Sunday, August 18, 2013

Reflection 2 - August 13, 2013

For second session, we learn the usefulness of Ten Frames for teaching counting to children.  Besides, it is also used for teaching addition (add on)

Activity: Jack and the Beanstalk (using Ten Frames)

To find how many beans are there altogether?
  • 3 Ten Frames - 5 beans, 6 beans and 7 beans in each frame respectively.
  • Count in fives, then add 1 from 2nd frame and 2 from 3rd frame: 5, 10 , 15 + 1 + 2 = 18

The advantages of using the Ten Frames:
  • Visualization
  • Prior knowledge of numeral 1 to 10.
  • Explore and arranging different ways to count in 5s (conserve)
  • Putting 1 object (bean) on the frame develop one to one correspondence

What have I learnt for this second session?
Children learn mathematical skills through:
  • Visualization
  • Patterning
  • Number sense
  • Metacognition
Teachers to help them learn through:
  • Scaffolding, modelling and explore
  • Concrete, Pictorial and Abstract -
"The concept of prime numbers appears to be more readily grasped when the child, through construction, discovers that certain handfuls of beans cannot be laid out in completed rows and columns. Such quantities have either to be laid out in a single file or in an incomplete row-column design in which there is always one extra or one too few to fill the pattern. These patterns, the child learns, happen to be called prime. It is easy for the child to go from this step to the recognition that a multiple table, so called, is a record sheet of quantities in completed multiple rows and columns. Here is factoring, multiplication and primes in a construction that can be visualized." Brunner 1973.

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