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Mathematics Education Term Paper

… Mathematics Education

The objective of this work is to describe five specific methods of questions and strategies that encourage students to discuss their ideas, procedures, rules and definitions that they used to solve a problem and to discuss at least four ways in which justification of solutions to improve students' relational understanding of mathematics.

The work of Jones (2000) entitled: "Instructional Approaches to Teaching Problem Solving in Mathematics: Integrating Theories of Learning and Technology" states that: "Problem solving is defined by Kantowski as 'a situation for which the individual confronting it has no readily accessible algorithm that will guarantee a solution." (2000) NCTM standards define problem solving as "the process by which students experience the power and usefulness of mathematics in the world around them."…. [read more]

Mathematics Learning Essay

… " (p. 1) The teacher as an instructor has the intended outcome for students of "skills mastery with correct performance." (Ernest, 1991. p. 1) Whereas the role of the teacher as an explainer has the intended outcome of "conceptual understanding with unified knowledge." (Ernest,, p. 1) Finally, the teacher as a facilitator has the intended outcome of "confident problem posing and solving." (Ernest, 1991, p. 1) Swan (2006) speaks of the traditional method of teaching mathematics and states that when it is reversed it is "builds on the knowledge that students already have" and additionally "exposes and discusses common misconceptions" and "uses higher-order questions." (p. 169) Swan additionally reports that traditionally teaching utilizes small group work and encourages "reasoning rather than 'answer getting' and uses…. [read more]

Education Term Paper

… Conclusion

NCLB educational policy came into effective in 2002 with the aim of enhancing educational levels in the context of district schools receiving low funding from states and local entities. NCLB educational policy should focus on integration of new qualification standards for teachers, concentrate on the improvement of schools, as well as include higher-thinking and problem-solving skills. These recommendations will enhance the ability of the federal and states governments in improving educational levels across the United States.


Tavakolian, H., & Howell, N. (2012). The Impact of No Child Left Behind Act. Franklin

Business & Law Journal, (1), 70-77.

Daly, B.P., Burke, R., Hare, I., Mills, C., Owens, C., Moore, E., & Weist, M.D. (2006).

Enhancing No Child Left Behind -- School Mental Health Connections.…. [read more]

British Education System a Scheme Essay

… Time management plays an essential role in ensuring that there is proper allocation of time in all the topics in the course outline. With regards to this, design of my scheme of work is that it makes sure that there is enough time to handle every topic successfully. In addition, proper allocation of time when designing a scheme of work helps in estimating the total amount of time required to complete a particular course.

Textbooks are an essential part of learning any course. Textbooks assist the teacher as well as students in getting necessary materials concerning their course. On the side of the teachers, the textbook assists the teachers to get more information in various topics that are in the course outline. In addition, textbooks…. [read more]

Mathematics My Role as a Special Education Term Paper

… Mathematics

My role as a Special Education Teacher

Despite the fact that education is not referenced in the U.S. Constitution, nations that declared that they have "undertaken to provide" it ought to provide extended educational prospects fairly. Appropriate development securities are assured by the Fifth and Fourteenth Amendments that are:

No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws."

Initially intended as safety measures in opposition to any sort of undeserved custody and securities for real estate tenure, "liberty" and "property" agreements…. [read more]

Education the Lesson Has a Clear Purpose Term Paper

… Education

The lesson has a clear purpose which is transmitted during lesson presentation.

In the introduction to the film, the teacher clearly states her objectives for the lesson and explains the use of the pan balance as a tool to teach pre-algebra to fifth graders. The pan balance offers a visual, tactile method that students can use to supplement the equations in their texts. Equations that are generally represented with equal signs can now become visualized more in terms of their algebraic meaning: as balance between the two sides. Finally, the instructor emphasizes that the basis of the lesson is to understand the concept of equality or equivalence: which is central to the study of algebra.

The lesson refers to background knowledge and information from…. [read more]

Education Research-Based Cooperative Learning Literature Review Good Research Paper

… Education

Research-based Cooperative Learning Literature Review

Good writing skills are critical for today's students to be successful. Most teachers would agree that communication is pretty important in education. In fact, it's a necessary component of education, livelihood, and basic functionality in our society. it's also fairly obvious that there are two main ways to communicate, although more obscure forms exist. Basically, we talk and we write. That's how we let other people know what's going on, and it's an important skill to have. Unfortunately there are many students who do not write well and could really use work on their skills in order to get better.

Writing skills help a student attain self-determination, clarity, fluency and creativity in writing. If students master these skills, they…. [read more]

Problem Solving in Mathematics GCSE Essay

… Not only that, the teacher should have certain beliefs and a positive attitude. Problem solving in this course would be developed effectively, if the student's right and wrong response is met with encouragement. Any sort of discouragement or negative feedback can render them incapable of solving further problems.

