Recent federal initiatives, most notably the No Child Left Behind (NCLB) legislation, have exerted substantial influence on state and local decision-making. One element of the educational system that has been affected ...

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 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...

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 ...

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...

. 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...

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 ...

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 ...

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 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...

[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...

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 ...

-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...

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...