After a whole lot of illumination on the concepts of Addition, Subtraction, Division, and Multiplication, the class was assigned a task on Place Value. What are the different ways to teach place value to the children?
Place Value Chart
Expanded Notation
Number in Numerals
Number in Words
Tens and Ones Notation
Question: What is an appropriate sequence? Should the place value chart be used first?
Or the expanded notation? Give your reasons.
Or the expanded notation? Give your reasons.
This question is actually quite tricky. If I were to sequence the five notations according to the spiral, from the easiest to the more difficult topic, my answer would be:
BUT.. If place value is to be taught as a lesson to a group of children who already knew how to count and number in numerals and in words, my answer would be:
A lesson on 'Place Value' definitely requires manipulatives. Let's say there are 34 cubes. I will count the cubes and line them (together) in three columns and single out the extra four that are left. From the counters, the children will be able to see the expanded notation, where there are 30 on one side and 4 on the other. Next, from the three columns, I will ask the children to observe the similar patterns in them -- 'ten' and 'ten' and 'ten' which makes 3tens. From there, the tens and ones notation is introduced. Put the notation in a chart form (place value chart). Get children to count the number of cubes again, and write the number in numerals out. Again, get them to find the relationship between the place value chart and number in numerals. Lastly, introduce the number in words.
Phew, never thought explaining the sequence would be so tough!
- Number in Numerals
- Number in Words
- Tens and Ones Notation
- Place Value Chart
- Expanded Notation
Why?
Number in numerals is the easiest concept that a child learns, so naturally, that will be introduced first. I will teach the children to count in numbers, then associate the numbers with number in words. The tens and ones notation can only be introduced when the children have learned numbers and number words that are more than 10. Manipulatives can be used to teach this concept, so that the children can physically see how the numbers are being separated in tens and ones. This will pave the way for them to learn about place value chart to visualize value placing. Actually, I find that we can introduce both the 'tens and ones' notation and place value chart at the same time as it will be easier for the children to link both concepts together. Lastly, expanded notation somehow involves multiplication, or a higher level of thinking, so it will be the last to be introduced.BUT.. If place value is to be taught as a lesson to a group of children who already knew how to count and number in numerals and in words, my answer would be:
- Expanded Notation
- Tens and Ones Notation
- Place Value Chart
- Number in Numerals
- Number in Words
A lesson on 'Place Value' definitely requires manipulatives. Let's say there are 34 cubes. I will count the cubes and line them (together) in three columns and single out the extra four that are left. From the counters, the children will be able to see the expanded notation, where there are 30 on one side and 4 on the other. Next, from the three columns, I will ask the children to observe the similar patterns in them -- 'ten' and 'ten' and 'ten' which makes 3tens. From there, the tens and ones notation is introduced. Put the notation in a chart form (place value chart). Get children to count the number of cubes again, and write the number in numerals out. Again, get them to find the relationship between the place value chart and number in numerals. Lastly, introduce the number in words.
Phew, never thought explaining the sequence would be so tough!