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Teaching Place Value Analysis

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Teaching Place Value Effectively

Considering place value underpins all operations with number it is not difficult to understand the critical nature of children developing a robust understanding of this concept. As with all learning, place value is best understood and internalised by children when it is presented in real world contexts using materials, games and activities that build on and extend prior knowledge. A constructivist approach to learning that allows children an active role in developing knowledge is considered valuable as children build their own view of mathematics (Booker et al., 2014).

Construction of a solid understanding of number and place value develops sequentially over many years through distinct stages: one digit numbers …show more content…
The significance of single digit numbers will be appreciated later when children learn the place value system and realise the position a number holds represents its value (Booker et al., 2014). However, at this beginning stage children are introduced to numbers 0-9 sequentially starting with 1-4, then zero, 5-9, ordinal numbers, and finally 10 (Booker et al. 2014). They learn to “connect number names, numerals and quantities, including zero” (Australian Curriculum Assessment and Reporting Authority [ACARA], 2015, ACMNA002) as well as developing counting fluency. It is also essential children at this stage learn to “trust the count” (Hurst & Hurrell, 2014, p. 5). Earlier experiences grouping, sequencing, and ordering objects underpin the notion of trusting the count. Department of Education Western Australia [DETWA] (2013) describe five principles that help children trust the …show more content…
The ability to accurately subitise provides a link to counting a collection of objects, for example viewing five objects as three objects and two objects. This also links to partitioning numbers and understanding part–part–whole relationships, which inform later multiplicative situations. The ability to quantify using skip counting rather than one–one counting builds the foundation for understanding basic multiplication facts (Hurst & Hurrell, 2014). Once children trust the count they are ready to develop strategies to count on and back from a given number. Activities later in this stage need to focus on partitioning and recognising numbers “as a sum or difference of other numbers in several ways” (DETWA, 2013, p. 25), as this is critical knowledge for counting on and back and skip counting, but principally, it is the basis for understanding place

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