Teaching Curriculum For Teaching Maths

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

Piaget developed a workable theory that has had considerable implications for education, most notably for child-centred learning methods in nursery and infant schools. Piaget argued that young children think quite differently from adults so therefore the teacher should adapt the teaching methods to suit the child. For example, nursery school classrooms can provide children with play materials that encourage their learning. Using sets of toys that encourage the practice of sorting, grading and counting. Play areas, where children can develop role-taking skills through imaginative play. Materials like water, sand, bricks and crayons that help children make their own constructions and create symbolic representations of objects and people in their lives. A teacher’s role is to create the conditions in which learning may best take place.

Piaget and Vygotsky have antonymous beliefs when dealing with the concepts of cognitive development. Vygotsky believes in development through social behaviour whilst Piaget believes in individuals acquiring knowledge on their own. Both however, believe that the interaction between development and learning hold significant implications for a child’s growth. This essay discusses some of the philosophical beliefs of each theorist in regards to a scenario based in the classroom of a year five teacher named Ann. Ann reinforces classroom lessons through the outdoor environment, exemplifying Piaget’s theories of constructivist based

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

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.

Essential aspects that underpin the professional and dedicated educator include the revising of knowledge and experience, reflection, and an effort in understanding their students. Within mathematics, these skills are informed by the curriculum chosen, the students involved, and the pedagogy that is selected, that create the professional judgement cycle (as seen in Appendix One) (Department of Education and Training Western Australia [DETWA], 2013a). The more teachers understand about their students, the more they can adapt the learning environment to cater for these different learning approaches (Burns, 2010).

Behaviorism is one of the most used theories in education. Due to it can fit in both a classroom setting and at home. Educators had sought out the reason why for many years. But due to each child learns a different way so should the educator. Behaviorism was study by many great Psychologists over the years. Just to name some that had done work and publish books on the subject are, John Watson, Ivan Pavlov, Clark Hull, and B.F. Skinner.

What is the most effective way to teach? Can students really learn and fully understand the material teachers convey to them on a day to day basis? According to a middle school mathematics teacher, his methods of teaching the traditional way was not as effective and producing a long-term impact as he would have liked. The article "Never Say Anything a Kid Can Say!" enriches us to the possibility of applying slight gradual modifications to our teaching methods and how we could find ways to utilize that information in the search for more effective teaching methods to encourage students to explain their thinking and become more deeply involved in the classroom discussions, thus developing their questioning skills (Reinhart, 2000). After

Piaget’s cognitive constructivism also has its place in the classroom. As discussed by Kamii & Lewis (1990), students doing maths problems learn better by constructing them internally, by ‘playing around’ with numbers, using games and real life situations to link the base knowledge they need to fulfil the learning outcome with concrete examples. Students can relate more to these

In contrast to this view Les Vygotsky, whose theories have also been implicated in modern educational teaching methods, explained that children can learn skills that are just beyond their ability if they are helped by someone who possesses that skill, this was known as proximal development and although it contradicts the fundamental argument behind Piagets support for cooperative learning, it provides an other theorists outlook on the benefits of cooperative learning in educational settings and thus increases support on its use. “Different learning theory approaches favour cooperative learning for different reasons” (O’Donnell, 2002)

Collaborative learning stems from the theory of Vygotsky’s conception of Zone of proximal development. The thought is that children learn best with “help and guidance” (Ormrod, 2012). In transitioning this zone to a collaborative learning experience, children work with their peers in broadening their learning experience, allowing small groups of students to work together to share knowledge, exchange ideas, problem solve, and more. These classroom environments help to create durable abilities in students and aid in producing a “smoother integration into adult society when the activities resemble real-world tasks” (Ormrod, 2012). As students work with peers and adults, they adopt some of the learning strategies demonstrated and develop more skills in problem solving. This scaffolding creates a trickle-down effect of knowledge construction. In collaborative learning, students are afforded a myriad of enriching opportunities to explore perspectives that may differ from their own. These activities serve to create a self-awareness in the student of their responsibilities to a group, requiring them to self-monitor their activity (Lee, Tsai, Chai, & Koh, 2014).

Many educators will argue what makes an effective teacher and how that correlates with the function of the classroom. When we talked about how to be an effective teacher we discussed three components, teaching through problem-solving and selecting appropriate tasks, creating appropriate environments and using appropriate interventions. In my field experience, I was able to observe these three effective mathematics teaching components and understand how they apply to the classroom. After leaning about these components, I was then able to use them in my personal experience and see how they

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.

The term behaviorism referred to the school of psychology founded by John B. Watson based on the proposition that all things which organisms do — including acting, thinking and feeling—can and should be regarded as behaviors (Staddon, 2001) . And this behavior could be researched scientifically . According to Pavlov, "Respondent Conditioning” resulted from the association of two stimuli, such as causing dogs to salivate at the sound a tuning fork. Consequently, Skinner developed “Operant Conditioning” where the “Stimulus-Response” association was elicited through selective reinforcement (rewards or punishments) to shape behavior. In this regard, behaviorism assumed that a learner was a passive recipient and responding to environmental stimuli. When applying the tenets of Behaviorism to teaching, Skinner asserted that the learner started off as a blank slate, and then his behavior was shaped via positive or negative reinforcement. Behaviorist