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Some results in convex geometry
(University of Missouri--Columbia, 2016)
This thesis is divided into four parts. The first part is about proving that the unit ball of the Lorentz space is not an intersection body for dimension greater than or equal to 5 and q > 2. We go on to explain the ...
On hydrodynamic equations and their relation to kinetic theory and statistical mechanics
(University of Missouri--Columbia, 2017)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] We establish conditions on the Hamiltonian evolution of interacting molecules that imply hydrodynamic equations at the limit of infinitely many molecules ...
Professional identity and curricular construction : a study of teacher interaction with mathematics curricula of two types
(University of Missouri--Columbia, 2008)
of student investigation of mathematics in small groups. In this dual role, teachers are influenced by the norms and expectations in their textbooks. The results from this study provide insight into how these teachers identify as participants within...
Pre-service teacher professional noticing for teaching mathematics
(University of Missouri--Columbia, 2021)
Students with disabilities and/or those who have difficulty learning mathematical concepts can be found in almost every classroom. Over the last several decades, the responsibilities and roles of general and special education educators have shifted...
An extremely small and efficient identification scheme
(2000)
We present a new identification scheme which is based on Legendre symbols modulo a certain hidden prime and which is naturally suited for low power, low memory applications.
Mizzou weekly (online version), volume 36, number 08
(University of Missouri--Columbia. Division of Marketing and Publications., 2014)
The investigation of the self-efficacy of special education teachers who teach mathematics to English language learners with disabilities
(University of Missouri--Columbia, 2020)
Of the English Language Learners (ELLs) in USA K-12 schools, 665,000 are identified as having a disability. In mathematics, ELLs with disabilities have significantly lower outcomes than English dominant, and non-disabled peers. Numerous studies over...
Bounds on the tail probability of u-statistics and quadratic forms
(2011)
The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear k-correlations of n > k independent random variables.
Two paths to advanced placement calculus : an examination of secondary students' mathematical understanding emerging from integrated and single-subject curricula
(University of Missouri--Columbia, 2008)
This study examined high school students' mathematical understanding of calculus readiness concepts after studying four years of college preparatory (integrated or single-subject) mathematics. Data were collected from 505 students, 201 experienced...
Mathematics textbooks and state curriculum standards : an analysis of the alignment between the written and intended curricula
(University of Missouri--Columbia, 2007)
This study documented the alignment between state curriculum standards and the treatment of fraction concepts and computation in popular elementary and middle grades mathematics textbooks. Grade-level Learning Expectations (GLEs) from the five most...
The mathematics of urban planning
(University of Missouri. Alumni Association, 1968)
"The question: Can computer techniques be applied to urban planning -- zoning, traffic, water and sewage disposal needs -- as a guide to orderly development?"--Page 30
A mathematical simulation of Asian options on the Tokyo Grain Exchange
(University of Missouri--Columbia, 2011)
benefit this market highly. Through mathematically simulation two Asian (averaging) rate options are compared through measures of dispersion to the Black-Scholes option and the futures market. The research proves that averaging rate options consistently...
Dynamic Geometry: GeoGebra
(2008)
This presentation discusses the benefits of using GeoGebra, a freely available “dynamic mathematics software” for learning and teaching in schools. It enables teachers to create accurate diagrams and illustrations, create interactive demonstrations...
Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles
(University of Missouri--Columbia, 2011)
The present thesis consists of two main parts. In the first part, we prove that a function defined on a closed subset of a geometrically doubling quasi-metric space which satisfies a Hölder-type condition may be extended ...
Outer products and frame coefficients /
(University of Missouri--Columbia, 2017)
In this dissertation, we will examine two distinct areas of frame theory. The first will be the area of outer products. In particular, we will examine the spanning and independence properties of the collection [see abstract ...
The vanishing of Tor_1^R(R^+,k) implies that R is regular
(2003)
Let (R,m,k) be an excellent local ring of positive prime characteristic. We show that if Tor_1^R(R^+,k) = 0 then R is regular. This improves a result of Schoutens, in which the additional hypothesis that R was an isolated ...
First year mathematics courses
(University of Missouri--Columbia, 1916)
Abstract taken from title page: "A critical study of the purpose, form, content and organization of first year mathematics work a the University of Missouri and elsewhere, with a view to finding the courses in mathematics best suited for use...
Articulated learning trajectories related to the development of algebraic thinking that follow from patterning concepts in middle grades mathematics
(University of Missouri--Columbia, 2010)
The construct of an articulated learning trajectory (ALT) was conceived of and defined to provide a lens through which to view and analyze content development in middle grades mathematics textbooks. The ALTs identified and described were used...
Nonlinear equations with natural growth terms
(University of Missouri--Columbia, 2011)
This thesis concerns the study of a class of second order quasilinear elliptic differential operators. For 1 < p < ∞, the model equation we consider is: (1) L(u) = -Δpu - σ∣u∣p-2u. Here the potential is a function (or ...
Generalized local Tb theorem and applications
(University of Missouri--Columbia, 2012)
The Tb theorem, like its predecessor, the T1 Theorem, is an L2 boundedness criterion, originally established by McIntosh and Meyer, and by David, Journé and Semmes in the context of singular integrals, but later extended ...