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Geometric and nonlinear limit theorems in probability theory
(University of Missouri--Columbia, 2012)
The concentration of measure phenomenon is a nonlinear equivalent of the law of large numbers that deals with real valued Lipschitz functions and includes linear functionals such as the sample mean. In the first part of ...
Coefficient theorems of Birancon-Skoda type
(University of Missouri--Columbia, 2011)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original Briancon-Skoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized ...
The development of pedagogical content knowledge of a mathematics teaching intern: the role of collaboration, curriculum, and classroom context
(University of Missouri--Columbia, 2005)
In this study I examined the role of collaboration, curriculum, and the classroom context in the development of pedagogical content knowledge of a mathematics teaching intern. Additionally, I investigated the nature of the collaborative process...
The Application of a Simple Method for the Verification of Weather Forecasts and Seasonal Variations in Forecast Accuracy
(American Meteorological Society, 2002-08)
) National Weather Service (NWS) Office for mid-Missouri over a period of 416 days with the goal of demonstrating the utility of this method. Zone forecasts were chosen because these forecasts are typically what the public will receive either directly...
Some unusual identities for special values of the Riemann zeta function
(2001)
In this paper, we use elementary methods to derive some new identities for special values of the Riemann zeta function.
Beyond learning (in)opportunities in mathematics education : advocating and curating in a rural school community
(University of Missouri--Columbia, 2023)
Despite egalitarian ideals, schools and school mathematics play an integral role in the stratification of individuals, determining which individuals will occupy which positions in society and justifying the distance between those positions. To learn...
Examining the Relationship between High School Mathematics Preparation and College Attendance
(2022)
This non-experimental, quantitative study investigated the association between the number of high school mathematics credits earned and college attendance. Specifically, this study examined the relationship for graduates of Kansas City Missouri...
On the dimension of the Jacquet module of a certain induced representation
(2001)
The Fourier coefficients of certain metaplectic Eisenstein series contain L-series of arithmetic interest. This fact has been repeatedly exploited by various authors in order to obtain analytic information about these ...
Inequalities of correlation type for symmetric stable random vectors
(2011)
We point out a certain class of functions f and g for which random variables f(X1,...,Xm) and g(Xm+1,...,Xk) are non-negatively correlated for any symmetric jointly stable random variables Xi. We also show another result ...
Stability and instability results for the 2D [alpha]-Euler equations /
(University of Missouri--Columbia, 2017)
We study stability and instability of time independent solutions of the two dimensional a-Euler equations and Euler equations; the a-Euler equations are obtained by replacing the nonlinear term (u [times] [del.])u in the ...
Mizzou weekly, volume 26, number 06 (September 30, 2004)
(University of Missouri--Columbia. University Affairs. Publications and Alumni Communication., 2004)
Teacher collaboration and student learning : a multilevel structural equation modeling analysis
(University of Missouri--Columbia, 2010)
The purpose of this study is to examine a model of relationship among teachers' workloads and assignments, teacher collaboration, student motivation, school bonding, and student achievement. This study analyzed Trends in International Mathematics...
Examining elementary mathematics teachers' justification practices
(University of Missouri--Columbia, 2019)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This study examined the relationship between elementary teachers' attitudes, beliefs, knowledge, Elementary Mathematics Specialist (EMS) status, and students' opportunities...
Teacher opportunities to learn: responses and recommendations of grades 6-12 mathematics teachers from one district
(University of Missouri--Columbia, 2009)
This is a case study of one district, examining secondary mathematics teachers' perceptions of professional learning and teacher professional development. Research questions include: a) Why did the teachers from this district want to learn...
A comparison of the NWEA measures of academic progress and the Missouri Assessment Program
(University of Missouri--Columbia, 2008)
MAP assessment. Subtest Rasch unit (RIT) scores of the NWEA MAP, as well as the overall RIT scores of the mathematics, language usage, and reading tests were compared with mathematics and communication arts assessments of the MO MAP. Bivariate...
On the periodicity of the first Betti number of the semigroup ring under translations
(University of Missouri--Columbia, 2010)
eventually with period a+b+c.4) Let X*=(a,b,p(a+b)) or X*=(p(b+c),b,c). If the first Betti number of P* is 3 then (a+b+c) divides j+1.--From public.pdf....
Optimality explanations : a new approach
(University of Missouri--Columbia, 2012)
approach, which claims that explanation is a matter of citing the causes that led to the event to be explained. Recently, however, considering cases in which scientists provide explanations with highly idealized mathematical models has complicated the issue...
Using common formative assessments to promote student achievement : a case study of practice, leadership, and culture
(University of Missouri--Columbia, 2012)
the instructional staff at this upper elementary school. Evidence indicated the use of common formative assessments in this school did contribute to sustained mathematics achievement. Three major themes emerged: The focus and alignment of curriculum, instruction...
Developing secondary students' understanding of the generality and purpose of proof
(University of Missouri--Columbia, 2018)
In spite of their fundamental role in mathematics, prior studies have found that high school students struggle to develop conceptual understanding of proof, and in particular, understand the generality requirement for proofs. Using design research...
An examination of the relationship between teacher characteristics, socioeconomic factors and statewide test performance of students with individual education plans
(University of Missouri--Columbia, 2006)
the performance of students with and without IEPs on the MAP mathematics examinations, socioeconomic factors, and teacher characteristics. Findings indicated that teachers' average years of experience and mean household income failed to demonstrate a significant...