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Full-Text Articles in Physical Sciences and Mathematics

A Case Study Of How Ninth Grade Mathematics Students Construct Knowledge During A Productive Failure Model, Amy F. Westbrook Dr. Oct 2014

A Case Study Of How Ninth Grade Mathematics Students Construct Knowledge During A Productive Failure Model, Amy F. Westbrook Dr.

Georgia Educational Research Association Conference

The purpose of this qualitative study was to explain how ninth grade mathematics students at a rural high school in Georgia constructed knowledge through student talk when problem solving using Kapur’s (2012) productive failure design. An embedded case study design was used to understand how a group of students constructed knowledge through their use of talk, persistence during the task, and use of prior knowledge while working on a productive failure modeled task. Triangulation resulted from the collected data from multiple sources, which included videotaping, interviewing, and analyzing student artifacts. Utilization of the constructivist perspectives of Vygotsky (1934/1962), Piaget (1971), …


Spatiotemporal Crime Analysis, James Q. Tay, Abish Malik, Sherry Towers, David Ebert Aug 2014

Spatiotemporal Crime Analysis, James Q. Tay, Abish Malik, Sherry Towers, David Ebert

The Summer Undergraduate Research Fellowship (SURF) Symposium

There has been a rise in the use of visual analytic techniques to create interactive predictive environments in a range of different applications. These tools help the user sift through massive amounts of data, presenting most useful results in a visual context and enabling the person to rapidly form proactive strategies. In this paper, we present one such visual analytic environment that uses historical crime data to predict future occurrences of crimes, both geographically and temporally. Due to the complexity of this analysis, it is necessary to find an appropriate statistical method for correlative analysis of spatiotemporal data, as well …


The Effects Of The Melting Arctic Ice Cap On Florida's Coast, Anthony Atkinson, Nicholas Joseph, Louw Scheepers May 2014

The Effects Of The Melting Arctic Ice Cap On Florida's Coast, Anthony Atkinson, Nicholas Joseph, Louw Scheepers

CLAS: Colby Liberal Arts Symposium

We've set out to determine the effect of arctic ice melt on the coastline of Florida, more specifically its major cities and tourist attractions. To do this, we created multiple mathematical models on different bases to ensure that our models are behaving in an appropriate manner. We constructed one statistical model based on past sea level rise data, and one theoretical model based on our interpretations of different components that add to the total sea level rise. Our data and analysis showed firm indications of extreme effects on the coastline of Florida and some of its major tourist attractions by …


Modeling The Optimization Of A Toll Booth Plaza, Liam Connell, Zachary Schutzman, Erin Hoover May 2014

Modeling The Optimization Of A Toll Booth Plaza, Liam Connell, Zachary Schutzman, Erin Hoover

CLAS: Colby Liberal Arts Symposium

When designing a toll plaza, many factors have to be considered, especially the number of toll booths to build. In this paper, we try to determine the optimal number of toll booths by creating a model for car movement at a toll plaza. We define optimal as the number of toll booths that minimizes the waiting time, particularly at a high congestion time (i.e. rush hour). To model the movement of cars through a toll booth plaza, we break the problem into two parts: time spent waiting in line and then time spent merging back into traffic. Because each of …


Mathematical Analysis Of A Nim-Like Matrix Game, Edward Chuang, Stephen Morse May 2014

Mathematical Analysis Of A Nim-Like Matrix Game, Edward Chuang, Stephen Morse

CLAS: Colby Liberal Arts Symposium

This poster presentation covers our research on a mathematical game that is somewhat similar to the popular game Nim. In this game, Players play a variation of Nim where the number of piles must be a perfect square and where the piles are actually situated within a matrix. In addition, players are only allowed to subtract one from an entry on their turn, where as in Nim there are typically more options. The game is over either when a player does not have a move to make (because all entries have been reduced to zero) or the when the game …


The Highway Game: Optimizing The Number Of Tollbooths, Meaghan Lewia, Tara Chizinski, Megan Lasher May 2014

The Highway Game: Optimizing The Number Of Tollbooths, Meaghan Lewia, Tara Chizinski, Megan Lasher

CLAS: Colby Liberal Arts Symposium

One of the biggest woes of highway drivers is the amount of tolls along the road that require each vehicle to not only slow down significantly, but also pay sometimes up to -8 to the State. This inconvenience is protested on various levels, but since its clear that the government must institute some type of toll system, we have decided to find a model that will at least optimize the time for each driver while still saving the State as much money as possible. Our report constructs a model of the ideal amount of tollbooths for any number of highway …


Bayes, Brains & Babies: Electrophysiology And Mathematics Of Infant Holistic Processing And Selective Inhibition, Matthew Singh Apr 2014

Bayes, Brains & Babies: Electrophysiology And Mathematics Of Infant Holistic Processing And Selective Inhibition, Matthew Singh

EURēCA: Exhibition of Undergraduate Research and Creative Achievement

No abstract provided.


