Social Constructism Is Best For Teaching Mathematics

When the practitioners are planning, they can also ensure that they involve all children no matter what the mathematical ability to allow group learning and supporting one another which Vygotsky (Richard Culatta, 2015) says is how children learn best. Practitioners should plan for an enabling environment that promotes maths by surrounding the children in mathematical concepts and language, to support emergent maths. Practitioners should praise children. Practitioners should support all children’s development to ensure children and school ready and they are developing their emergent

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

It is crucial to develop in children the ability to tackle problems with initiative and confidence…mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri, 2006, p.2).

Learning can also be a mutual process, in which both the social pedagogue and the child learn something new and support each other in this.

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,

Educators can facilitate the children with different materials and environments in the classrooms that are in the early learning centres. The children need to develop their minds cognitively. “Children actively construct knowledge as they manipulate and explore their world” (Berk 2007). Children are needing to develop their abilities through their play experiences, and also through their play experiences, they can develop appropriately. Early childhood education plays a large part in a child's early development.

The great challenge for constructivism is that the world in which students and teachers interact is not utopian. Students come to class with predetermined ideas about a course, or with personal needs that distract from attention from the classroom experience. Some students are not willing or able to interact with peers due to emotional issues, thus

Teachers take on the role of learner as well as instructor and are there to guide the discussion towards learning objectives without just forcing their point of view on students. Another very important part from Vygotsky’s work is the concept of a student’s zone of proximal development (ZPD). Vygotsky (as cited by Eggen & Kauchak, 2011) described it as “the distance between the actual development level…and the level of potential development…under adult guidance…or more capable peers” Once a student is within their ZPD, they can vastly benefit from ‘scaffolding’, this is assistance from either the teacher or from peers in a collaborative group to achieve a level that they would be unable to do independently (Eggen & Kauchak, 2011). This scaffolding can take many forms, using prompts and cues, asking pertinent questions, the most important point is not to do the work for the student but to guide in the right direction.

Social constructivism’s origins are largely attributed to Lev Vygotsky (1978). Vygotsky believed that social constructivism is the idea that learning occurs when people are socially active; in other words, learning is created through our interaction with others. In a constructivist style classroom, the focus shifts from the teacher teaching the students to the students teaching each other and having more control over what they learn by asking questions and coming up with their own conclusion on things (2016). This style of teaching can be very successful when the teacher provides enough scaffolding. In a typical classroom, you have a teacher standing in the front of the room lecturing to students while they sit and take notes on the information being given so they can spit it back up for a test they will have at the end of the unit. In the constructivist style classroom, the students are pushed to be more active and engaged in their learning process (Education Theory). The teacher creates an environment where students are urged to speak up and share what they think and have the class run more on a student run process. The teacher’s role in this style is not to sit and lecture information but rather engage students actively to find this information on their own and discover it so that it creates more meaning and provides a better understanding. The main goal in this type of learning environment is problem solving. This style of teaching promotes self-guidance and can even

Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri).

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.

Lev Vygotsky is one of the earliest proponents of a constructivist learning theory. Although he only lived through the early 1930s, his work was largely unknown in the West until the 1960s (Learning Theories Knowledgebase, 2012). His significant contributions to constructivist learning theory include three important distinctions. First, he purports in Mind and Society: the development of higher mental process (1978) that “social interaction between people plays the first fundamental role in the process of cognitive development” (explained in the Learning Theories Knowledgebase, 2012). This means we first learn by watching others and discussing new information with others, only then do we attempt to use our own cognitive systems for storing that new knowledge individually. “Vygotsky focused on the connections between

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.

Teachers who have a constructivist basis for their philosophy of teaching and learning are seldom satisfied to use textbooks alone. Constructivists know that students must have motivation to search for meaning and create their own understanding of the world of ideas. When students want to know more about an idea, a topic, or an entire discipline, they put more cognitive energy into classroom investigations and discussions and study more on their own.