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Mathematics Education Dissertations, 2005.
This paper describes two distinct mathematics education dissertations.
2,250 words (approx. 9.0 pages), 2 sources, $ 89.95
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Abstract
This paper explains that the field of mathematics education provides considerable support for a variety of perspectives, which include new and innovative ideas and concepts. The author points out that graduate-level mathematics students are typically required to develop and submit a comprehensive dissertation to demonstrate their knowledge and skills. The paper presents two distinct mathematics education dissertations in greater detail, emphasizing the key strengths and weaknesses of each argument and the supporting literature reviews.
From the Paper
"The field of mathematics education provides considerable support for a variety of perspectives, which include new and innovative ideas and concepts that provide valuable contributions to the subject. It is evident that today's mathematics educators provide valuable knowledge, information and skills to mathematics students of all ages, and that there is a wide body of research that exists regarding mathematics education that is critical to the field. Graduate-level mathematics students are typically required to develop and submit a comprehensive dissertation to their respective schools in order to demonstrate their knowledge and skills in order to earn a graduate degree. The following discussion evaluates two dissertations written in the field of mathematics education, promoting different concepts in unique ways. A comparison and contrast is introduced, along with an evaluation of the key strengths and weaknesses of each dissertation."
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Mathematics Education, 2005.
Examines the effectiveness of teaching mathematics at high school level.
2,250 words (approx. 9.0 pages), 10 sources, $ 89.95
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Abstract
This paper is a proposal for a study of mathematics education to determine the effectiveness of such teaching at the high school level and some of the methods used by the most effective teachers. It is assumed that their methods are variations on what they learned in teacher education altered by experience and not yet articulated as a different teaching method.
From the Paper
"Mathematics education has been analyzed from many perspectives, but there is a need for ongoing studies of the process of teaching mathematics to assure that the educational system is working and that students are learning what they need, that the field is keeping up with the changing technological and scientific requirements involving mathematics, that the teaching is preparing students for the working world into which they will one day graduate, and so on. Mathematics testing is conducted at various times over the high school career of the average student and should provide an understanding of what students are learning and so whether the teaching methods followed by instructors are effective. Where there are lapses in terms of different mathematical concepts, teachers might adjust their methods to give added attention to these areas or to shift their method so something more effective."
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Manipulatives in Mathematics Curriculum, 2006.
This paper discusses mathematics education in early education programs.
875 words (approx. 3.5 pages), 5 sources, APA, $ 31.95
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Abstract
In this article, the writer explains that manipulatives are defined as materials that are physically handled by students in order to help them see actual examples of mathematical principles at work. The writer notes that manipulatives are incorporated into curriculum with the aim of helping the student understand mathematics, rather than increasing efficiency in calculation. The writer maintains that manipulatives are very useful especially in early education. The writer notes that there is a wide array of math manipulatives on the Internet. Some may be bought while others can be enjoyed for free on the web. The writer provides examples and pictures and discusses how it would be possible to use them in teaching children.
Outline:
What are Manipulatives?
References
From the Paper
"Manipulatives are incorporated into curriculum with the aim of helping the student understand mathematics, rather than increasing efficiency in calculation. Manipulatives are very useful especially in early education. Moreover, its use is not exclusive to teachers and schools, parents who would choose to help their children with school lessons can also employ them to help their children understand math concepts. Most students dislike math because they think it is very complicated. This prejudice towards this subject result to poor performance of students in math subjects. The development of this negative mind set on the subject may have started when in their childhood. Traditional ways of teaching may have bored them and cause them to dislike the subject, which they will carry to adulthood. That is why it is important that at a young age, kids should learn to enjoy math. And the use of manipulatives can help them enjoy and appreciate it. Manipulatives come in colorful packages that attract children, their interactive design also allows children to play with them as they learn. There is a wide array of math manipulatives in the Internet."
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Teaching Mathematics, 2005.
This paper explores challenges in teaching advanced mathematics.
