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Teaching and Assessing Mathematics using Maple, 2007.
This paper describes the use of specific technological tools that assist students in the development of their mathematical skills.
19,371 words (approx. 77.5 pages), 41 sources, APA, $ 249.95
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Abstract
This extensive paper describes the use of Computer Algebra Systems (CAS) in helping students develop their mathematical skills. The research contained in this report addresses the use of CAS in the mathematics classroom. It also addresses the attitudes shared by teachers and students alike as it relates to the use of this technology. In particular, the Maple CAS system is evaluated. The author states that the purpose of this research is to take a systematic approach to the design and evaluation of the teaching, learning and assessing mathematics courses using the CAS Maple. The focus of the evaluation are first year service mathematics courses at a university. The effectiveness of different ways of incorporating Maple activities into such courses is also examined.
Table of Contents
Introduction and Statement of the Research Questions
Literature Review
How People Learn Mathematics and the Role of Technology
Review of Studies Related to the Use of Technology in the Classroom
Utilizing Computer Algebra Systems
CAS in the Classroom
Survey Papers
The Research Methodology of the Study
Conclusion
From the Paper
"The purpose of this research is to take a systematic approach to the design and evaluation of the teaching, learning and assessing mathematics courses using the CAS Maple. Of particular interest are first year service mathematics courses at RMIT University. The effectiveness of different ways of incorporating Maple activities into such courses will also be examined.
The investigation will be conducted as a research and development activity through which Maple activities are designed and evaluated in a feedback cycle and we follow an Action Research methodology. Initially, examples from the literature and relevant theories concerning mathematical understanding were sought in order to inform the development of new resources. Student's responses to the first cycle of activities in 2003 were obtained. The conclusions drawn are informing the development of resources for the next cycle. This process will continue over the course of six semesters. The research methods utilized are observations of classes, analysis of student's work, responses to specially designed test instruments, use of feedback questionnaires and structured interviews. Some use will be made of video will also be utilized to record and analyse methodology to evaluate the teaching and learning of mathematics using Maple in a computer lab."
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Teaching Mathematics at Secondary School Level, 2004.
An examination and comparison of traditional and modern methods of teaching mathematics.
2,091 words (approx. 8.4 pages), 5 sources, APA, $ 65.95
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Abstract
This paper discusses the difference between the traditional form of teaching mathematics that involves the use of traditional materials and of modern teaching channels and instruments. The effectiveness of these two methods is compared and contrasted in order to impart information and ideas on how teaching mathematics has evolved through time.
From the Paper
"One example where we can see the process of growth in a teaching task is in a mathematics class. Before, mathematics is taught in a more visual manner, ?literally? speaking, where the process involves materials such as chalk and board, and paper and pencils. Now, in the days where technology seems to be an important means of learning, teaching mathematics has gone a long way. Students now learn different things from state-of-the-art gadgets and electronics such as the computer. The classic method of teaching with chalk and board seems to be going out with time."
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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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Teaching Mathematics To Preschoolers, 2002.
Discusses some of the techniques and strategies thought most effective at teaching basic mathematical concepts to preschoolers.
1,900 words (approx. 7.6 pages), 10 sources, $ 71.95
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Abstract
This paper discusses the techniques and strategies of teaching basic mathematical concepts to preschoolers. It has been found that children can learn pre-mathematical and mathematical ideas easily if teachers use developmentally appropriate strategies. Most educators are pf the view that in preschool, mathematics classroom should employ the constructivist learning principles which allow children to think, interpret and reach their own answers.
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Teaching Mathematics in Saudi Arabia, 1993.
Research proposal for teaching math skills in Saudi Arabia to children at the same grade level, but at variable degrees of proficiency, using individualized instruction.
2,700 words (approx. 10.8 pages), 11 sources, $ 95.95
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From the Paper
"Teaching Mathematics to Elementary Children in Saudi Arabia With the Use of Individualized Instruction
Background of the Problem
While Christian Europe was slumbering through the darkness of the Middle Ages, the Middle East experienced its own renaissance of the arts and sciences, including mathematics. It is, after all, the Arabs who invented the concept of zero, along with Arabic numerals, and developed a sophisticated system of mathematics before the scientific revolution entered the European continent. This scientific outpouring did not last, however, and much of the Middle Eastern civilization that developed during the early Islamic period declined into quiescence (Nyrop, 1977)."
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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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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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Calculators and Mathematics, 2002.
Examines the role of calculators in the teaching of mathematics.
650 words (approx. 2.6 pages), 6 sources, $ 26.95
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Abstract
Focusing on public school age children, this paper argues that basic numeracy must be first taught before calculators are used in these schools. Subsequently, the introduction of calculators is essential for practical reasons of productivity and also, surprisingly, because they facilitate abstract conceptualization of mathematics.
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TESOL Teaching Material, 2005.
An analysis of two sets of teaching materials for a Teaching English to Speakers of Other Languages (TESOL) course.
6,306 words (approx. 25.2 pages), 8 sources, MLA, $ 147.95
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Abstract
This paper sets out to analyse two sets of exercises in teaching various aspects of English language, from grammar, to vocabulary, to communication. The two texts are "Studying Strategies Students' Book" by B Abbs and I Freebairn and "Cutting Edge Pre-Intermediate" by S Cunningham and P Moor. It looks at how each book approaches the teaching of these areas in different manners, one following a more audio-lingual based method of teaching, and the other focusing more on tasks and communication.