A Short Journey Through The Riemann Integral, Jesse Keyton Apr 2014

A Short Journey Through The Riemann Integral, Jesse Keyton

2014-2016 Undergraduate

An introductory-level theory of integration was studied, focusing primarily on the well-known Riemann integral and ending with the Lebesgue integral. An examination of the Riemann integral's basic properties and necessary conditions shows that this integral is not very strong. This conclusion leads to Lebesgue's necessary and sufficient condition for Riemann integrability, perhaps where the Riemann integral ends and the Lebesgue integral begins: a function defined on a closed integral [a, b] is Riemann integrable if and only if the function is discontinuous on a set of measure zero. The proof of this uses that the infinite union …


Arithmagons, Jose Franco Apr 2014

Arithmagons, Jose Franco

Mathematics Colloquium Series

Arithmagons are polygonal graphs whose vertices and edges are numbered by natural numbers in such a way that the product of the labels of two adjacent vertices equals the label on the edge that connects them. During the talk, Franco will briefly explore the conditions for solvability. The remainder of the talk will focus on counting the number of arithmagons that can be constructed so that the multiplication of all the values on the edges equals a fixed natural number.


Fan-Linear Maps And Fan Algebras, John Hull Apr 2014

Fan-Linear Maps And Fan Algebras, John Hull

Georgia State Undergraduate Research Conference

No abstract provided.


Dynamics Of Traveling Waves In Neural Networks In Presence Of Period Inhomogeneities, Rosahn Bhattarai Apr 2014

Dynamics Of Traveling Waves In Neural Networks In Presence Of Period Inhomogeneities, Rosahn Bhattarai

Georgia State Undergraduate Research Conference

No abstract provided.


What Makes A ‘Good’ Definition: Analyzing Students’ Conceptions Of Mathematical Definitions And The Pedagogy Of Definitions In Math Education, Jesse Aston Mar 2014

What Makes A ‘Good’ Definition: Analyzing Students’ Conceptions Of Mathematical Definitions And The Pedagogy Of Definitions In Math Education, Jesse Aston

Seaver College Research And Scholarly Achievement Symposium

What are the key differences between how students view mathematical definitions and how their professors think they do? In this study we follow students during a guided reconstruction exercise in which they create a definition for, in this case, the convergence of a sequence and we record the process on film. Several theoretical frameworks including RME are then used to analyze student responses and behavior throughout the process and determine the difference in perceptions between student and teacher; these differences inform the best method to present definitions to students.


Session B-2: Build Student Engagement, Mental Math, And Reasoning With "Math Talks", Sendhil Revuluri Feb 2014

Session B-2: Build Student Engagement, Mental Math, And Reasoning With "Math Talks", Sendhil Revuluri

Professional Learning Day

"Math talks" are quick routines that you can implement in your classroom within days. They can raise engagement, build efficient, accurate, and flexible mental math strategies, and help students construct arguments and critique reasoning. We will engage in math talks, analyzing how they can be enacted in the classroom and designed for specific goals or respond to specific misconceptions. Participants will learn about math talks that support understanding of number, algebra, and other domains.


Session B-1: Geometry In Art & Architecture, Julie Dowling Feb 2014

Session B-1: Geometry In Art & Architecture, Julie Dowling

Professional Learning Day

Math is all around us! Discover how to implement geometry lessons using art and architecture that the students see around them every day.


Session A-2: Cycloids!, Ruth Dover Feb 2014

Session A-2: Cycloids!, Ruth Dover

Professional Learning Day

This session includes a hands-on exploration to see graphs of different types of cycloids. Participants will use trigonometry to create the parametric equations for the graphs. This topic lends itself nicely to projects for pre-calculus students. Software will be shown to help see more examples and patterns.


02. Animal Science, University Of Central Oklahoma Jan 2014

02. Animal Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


06. Computer Science, University Of Central Oklahoma Jan 2014

06. Computer Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


04. Botany, University Of Central Oklahoma Jan 2014

04. Botany, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


07. Criminal Justice, University Of Central Oklahoma Jan 2014

07. Criminal Justice, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


09. Environmental Science, University Of Central Oklahoma Jan 2014

09. Environmental Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


11. Genetics, University Of Central Oklahoma Jan 2014

11. Genetics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


12. Kinesiology, University Of Central Oklahoma Jan 2014

12. Kinesiology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


08. Engineering, University Of Central Oklahoma Jan 2014

08. Engineering, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


10. Forensic Science, University Of Central Oklahoma Jan 2014

10. Forensic Science, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


05. Chemistry, University Of Central Oklahoma Jan 2014

05. Chemistry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


14. Optometry, University Of Central Oklahoma Jan 2014

14. Optometry, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


15. Pharmacy, University Of Central Oklahoma Jan 2014

15. Pharmacy, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


18. Statistics, University Of Central Oklahoma Jan 2014

18. Statistics, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


17. Psychology, University Of Central Oklahoma Jan 2014

17. Psychology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.


19. Zoology, University Of Central Oklahoma Jan 2014

19. Zoology, University Of Central Oklahoma

Oklahoma Research Day Abstracts

No abstract provided.