As for the students, their knowledge and background holds a lot of importance. Surely, if a student is more learned and has more knowledge, then his understanding of new concepts would be better as opposed to the different students. Learning habits, previous knowable experience and the environment also makes a lot of difference. If the student is constantly discouraged by his peers and his parents, then he might not be able to do well in the problem…. [read more]

Mental Models in Contemporary Education Essay

… Mental Models in Contemporary Education

Common Mental Models in Educational Organizations

The two most common or pervasive mental models in contemporary American education are those corresponding to the Industrial Age or "factory" model and the Knowledge Age or "learner-centered" model (Duffy, 2009). Briefly, the former emphasizes the provision of education to learners in relatively large groups and the reliance on a general curriculum that is substantially identical for all students. The latter emphasizes the provision of education to smaller groups of students and the differences in interest and abilities of individual learners (Duffy, 2009).

Likely Genesis of Mental Models

We know the genesis of the primary mental model in contemporary American education because it is preserved in the historical record of the growth and evolution…. [read more]

Higher Education Investment Essay

… Markets are open for competition both from trade and services point-of-view. As organizations are becoming multinational and international, people are learning new skills which are helpful to perform in multicultural environment. If these individuals are graduated from the universities which already promote multicultural environment, the overall industry can reap the benefits of talented human beings (Ferranti, 2003).

Hence, it is important that universities offer education to people belonging to various areas and cultures. It is where the importance of quota system is highlighted. It restricts universities to give admission to people belonging to various cultures hence a university enjoys a multicultural environment. As there are students belonging to various demographic and social factors, the increased diversity leads to rich experience of learning and overall grooming.…. [read more]

Interdisciplinary Education in Earth Sciences Essay

… Expected Outcomes:

Expected outcomes, especially in terms of critical learning skills, are driven by the New York State Common Core Standards, which provide a framework for the increased challenge and aptitude correlated to progressive interdisciplinary reading. To this point, "the Standards define a three-part model for determining how easy or difficult a particular text is to read as well as grade-by-grade specifications for increasing text complexity in successive years of schooling." (NYSED, p. 4) The three parts require a Qualitative, Quantitative and Task-Drive evaluation of texts. These evaluations inform the expected outcome of progress during a project that would incorporate increasingly challenging readings and concepts across a two-week duration.

Grading Policy:

Student evaluation should be based primarily on more dynamic modes of assessment than simple…. [read more]

History of Education in Kuwait Research Paper

… The ratio of national to expatriate teachers over the years of reformation has not remained stagnant. Significant fluctuations have been noticed and are described below (Ministry of Education, 2008).

In 1982, public schools employed 24,367 teachers in total, of which only 6,478 belonged to Kuwait. On the contrary, in academic year of 1997-1998, public schools employed 27,359 teachers in total, of which 17,357 were Kuwaiti citizens. Therefore, the ratio of national to expatriate teachers increased from 1.3:7.6 in 1982 to 1.7:1 in 1998. This indicates that although assistance of foreign teachers was sought in the early days of development, this dependency reduced largely when Kuwaiti citizens were in a better position to perform these services. However, the ratio is just a statistical analysis and a…. [read more]

Real Education: Four Simple Truths Book Review

… While Murray does little to focus on these aspects of a children's school environment, he does consistently make mention of the differentiation between academically-savvy students and others, but this focus is unlikely to garner the acceptance of many readers who disagree with Murray's beliefs.

In evaluating the book in its entirety, it must be said that Murray does a full and accurate job in writing to his audience, which is largely those in agreement with his beliefs. While critics of his beliefs may find certain areas of though relevant, such as Murray's mention and use of statistics and facts about America's currently depleted educational system, it remains unlikely that these critics, upon reading Murray's work, will align fully with his beliefs and suggestions for improvement.…. [read more]

Standards Base Education Thesis

… Standards-based education, which was created on order to establish fair and consistent expectations for all students and to provide accountability in schools, has had a positive impact on education in America.

The work of Kate Menken and Phillipe Holmes entitled: "Standard-Based Education Reform and English Language Learners" states that "Standards and assessment have been pivotal themes in recent reform efforts, and to cut across much of the federal legislation passed by Congress in the last decade to improve the education of all students." (2000) Menken and Holmes relate that six broad education goals for improvement of education and to raise the achievement of students were passed into law by Congress in 1994 in the 'Goals 2000: Educate American Act. This required that states adopt "challenging…. [read more]

Personal Statement University Waterloo Essay

… As I'm sure you will agree, time is very important at my age and while some believe that studying can prevent them from having fun that they are suppose to have at this time, I believe that fun does not necessarily have to be equivalent to activities that have nothing to do with school. I'm not saying that people should refrain from practicing sports with the purpose of releasing tension or that everyone should simply take on math whenever they feel that they want to do something fun. I'm only implying that mathematics is (for me, at least) a method of relaxation and that it can also be successfully applied in unconventional environments (such as a park or the seaside while lying on your back…. [read more]

Curriculum Design Essay

… Curriculum Design

Mathematics -- Trigonometry


Spiritual Principle: "And he [Hiram] made a molten sea, ten cubits from the one rim to the other it was round all about, and...a line of thirty cubits did compass it round about....And it was an hand breadth thick...." -- First Kings, chapter 7, verses 23 and 26

This refers to the importance of studying exact measurements (see note) and utilizing mathematical principles to perform accurate calculations.

