Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Keyword
-
- Correlation (2)
- Kendall (2)
- Rank statistics (2)
- 3-manifolds (1)
- Absolute value (1)
-
- Autism Spectrum Disorder (1)
- Autism Spectrum Quotient (1)
- Calculus (1)
- Chromatic number (1)
- Classical regression (1)
- Combinatorics (1)
- Computer (1)
- Confidence intervals; Hypothesis testing; Robust estimates; Simple linear regression (1)
- Correlation coefficient (1)
- Covariation (1)
- Density parameter estimation (1)
- Department history (1)
- Eating Disorder (1)
- Eating Disorder Examination Questionnaire (1)
- Geometric topology (1)
- Gini (1)
- Girth (1)
- Graph theory; extremal numbers; hypergraphs (1)
- Greatest Deviation (1)
- Greatest deviation correlation coefficient (1)
- HIERARCHICAL (1)
- Hydrology (1)
- Hyperbolic geometry (1)
- Kalman Filter (1)
- Knapsack (1)
- Publication Year
- Publication
- Publication Type
Articles 391 - 420 of 426
Full-Text Articles in Mathematics
Editorial: Globalization, History, Technology And Mathematics Education, Bharath Sriraman
Editorial: Globalization, History, Technology And Mathematics Education, Bharath Sriraman
The Mathematics Enthusiast
No abstract provided.
Algebraic Insight Underpins The Use Of Cas For Modelling, Robyn Pierce
Algebraic Insight Underpins The Use Of Cas For Modelling, Robyn Pierce
The Mathematics Enthusiast
Computer Algebra Systems (CAS) performs algorithmic processes quickly and correctly. Concern is commonly expressed that students using CAS will merely be pushing buttons but this paper indicates that, while CAS may assist students, this facility impacts on only one section of the mathematical modeling process: CAS may be used to help find mathematical solutions to mathematically formulated problems. Controlling and monitoring the use of CAS to perform the necessary routine processes requires the mathematical thinking referred to as algebraic insight. This paper sets out a framework of the aspects, and elements of algebraic insight and illustrates the importance of students …
Von Neumann And Computers, Steve Humble
Von Neumann And Computers, Steve Humble
The Mathematics Enthusiast
The title of this paper should not be Von Neumann and computers, but Von Neumann and the Von Neumann machine. Von Neumann may be famous for many things but humility was not one of them. Yet no one had anything bad to say about 'good time' Johnny Von Neumann; he just was too likeable. He gave massive parties and loved women, fast cars, jokes, noise, Mexican food, fine wine, and, most of all, mathematics. 'Unbelievable', said one of Von Neumann's old friends, 'He knew how to have a good time. His parties were once if not twice a week at …
Problem Solving And Problem Posing In A Dynamic Geometry Environment, Constantinos Christou, Nicholas Mousoulides, Marios Pittalis, Demetra Pitta-Pantazi
Problem Solving And Problem Posing In A Dynamic Geometry Environment, Constantinos Christou, Nicholas Mousoulides, Marios Pittalis, Demetra Pitta-Pantazi
The Mathematics Enthusiast
In this study, we considered dynamic geometry software (DGS) as the tool that mediates students’ strategies in solving and posing problems. The purpose of the present study was twofold. First, to understand the way in which students can solve problems in the setting of a dynamic geometry environment, and second, to investigate how DGS provides opportunities for posing new problems. Two mathematical problems were presented to six pre-service teachers with prior experience in dynamic geometry. Each student participated in two interview sessions which were video recorded. The results of the study showed that DGS, as a mediation tool, encouraged students …
Instrumented Techniques And Reflective Thinking In Analytic Geometry, Nurit Zehavi, Giora Mann
Instrumented Techniques And Reflective Thinking In Analytic Geometry, Nurit Zehavi, Giora Mann
The Mathematics Enthusiast
In a previous study that explored epistemological perspectives on solving problems with Computer Algebra Systems (CAS) we concluded that awareness of the special ways that the software utilizes symbols in algebraic manipulations and in implicit plotting should be encouraged (Zehavi, 2004). Such awareness is required for, and encouraged by treating geometry analytically with a symbolic-graphical system. In this paper we compare a traditional solution of a problem in analytic geometry with CAS-based solutions to the same problem. The discussion will focus on the role of reflective thinking, namely selection of techniques, monitoring of the solution process, insight, and conceptualization, play …
A Preface To Gutstein Generalized: A Philosophical Debate, Johnny W. Lott
A Preface To Gutstein Generalized: A Philosophical Debate, Johnny W. Lott
The Mathematics Enthusiast
The National Council of Teachers of Mathematics (NCTM) has taken a very firm stand on the issue of equity in mathematics education. Not only is equity incorporated in the Curriculum and Evaluation Standards for School Mathematics (1989) and Principles and Standards for School Mathematics (2000), equity is the first plank of NCTM’s legislative platform.
