Given a sequence g[subscript k] greater than 0, the "g-factorial" product [big product][superscript k] [subscript i=1] g[subscript i] is extended from integer k to real x by generalizing properties of the gamma function [Gamma](x). The Euler-Mascheroni constant [gamma] and the beta and zeta functions are also generalized. Specific examples include…

The transfer of tacit knowledge, one of the most important issues in the knowledge sharing context, needs a multi-dimensional perception in its process. Information technology's (IT) supporting role has already been addressed in the process of tacit knowledge transfer. However, IT has its own characteristics, and in turn, may have dissimilar…

Reading aloud to children is a recommended practice in early childhood and primary-grade classrooms that is purported to enhance vocabulary growth. General guidelines can be found in the literature, but practitioners often rely on conventional wisdom and their own instincts to embed vocabulary instruction into their read-alouds. This paper…

This study combined quantitative and qualitative methods in a sequential approach to investigate the experiences of parents making decisions about cochlear implants for their deaf children. Quantitative findings from a survey instrument completed by 247 parents were extended and elaborated by qualitative findings from in-depth interviews with 27…

The New York State Education Department, in partnership with the New York City Department of Education, developed a "Striving Readers project" to address the literacy needs of early adolescent struggling readers in middle school. The goal of the project was to implement and examine the impact of a one-year comprehensive supplemental…

Efforts to meet the needs of children's learning in arithmetic has led to an increased emphasis on the teaching of mental calculation strategies in England. This has included the adoption of didactical tools such as the empty number line (ENL) that was developed as part of the realistic mathematics movement in the Netherlands. It has been claimed…

The "What's the "matter" With XOD" activity addresses students' misconceptions and refines their ideas about phases of matter. This activity introduces the characteristics for solids, liquids, and gases, and begins a discussion about physical and chemical changes and how matter can cycle through different phases. Depending on class size and…

Exposure to organic chemistry concepts in the laboratory can positively affect student performance, learning new chemistry concepts and building motivation towards learning chemistry in the lecture. In this study, quantitative methods were employed to assess differences in student performance, learning, and motivation in an organic chemistry…

arrow]US associations also survived The memories of the unconditioned stimulus (US) and its absence (No US), symbolized as S[superscript R] and S[superscript N], respectively, may be retrieved on US or No US trials giving rise to four types of associations, S[superscript R][right arrow]US, S[superscript R][right arrow]No US, S[superscript N][right…

A growing movement in the United States and around the world involves promoting the advantages of conducting an eyewitness lineup in a sequential manner. We conducted a large study (N = 2,529) that included 24 comparisons of sequential versus simultaneous lineups. A liberal statistical criterion revealed only 2 significant sequential lineup…

Analysis and interpretation of behavior-environment relations are increasingly being conducted with data that have been derived descriptively. This paper provides an overview of the logic that underlies a sequential analytic approach to the analysis of descriptive data. Several methods for quantifying sequential relations are reviewed along with…

This article describes a 5-step model of intervention research. From lessons learned in our work, we develop an outline of core activities in designing and developing social programs. These include (a) develop problem and program theories; (b) design program materials and measures; (c) confirm and refine program components in efficacy tests; (d)…

Based on the generating functions, for any positive integers "n" and "k", identities are established and the explicit formula for a[subscript i](k) in terms of Fibonomial coefficients are presented. The corresponding results are extended to some other famous sequences including Lucas and Pell sequences.

Purpose: The current literature examining the design of effective online learning opportunities recommends an array of best practices but no agreed upon and unifying model. The purpose of this paper is to survey the existing research of effective design models for online learning in an attempt to identify best practices and present a new model.…

University educators are concerned with student leadership development in order to generate much-needed leaders in every aspect of society. This sequential mixed methods study found that students who participate in a university co-curricular outdoor education leadership training program, combined with the experience of leading a wilderness…