Students will apply the basic principles of trigonometry to investigate and explain the characteristics of rational functions. Students will apply these basic principles to understand why trigonometric measurement is necessary based on the limits of geometrical measurement. Students will understand basic principles of ratio, sine, cosine, and tangent. Students will be able…. [read more]

Division by Zero Mathematics Term Paper

… Also, since any number times zero will equal zero, there is no one unique solution for the answer. Example problems such as 2x0 = 0 and 1450 x 0 = 0 show that a number times zero equals zero. However, at the same time, zero times itself does not equal the number multiplied by zero. The answers cannot be duplicated when the reverse operation is performed (Knifong 1980,-page 179). Even 0 x 0 = 0 is problematic in that zero divided can be divided by itself and multiplied by itself an infinite number of times.

In higher mathematics, such as calculus, the question of division by zero becomes even more complicated. Asymptotes, for example, are lines which correspond to the zeroes of the denominator of…. [read more]

Frege's Much-Discussed Book, the Foundations Book Review

… "

Importantly, Frege argued that analytic judgments govern the laws of arithmetic, and thus these laws exist a priori. This analysis was likely one of the most important contributions of The Foundations of Arithmetic.

As defined in The Foundations of Arithmetic, Frege's main analysis that the laws of arithmetic are a priori has important consequences. Frege notes that the definition of the laws of arithmetic as a priori results in the following: "Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction."

Frege has a great number of influential and important admires. For example, the…. [read more]

Education Research Planning Term Paper

… " When an educational goal can be clearly stated and is future focused, educational progress becomes based on ideas that have a clear applicability to student's lives and futures, and also can be "validated by well-designed, well-executed research," focused objectives are more easily "translated into success by well-qualified professionals" with clarity for students and teachers. (Timpane, 1998)

Within every school or classroom, there is always a tension between creating a flexible and responsive community of individual learners and adhering to focused, validated, objective standards determined by outside professional sources. (Chaskin, 2005) But even though standards cannot nor should not be rigidly applied, having a research-based blueprint for how a district should operate is key to ensure that the "ideology of associational action and local democracy…. [read more]

Math Resource Critiques Essay

… Mathematics: A Critique of Two Products

Jump Math


Jump Math refers to an educational resource primarily to be harnessed by teachers which covers the curriculum needed for students from grades one to eight. It uses a pedagogical method referred to as "guided discovery" or "micro-investigation" which supports the student making small discoveries or steps, learning basic concepts one at a time which they can then build on. "Students learn and understand mathematical concepts by answering questions and working independently to challenges, while being strictly controlled by the teacher and receiving support at all times" ( Essentially the method believes in the balance of the student engaging in exploration, with assessment and evaluation: discovery is safe because the teacher is always there to help aid…. [read more]

State Standards in K-5 Elementary Education Research Paper

… Students are aware of each grade's expectations as they attempt to enhance their knowledge and skills. The presences of first grade, second grade, and kindergarten standards are illustrations showing that the principles are determinant in the group of grades.

Have they done this for individual subjects such as science, geography, language arts, and mathematics?

The state standards for New Mexico and Pennsylvania clearly outline the requirements for specific or individual subjects. Geography, language arts, mathematic, health education, and science have specific expectations, which students must possess and demonstrate as they climb the academic ladder. Parents, teachers, and students adapt relatively to the formulated standards defining each subject. In order to prepare the students fully for college and future work expectations, it is crucial to adhere…. [read more]

Pedagogic Model: Teaching Technology in Special Education Dissertation

… " (Dougiamas, 1998) Such trivial constructivism, though, is the bedrock from which Glaserfelds more radical constructivism springs. He continues to state that because knowledge is constructed by the learner, and because no two learners are the same, knowledge itself is not absolute. There is a degree to which knowledge is an illusion, and every individual constructs their own conception of reality which (while susceptible to the demands of "real" or normal reality) does not necessarily align with the normal paradigm. Constructivism does embrace this relativistic and existential approach to reality, but it also holds as a primary value the idea of constraint which enables the thinkers to participate in social interaction and mainstream reality. (Glasersfeld)

One interesting area of constructionist theory is…. [read more]

Institutionalization of No Child Left Behind Policy Thesis

… Education - NCLB Policy


One of the more controversial contemporary educational concepts is the implementation, in 2002, of the No Child Left Behind (NCLB)Act under the Bush administration. The principal elements of NCLB require nationwide compliance with federally-monitored progress evaluations of reading, writing, and elementary mathematics proficiency. The objective of NCLB is to ensure high rates of basic literacy for as many students as possible.

