Understand Current National and Organisational Frameworks for Mathematics

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

The objective of EDC141: The Numerate Educator was for students to obtain the chance to develop their mathematical skills, build mathematical competency, and positively chance their disposition (as a pre-service teacher) towards the importance and the functionality of maths. The key to success is to learn from one’s mistakes and work (by practicing mathematical questions) to further improve one’s results. This I managed to do by increasing my Mathspace results from 64% to 68% (as shown in Appendices 1A). The Australian Curriculum focuses on developing student’s capabilities in six areas: number, Algebra, Geometry, measurement, statistics and probability. Using evidence from the Mathspace test results, the NAPLAN results and activities of ‘What

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

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.

Mathematical activities at Ysgol Dolafon are delivered in accordance with pupil’s individual needs and great deal of emphasis is given to continuity of learning. Ample opportunity is provided for pupils to discuss their understanding of concepts as they progress and teachers are aware of the importance of eliminating any gaps in the children’s mathematical knowledge. The Welsh Assembly Government guideline for Mathematical Development maintains that: ‘It is crucial that gaps in children’s mathematical learning are avoided, so that children do not miss out on essential elements in their understanding of mathematical concepts’ (WAG 2008) and Ysgol Dolafon fully agrees with that statement.

Every day, mathematics is used in our lives. From playing sports or games to cooking, these activities require the use of mathematical concepts. For young children, mathematical learning opportunities are all around them. Knaus (2013) states that ‘Young children are naturally curious and eager to learn about their surroundings and the world they live in’ (pg.1). Children, young and old, and even adults, learn when they explore, play and investigate. By being actively involved, engaging in activities that are rich, meaningful, self-directed and offer problem solving opportunities, children given the chance to make connections with their world experiences (Yelland, Butler & Diezmann, 1999). As an educator of young children,

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.’

Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.

The emergence of the ability to think and understand moves from being dependent on Actions and perceptions in infancy to an understanding of the more abstract aspects of reality in childhood to the underlying abstract rules and principals in adolescence.

It is important to support the development of language, literacy and numeracy at this early stage as it forms the basis for each child’s future learning needs and ability and will also allow you to observe and understand if there is a need for additional support. It will also help children to grow and to become confident, educated individuals and succeed in their life goals.

Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.