Response To Gutstein Generalized- A Philosophical Debate, Eric Gutstein
Response To Gutstein Generalized- A Philosophical Debate, Eric Gutstein
The Mathematics Enthusiast
It is a pleasure, challenge, and an honor to respond to the thoughtful and innovative debate started by Braver, Micklus, Bradley, van Spronsen, Allen, & Campbell on teaching mathematics for social justice. They take seriously the issues in, and raise many interesting views about, my article, Teaching and Learning Mathematics for Social Justice in an Urban Latino School (JRME, January, 2003). I would like to respond to (connected) two points in particular: the relationship of functional to critical literacies, and the relationship of “critical thinking” in mathematics to learning mathematics for social justice. However, I would first like to clarify …
Taxi Cab Geometry: History And Applications!, Chip Reinhardt
Taxi Cab Geometry: History And Applications!, Chip Reinhardt
The Mathematics Enthusiast
We will explore three real life situations proposed in Eugene F. Kraus e's book Taxicab Geometry. First a dispatcher for Ideal City Police Department receives a report of an accident at X = (-1,4). There are two police cars located in the area. Car C is at (2,1) and car D is at (-1,-1). Which car should be sent? Second there are three high schools in Ideal city. Roosevelt at (2,1), Franklin at ( -3,-3) and Jefferson at (-6,-1). Draw in school district boundaries so that each student in Ideal City attends the school closet to them. For the third …
Cardano's Solution To The Cubic: A Mathematical Soap Opera, Kacee Ballou
Cardano's Solution To The Cubic: A Mathematical Soap Opera, Kacee Ballou
The Mathematics Enthusiast
Through this research into the solution of the cubic, I hope to learn the thoughts of mathematicians during this period of history. This knowledge must be conveyed in a way that is historically and mathematically accurate, yet comprehensible and readily available to use in a class of eighth grade math students. It is my wish that as we begin to delve into the world of algebraic and graphical solutions to the problems in the eighth grade text, students will be able to make a connection with this information to that they are currently using to solve their problems. They should …
Editorial, Bharath Sriraman
Action: Tell Me More Albert!, Jerry T. Baty, Virginia A.H. Mcclendon
Action: Tell Me More Albert!, Jerry T. Baty, Virginia A.H. Mcclendon
The Mathematics Enthusiast
The new school year opens with the instructor cheerfully announcing to the students on the first day, “Good morning, class! Welcome to the fun of a new language called algebra”. He continues, “Today we are going to have a conversation about your success in this classroom. First, is the area of mathematics called algebra, necessary for your future?"
None of the students responds.
Gutstein Generalized- A Philosophical Debate: A Critical Commentary On Gutstein's (2003) Thesis For The Incorporation Of Social Justice In The Mathematics Curriculum, Seth Braver, Jane Micklus, Sheila Bradley, Hillary Van Spronsen, Samantha Allen, Vicki Campbell
Gutstein Generalized- A Philosophical Debate: A Critical Commentary On Gutstein's (2003) Thesis For The Incorporation Of Social Justice In The Mathematics Curriculum, Seth Braver, Jane Micklus, Sheila Bradley, Hillary Van Spronsen, Samantha Allen, Vicki Campbell
The Mathematics Enthusiast
The Scene: A Courtroom
The Year: 2004 (old style), 15 (new style - After Standards)
The Grand Inquisitor mounts the podium, and addresses the Debaters standing silently before him. A large crowd fills the hall.
