Manipulatives In Early Childhood Education

According to Anthony & Walshaw, (2009) within a constructivist view, it is a teacher’s role to facilitate the learning of a child by providing a resource rich environment from which they guide a students learning. A student within a constructivist-learning environment must become engaged in the learning process by becoming a researcher, identifying a problem, collecting and analysing data and formulating a conclusion. This process of engagement provides a student with endless opportunity to develop his or her own understanding and knowledge. An educators ability to understand this learning theory as a process of construction and development provides a conceptual framework from which to build a teaching practice.

Chapter two discusses various theorists that helped to mold and shape early childhood education to where it is today. There are several different theorists that contributed to the development of early childhood education. Some of these theorists include Alfred Adler, Jean Piaget, Lev Vygotsky, and John Dewey. Each theorist developed a unique theory that has caused early childhood guidance and education to flourish like it has today. Without learning and building on these theories, early childhood guidance and education would never develop or change. The chapter explains how some theories may seem strange to the contemporary families, but these theories are the foundation of how early childhood education got to where it is today. The book goes

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

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.

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,

This synthesis paper is examining the direct link between counting and building student’s number sense. The study conducted by Baccaglini-Frank and Maracci (2015), number sense as being vital to learning formal mathematics and stated there was a positive correlation between using fingers for counting and representing numbers has a positive effect on number sense. Students need opportunities to practice counting and establish foundational skills in number sense in order to be successful during their mathematical futures. It was determined that touching, moving, and seeing representations are essential components of the mathematical thinking process (Baccaglini-Frank & Maracci, 2015).

During the Foundation Phase, children develop their skills, knowledge and understanding of mathematics through oral, practical and play activities. In our setting children`s mathematical development is supported by different activities. Children are encouraged to develop their understanding of measurement units, investigate the properties of shapes and develop early ideas of reasoning and basic mathematical procedures through practical opportunities. These opportunities include cooking, exploring and counting activities.

This research report presents an analysis of and conclusions drawn from the experiences and perspectives of two educators that work in the early childhood setting. The main objective is to identify key elements and issues in relation to the families, diversity and difference. In particular how an early childhood educator implements, different approaches to honour culture and diversity, and to advocate for social justice in an early childhood settings. As such, it allows an insight into the important role that families and their background plays in the everyday lives of the children and educators within early childhood settings. In today’s ever-changing growing society it is essential for educators to be flexible to the

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

Manipulatives in mathematics are practical apparatus that enable us to pick them up and manipulate them, such as; counters, multi-link cubes, digit cards, Cuisenaire rods, base ten, bead strings, place value counters and Dienes apparatus. They contain different aspects of mathematics

Physical manipilatives have been around since the beginning of time, some examples of manipulatives are counting beads, the abacus and counting sticks. Physical manipulatives are objects to be handled and arranged by students and teachers that are used to convey abstract ideas or concepts by modeling or representing their ideas concretely. (National Council of Teachers of Mathematics,

In the article published by Florence in ehow.com, she discussed the effects of math manipulatives, as

In reality, no one can teach mathematics. Effective teachers are those who can stimulate students to learn mathematics. Educational research offers compelling evidence that students learn mathematics well only when they construct their own mathematical understanding (MSEB and National Research Council 1989, 58). The constructivist theory first began making its way into the teaching style of math in the later 20th century (although ideas of constructivism have existed prior to the 20th century - Dewey, Piaget,

Constructivism is connected to the theories of Piaget and Vygotsky. Piaget believed that cognitive development occurred in four stages that have distinct developmental characteristics.  He theorised that all information is organised into ‘schemas’, and this refers to the manner in which a child organisesand stores information and knowledge received. As new information is received, it is either incorporated into existing schemas (assimilation) or new schemas (accommodation) are created (McDevitt & Ormrod, 2010).  Vygotsky’s theories compliment those of Piaget and place a greater importance on social interaction as he considered cognitive development predominately was achievedthrough social interaction.  Vygotsky believed that learning could be accelerated with the assistance of a more advanced peer or teacher.  This concept is referred to as the zone of proximal development (ZPD) and works in conjunction with the theory of ‘scaffolding’, where a teacher provides support to student and as proficiency increases the scaffolding is decreased (Marsh, 2008). Evidence of scaffolding is seen throughout the Maths video as Ms Poole provides an outline of the lesson and the goals to allow students to establish a focus.