3,825 words (approx. 15.3 pages), 10 sources, $ 151.95
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Abstract
This paper discusses that studies have demonstrated that there are a minimum of seven specific forms of intelligence including mathematics. The author identifies the emergence of standards-based education within the United States and its significance for teaching, particularly in regards to high-school and pre-college mathematics education. The paper examines the effectiveness of selected teaching methods used by educators to help convey mathematics to their students.
From the Paper
"Advanced mathematics, specifically content at the algebraic level and beyond, creates challenges for many students. Learning strategies, modes of learning, and types of student intelligence all impact the method through which the student approaches mathematics and the extent to which they acquire and are able to apply learned information. Yet increases in national standards demand that students perform at specific levels of academic abilities before they are passed into the next grade, and an emphasis upon standards-based testing as a component of admission to college further demands specific performance levels from students. This combination of factors stresses a need to help students achieve certain goals within their academic careers in regards to advanced mathematics. In order to explore the challenges in teaching advanced mathematics to students, this paper will survey three specific components. First, this paper will explore types of intelligence."
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Math Education, 2002.
Examines the present method of math education at the high school level.
6,381 words (approx. 25.5 pages), 12 sources, MLA, $ 148.95
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Abstract
Details the current teaching and testing methodologies in high school mathematics classes. Also discusses some alternative strategies for teaching math that have been employed at the secondary school level.
Outline
Current Teaching and Testing Methodologies in High School Mathematics
Classes
Alternative Strategies for Teaching Math Employed at the Secondary
School Level
Learning Concepts and Mathematics Education
The High School Environment: Putting it all Together
Conclusion
From the Paper
"As I have stated, the perceived general needs of the high school can be seen as duo-fold: to provide an education that encourages excellence to exceptional students, and to provide an education that encourages competency to average students. Based on the size, location and level of heterogeneity at any particular school, these needs attract varying degrees of attention."
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The Effects of Art Education in Public Schools, 2002.
This paper speaks about how art education is a valuable resource in public schools that augments a child's education.
625 words (approx. 2.5 pages), 5 sources, MLA, $ 22.95
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Abstract
This paper shows how art is an important part of education that is dying in many public schools. The writer examines how budget cuts often shift priorities to basic subjects leaving children without a formal art education. The paper states that art is a valuable tool that teaches children to communicate and also augments the learning process in subjects such as mathematics and language. Many studies have found that when children are exposed to art, it has valuable effects on their learning process.
From the Paper
"When implemented in public schools, art helps raise self-confidence while creating problem solving skills and communication. Unlike math and reading, when children create art they are always successful because there is no right or wrong in art. This gives a child a sense of achievement and success, raising their academic self-confidence. Art also helps children figure out how they want to express themselves, thus building problem-solving skills. Art focuses on making your internal thoughts external images or sounds creating a superior way for children to learn to communicate effectively. When you take all of these factors and apply them to a child's education the result is obvious. Studies show that the cognitive skills and spatial reasoning that art offers are essential for math. The communication of art often helps children become more successful in language classes. When a student becomes involved in an art program, the drop out rate dramatically decreases. Art is an exciting and fun way for students to feel more successful in school."
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Philosophy of Mathematics, 2007.
An analysis of the universal nature of mathematics and developments in the philosophy of mathematics.
1,899 words (approx. 7.6 pages), 6 sources, APA, $ 60.95
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Abstract
This paper considers some of the major developments in the philosophy of mathematics regarding the capacity of mathematics to be universally valid and applicable. It presents some of the basic arguments and schools of thought of the philosophy of mathematics. The paper then analyzes whether, at its foundation, mathematics can have a legitimate claim to be universal.
Table of Contents:
The Problem Of The Ideal And The Real
Math As Logic
Math As Structure
Application And Universality
From the Paper
"This problem, Russell's paradox, proved to be an intractable problem for Frege which, after it was pointed out to him, he could not overcome. The impact upon the philosophy of math was major. An important attempt to boil math down to logical principles had proven unsuccessfully, and eventual efforts to rescue the project by Russell and others were unable to develop a logicism that showed math as both consistent and complete. Therefore math cannot be said to be universal by appeal to logic alone."
