[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The study of Strichartz s inequality is very important in the theory of nonlinear Shrodinger equations. The inequalities do not hold for all choice of ...

This study sought to identify the instructional strategies used by developmental mathematics instructors in Missouri's public 2-year colleges to engage students in the learning process, determine the cognitive complexity of the instructional...

The researcher conducted a quantitative study to compare mixed practice to blocked practice in mathematics. Patton's (2008) utilized focused evaluation along with Rossi, Lipsey, and Freeman's (2004) program evaluation were used as a framework...

Teacher goals are an understudied component of teacher thinking. Teacher goals uncover the composite of knowledge, beliefs, and values and direction that underlie teachers' actions. In this study five experienced secondary mathematics teachers were...

Consider a two-dimensional body of water with constant density which lies below a vacuum. The ocean bed is assumed to be impenetrable, while the boundary which separates the uid and the vacuum is assumed to be a free ...

the introduction of that theory to pure mathematics has proved to have great utility for studying four-dimensional manifolds, particularly for classifying such spaces. A foliation is a geometric space that is broken down into disjoint lower dimension spaces, each...

This survey study was designed to investigate mathematics instruction for middle school students with and at-risk for emotional and behavioral disorders (EBD). It sought to identify who is teaching mathematics to students with and at-risk for EBD...

This study documented how Grade 4 teachers plan to teach from an inquiry-based mathematics curriculum, and identified specific influences on planning. Previous studies of instructional decision-making yielded a framework for researching lesson...

This study investigated Jordanian pre-service teachers' beliefs about the learning and teaching of mathematics. One aim of the study was to identify possible explanations for why Jordanian students score much lower than many of their global...

Currently, mathematics instruction in U.S. classrooms is far from achieving equity for African American students. Establishing an equitable classroom environment that results in student learning for African Americans requires specialized teacher...

The first topic of this dissertation is concerned with the L^2 boundedness of a maximal Fourier integral operator which arises by transferring the spherical maximal operator on the sphere S^n to a Euclidean space of the ...

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 ...

Textbooks play a central role in US mathematics classrooms (Stein, Remillard, & Smith, 2007) and functions are a key topic in secondary mathematics (Carlson, Jacobs, Coe, Larsen, & Hsu, 2002). This study presents results from an analysis...

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...

). In this paper, I will review the research on number and area discrimination ability in early childhood and the influence of these nonsymbolic quantitative abilities on early symbolic mathematics proficiency. Preliminary results from a longitudinal study...

-concept, and attitude toward mathematics. The data used in this study were from Finland at the fourth grade level in the Trends in International Mathematics and Science Study (TIMSS) 2011 and the Progress in International Reading Literacy Study (PIRLS) 2011. Multiple...

. 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...

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...

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 ...

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 ...