Teaching Strategies For Using Geometric Growing Patterns By Developing An Understanding Of Functional Thinking

One thing that puts an adolescent in the formal operational stage is the ability to think abstractly about

The sensorimotor stage infants develop their schemas through sensory and motor activities. Followed by the preoperational stage where children begin to think symbolically using words, to represent concepts. Next concrete operational stage children display many important thinking skills, like ability to think logically. Finally, formal operational stage young adolescences formulate their operations by abstract and hypothetical thinking. Piaget’s theory provides ample and insightful perspectives, so it remains the central factor of contemporary

Using material from item A and elsewhere assess the contribution of functionalism to our understanding of the role of education.

Education prepares children for the world of work and helps them to develop their personal talents, discover who they are, and where they would best fit into society’s workforce as viewed by the Functionalist. They see three main function of education; role allocation, providing skills, and socialization. Education can be seen to provide pupils/ students with the curriculum and hidden curriculum; teaching skills that will prepare them physically, mentally and socially for the world of work in later life (Szarowicz, 2004).

Education theory can either be descriptive like the sciences or normative like in philosophy. Education theory postulates what education processes are supposed to consist of; it sets the standards, norms, and goals in carrying out an education process. The scientific education theory gives a set of hypotheses, which have to be experimented and verified. The two approaches have produced two broad categories of education theories, which are the functionalist’s theory of education

     Functionalists view the role of education as a means of socialising individuals and to integrate society, to keep society running smoothly and remain stable. Emile Durkheim, creator of the Organic Analogy, was a functionalist during the 1870’s. Durkheim believes that society can only survive if its members are committed to common

The fourth stage of Piaget’s Cognitive Stages of Development is the Formal operational stage. This stage is normally reached at age 11. These children are usually able to logically use symbols related to abstract concepts, such as algebra and science. These children can think about multiple variables in systemic ways, form hypotheses, and consider possibilities. Although Piaget believed in lifelong intellectual development, he insisted that the formal operational stage is the final stage of cognitive development, and that continued intellectual development in adults depends on the accumulation of knowledge (Shroff, 2015).

Multiplicative thinking is imperative to a child’s understanding of important mathematical concepts and is seen as the ‘big idea’ in number that links multiple key ideas and strategies (Vergnaud, as cited in Siemon, 2011). Commonly, children have a procedural based view of multiplicative thinking which can hinder progress, as opposed to a more conceptual view which is a far better learning framework (Hurst & Hurrell, 2016). If teachers are to maximise a child’s learning, they must acknowledge this and help children maintain a conceptual understanding of multiplicative thinking and emphasise this much more so than procedural rules. Several key ideas and strategies underpin the success of multiplicative thinking and a greater conceptual understanding.

In the concrete operational stage between the ages of seven and twelve, children become capable of logical thought, they also start to be able to think abstractly. However they are best suited to visible or concrete objects and things they can see (Lee and Gupta). Once the child has reached the formal operations stage from twelve years onwards it becomes more practiced at abstract processing, carrying out problem solving systematically and methodically thus completing the cognitive development process.

Having attended public schools throughout my childhood and adolescence, I never was familiar with the term functionalism and its many elements. After observing and analyzing my field placement classroom I have come to understand the concept of functionalism to some extent. In general, functionalists “see schools as serving to socialize students to adapt to the economic, political, and social institutions of that society” (Feinberg, p.6, 2004). They also theorize that in order for societies to survive, they must carry out vital functions such as, attaining fundamental knowledge and acquiring essential skills and proficiency, acknowledging certain norms and values within their community, and recognizing authority figures. It is also

Visual models known as arrays or grids can be introduced early to assist students thinking by providing a visual representation when going from adding to multiplying. In addition, arrays are a great

Both Berk (2010) and Lucile Packard Children's Hospital at Stanford (2012) claim that by this age an adolescent should be thinking in more abstract, systematic and logical ways. Therefore, according to the articles researched for this issue and the behavior exhibited by this adolescent would indicate a delay in cognitive development. This delay not only affects his personal reasoning, but also has delayed his cognitive development to solve hypothetical problems, thus, lower his ability solve situations not yet experienced. Remaining in the concrete operational

Based on several studies, one of the best ways to understand mathematical ideas and apply these ideas is through the use of manipulatives. Students explore these manipulatives, however, it is important that they make their own observations. The teacher then should model and show how to use the materials and explain the link of these materials to the mathematical concept being taught. Schweyer (2000) stated that students learn best when they are active participants in the learning process where they are given the opportunity to explore, assimilate knowledge and discuss their discoveries.

Functionalists believe mass formal education is an essential part of

The main point the functionalist perspective on education is that society comprised of parts which encourage the framework in general and that adjustment in one a player in the public As a result, Functionalist theory on education shows that it assumes an indispensable part of people 's lives and society. For examples, when the society has a lot of educated people it will became more prosperous. On the other hand the society that has less educated people it will became illiterate.