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A History of Mathematics, 2002.
This paper discusses some aspects of the history of mathematics from the earliest mathematical records to the modern era.
1,400 words (approx. 5.6 pages), 9 sources, $ 53.95
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Abstract
This paper only touches on some selected aspects of a broad and encompassing subject. The author begins by outlining some of the key developments as a whole before further subdividing into three sections: Greek mathematical developments; Chinese and Middle Eastern developments; and Western developments. The paper concludes by drawing attention to the enormous scope of the history of mathematics.
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Women and Mathematics, 2005.
This paper uses empirical data to refute the common perception that women are not as skilled at mathematics as their male counterparts.
1,350 words (approx. 5.4 pages), 5 sources, MLA, $ 45.95
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Abstract
This paper explains that gaps do exist between genders in the field of mathematics with females falling into the lower edge of the learning curve; however, the assumption that men are better equipped to solve mathematics equations points to a lack of equitable treatment for females and an unbalanced educational environment in public education. The paper points out that girls and boys with the same math SAT scores do not do equally well in college: Girls actually perform better on average. The paper stresses that, in the middle school, girls generally take more high-ability math courses and make better grades than boys; however, they hold less positive attitudes toward the subject because of their relatively high levels of performance anxiety, little confidence in their personal abilities and a tendency to attribute their success to luck rather than their own efforts and abilities.
From the Paper
"Moreover, the number of women Ph.Ds in mathematics has increased considerably over the years, according to a study conducted by Marie A. Vitulli and Mary E. Flahive. Data collected from the 1991-95 AMS-IMS-MAA Annual Surveys on initial employment of Ph.Ds in mathematics were obtained from questionnaires distributed to math departments with follow-ups to the degree recipients. In this study the researchers focused entirely on new Ph.Ds from Group I-III departments, that is, from departments of mathematics. The high response rate to the questionnaires (95%) from Group I-III departments allowed researchers to regard it as a census. The primary result of the analysis reported that women seem to be getting their share of first jobs, no more and no less."
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Achievement Gap in Education, 2005.
A discussion of the historic Brown vs. Board of Education decision and how it has failed to achieve its intended purpose.
1,803 words (approx. 7.2 pages), 5 sources, APA, $ 57.95
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Abstract
This paper argues that the Brown vs. Board of Education, a Supreme Court decision mandating the integration of public schools with the purpose of promoting equality in education, and ultimately in society, has not yet achieved this ideal. The first part of this paper details how the achievement gap between different races can be seen in all levels of education, from primary to college levels. This section also looks at how this gap can be discerned in various areas from academic subjects like mathematics to extra curricular activities like SAT preparations. The next part of the paper then looks at the reasons why this achievement gap persists. Finally, the paper looks at various programs that are geared towards narrowing this gap. Though their successes remain limited, this paper argues that programs such as these are the only long-term solution to a problem as ingrained as the achievement gap in education.
From the Paper
"The scholastic achievement gap starts as early as pre-school. Data from the U.S. Department of Labor (cited in Jacobson 2001) shows that by kindergarten and first grade, children of African American, American Indian and Latino heritage exhibit lower levels of school awareness compared to white and Asian children of the same age. These tests measure factors such as the mastery of oral language, pre-mathematics and pre-reading skills. In addition, African American, American Indian and Latino children also who lower levels of general knowledge."
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Education and Technology, 2002.
A discussion of the nature of the relationship between education and technology at elementary school level.
2,169 words (approx. 8.7 pages), 16 sources, APA, $ 67.95
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Abstract
This paper determines in what areas of primary education technology can be most profitably employed and examines how high-tech devices can best be used to educate elementary schoolchildren. It reviews several literary articles on the topic and examines the advantages of computers in science education. It concludes by stating that in light of the research, we are failing to provide the kind of scientific education that will help give to children the intellectual tools that they need to succeed in life in a culture that is each day more pervaded by science and mathematics.
