The Importance Of Impctivism In A Mathematics Classroom

Piaget was a constructivist theorist. He believed that people build up their own understanding of the

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.

Jean Piaget is a key figure for development, focusing on cognitive constructivism – that being that we must learn from experience and development, building on knowledge that has already been developed. The strengths and weaknesses of Piaget 's cognitive development theory will be discussed.

Jean Piaget and Lev Vygotsky both agree and disagree in the area of the Nature/Development of Intelligence. Piaget and Vygotsky agree on the idea of constructivism, the certainty that cognitive development happens by accumulation to and building from what is previously recognized and learned. Piaget was a trivial constructivist, he believed that individuals acquire knowledge by interacting with their environment and building on their knowledge and understanding of their environment. On the other hand, Lev Vygotsky was a social constructivist, believing individuals acquire knowledge through social interaction and learning from others. They also both agree that the restrictions of intellectual growth are defined by social interactions. Individuals acquire knowledge from interactions that they have already been exposed to and what other people can teach them, whether if it other children that are older than they are, adults in the life, or teachers. Jean Piaget believed that individuals acquire their knowledge by interacting in their environment, and it comes as a direct outcome of the individual’s actions on to their environment. Piaget believed that individuals must learn before they develop (Educational Psychology). According to Jean Piaget’s theory, the order of acquiring knowledge is an individual acts upon their environment, learning from the consequences of their actions, and then developing knowledge and understanding of

The constructivist view of development was formed by Piaget in the 1920’s and 30’s. Jean Piaget’s stage theory suggests that there are four stages of development that every child will experience and progress through, regardless of culture. Piaget also developed the concept of schemata, and the theory that children gained knowledge through interaction between experiences and schematic concepts.

A central concept in Piaget’s theory is that of the schema. It is defined as an internalized representation of the world or an ingrained and systematic pattern or thoughts, action, and problem solving. Our schemata are developed through social learning or direct learning. Both processes involve assimilation, which is

Piaget and Vygotsky both believed that young children actively learn from their hands-on, day-to-day experiences. Jean Piaget portrayed children as "little scientists" who go about actively constructing their understanding of the world. His theories hold the essence of developmentally appropriate curriculum since Piaget believed that children undergo cognitive development in a stage-based manner, such that a very young child would not think about things the same way that an adult might. He referred to the knowledge and the manner in which the knowledge is gained as a schema. In order to build on the cognitive stages that children experience, informal learning opportunities, formal instructional sessions, and the utilized curriculum must all dovetail with a child's current cognitive stage so that assimilation of the new knowledge may occur. Working with what the child knows and experiences, parents and teachers create bridges to the next cognitive stage that are characterized by the child's accommodation. Piaget argued that optimal learning took place in this manner and that adults should avoid thinking that they can accelerate a child's development through the age-based, maturity-referenced stages. This is because a child works toward establishing an equilibrium between the assimilation and application of new knowledge and changing their behavior to accommodate their newly adopted schemas.

It is my aim to adopt a social constructivist approach as a teacher. This will mean encouraging collaboration and work with other people; building on what children already know; scaffolding lessons to develop learning; improving mathematical language through communication; allowing children to experiment and explore new concepts for themselves. Yackel et. al. (1990) claim learning occurs not as students take in mathematical knowledge in ready-made pieces but as they build up mathematical meaning on the basis of their experience in the classroom.

Education is not the teacher but rather what the teacher does to encourage the transfer of knowledge. Students learn by an innate nature. It is this innate nature that drives humans to be curious and inquisitive enriching the learning process. Jean Piaget’s Developmental Stage Theory deals with the nature of knowledge itself and how humans come gradually to acquire, construct, and use it. According to

Jean Piaget's theory of constructivism disputes that people produce knowledge and form meaning, based upon their experiences. Two of the major components which establishes the construction of an individual's new knowledge are accommodation and assimilation. According to the website Gsi.berkeley.edu, “Cognitivist teaching methods aim to assist students in assimilating new information to existing knowledge, and enabling them to make the appropriate modifications to their existing intellectual framework to accommodate that information. Thus, while cognitivists allow for the use of “skill and drill” exercises in the memorization of facts, formulae, and lists, they place greater importance on strategies that help students to actively assimilate and accommodate new material.” For instance, asking students to explain new material in their own words can help them in assimilating it by forcing them to re-state the new ideas in their existing vocabulary. Even, providing students sets of questions to structure their reading makes it easier for them to relate it to previous material by highlighting certain parts and to accommodate the new material by providing a clear organizational

Constructivism is learning through experiences in our environment. Using this method we are essentially teaching ourselves through occurrences in our environment. This method of learning is demonstrated In a early childhood classroom by teachers providing guided opportunities that allow for children to explore their environment in various ways. At the end of these activities the teacher typically initiates a class discussion on the information learning through an activity. An example of an activity you may see in a classroom could be a scavenger hunt where the students find an object to match every color; this could take place inside or

Constructivism is a coherent theory of learning that emerged as a prevailing paradigm in the last part of the twentieth century. Constructivism is a theory which brings cogitation to pedagogy (Bruner, 1966). Constructivism capitalizes on the ways in which human beings create their own personal construct of reality by understanding and experiencing the world. The main underlying assumption of constructivism is that individuals are actively involved right from the birth in constructing personal meaning.

Furthermore, as I read the assigned articles and viewed videos, I realized that my teachers obviously, followed Piaget’s, Vygotsky. Dewey, and Bruner constructivist view because they used the theory of assimilation and accommodation, e.g., the learning of a new experience and changing of a person’s worldview. I also discovered after deep reflection on this week’s assignment, how much of an impact my teachers had on my teaching style. Before retiring, I taught based on what my students needed. Therefore, much of my teaching mixed the theories of, Constructivism, Social Constructivism and Cognitive-Behavioral depending on the student.

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.

There are five identified central tenets of constructivism as a teaching philosophy: Constructivist teachers seek and value students’ points of view. This concept is similar to the reflective action process we call withitness, in which teachers attempt to perceive students’ needs and respond to them appropriately; Constructivist teachers challenge students to see different points of view and thereby construct new knowledge. Learning occurs when teachers ask students what they think they know about a subject and why they think they know it; Constructivist teachers recognize that curricula must have meaning for students. When students see the relevance of curricula, their interest in learning grows; Constructivist teachers create lessons that tackle big ideas, not small bits of information. By seeing the whole first, students are able to determine how the parts fit together; Constructivist teachers assess student learning in daily classroom activities, not through the use of separate testing or evaluation events. Students