National Mathematic Curriculum

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.

In 2015, I wrote about my personal philosophy of the gifted learner. I stated in my paper that, “Giftedness is not a one, set definition. The definition of gifted must encompass intellect, ability, creative talent as well as emotional awareness. It cannot be micro-managed and be a “one size fits all” definition” (Dauber, 2015). People, who are gifted, need differentiation and opportunity to express, demonstrate and show their giftedness. Educators must be able to provide opportunities for the gifted learner to express his/her abilities and/or talents. Gifted students learn differently and require special educational experiences in order to grow academically and achieve their highest potential. Therefore, the education field must be able to understand not only the cognitive side of a gifted learner but the affective or social/emotional aspects too.

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.

Upon observing your class, we have learned a lot about the methods you utilize in order to help the students with mathematics and about how the students learn. Observing your class was both an honor and a learning opportunity for us, as you are an important, and well-respected faculty member in the school system. However, while we appreciate your goals and tactics to make learning mathematics easier for the students, we have discovered some flaws in the use of mnemonics, rules, and tricks for helping students understand the subject material.

[Students who are gifted] give evidence of high achievement capability in areas such as intellectual, creative, artistic or leadership capacity, or in specific academic field, and who need services or activities not ordinarily provided by the school in order to fully develop those capabilities. ( No Child Left Behind Act of 2001 [NCLB], 2002, p. 526)

Using standards to plan and assess students is the key to a great education. The Missouri Common Core State Mathematic Standards K-2, the Next Generation Science Standards, and the National Research Council Process Standards and the eight Mathematical Practice Standards are all useful when planning and assessing. Knowing all the standards that you are required to use in your teaching will provide the best results in both of these aspects.

“It is the messy, complicated picture of teacher work with multiple contexts, interpretations and impositions of curriculum that we seek” (Ayers, W., Quinn, T., Stovall, D. O., & Scheiern, L. (2008, p. 308). The Nova Scotia mathematics curriculum was designed based on several key assumptions and beliefs about learning. Not all of these assumptions and beliefs are in line with cognitive science literature. First, the Nova Scotia mathematics curriculum states that, “students learn by attaching meaning to what they do and need to construct their own meaning of mathematics” (Nova Scotia Department of Education and Early Childhood Development, 2014, p. 25). While it is difficult to argue against the premise that meaningful learning is important,

The National curriculum states that in Mathematics teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is

This article focuses on the positions of both the National Council of Teachers of Mathematics (NCTM) and the National Association for the Education of Young Children (NAEYC) stating that having high quality, challenging and accessible math education is essential for 3-6 years olds, creating a promising future for students. Within their daily classroom setting, there needs to be a research based curriculum that includes policies, organized support and appropriate resources.

There are those who support the need for a common national curriculum in K12 schools and there are those who prefer K12 education be decided at the state or local level. Although there are strong arguments on both sides of the debate, I feel that providing a national curriculum to students until they enter college has several benefits. First, it promotes educational equity and equality; it promotes a more level playing field; and finally, it will decrease the need to waste time and funds in remedial education.

Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.

When teaching mathematical concepts it is important to look at the big ideas that will follow in order to prevent misconceptions and slower transformation

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.

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.