From the Paper
"High-tech tools in the teaching of science may also help teachers instill a high degree of scientific literacy in their students through helping teachers avoid the tendency to present scientific information as isolated facts that must be memorized. As Lingelbach & Purcell (2000) argue, science is both most engaging and most easily learned by the young when scientific knowledge is introduced as a collection of interrelated facts. Kuykendall (1992) summarizes the case for the especial importance of multi-pronged, integrated approach to science for minority students."
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Mathematics Pedagogy, 2005.
This paper discusses of teaching mathematics.
3,825 words (approx. 15.3 pages), 13 sources, $ 151.95
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Abstract
This paper examines issues of mathematics pedagogy and the degree of the contextualization of the subject matter in teaching mathematics. The author points out that mathematics is often presented more as a more abstract examination of numbers and measurements that appear, when mathematics really is always relevant and should be seen in the context of the real world. The paper states that mathematics pedagogy needs to develop a way present mathematics within this real world context.
From the Paper
"The issue of relevance in education is often a question of the contextualization of subject matter, meaning that the subject relates to the lives of the students because it can be seen in the context of their lives, with issues understandable because they are applicable to the real world. Mathematics is often presented more as a pure Mathematics has the dual character of being both a language (a symbol system) and an underlying model of relationships among actions with objects. As such, it fits closely with the Vygotskian description of sign-sign relationships and de-contextualized knowledge. At the same time, its development in relation to human actions on objects gives it a prominent place in Piagetian analysis. Furthermore, mathematics teaching requires the recognition of mathematics as a sociocultural achievement worthy of reproduction in new generations."
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Stephan Korner's "The Philosophy of Mathematics", 2004.
Summary and review of Stephan Korner's "The Philosophy of Mathematics: An Introductory Essay".
1,091 words (approx. 4.4 pages), 2 sources, MLA, $ 38.95
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Abstract
The first part of this paper expounds on Stephan Korner's discussion, in "The Philosophy of Mathematics, of the nature of mathematics, and the three main schools of thought relating mathematics to philosophy. The paper continues with a discussion on logicism and why it provides the clearest way to look at mathematical concepts and the best way to explain mathematical philosophy.
From the Paper
"Mathematics is an indispensable science that justifies and confirms many aspects of other scientific subject matter. Mathematics relies on conclusions not assumptions and evidence is required to confirm theoretical entities as true. Of course the debates exist as to which school of thought holds the most validity. Mathematical realism will always be different to each of these philosophical schools and arguments can be found to both support and reject each school of thought."
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Aboriginal Culture and Mathematics, 2005.
A discussion regarding contemporary issues in Australian education.
1,350 words (approx. 5.4 pages), 6 sources, $ 53.95
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Abstract
This paper discusses the issues surrounding the mathematics curriculum in Australian schools. According to this paper, the needs of the Aboriginal students differ from what the Westernized education system teaches. The Australian school system fails to integrate these two cultures.
From the Paper
"For mathematics teachers working in Australia, few issues are as pressing as creating a useful curriculum that integrates the needs of Aboriginal students with the demands of a Westernized education system. Because of the sometimes-vast cultural differences that exist between Aboriginal groups, individuals, and cultures, Western education is often seen to "fail" these students, especially in mathematics. This is largely the result of the system's inability to account for the cultural differences that exist between these groups. After all, mathematics is a socially constructed discipline and should be considered within the confines of culture (Owens 2001, p. 166). While there may be some transcultural aspects to mathematics, to be truly effective mathematical pedagogy in Australia must consider the cultural differences that exist between Western schools and Aboriginal cultures."
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Language and Mathematics, 2006.
Discusses the similarities between natural human languages and mathematics.
1,350 words (approx. 5.4 pages), 3 sources, $ 53.95
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Abstract
Normally, natural human languages and mathematics are regarded as being diametrically opposed to one another. Mathematics is formal and is marked by precision; the objects of theory must be carefully defined so that the informal can be formalized. Natural human language on the other hand is flexible, and one term can denote not just multiple meanings but opposing ones as well. This paper explains that, in spite of these differences, human language and mathematics actually share common ground such as the fact that both human language and the language of mathematics actually have a precise formal structure.
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