# What no-one is really telling you about NUMBER SENSE

I'm sharing EMPOWERING, INSPIRING and EDUCATING ways that you can help your learners build that 🌟all important🌟 NUMBER SENSE.

**Don't forget ALL THE IMAGES are clickable DOWNLOADABLE LINKS. **

And the best way to develop fluency with numbers is to develop **NUMBER SENSE**, NOT to blindly memorise without number sense.

**Number sense - what is it?**

**AND**

**the flexible ability to compute and represent number**.

**quantity discrimination**may help them quickly catch up with peers (Gersten, Jordan & Flojo, 2005).

**Effective use of board games with young children before they go to school can enhance early number sense**(eg Siegler & Booth, 2004) and in the first years of school helping children make links between verbal and symbolic, digital and analogic representations of number can help develop number sense (Kalchman, Moss & Case,2001).

One of my favourite ways is using this:

Once children have developed a basic sense of the numbers up to ten they need to develop a strong 'sense of ten' as a foundation for both place value and mental calculations. (This is not to say that young children will not also have an awareness of much larger numbers. Indeed, there is no reason why children should not explore larger numbers while working in depth on 'ten-ness'.)

**Arguably the best resource for representing ten as a unit is the ten-frame: **

**Where do I go from here?**

By the time children leave primary school, we would like them to have a well-developed sense of number and a deep understanding of place value.

We've discussed what we mean by these two areas of mathematics, outlined relevant research findings and introduced some of the manipulatives which support their early development.

**We have expanded on the key ideas and suggested mathematical activities which will help to develop these important aspects of mathematics.**

**The first step towards a deep understanding of number and place value is having a strong sense of the numbers up to ten**. From there, developing children's 'sense of ten' is essential as part of their understanding of place value and this also paves the way for mental calculation. In addition to this 'sense of ten', place value encompasses three other important ideas:

**Ordering - comparing numbers with each other****Position - understanding how the place of a digit affects its value in any particular number****Amount - knowing what the digits represent.**

I hope you enjoy working on these important mathematical ideas with your children and that their understanding is enhanced as a result.

**Here are some references and resources that might be of interest to you...**

Bobis, J. (1996). __Visualisation and the development of number sense with kindergarten children__. In Mulligan, J. & Mitchelmore, M. (Eds.) *Children's Number Learning* : A Research Monograph of the Mathematics Education Group of Australasia and the Australian Association of Mathematics Teachers. Adelaide: AAMT.

Bobis, J. (1991). The effect of instruction on the development of computation estimation strategies. Mathematics Education Research Journal , 3, 7-29.

Sood, S., & Jitendra, A. K. (2007). A Comparative Analysis of Number Sense

Instruction in Reform-Based and Traditional Mathematics Textbooks. *Journal ofSpecial Education*, 41(3), 145-157.

Tsao, Y.L. & Lin, Y. C. (2012) __Elementary School Teachers' Understanding: Towards the Related Knowledge of Number Sense__. US - China Education Review B1. (p 17 - 30) davidpublishing.com.