The manner in which the mathematics curriculum has been organized shapes learners’ opportunity to study. Algebra learning and teaching are possibly best studied in specific mathematical contexts and domains, but there might be facets of algebra learning and teaching that are increasingly general and may be learned across multiple contexts and domains. Where systematic analysis focused on learning explicit areas of algebra has been executed previously, for instance, research on students’ early study of numbers, subtraction, addition, the payoff for learning and teaching has been significant. This experience implies that it may be productive to focus the coordinated investigation on how students study within other contemporary domains of school math. Algebra would be defined broadly to embrace the manner in which it evolves right through the kindergarten to 12th grade (K–12) curriculum and its correlation to other algebraic topics on which algebra develops and to which it is linked(Bergstra, 2011).
Algebra as a School Subject and Mathematical Domain
Algebra is fundamental in every area of math since it grants the tools such as the structure and language for analyzing and representing quantitative interaction, modelling situations, solving problems, as well as for stating and establishing generalizations. A central facet of algebra in contemporary math is its capability to offer general and unifying algebraic concepts. This capability is a powerful source for building connectivity and coherence in the school math curriculum, in all grade levels, as well as across algebraic settings (Broué, 2011).
Historically, algebra started with the establishing of letter symbols in math expressions to symbolize names of uncertain quantities. These symbols may be unknowns in an algebraic equation that needs to be solved or variables in a functional correlation. As the uses and ideas of algebra expand, it has now included structural imagery of number systems as well as their generalizations, as well as the fundamental concepts of functions and their purpose in modelling empirical phenomena, for instance, as a method of encoding developing patterns observed within data. Algebra organizes the structure and analysis of formulas, equations, as well as functions that structure much of arithmetic as well as its (applications Narode, 2006). Algebra, as a mathematical domain as well as a school subject, today embraces all these themes.
Numerous researchers have already proposed several recommendations concerning the suitable curricular focus in regard to school algebra, and what represents proficiency in the K–12 algebra. Universal to the majority of the recommendations are the expectations associated with algebraic proficiency. These expectations are as follows.
- The aptitude to work meaningfully and flexibly with algebraic relations or formulas to utilize them in representing situations, manipulate them, as well as to solve the differential equations they symbolize.
- A structural comprehension of the essential operations of mathematics as well as of the notational depiction of numbers and algebraic operations, for instance, exponentiation, place value, and fraction notation.
- A strong understanding of the concept of function, together with symbolizing functions, for instance, analytic, tabular, and graphical forms. Having a fine repertoire of the fundamental functions including quadratic and linear polynomials, rational, exponential, as well as trigonometric functions. Employing the functions to learn the change of a given quantity with respect to another.
- Knowing the way to classify and name important variables to model quantitative context, identifying patterns, and utilizing symbols, formulas, as well as functions to symbolize those contexts.
The above recommendations also necessitate the theories of algebra to be rationally linked across the primary and secondary school and for teaching that builds these linkages. These are consistent with the direction of national and state structures and standards, and the evident trends in teaching materials utilized across the U.S. (Leykin, 2011).
Positive and Negative Impacts of Current Trends in Algebra Instruction
It is essential to mention that algebra is essential for investigating the majority of areas of science, engineering, and mathematics. Algebraic thinking, concepts, and notation are central in numerous workplace contexts as well as in the analysis of information that persons obtain in their everyday lives. Another reason for choosing algebra as a primary subject of focus is its formidable and unique gatekeeper function in K–12 schooling. Devoid of adeptness in algebra, students would not access a full assortment of career and educational options. Consequently, students would have narrow likelihood of success. Failure to study algebra is prevalent, and the penalty of this failure is numerous students become disenfranchised (Borasi & Smith, 2006).
This restriction of opportunity is most prevalent in groups that are underprivileged and exacerbates contemporary inequities in society. According to NCTM (2009), algebra ought to be considered as the latest civil right available to every U.S. citizen.
It ought to be noted that, numerous U.S. high schools currently require their students to display extensive algebraic proficiency prior to graduation. These requirements originate from the advanced standards for math that are currently adopted by the majority of states including the state of New Jersey (Smith, 2009). This is due to the universal public pressure for advanced standards and related accountability systems. The current “No Child Left Behind” legislation reinforces these moves. The considerable increase in expectations in regard to performance in algebraic proficiency connected with these standards inflicts challenges for teachers and students alike. It is evident that, in the near future, the absence of strong and functional research in favour of instructional development in algebra is prone to cause policy and interventions decisions that would be unsystematic and fragmented.
Such interventions would be susceptible to the polemics of a discordant political environment. In the long term, research and development in addition to trials and evaluation are obligatory to generate new instructional skills, materials, and programs that would facilitate the attainment of advanced standards for algebraic proficiency. There is a need for a tactical choice for dealing with equity concerns in algebraic education (Welchman, 2011).
Conclusion
Focusing on algebraic instruction brings concerns connected to the structure of the instructional curriculum in U.S schools, and New Jersey in particular. These concerns relate to the requirements for course options and high school graduation, as well as the uses of appraisals for functions of accountability that bear comprehensive consequences. Consequently, research is essential for a better understanding of the implications as well as results of diverse policy options and the range of structural and curricular choices. This is in relation to when algebra should be learnt, and who should learn it. In the middle school and high school curriculum, algebra is characteristically treated as a detached course, and presently the largest part of the material in the course is new to the students. On the contrary, math in elementary schools normally merges experiences of the student with a number of different algebraic domains. Such traditions have been subject to challenge by analyses that demonstrate that secondary curricula in many countries do not detach algebra in a course except for other subject areas. The U.S. requires taking a close look at the concern of algebra instruction and learning in the fragments of the population whose rate of success in learning algebra is below expectation.
