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Articles 151 - 174 of 174
Full-Text Articles in Education
Word Problems: Reflections On Embedding Quantitative Literacy In A Calculus Course, Gizem Karaali
Word Problems: Reflections On Embedding Quantitative Literacy In A Calculus Course, Gizem Karaali
Numeracy
Even though Quantitative Literacy (QL) programs are currently being developed and implemented in several colleges and universities, most schools still depend on traditional mathematics courses to reach their quantitative literacy goals. This note is a case study of how a traditional mathematics course sequence intended for students majoring in social and life sciences may be modified and adapted to at least partially fulfill the need in the absence of a stand-alone QL program. In particular, we focus on a freshman-level mathematics course sequence that serves various client departments. This sequence covers the traditional content of a first-year calculus sequence along …
It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel
It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel
Graduate Student Independent Studies
This work describes a professional development initiative that was based on the graduate course, Mathematics for Teachers in Diverse and Inclusive Educational Settings (K-6), taught by Linda Metnetsky at Bank Street College of Education. The author wrote and implemented this professional development initiative for teachers in her former district: a large, middle class, suburban school district outside of Philadelphia. It consisted of six full day sessions, held from October through April during the 2004-05 school year. Eleven teachers from third, fourth, and fifth grades participated, and the impact of this professional development on two participants is the focus of this …
Dynamic Web Tools For Trigonometry, Steven J. Wilson
Dynamic Web Tools For Trigonometry, Steven J. Wilson
Innovations in Math Technology
In the last 20 years, computer technology having mathematical capability has been developed, improved, and become widely available, but textbook presentations are still largely free of any discussion that might require technology. Technology could be used in mathematical instruction for student drill and practice, for instructor demonstrations that promote conceptual understanding, or for the exploration of mathematical ideas, but software is often designed to be pedagogically generic, leaving its use to the creativity of the instructor. Technological solutions for local machines can be quite extensive, but cost and time constraints then limit availability for student use. The internet has the …
Is Mathematics Created By Humans Or Is It Discovered By Humans? A Catholic Intellectual Perspective, Jason J. Molitierno
Is Mathematics Created By Humans Or Is It Discovered By Humans? A Catholic Intellectual Perspective, Jason J. Molitierno
Presidential Seminar on the Catholic Intellectual Tradition
In this essay, Dr. Molitierno intends to show that not only is it appropriate to discuss the Catholic Intellectual Tradition in light of mathematics, the CIT can actually be exemplified in mathematics!
The Art Of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, Michael E. Orrison Jr.
The Art Of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
On June 10–12, 2007, Harvey Mudd College hosted A Conference on the Art of Teaching Mathematics. The conference brought together approximately thirty mathematicians from the Claremont Colleges, Denison, DePauw, Furman, Middlebury, Penn State, Swarthmore, and Vassar to explore the topic of teaching as an art. Assuming there is an element of artistic creativity in teaching mathematics, in what ways does it surface and what should we be doing to develop this creativity?
Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.
Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
When I first started teaching, creating an exam for my upper division courses was a genuinely exciting process. The material felt fresh and relatively unexplored (at least by me), and I remember often feeling pleasantly overwhelmed with what seemed like a vast supply of intriguing and engrossing exam-ready problems. Crafting the perfect exam, one that was noticeably inviting, exceedingly fair, and unavoidably illuminating, was a real joy.
Gender Disparity In Mathematical Performance Revisited: Can Training In Problem Solving Bring Difference Between Boys And Girls?, M.A. Adeleke
Essays in Education
This study examined the problem solving performance of male and female students’ mathematical problem-solving performances using Conceptual Learning Strategy (CLS) and Procedural Learning Strategy PLS). A sample of 124 science students assigned into CLS, PLS and Conventional Method (CM) groups were involved in the study making use of pretest, post test control group design. The sample was drawn from three intact Senior Secondary School Two (SSII) classes from three local government Areas of Osun State in Nigeria and were taught for a period of eight weeks. Findings of the study showed a non significant difference in the performance of boys …
Teaching Time Savers: Is Homework Grading On Your Nerves?, Lisette G. De Pillis, Michael E. Orrison Jr.