From the Paper
"Looking first at the extract from Studying Strategies, which includes such Audio-linguist teaching tools as drills role-plays, it is apparent that this is a method in which Kuwaiti students would feel comfortable as a result of the entirety of their education being based on rote learning. They would feel comfortable with the tight structure and teacher-led instruction that extract A offers, as the only demands made of them would be to learn and repeat. In general, Kuwaitis are excellent at mimicking languages, thus making them quite proficient in oral work, the area of language learning that they feel most comfortable. In fact, the majority of Kuwaiti students are able to hold a conversation in English quite easily, and yet their accuracy levels fall below par in comparison."
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William Rawlins?s ?Teaching as a Mode of Friendship?, 2004.
Discussion of William Rawlins's essay on teaching, entitled "Teaching as a Mode of Friendship".
1,267 words (approx. 5.1 pages), 1 source, MLA, $ 42.95
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Abstract
This paper reviews and analyzes William Rawlins's essay on teaching. The paper highlights Rawlins's theme and argues that, while his essay definitely reflects an interpretive approach to theorizing, there are also obvious flaws in his approach, which make "Teaching as a Mode of Friendship" subject to criticism from critical theorists. The paper then attempts to analyze Rawlins's essay from a post-positivist point of view and tells why this point of view does and does not work.
From the Paper
"There are almost no ways in which William Rawlins? ?Teaching as a Mode of Friendship,? does not reflect an interpretive approach to theorizing. From the outset, when Rawlins writes that ?Few things make me feel better than teaching well, and few things make me feel worse than teaching poorly,? to the last page, when he writes, ?Cultivating and sustaining the mutual trust necessary for educational friendship in the face of such historical baits and switches is a delicate, comprehensive, and ongoing challenge,? it is clear that his thoughts are the stage on which he plays out his life, all of it. Throughout the essay, Rawlins? self-referential ?investigation? of the subject of teaching as a mode of friendship can be nothing else but interpretive. Indeed, the title alone?the thought in the title alone?suggests that this is going to be an approach to the subject that is very personal, very much a vision in his own mind."
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Teaching 'The Adventures of Huckleberry Finn', 2007.
This paper discusses teaching methods and looks at the teaching of 'The Adventures of Huckleberry Finn' by Mark Twain.
3,297 words (approx. 13.2 pages), 10 sources, MLA, $ 94.95
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Abstract
In this article, the writer maintains that 'The Adventures of Huckleberry Finn' by Mark Twain stands apart from other great literature, making it a prime text for students from junior high to adulthood. The writer points out that the text forces discussion on many levels and teaching it requires in-depth looks at history, satire, humor and realism in literature. Additionally, the writer discusses that preparation for the subject requires at least some discussion of race, as it cannot be avoided when teaching 'Huckleberry Finn'. The writer notes that those who have worked with the text offer many theoretical and methodological frameworks to assist teachers in the classroom.
Outline:
Historical Perspective
Humor and Satire
Realism
Conclusion
Works Cited
From the Paper
"Fishkin argues that Huckleberry Finn remains difficult to read and teach despite its prevalence as a classic literature text in schools. This in no way means that the text is too difficult to teach or that it is not worth teaching. Rather, it is a challenge for teachers to address Huckleberry Finn in a methodical manner, incorporating tested classroom tools to explain the key elements of the text. Since satire and realism are the two prime teaching objectives of teachers who have chosen Huckleberry Finn, it is important to understand how other factors contribute to that understanding. By giving students a working knowledge of Twain's life and a historical perspective on the book's setting they will better be able to grasp the more challenging concepts surrounding satire and realism. Finally, the discussion of race must also be addressed in the discussion of Huckleberry Finn; not only does Twain's use of race in the story serve as a literary device on many occasions, but it also becomes an incredible distraction for students if it is not properly talked about before reading the book."
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The Maple Tree, 2007.
This paper examines the various types of maple trees and their products.
3,276 words (approx. 13.1 pages), 13 sources, MLA, $ 94.95
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Abstract
The paper discusses the famous maple tree species, which include the red maple, black maple, silver maple, Japanese maple and sugar maple. The paper looks at the maple tree and its two features of helicopter seeds and the syrup or sugar which is made from its sap. The paper also examines how to predict the quality of a maple season.
From the Paper
"The term maple is the common name for a family, Aceraceae, of trees and shrubs in the soapberry order, Sapindales. The Aceraceae has two genera. The first is the Acer, the maples proper and the box elder, and the second is Dipteronia. Most of the maple trees are deciduous, shedding their leaves every year at the end of the budding season; only a few have enduring leaves and are called as evergreen or semi-evergreen. The leaves of the maple tree grow opposite each other, and they grow in pairs. The leaves are commonly long-stemmed and lobed and they also have toothed margins."
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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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Mathematics In Bilingual and Bicultural Areas, 1980.
This paper analyzes the study of mathematics in bilingual and bicultural environments including cultural and teaching impact., particularly in the Mexican-American communities.: games, cooking, telling time, bookkeeping number stories.
1,575 words (approx. 6.3 pages), 10 sources, $ 55.95
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From the Paper
"The purpose of this research is to examine and analyze the uses of mathematics in bilingual/bicultural environments, with specific applications as well as in specific communities.
Because of the Supreme Court decision (1974 Lau vs. Nichols) bilingual education is now mandatory (McNichols 111-15). Mathematics is an ever present, recurring part of daily life. This provides an excellent opportunity for the inclusion of bilingual/bicultural aspects in mathematics.
Because of this decision it now becomes essential to train bilingual teachers in all academic subjects and at all academic levels, including preschool. The states of California, New Mexico, Florida, Pennsylvania, Alaska, Arizona, Illinois, New York, Maine, Connecticut, and Colorado are "working toward ... "
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