References
Bergstra, K. (2011). Real-Time Process Algebra. Formal Aspects in Computing, 3(2):142-150.
Borasi, R. & Smith, C. (2006). Using Reading to Construct Mathematical Meaning. Communication in mathematics K-12 and beyond. Reston, VA: NCTM.
Broué, M. (2011). Journal of Algebra. Journal of Algebra Production. 25:2, 134-143.
Leykin, T. (2011). D-modules for Macaulay 2. Mathematical Software: ICMS 2002, World Scientific, 63:2, 69.
Narode, R. (2006). Communicating Mathematics through Literature. Communication in Mathematics K-12 and Beyond. Reston, VA: NCTM.
National Council of Teachers of Mathematics. (2009). Curriculum & Evaluation Standards for School Mathematics. Reston, VA: NCTM.
Smith, D. (2009).The Math Curse. Rutherford, NJ: Viking Press.
Welchman, R. (2011). How to use children’s literature in Mathematics Instruction. Reston, VA: NCTM.
Get Professional Assignment Help Cheaply
Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?
Whichever your reason is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.
Why Choose Our Academic Writing Service?
- Plagiarism free papers
- Timely delivery
- Any deadline
- Skilled, Experienced Native English Writers
- Subject-relevant academic writer
- Adherence to paper instructions
- Ability to tackle bulk assignments
- Reasonable prices
- 24/7 Customer Support
- Get superb grades consistently
Online Academic Help With Different Subjects
Literature
Students barely have time to read. We got you! Have your literature essay or book review written without having the hassle of reading the book. You can get your literature paper custom-written for you by our literature specialists.
Finance
Do you struggle with finance? No need to torture yourself if finance is not your cup of tea. You can order your finance paper from our academic writing service and get 100% original work from competent finance experts.
Computer science
Computer science is a tough subject. Fortunately, our computer science experts are up to the match. No need to stress and have sleepless nights. Our academic writers will tackle all your computer science assignments and deliver them on time. Let us handle all your python, java, ruby, JavaScript, php , C+ assignments!
Psychology
While psychology may be an interesting subject, you may lack sufficient time to handle your assignments. Don’t despair; by using our academic writing service, you can be assured of perfect grades. Moreover, your grades will be consistent.
Engineering
Engineering is quite a demanding subject. Students face a lot of pressure and barely have enough time to do what they love to do. Our academic writing service got you covered! Our engineering specialists follow the paper instructions and ensure timely delivery of the paper.
Nursing
In the nursing course, you may have difficulties with literature reviews, annotated bibliographies, critical essays, and other assignments. Our nursing assignment writers will offer you professional nursing paper help at low prices.
Sociology
Truth be told, sociology papers can be quite exhausting. Our academic writing service relieves you of fatigue, pressure, and stress. You can relax and have peace of mind as our academic writers handle your sociology assignment.
Business
We take pride in having some of the best business writers in the industry. Our business writers have a lot of experience in the field. They are reliable, and you can be assured of a high-grade paper. They are able to handle business papers of any subject, length, deadline, and difficulty!
Statistics
We boast of having some of the most experienced statistics experts in the industry. Our statistics experts have diverse skills, expertise, and knowledge to handle any kind of assignment. They have access to all kinds of software to get your assignment done.
Law
Writing a law essay may prove to be an insurmountable obstacle, especially when you need to know the peculiarities of the legislative framework. Take advantage of our top-notch law specialists and get superb grades and 100% satisfaction.
What discipline/subjects do you deal in?
We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline.
Are your writers competent enough to handle my paper?
Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable.
What if I don’t like the paper?
There is a very low likelihood that you won’t like the paper.
Reasons being:
- When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills.
- We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade.
In the event that you don’t like your paper:
- The writer will revise the paper up to your pleasing. You have unlimited revisions. You simply need to highlight what specifically you don’t like about the paper, and the writer will make the amendments. The paper will be revised until you are satisfied. Revisions are free of charge
- We will have a different writer write the paper from scratch.
- Last resort, if the above does not work, we will refund your money.
Will the professor find out I didn’t write the paper myself?
Not at all. All papers are written from scratch. There is no way your tutor or instructor will realize that you did not write the paper yourself. In fact, we recommend using our assignment help services for consistent results.
What if the paper is plagiarized?
We check all papers for plagiarism before we submit them. We use powerful plagiarism checking software such as SafeAssign, LopesWrite, and Turnitin. We also upload the plagiarism report so that you can review it. We understand that plagiarism is academic suicide. We would not take the risk of submitting plagiarized work and jeopardize your academic journey. Furthermore, we do not sell or use prewritten papers, and each paper is written from scratch.
When will I get my paper?
You determine when you get the paper by setting the deadline when placing the order. All papers are delivered within the deadline. We are well aware that we operate in a time-sensitive industry. As such, we have laid out strategies to ensure that the client receives the paper on time and they never miss the deadline. We understand that papers that are submitted late have some points deducted. We do not want you to miss any points due to late submission. We work on beating deadlines by huge margins in order to ensure that you have ample time to review the paper before you submit it.
Will anyone find out that I used your services?
We have a privacy and confidentiality policy that guides our work. We NEVER share any customer information with third parties. Noone will ever know that you used our assignment help services. It’s only between you and us. We are bound by our policies to protect the customer’s identity and information. All your information, such as your names, phone number, email, order information, and so on, are protected. We have robust security systems that ensure that your data is protected. Hacking our systems is close to impossible, and it has never happened.
How our Assignment Help Service Works
1. Place an order
You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.
2. Pay for the order
Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.
3. Track the progress
You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.
4. Download the paper
The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.
PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A PERFECT SCORE!!!
