Mathematics Commons^™

Intersecting Families And Definability, Andrés Caicedo

Andrés E. Caicedo

No abstract provided.

A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He

Tian-Xiao He

In this paper we discuss a kind of symbolic operator method by making use of the defined Sheffer-type polynomial sequences and their generalizations, which can be used to construct many power series transformation and expansion formulas. The convergence of the expansions are also discussed.

Counting Pattern-Avoiding Permutations, Lara Pudwell

Lara K. Pudwell

No abstract provided.

Dayton Public Schools And Wright State University: Mathematics Inquiry Professional Development Program For Grades 6-12 Teachers, J. Brown, Shannon Driskell

Shannon O.S. Driskell

Brown, J. (PI) & Driskell, S. (Supporting), Ohio Department of Education, K-12 Math Professional Development, $358,798, June 2009 - June 2009.

An Improved Multi-Set Algorithm For The Dense Subset Sum Problem, Andrew Shallue

Andrew Shallue

No abstract provided.

Motivation In Secondary Mathematics: How Lesson Structure Impacts Student Engagement, Vicki Beata

Leah A. Nillas

The purpose of this research is to see how students are engaged emotionally, behaviorally, and cognitively in different types of math lessons. Shernoff, Csikszentmihalyi, Schneider, and Shernoff (2003) found that students had a higher quality of experience (mood, esteem, intensity, and motivation) when they were involved in individual or group work. This study analyzed transcriptions, observations and student work from three pre-calculus lessons, a survey about students’ engagement in different types of lessons and an open-ended survey about the researcher’s teaching style. The results of the study were that students enjoy and are more engaged in lessons that require the …

Reading Rainbow: Assessing Effectiveness In Literacy Technology, Liz Russ, Erin Meehan

Leah A. Nillas

“Children’s Television Workshop and the University of Nebraska created a program, ‘Reading Rainbow’ to promote recreational reading in early readers” (Tarnauskas, 1995). Since its creation, this literacy technology has thrilled and delighted first and second grade audiences, but little to no research has been done on the effectiveness of this program. What is the outcome of the Reading Rainbow program on students’ literacy? This research study investigated the effect of the Reading Rainbow program on literacy of 21 diverse first grade students. Data was obtained through qualitative methods including observations and focus group interviews with students, as well as interviews …

On A = Mp Heronian Triangles And V = Ma Cones, John Hawkins, David Stone

John B. Hawkins

A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.

College Algebra Applications Using Ti-84 Apps, Lisa Yocco

Lisa S. Yocco

No abstract provided.

College Algebra Applications Using Ti-84 Apps, Lisa Yocco

Lisa S. Yocco

No abstract provided.

Enrich Your Algebra Course With Apps And Ti Smart View On The Ti-84, Lisa Yocco

Lisa S. Yocco

No abstract provided.

Enrich Your Algebra Course With Apps And Ti Smart View On The Ti-84, Lisa Yocco

Lisa S. Yocco

No abstract provided.

How To Cleverly Count Pattern-Avoiding Words, Lara Pudwell

Lara K. Pudwell

No abstract provided.

Honey, I Shrunk The Dollar, Lisa Yocco, Ronald Harshbarger

Lisa S. Yocco

No abstract provided.

Mobile Instructional Laboratory Environments And Their Use In Computing Sciences, Stefan Robila, Bert Wachsmuth, Christelle Scharff, Jeffrey Popyack

Bert Wachsmuth

The term 'mobile instructional laboratory' refers to using mobile computing devices such as notebooks for transforming a classroom into a lab setting with the goal of enhancing the practical experience, interaction and understanding. A major goal in all the computing disciplines is to provide students with hands on activities that will enhance their learning of concepts and their professional experience. As such, CS and IT programs require investments in dedicated laboratories that will support applied activities for most of the courses. Unfortunately, space and other resource limitations usually do not allow for permanent creation of such labs. In parallel, current …

Programmatic Assessment Of Mathematical Content Knowledge For Teaching, Shannon Driskell, G. Keen

Shannon O.S. Driskell

Driskell, S. (Co-PI), & Keen, G. (Co-PI), WeEXCEL (West Ohio Center of Excellence for Science and Mathematics Education) Mini-Grant, $9,000 Year: 2008

Enumeration Schemes For Words Avoiding Patterns With Repeated Letters, Lara Pudwell

Lara K. Pudwell

No abstract provided.

Intrinsic Linking And Knotting Are Arbitrarily Complex, Ramin Naimi, Erica Flapan, Blake Mellor

Ramin Naimi

We show that, given any $n$ and $\alpha$, every embedding of any sufficiently large complete graph in $\mathbb{R}^3$ contains an oriented link with components $Q_1$, ..., $Q_n$ such that for every $i\not =j$, $|\lk(Q_i,Q_j)|\geq\alpha$ and $|a_2(Q_i)|\geq\alpha$, where $a_{2}(Q_i)$ denotes the second coefficient of the Conway polynomial of $Q_i$.

Highly Connected Multicoloured Subgraphs Of Multicoloured Graphs, H. Liu, R. Morris, N. Prince

Noah Prince

Suppose the edges of the complete graph on n vertices, E(Kn), are coloured using r colours; how large a k-connected subgraph are we guaranteed to find, which uses only at most s of the colours? This question is due to Bollobás, and the case s=1 was considered in Liu et al. [Highly connected monochromatic subgraphs of multicoloured graphs, J. Graph Theory, to appear]. Here we shall consider the case s is greater than or equal to 2, proving in particular that when s=2 and r+1 is a power of 2 then the answer lies between 4n/(r+1)-17kr(r+2k+1) and 4n/(r+1)+4 and that …

On KS,T-Minors In Graphs With Given Average Degree, A. V. Kostochka, N. Prince

Noah Prince

Let D(H) be the minimum d such that every graph G with average degree d has an H-minor. Myers and Thomason found good bounds on D(H) for almost all graphs H and proved that for 'balanced' H random graphs provide extremal examples and determine the extremal function. Examples of 'unbalanced graphs' are complete bipartite graphs K_s,t for a fixed s and large t. Myers proved upper bounds on D(K_s,t ) and made a conjecture on the order of magnitude of D(K_s,t ) for a fixed s and …

Padé Spline Functions, Tian-Xiao He

Tian-Xiao He

We present here the definition of Pad´e spline functions, their expressions, and the estimate of the remainders of pad´e spline expansions. Some algorithms are also given.

Characterization And Properties Of Matrices With K-Involutory Symmetries, William F. Trench

William F. Trench

No abstract provided.

Tuberculosis Screening For International Students At A Midwestern Liberal Arts College, Grace Goetzke, Victor Addona, Chad M. Topaz

Chad M. Topaz

Participants: 318 international students at Macalester College screened for latent tuberculosis infection via tuberculin skin tests (TST) from 2004-2008. Objective: To estimate positive TST probability based on countries of residency and history of BCG vaccination. Methods and Results: 52% of students had a positive TST. Logistic regression modeling shows that a positive TST is insignificantly correlated with history of BCG vaccination (p=0.910) but is significantly negatively correlated with residence in the European Union (p=0.00502) and the Middle East (p=0.00451), and positively correlated with residence in North America (p=0.00151). Conclusions: There is a significant relationship between TST result and residence in …

Thermal Roots Of Correlation-Based Complexity, Philip Fraundorf

Phil Fraundorf