Relationship between Counting at an Early Age and Performance in Mathematics Later On

In order to improve my instructional practices, I analyzed instructional data from district math diagnostic and proficiency assessments. The most recent assessment assessed student’s abilities to count, add and subtract, and their understanding of place value. My students scored below not only the other first grade students at the school, but also all first grade students in the district. 81.6% of my students could count, read, and write numbers to 120. This was an improvement from their diagnostic assessment. However, only 66.7% could relate counting to addition and subtraction, and only 45% demonstrated understanding of place value in two digit numbers.

From birth, it is important for practitioners to support the early years’ mathematical development. Children learn emergent maths which is a “term used to describe children construct mathematics from birth” (Geist, 2010). The Early Years Statuary Frameworks (EYFS) (Department of Education) states that maths is one of the specific areas.

Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all

Children use numbers with daily activities eg. Songs. They also develop a range of flexible methods for working mentally with numbers. For example, when playing number games and flash cards.

The following evaluation presents the components of the normative sample applied in the KeyMath-3 Diagnostic Assessment (KeyMath-3 DA). For reference, a norm sample characterizes as a selected sample of test-takers from various common characteristics such as gender, age, grade, race, ethnicity, socioeconomic status, or some combination thereof, for the purpose of creating test norms. The KeyMath-3 DA is a comprehensive, norm-referenced measure of essential mathematical concepts and skill which is untimed and individually administered (Connolly, p. 1, 2007). Furthermore, the test consists of 372 full color test items and 10 subtests covering three general math areas: Basic Concepts (numeration, algebra, geometry, measurement, data analysis and probability), Operations (mental computation and estimation; addition and subtraction; and multiplication and division), and Applications (foundations of problem solving and applied problem solving). Additionally, data from the U.S. Bureau of the Census (2004) reinforced the integrity of the normative sample to establish the target counts in age, grade and season, race/ethnicity, geographic region and socioeconomic status.

The aims and importance of learning provision for numeracy development are to ensure all students understand that maths is a vital part of everyday life and will continue to be used throughout their life. Primary schools will teach students to learn various methods and techniques to be able to reach the correct answer. The end goal means more students will be able to solve a mathematical problem, independently, using a method that suits them. They can then develop their learning to improve their knowledge and apply it to real life situations; such as counting in groups of numbers such as 5’s or 10’s, which in turn can be applied when paying for

Casey, J., McLaughlin, T. F., Weber, K. P., & Everso, M. (2003). THE EFFECTS OF FIVE MINUTE PRACTICE, UNLIMITED PRACTICE, WITH SAFMED CARDS ON CORRECT AND ERROR RATE IN MATH FACTS FOR TWO ELEMENTARY SCHOOL CHILDREN WITH LEARNING DISABILITIE. International Journal of Special Education, 66-72.

Numeracy development is important for all children as maths is an important part of everyday life. The way in which maths is taught has changed greatly over the years. When I was at school we were taught one method to reach one answer. Now, particularly in early primary phase, children are taught different methods to reach an answer, which includes different methods of working out and which also develops their investigation skills. For example, by the time children reach year six, the different methods they would have been taught for addition would be number lines,

Van de Walle, J, Karp, K. S. & Bay-Williams, J. M. (2015). Elementary and Middle School Mathematics Teaching Developmentally. (9th ed.). England: Pearson Education Limited.

Ollerton, M. (2010) ‘Using problem-solving approaches to learn mathematics’ in Thompson, I. (ed.) Issues in Teaching Numeracy in Primary Schools (2nd edn), Maidenhead, Open University Press

The National curriculum states that in Mathematics teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is

For pupils to use a calculator effectively requires a sound knowledge of number. As children learn how to enter simple one step calculations that involve whole numbers, they can explore

The school worked on a year and a half form entry basis and so classes were generally small. During numeracy children were divided into three ability groups and each group was taught separately. My partner and I (Miss M) worked with the lower ability group. Ofsted (2009) noted that the ‘arrangements for teaching numeracy in smaller groups have had a dramatic effect on pupils' progress, improving mathematics from a relative weakness to one of the school's strengths.’ However, doing so may mean that children know that very little is expected from them. According to Cockburn (1999, p15) ‘if a child is labelled as not being able or lacking in confidence, it may not be very long before that child ceases to perform to the best of their abilities.’

Children at this age also have different skills related to numeracy. Fostering numeracy skills in early childhood education not only predicts for later Math achievement but also for greater literacy skills (NAEYC, 2009). Since mathematical concepts are often intertwined with so many areas such as science, literacy, dramatic play, block building, and more, math learning centers offering interdisciplinary materials and activities ensure that young children grow to understand and appreciate the real life applications of mathematical concepts (Fu, 2010).

Mathematics has always been a difficult subject for students. Many children have developed phobias and barriers towards mathematics, which prevail into adulthood, thus limiting their potential. This limitation implies problems of learning, resulting in the child a sense of inferiority.