Critics of the NCLB approach argue that NCLB neglects the needs of students already achieving satisfactorily in reading, writing, and mathematics; it ignores the needs of superior student virtually completely; and it focuses so much on standardized test scores that any increase it achieves actually comes at the expense of genuine learning.

The NCLB…. [read more]

Multi Cultural Issues in Deaf Education Term Paper

… Multi-Cultural Issues in Deaf Education

Review of Multicultural Issues in Deaf Education

The United States has long ceased being a "melting pot" and has emerged in the 21st century as more of a "salad bowl" that is characterized by increasing multiculturalism in society and the nation's classrooms. In this changing environment, understanding how deaf students from different cultural backgrounds might experience the educational process has assumed new relevance and importance. Indeed, as Marschark and Spencer emphasize, "A history of the education of deaf persons is by its very nature a study of societal and cultural change" (p. 9). To this end, this paper provides a critical review of the peer-reviewed and scholarly literature to identify relevant multicultural issues involved in the education of deaf children…. [read more]

Statistical Education Trains Students Term Paper

… Learning statistics means learning to communicate using the statistical language, solving statistical problems, drawing conclusions, and supporting conclusions by explaining the reasoning behind them.

There are often different ways to solve a statistical problem.

People may come to different conclusions based on the same data if they have different assumptions and use different methods of analysis.

Once teachers have described their goals for students in statistics classes, they must address the issue of how students can learn these ideas and change their pre-existing beliefs about statistics. Many college-level statistics classes involve listening to lectures and completing assignments in textbooks. However, many teachers are concerned that these activities do not help achieve the goals for their students.

Many researchers have indicated that students are not learning…. [read more]

Teaching Reflective Commentary Portfolio Research Paper

… Teaching Reflective Commentary Portfolio

Mathematics is an area of education not often sought after by those teachers interested in true education. The subjects typically seem dry and students rarely take the courses seriously. In the field of accounting, however, there has been a much larger deficiency in properly educating students. As stated by Rob Gray (2006), in his article,

There is evidence that accounting education fails to develop students' intellectual and, relatedly, ethical maturity. This, it can be argued, may be seen as a moral failure on the part of accounting educators. This, it can be argued, may be seen as a moral failure on the part of accounting educators. The content of much of what currently passes for core accounting knowledge has characteristics which…. [read more]

At-Risk Students in Higher Research Paper

… (3) Involvement has both quantitative and qualitative features.

(4) The amount of student learning and personal development associated with any educational program is directly proportionate to the quality and quantity of student involvement in that program.

(5) The effectiveness of any educational policy or practice is directly related to the capacity of that policy or practice to increase student involvement. (Astin, 1984, p. 519)

Student involvement is stated to be a theory that places more emphasis on "the behavioral mechanisms or processes that facilitate student development" or the "how of student development." (Astin, 1984, p.520)

III. Theory of Identity Development

Chickerling's Theory of Identity Development is one of the most well-known psychosocial development theories and includes the students' development of competence, which is focused on…. [read more]

Teacher Education in Nigeria Term Paper

… Thus, private donations and federal support in the form of research grants are of utmost importance. At the same time, the public is demanding that tuition costs be reduced and that higher education provide better services for the cost ADDIN ENRfu (Matthews, 1999).

Both countries are experiencing teacher shortages. In Nigeria, this is blamed on the lack of focus on teaching for Nigeria. In the United States, there is an aggregate over-supply of elementary teachers in most states, but a shortage of special education teachers and teachers in the sciences and mathematics. Urban areas with rapid population growth face shortages (Laitsch, 2001).

U.S Problems and Solutions

Teacher education in the U.S. is also in a difficult position (LPA, 2003). After many years of reform and…. [read more]

Special Education Teacher's Impressions of High Stakes Term Paper

… Special Education Teacher's Impressions Of High Stakes Testing And How That May Impact Preparing Their Students To Take Those Tests



This objective of this work is to understand how special education teachers' attitudes, preparation, background and so forth may be contributing to the low scores of special education students as mandated by the NCLB. The focus in on LD and BD students who have to take the regular exams not the small percentage of special education students who qualify for alternative assessments. The topic involves the conundrum of the current climate of data driven decision making (because of NCLB) and its impact on special education…. [read more]

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