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Articles 1 - 12 of 12
Full-Text Articles in Physical Sciences and Mathematics
Sampling And Interpolation On Some Nilpotent Lie Groups, Vignon Oussa
Sampling And Interpolation On Some Nilpotent Lie Groups, Vignon Oussa
Mathematics Faculty Publications
No abstract provided.
Identifying An M-Ary Partition Identity Through An M-Ary Tree, Timothy B. Flower, Shannon R. Lockard
Identifying An M-Ary Partition Identity Through An M-Ary Tree, Timothy B. Flower, Shannon R. Lockard
Mathematics Faculty Publications
The Calkin-Wilf tree is well-known as one way to enumerate the rationals, but also may be used to count hyperbinary partitions of an integer, h2(n). We present an m-ary tree which is a generalization of the Calkin-Wilf tree and show how it may be used to count the hyper m-ary partitions of an integer, hm(n). We then use properties of the m-ary tree to prove an identity relating values of h2 to values of hm, showing that one sequence is a subsequence of the other. Finally, …
Unit Origami: Star-Building On Deltahedra, Heidi Burgiel
Unit Origami: Star-Building On Deltahedra, Heidi Burgiel
Mathematics Faculty Publications
This workshop provides instructions for folding the star-building unit – a modification of the Sonobe module for unit origami. Geometric questions naturally arise during this process, ranging in difficulty from middle school to graduate levels. Participants will learn to fold and assemble star-building units, then explore the structure of the eight strictly convex deltahedra.
Pythagorean Triples Challenge, Thomas Moore
Pythagorean Triples Challenge, Thomas Moore
Mathematics Faculty Publications
No abstract provided.
Two Notes On Certain Relationships Among Triangular Numbers, Thomas Moore
Two Notes On Certain Relationships Among Triangular Numbers, Thomas Moore
Mathematics Faculty Publications
No abstract provided.
Some Observations On Oblong Numbers, Thomas Moore
Some Observations On Oblong Numbers, Thomas Moore
Mathematics Faculty Publications
No abstract provided.
An Investigation Relating Square And Triangular Numbers, Thomas Moore
An Investigation Relating Square And Triangular Numbers, Thomas Moore
Mathematics Faculty Publications
No abstract provided.
Concatenation Of Consecutive Fibonacci And Lucas Numbers: A Lesson In Patterns Of Divisibility And Proof, Thomas Moore
Concatenation Of Consecutive Fibonacci And Lucas Numbers: A Lesson In Patterns Of Divisibility And Proof, Thomas Moore
Mathematics Faculty Publications
No abstract provided.
Reforming The Placement Of Transfer Students In Introductory Level Mathematics Courses, Irina Seceleanu, Rebecca C. Metcalf
Reforming The Placement Of Transfer Students In Introductory Level Mathematics Courses, Irina Seceleanu, Rebecca C. Metcalf
Mathematics Faculty Publications
Transfer has become a significant pathway for obtaining a bachelor’s degree from four-year institutions. As a result, higher education institutions are faced with an increasing population of transfer students with varied academic backgrounds and readiness levels. Determining the placement of transfer students in the appropriate introductory-level mathematics course presents a distinctive challenge, and has not been the focus of many studies. In response, this article offers an analysis of the difficulties associated with the placement of transfer students and of the variety of practices regarding placement across select institutions. A narrative describing the placement system for transfer students adopted at …
Sustainable Technology For Person-Centered Accessible Integrated Multimodal Information Systems, Lawrence J. Harman, Uma Shama, Heather Standring, Sabitha Gopalsamy, Anil Sadhu, Mateusz Pacha-Sucharzewski
Sustainable Technology For Person-Centered Accessible Integrated Multimodal Information Systems, Lawrence J. Harman, Uma Shama, Heather Standring, Sabitha Gopalsamy, Anil Sadhu, Mateusz Pacha-Sucharzewski
Mathematics Faculty Publications
This paper reports on a mobility management technology project conducted by the GeoGraphics Laboratory at Bridgewater State University in Bridgewater, Massachusetts, in the Northeastern United States (U.S.). This study is a part of a much larger mobility management technology deployment by the Cape Cod Regional Transit Authority (CCRTA) that deployed integrated intermodal intelligent transportation system (ITS) to support the mobility of a metropolitan region that has a high proportion of elderly residents and persons with disabilities and is a significant tourist destination for national and international travelers. This paper reports on a research project that is developing smartphone applications to …
Training The Next Generation Of Transportation Professionals In Geographic Data Collection, Spatial Analysis And Customer Information, Uma Shama, Lawrence J. Harman
Training The Next Generation Of Transportation Professionals In Geographic Data Collection, Spatial Analysis And Customer Information, Uma Shama, Lawrence J. Harman
Mathematics Faculty Publications
Applying advanced technology for transportation research and management has been the focus of Bridgewater State’s GeoGraphics Laboratory since 1994. The laboratory has attracted a broad range of students from many academic disciplines and walks of life to engage in leading edge applications of innovative hardware and software to meet the needs of our transportation systems. The GeoGraphics Lab has provided a laboratory experience for nearly two decades. Geographic technology has changed dramatically over this time. The availability of global positioning systems (GPS) on cell phones is nearly ubiquitous. The increased power and reduced cost of desktop geographic information systems (GIS) …
Making Algebra More Accessible: How Steep Can It Be For Teachers?, Diana Cheng, Polina Sabinin
Making Algebra More Accessible: How Steep Can It Be For Teachers?, Diana Cheng, Polina Sabinin
Mathematics Faculty Publications
Teacher educators need to support middle grades teachers in developing mathematical knowledge for teaching algebraic concepts. In particular, teachers should become familiar with possible introductions and sequencing to the concept of slope, and common middle school students’ limited conceptions about measuring the steepness of an incline. Steepness can be expressed directly in terms of an angle or indirectly as a slope. Encouraging middle school students to find a measure of steepness using a ratio may help support students’ transition to multiplicative thinking. This mixed – methods study explores middle school students’ responses in solving a comparison problem involving the steepness …