ED1635 Lecture 3: Place Value in Primary Mathematics
Mathematics - Lecture 8 - Week 8
Place Value
Why Teach Place Value?
- Place value allows us to operate with larger numbers in our heads
- Provides a ‘map’ to allow us to visualise place value
Pre-requisite Ideas and Strategies for Place Value
- Count fluently by ones using the number naming sequence to 20 and beyond
- Model, read and write the numbers to 10 using materials, diagrams, words and symbols
- Recognise collections to 10 without counting
- Trust the count for each of the numbers to 10 without having to model or count by ones
- Demonstrate a sense of numbers beyond 10 in terms of 1 ten and some more (e.g. ‘see’ 14 as 1 ten and
4 ones)
- Count larger collections by twos, fives and tens (i.e. recognise 2, 5 and 10 as countable units)
- Partitioning
Place Value
- Van De Walle
Grouping by tens
- Zevenbergen
Position of the numbers dictates its value, and every place in the system is related to other places by
powers of 10
Write and Say Task
Key Understanding 5
- Place value is the key to understanding how we say, read, write and calculate with whole numbers.
- The order of the digits makes a difference
- The position of a digit tells us the quantity it represents
- Zero is used as a place holder
- There is a constant multiplicative relationship between the places with the values of the position
increasing in powers of ten from right to left
- The value of the digit multiplied by the value of the place tells us the quantity a digit represents
Three Phases of Place Value - Thompson, 2009
- Unitary value
placement of the number in the number string (i.e. 37 is after the number 36).
- Quantity value
36 is seen as 30+6.
particularly important in mental computation strategies
30 is not seen as three in the tens column or even 3x10, but thirty
- Column value
36 is seen as 3x10 and 6x1,
vital in being fluent with many standard written algorithms.
Important pre-requisite for developing an understanding of the multiplicative relationship between
places
Key Understanding 6
- The way we write numbers makes it easy to count forward and back in tens, hundreds and so on from
any number. (paragraph 3)
find more resources at oneclass.com
find more resources at oneclass.com
Document Summary
Place value allows us to operate with larger numbers in our heads. Provides a map" to allow us to visualise place value. Count fluently by ones using the number naming sequence to 20 and beyond. Model, read and write the numbers to 10 using materials, diagrams, words and symbols. Trust the count for each of the numbers to 10 without having to model or count by ones. Demonstrate a sense of numbers beyond 10 in terms of 1 ten and some more (e. g. see" 14 as 1 ten and. Count larger collections by twos, fives and tens (i. e. recognise 2, 5 and 10 as countable units) Position of the numbers dictates its value, and every place in the system is related to other places by powers of 10. Place value is the key to understanding how we say, read, write and calculate with whole numbers. The order of the digits makes a difference.
