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Secondary mathematics teachers' informal inferential reasoning : the role of knowledge structures for measures of center, spread and shape
(University of Missouri--Columbia, 2017)
This study examined middle and secondary mathematics teachers' knowledge structures, informal inferential reasoning (IIR), and pedagogical content knowledge (PCK) for statistics. Using task-based clinical interviews (Goldin, 1997) and cross...
K-12 Mathematics: What Should Students Learn and When Should They Learn it?
(2007-02)
In the fall of 2006 several influential national groups (Achieve, American Statistical Association, College Board, and the National Council of Teachers of Mathematics) developed and released documents that recommended curriculum standards or focal...
Computational neural models at molecular, cellular and behavioral levels : three case studies
(University of Missouri--Columbia, 2009)
Biological findings from molecular, cellular and behavior levels can be difficult to understand functions. Computational tools and systems concepts facilitate integration of information across levels to further understanding ...
Examination of the levels of Cogitive Demand Required by Probability Tasks in Middle Grades Mathematics Textbooks
(Statistics Education Research Journal (SERJ), 2007-11)
We analyze probability content within middle grades (6, 7, and 8) mathematics
textbooks from a historical perspective. Two series, one popular and the other
alternative, from four recent eras of mathematics education ...
Average Normalisations of Elliptic Curves
(Australian Mathematical Society, 2002)
Ciet, Quisquater, and Sica have recently shown that every elliptic curve E over a finite field Fp is isomorphic to a curve y2 = x3 +ax+b
with a and b of size O(p3/4). In this paper, we show that almost all elliptic curves ...
Online video-based reflection to improve professional vision and mathematical beliefs for teaching
(University of Missouri--Columbia, 2011)
. In the study, twenty-six preservice elementary school teachers participated as part of their coursework. For six weeks, participants had reflected on video about mathematical learning and teaching in wikis. During the first three weeks, individual reflection...
Facilitating emergent bilingual's participation in mathematics : an examination of a teacher's positioning acts
(University of Missouri--Columbia, 2018)
This study examined the mathematical learning opportunities provided to Latinx emergent bilinguals (EBs) in an elementary classroom. I used positioning theory (Rom Harre & van Langenhove, 1999b) to examine the acts of one third-grade teacher, Ms...
Sequences of rank-1 projections and Gabor tight fusion frames
(University of Missouri--Columbia, 2017)
This dissertation provides new results in two areas. The first part concerns the particular properties that are inherited by a sequence of rank-1 projections from the inducing sequence of unit-norm vectors. The second part ...
Facilitating the development of elementary prospective teachers' pedagogical content knowledge : a case study of a mathematics teacher educator's actions and purposes
(University of Missouri--Columbia, 2011)
Prospective mathematics teachers (PTs) need to develop pedagogical content knowledge (PCK) to improve the teaching and learning of mathematics. Therefore, mathematics teacher educators (MTEs) need to help PTs develop PCK (Marks, 1990; Mason, 2008...
Mathematics reform in a midwestern district : a case study of mathematics curriculum change
(University of Missouri--Columbia, 2011)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This case study analyzed participant interview data regarding teachers' perceptions of district and building level support during the implementation of a new mathematics...
The effects of animated agents with verbal audio on mathematics comprehension and attitudes towards mathematics and computers
(University of Missouri--Columbia, 2005)
This doctoral study investigated the effect of animated agents with verbal audio in WBI on mathematics achievement and attitudes toward mathematics and computers using a pretest-posttest control group design model among eighty-one college students...
Generating sequences of valuations and applications
(University of Missouri--Columbia, 2014)
Radiation conditions and integral representations for Clifford algebra-valued null solutions of the iterated perturbed Dirac operator
(University of Missouri--Columbia, 2017)
in optical diffraction theory and radio wave propagation. This decay condition, which has become known as Sommerfeld's radiation condition, has been subsequently adapted to various other operators of interest in mathematics, engineering, and physics. Examples...
Intended Mathematics Curriculum as Represented in State-Level Curriculum Standards: Consensus or Confusion?
(2006-04)
-level mathematics curriculum
specification in the U.S. and highlights a general lack of consensus across states. As
states continue to work to improve learning opportunities for all students, we hope this
report will serve as a useful summary to inform future...
On the norm of an idempotent Schur multiplier on the Schatten class
(American Mathematical Society, 2004)
We show that if the norm of an idempotent Schur multiplier on the Schatten class Sp lies sufficiently close to 1, then it is necessarily equal to 1. We also give a simple characterization of those idempotent Schur multipliers ...
A sublinear version of the Schur test and weighted norm inequalities /
(University of Missouri--Columbia, 2017)
In this dissertation, we provide results which characterize when a class of partial differential equations can be solved. These partial differential equations arise in the study of the Porous Media Equation, which can model ...
On the Euler characteristics of certain moduli spaces of 1-dimensional subschemes
(University of Missouri--Columbia, 2017)
Generalizing the ideas in [LQ] and using virtual Hodge polynomials as well as torus actions, we compute the Euler characteristics of some moduli spaces of 1-dimensional closed subschemes when the ambient smooth projective ...
Learning to notice and teach English language learners in the elementary mathematics classroom : a case of four teachers
(University of Missouri--Columbia, 2012)
, instruction, and assessment practices to facilitate the participation of Latino English language learners. In this intervention study third grade students filmed their mathematics classrooms using head-mounted video cameras. The teachers watched video segments...
Erdős distance problem in the hyperbolic half-plane
(University of Missouri--Columbia, 2009)
The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ...
Approximate isometries and distortion energy functionals
(University of Missouri--Columbia, 2009)
A fundamental problem in Riemannian Geometry and related areas is to determine whether two diffeomorphic compact Riemannian manifolds (M, [subscript g][subscript M]) and (N, [subscript g][subscript N]) are isometric; that ...