Inquisitor:
Ladies and Gentlemen! You have been summoned here today to present the final arguments for and against these propositions which have so vexed our society in recent months. Each of you represents a vision of the future of mathematics education. Ere the sun sets we shall fix our resolve to one vision or the other. The victors, I doubt not, shall lead us into …
Commentary On Ballou's Paper: Galois - The Myths And The Man, Catherine Degrandpre
Commentary On Ballou's Paper: Galois - The Myths And The Man, Catherine Degrandpre
The Mathematics Enthusiast
mathematics curriculum. As seen in her paper, the solution of the cubic essentially involves the use of a clever substitution in the general cubic in order to reduce it into a cubic without the square term, which in turn is factorable as a quadratic provided one makes another substitution. A natural question to ask ourselves, which mathematicians in the colorful theory of equations undoubtedly did as well, is how far can we push this technique of cle ver substitutions to solve higher degree equations. These substitutions are called Tschirnhaus transformations and have a pattern of the form x = y …
The Nature Of Proof In Today's Classroom. Book Review Of The Nature Of Proof, Erica Lane
The Nature Of Proof In Today's Classroom. Book Review Of The Nature Of Proof, Erica Lane
The Mathematics Enthusiast
Harold Fawcett. The Nature of Proof. New York City: Bureau of Publications, Columbia University, 1938. Re-printed by the National Council of Teachers of Mathematics in 1995.
Throughout the world, children are taught new ideas and concepts in a variety of ways, and the advocates of the different approaches claim that their method is the most effective and profitable for the students. In addition to the different teaching styles, each individual learns the material in a distinct manner. Teachers, therefore, must be aware of the diverse techniques of both teaching and learning in an effort to optimize the learning experience …
Analogies And Mathematics: What Is The Connection? Book Review Of Mathematical And Analogical Reasoning Of Young Learners, Bharath Sriraman
Analogies And Mathematics: What Is The Connection? Book Review Of Mathematical And Analogical Reasoning Of Young Learners, Bharath Sriraman
The Mathematics Enthusiast
Lyn English (Ed). Mathematical and Analogical Reasoning of Young Learners. New Jersey: Lawrence Erlbaum & Associates, 2004. ISBN 0-8058-4945-9.
In the last decade and a half mathematics education literature has shown a rapid increase in books and articles that focus on the social and cultural issues related to mathematics learning and teaching. Although the social and cultural dimensions are important and relevant, the cognitive dimension of mathematical learning is equally important and received less attention. Mathematical and Analogical Reasoning of Young Learners takes us back to the very roots of learning and investigates foundational questions on the nature of …
Voronoi Diagrams, Michael Mumm
Voronoi Diagrams, Michael Mumm
The Mathematics Enthusiast
Suppose we have a finite number of distinct points in the plane. We refer to these points as sites. We wish to partition the plane into disjoint regions called cells, each of which contains exactly one site, so that all other points within a cell are closer to that cell's site than to any other site.
Editorial, Bharath Sriraman
Regular Polytopes, Jonathan Comes
Regular Polytopes, Jonathan Comes
The Mathematics Enthusiast
In the last proposition of the Elements Euclid proved that there are only five regular polyhedra, namely the tetrahedron, octahedron, icosahedron, cube, and dodecahedron. To show there can be no more than five he used the fact that in a polyhedra, the sum of the interior angles of the faces which meet at each vertex must be less than 360.
The Morley Trisector Theorem, Grant Swicegood
The Morley Trisector Theorem, Grant Swicegood
The Mathematics Enthusiast
This paper deals with an unannounced theorem by Frank Morley that he originally published amid a collection of other, more general, theorems. Having intrigued mathematicians for the past century, it is now simply referred to as Morley’s trisector theorem:
The three intersections of the angles of a triangle, lying near the three sides respectively, form an equilateral triangle.
Teaching Symmetry In The Elementary Curriculum, Christy Knuchel
Teaching Symmetry In The Elementary Curriculum, Christy Knuchel
The Mathematics Enthusiast
Symmetry is a fundamental part of geometry, nature, and shapes. It creates patterns that help us organize our world conceptually. We see symmetry every day but often don’t realize it. People use concepts of symmetry, including translations, rotations, reflections, and tessellations as part of their careers. Examples of careers that incorporate these ideas are artists, craftspeople, musicians, choreographers, and not to mention, mathematicians.
It is important for students to grasp the concepts of geometry and symmetry while at the elementary level as a means of exposing them to things they see everyday that aren’t obviously related to mathematics but have …
Radius, Diameter, Circumference, Pi, Geometer's Sketchpad, And You!, Scott Edge
Radius, Diameter, Circumference, Pi, Geometer's Sketchpad, And You!, Scott Edge
The Mathematics Enthusiast
I truly believe learning mathematics can be a fun experience for children of all ages. It is up to us, the teachers, to present math as an interesting application. The addition of computers into our ever-changing world has given us an important tool, which can assist us on our journey to teach math in new fun and interesting ways. The Program Geometer’s Sketchpad© is one of many mathematic programs we as teachers can use to better help kids understand different geometric concepts. I would like to use Geometer’s Sketchpad© in my classroom to help teach my students about circles and …