-5 and with an extra 4 on one dice and an extra 3 on the other (to encourage use of doubles, near doubles and rainbow facts)
  5. Two regular dice (to encourage use of a full range of strategies)
  6. One dice marked with dots 1 to 6 and the other with numerals from 7-10 with an extra 4 and 5 on the other faces (to encourage the full range of strategies and push beyond 10.
  7. One dice marked with only 9s and 10s and one regular dice (to encourage adding onto tens facts)
  8.  Two dice each marked with even numbers of dots, 2-6 (encourages the use of skip counting by twos).

There are other variations that you might think of to suit the needs of your particular learners. Three or more dice can be used at one time to extend number facts and strategies and again they can be planned in series as above to develop particular strategies and to increase the complexity of the routines as the children increase in confidence.

Working with Dice

Suppose that you have prepared a set of dice dot cards (see Level 1: Activity Sheet 1) for each child. Rather than select a particular child to call out an answer or having lots of children calling out, ask the children to use the cards to show the answers to your questions.

This has many benefits for everyone. Firstly you can see that all children are participating and you can also see their answers. Secondly the children will all participate because they know that you can see them. Other benefits for the children are that they:

  1. see other's solutions and can be reassured that they have selected the 'correct' card-great for the early stages when some children do not want to take a risk,
  2. see a variety of ways of showing the same answer (e.g., for 2 + 3, they might see 5 in dot form, as a numeral or as a numeral 3 and 2 dots to signify the turnaround and or the count on 2 fact),
  3. begin to realise that there may be more than one answer to an open question and that they are all equally valid,
  4.  see a wide range of strategies, some possibly more sophisticated than the one that they used and which they can then try by themselves next time,
  5. learn to defend their own answers and ideas rather than simply change their answer if they see a different one.