Teaching Time Savers: Is Homework Grading On Your Nerves?, Lisette G. De Pillis, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
You have probably heard it said that we learn mathematics best when we do mathematics, or that mathematics is not a spectator sport. For most of our students, this means that their mathematics courses will involve a fair amount of homework. This homework is often used to evaluate individual student progress, but it can also be used, for example, as a catalyst for discussion, to emphasize a point made in class, and to identify common misunderstandings throughout the class as a whole. There is, however, the matter of grading homework.
Teaching Time Savers: Some Advice On Giving Advice, Michael E. Orrison Jr.
Teaching Time Savers: Some Advice On Giving Advice, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
There are always a lot of questions that need to be answered at the beginning of a course. When are office hours? What are the grading policies? How many exams will there be? Will late homework be accepted? We have all seen the answers to these sorts of questions form the bulk of a standard course syllabus, and most of us feel an obligation (and rightly so) to provide such information.
Teaching Time Savers: Style Points, Michael E. Orrison Jr.
Teaching Time Savers: Style Points, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
When I began as an assistant professor, I had a pretty good sense of how much time it would take for me to prepare for each class. After a few conversations with my new colleagues, I even had a good sense of how much time I should devote to tasks like office hours and committee work. Somewhere in the middle of grading my first exam, though, it became painfully clear that I had underestimated the amount of time I would need to grade exams!
Teaching Time Savers: A Recommendation For Recommendations, Michael E. Orrison Jr.
Teaching Time Savers: A Recommendation For Recommendations, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
I admit it — I enjoy writing recommendation letters for my students. I like
learning about their hopes and dreams, where they have been and where they want to go. A recommendation letter is an opportunity to remind myself how much my students can grow while they are in college, and how much I have grown as an instructor, advisor, and mentor.
How Have Teachers Affected The Disinterest Towards Mathematics?, Amy Brown
How Have Teachers Affected The Disinterest Towards Mathematics?, Amy Brown
Senior Honors Projects
In our school system today there is a collective disinterest and lack of enthusiasm towards mathematics as a whole. This apathy is prevalent as early as elementary school and continues through higher education. It is disheartening that so many students avoid mathematics because of their misconception that it is too difficult and has little value in their future. How well prepared are our teachers to deal with this? I began my research by looking at the past perceptions of mathematics and how the reform movement has changed this perspective. I also looked at the changing standards and how the Principles …
Looking Beyond The Curriculum In Jamaica, Jon T. Jacobsen, Michael E. Orrison Jr.
Looking Beyond The Curriculum In Jamaica, Jon T. Jacobsen, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
In August 2004, we had the opportunity to travel to Jamaica to lead a pilot workshop for Jamaican high school math teachers. The workshop focused on the importance of mathematical context in the teaching of mathematics. It was sponsored by the Gibraltar Institute, a Jamaica-based nongovernmental organization led by Trevor Campbell (Pomona College) and Reginald Nugent (Cal State Pomona), Jamaica’s College of Agriculture, Science and Education, and Harvey Mudd College.
Mathematical Magic, Arthur T. Benjamin
Mathematical Magic, Arthur T. Benjamin
All HMC Faculty Publications and Research
In this paper, we present simple strategies for performing mathematical calculations that appear magical to most audiences. Specifically, we explain how to square large numbers, memorize pi to 100 places and determine the day of the week of any given date.
Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley
Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley
Trotter Review
This case study reports on the small group interactions and achievements of Malik, an African American sixth grader, who attended a Maryland elementary school in 1997. Student achievement was measured by the Maryland Functional Mathematics Test (MFMT-I), which was given on a pre/post basis. Students' scores on the MFMT-I were analyzed using the ANOVA. The analysis revealed a significant difference (F = 3-330, p < .05) between the scores of Caucasian (M = 342.12) and African American students (M = 323-56). However, Malik's MFMT-I score rose from 293 to 353. A passing score is 340. This study examines Malik's interactions to ascertain what factors influenced his achievement. The findings are that Malik had a positive attitude about mathematics and a strong command of mathematical and scientific language. Recommendations are that teachers become cultural brokers to help all children learn the "language" of mathematics and encourage all students to become self-advocates to overcome negative social dynamics in small groups.
High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore
High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore
Trotter Review
High-stakes mathematics tests continue to gain popularity in the United States, with an increasing number of states setting the passing of such tests as a high school graduation requirement. Consequently, instruction and instructional content have changed, with teachers emphasizing materials on the test while neglecting other important aspects of learning. The tests have become all-consuming, taking over many students' lives. Yet students are often ill prepared for these tests. This is even more true for African-American students whose cultural and social circumstances make their preparation for high-stakes tests inadequate and ineffective. The author examines six such students - their hopes …
Helping At-Risk Students Add Up: Motivational Lessons For Students In High School Mathematics, Karen Beckner
Helping At-Risk Students Add Up: Motivational Lessons For Students In High School Mathematics, Karen Beckner
Mahurin Honors College Capstone Experience/Thesis Projects
No abstract provided.
Open To Reason, David L. Neuhouser
Open To Reason, David L. Neuhouser
Books by Taylor faculty, staff, and administrators
Open to Reason is a comparison of the roles of reason, experience, imagination, intuition, faith, love, humility, and obedience in mathematics and religion.
Transformational Geometry Unit, Elizabeth Ann O'Neill
Transformational Geometry Unit, Elizabeth Ann O'Neill
All Graduate Projects
The study included the development and writing of a unit on transformational geometry which involved a holistic approach including the cognitive, psychomotor, and affective domains. This unit was taught to the eighth grade class in the Oakville School District in Oakville, Washington. The results showed support that the teaching of this unit was effective.
A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton
A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton
All Master's Theses
Relatively speaking, few studies have concerned themselves with the problem of frequent testing, and as Keys pointed out, empirical evidence, uncomplicated by differences in the amount of testing material employed, on the effects of frequent testing is, at best, scarce (14:427). Also many studies used tests and test results for direct instruction, thus introducing additional variables. Furthermore, the choice of subjects and disciplines has been limited, the better part being taken from college psychology and sociology classes or high school science classes. This investigation was not an attempt to modify previous experiments, nor was it an attempt to identify which …
An Elementary Mathematics Curriculum Study To Determine If Achievement And Attitude Can Be Influenced By A Textbook Adoption, Elsie M. Railey
An Elementary Mathematics Curriculum Study To Determine If Achievement And Attitude Can Be Influenced By A Textbook Adoption, Elsie M. Railey
All Master's Theses
There is on the market a wide range of contemporary mathematics textbooks available. Textbooks approach mathematics differently and there is a variation in terms of the amount of time allocated to a topic, the development of elementary concepts and laws of arithmetic, and the amount of drill and repetition. The sequential development of the texts follows closely, but the scope and content differ significantly. Specifically, it is the purpose of this study to determine if there is a significant difference between series, as opposed to those in another mathematics series, in the variables of attitude and achievement. The two textbooks …
On The Theory Of Quaternions, Earle David Smith
On The Theory Of Quaternions, Earle David Smith
All Master's Theses
Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers.
The Spieker Circle And Certain Related Configurations, Berthola E. Lumzy
The Spieker Circle And Certain Related Configurations, Berthola E. Lumzy
Electronic Thesis and Dissertation
No abstract provided.
The Utility Of Mathematics, Jack R. Dunn
The Utility Of Mathematics, Jack R. Dunn
Electronic Thesis and Dissertation
No abstract provided.