National Curriculum Paper

This paper will demonstrate the pre-service teachers’ understanding of mathematical practices as part of the Common Core State Standards in Mathematics. It will address two specific standards for Mathematical Practices, describing the essence of both and providing a description of how teachers facilitate these practices and how students are engaged in the practices.

Brady and Kennedy (2007) explain the stakeholders that influence the curriculum are classified into two specific groups. Individuals which consist of students, parents and teachers and their concerns with the curriculum and groups consisting of government, community groups, business community and Universities all of which garner their own interest to ensure society continues to be shaped by the correct curriculum (Brady & Kennedy, 2007). This highlights the need for a diverse level of input into the curriculum. Brady and Kennedy (2007) convey that everyone in the community has a role to play to shape the curriculum and as a society we look to give the young people and adults the essential knowledge, skills and attitudes to be productive and informed citizens. All individuals and groups help form and improve the curriculum and are an integral part of the future learning of

The origins of the word curriculum date back to ancient times and in fact the work comes from the Latin word of currere: a course or race or to run (Smith, 1996,2000). Over many decades, people have argued over the various definitions. Tanner (1980) defined it as “the planned and guided learning experiences and intended outcomes”, whilst Pratt (1980) defined it as a written document describing goals planned, objectives, content and evaluation. So s it a course of study? Or can it be defined as content or a product( Marsh, 2008). Marsh (2008) goes on to include that at a variety of learning sites are a set of objectives for student learning. We can also relate this to Tyler’s objective curriculum model being that the first step to curriculum is always to set the objective. The Model of Taba from 1962, is the same model at Tyler’s but includes interaction and flow between all four stages, so we do not always need the objective before we start writing the content to the curriculum.

Ralph Tyler (1957) describes curriculum as “. . . all the learning experiences planned and directed by the school to attain its educational goals (Glatthorn, 2011, p.3). Going by this definition, one can regard curricula as encompassing what is taught in the classroom, as well as

In this paper, I will be writing about the math curriculum, including geometry, taught in schools across America in grades first through twelfth. In addition, I will also discuss what students in other countries are taught in the areas of mathematics. Then, we will look at the level of mathematical knowledge of students in the United States compares to those other countries. Finally, we will find out if there is a way we can improve our educational system to better our future generations understand of mathematics.

Mathematics is the one of the most important subjects in our daily life and in most human activities the knowledge of mathematics is important. In the rapidly changing world and in the era of technology, mathematics plays an essential role. To understand the mechanized world and match with the newly developing information technology knowledge in mathematics is vital. Mathematics is the mother of all sciences. Without the knowledge of mathematics, nothing is possible in the world. The world cannot progress without mathematics. Mathematics fulfills most of the human needs related to diverse aspects of everyday life. Mathematics has been accepted as significant element of formal education from ancient period to the present day. Mathematics has a very important role in the classroom not only because of the relevance of the syllabus material, but because of the reasoning processes the student can develop.

Mathematical activities at Ysgol Dolafon are delivered in accordance with pupil’s individual needs and great deal of emphasis is given to continuity of learning. Ample opportunity is provided for pupils to discuss their understanding of concepts as they progress and teachers are aware of the importance of eliminating any gaps in the children’s mathematical knowledge. The Welsh Assembly Government guideline for Mathematical Development maintains that: ‘It is crucial that gaps in children’s mathematical learning are avoided, so that children do not miss out on essential elements in their understanding of mathematical concepts’ (WAG 2008) and Ysgol Dolafon fully agrees with that statement.

The development of a national curriculum for Australia is not a new endeavour (Marsh, 2010). The ideal is that national curriculum across Australia would mean that students are provided with a quality education that helps to shape the lives of the nations citizens and continue developing the productivity and quality of life within Australia. The Australian Curriculum Assessment and Reporting Authority [ACARA] have the task of developing and implementing a nationwide curriculum. ACARA (n.d.-c) claims have addressed needs of young Australians while considering that changing ways in learning and challenges will continue to shape students education in the future. A look at what the Australian Curriculum is, its purpose, structure and scope,

The National Curriculum is thought by many to be complex and unclear. However, it is at the heart of the education system in England. This is noted by Baumann et al (1997) and Kyriacou (2009) who document that the basis for the National Curriculum was established in the Education Reform Act 1988; creating the idea that education must begin with the needs and interests of the child. The following model acknowledges how the National Curriculum is central to a school and a pupils learning.

This report references the mathematics strand of the Australian Curriculum to identify, analyse and discuss specific content descriptors, elaborations, proficiency strands and general capabilities as observed in two mathematics lessons. Three best teaching practices common to the two lessons are identified and a detailed lesson outline has been created citing information accessible through the Australian Curriculum and Assessment Reporting Authority.

Each school have a variety of subjects and each subject needs a curriculum to teach students and help them to understand their subjects. Curriculum has a variety of elements. In fact, some of them are more important than others, such as content and assessment. In this paper I am going to give reasons of why I believe they are important.

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).

Similar to Skemp’s definition of mathematical understanding, Hiebert and Leferve suggested two mathematical types of knowledge: conceptual and procedural knowledge. Hiebert and Leferve’s (1986) explanation and definitions of procedural and conceptual knowledge have been reasonably influential in providing mathematics educators and researchers with a well-defined terminology to refer to learners’ knowledge of mathematics (Star: 2005, 406). Haser and Star (2004, 147) believe that proceptual and conceptual understanding are the two main fields that analyse the “nature of mathematical knowledge” while Hiebert and Leferve (1986, 1) attain that with the compact structure and distinctly defined content, mathematics “has provided an arena for much discussion of conceptual and procedural knowledge”.

Although it is impossible to agree on just one definition of curriculum, one can understand the idea based on how it functions in relation to education practice by aligning the three major types of curriculum, which are intended curriculum, implemented

Mathematics is the one of the most important subjects in our daily life and in most human activities the knowledge of mathematics is important. In the rapidly changing world and in the era of technology, mathematics plays an essential role. To understand the mechanized world and match with the newly developing information technology knowledge in mathematics is vital. Mathematics is the mother of all sciences. Without the knowledge of mathematics, nothing is possible in the world. The world cannot progress without mathematics. Mathematics fulfills most of the human needs related to diverse aspects of everyday life. Mathematics has been accepted as significant element of formal education from ancient period to the present day. Mathematics has a very important role in the classroom not only because of the relevance of the syllabus material, but because of the reasoning processes the student can develop.