In the quadratic equation, y = ax[superscript 2] + bx + c, the equation y = bx + c is identified as the equation of the line tangent to the parabola at its y-intercept. This is extended to give a convenient method of graphing tangent lines at any point on the graph of a quadratic or a cubic equation. (Contains 5 figures.)

Observational methods are increasingly being used in classrooms to evaluate the quality of teaching. Operational procedures for observing teachers are somewhat arbitrary in existing measures and vary across different instruments. To study the effect of different observation procedures on score reliability and validity, we conducted an experimental…

The purpose of this study was to assess the relative contribution of teacher and tutor ratings of inattentive behavior in two different instructional settings in predicting students' performance on fraction concepts and whole-number calculations. Classroom teachers rated each student's attentive behavior in a whole-class setting and tutors rated…

New high-frequency, automated data collection and analysis algorithms could offer new insights into complex learning processes, especially for tasks in which students have opportunities to generate unique open-ended artifacts such as computer programs. These approaches should be particularly useful because the need for scalable project-based and…

To help all students reach their potential, district leaders must ensure that every student has consistent access to excellent teaching. Opportunity Culture compensation and career path structures help make that possible, and this guide shows how. "Teacher Pay and Career Paths in an Opportunity Culture: A Practical Policy Guide" shows…

To help all students reach their potential, district leaders must ensure that every student has consistent access to excellent teaching. Opportunity Culture compensation and career path structures help make that possible, and this guide shows how. "Teacher Pay and Career Paths in an Opportunity Culture: A Practical Policy Guide" shows…

Districts and schools use progress monitoring to assess student progress, to identify students who fail to respond to intervention, and to further adapt instruction to student needs. Researchers and practitioners often use progress monitoring data to estimate student achievement growth (slope) and evaluate changes in performance over time for…

Districts and schools use progress monitoring to assess student progress, to identify students who fail to respond to intervention, and to further adapt instruction to student needs. Researchers and practitioners often use progress monitoring data to estimate student achievement growth (slope) and evaluate changes in performance over time for…

This paper reports on the analysis of a study of a professional learning intervention focussing on computational estimation. Using a multiple case study design it was possible to describe the impact of the intervention of students' beliefs and computational estimation performance. The study revealed some noteworthy impacts on computational…

Purpose: The purpose of this study was to apply group-based trajectory analysis to identify multiple successful aging trajectories by multiple indicators and to examine the factors related to successful aging among the elderly population in Taiwan. Design and Methods: Nation-representative longitudinal data collected from 1993 to 2007 and…

In October 2011, Council for Learning Disabilities' (CLD's) research committee members (i.e., authors of this article) presented their "Must Reads" at the organization's 33rd Annual International Conference on Learning Disabilities. In this article, the presenters summarize a few of their selected articles and state why each article is a "Must…

This investigation used an ABAB withdrawal design to determine the effect of self-monitoring using the MotivAider® (MotivAider, 2000) on percentage of intervals of on-task behavior by an 11-year old male with a moderate intellectual disability who attended a rural middle school. The MotivAider® is a small device, the size of a pager, which can be…

This single-case study examined the effects of a graphic organizing strategy on the ability of children to improve their text comprehension abilities. Participants were six students between ten and fourteen years old with major problems in understanding what they read. The intervention intended to teach them to visually highlight key elements of a…

Post-secondary institutions within the European Higher Education Area have been adapting quality assurance mechanisms for course design, delivery, and evaluation following a learner-centered approach. The purpose of this exploratory study was to delineate the teaching practices in science, technology, engineering, and mathematics at the…

Under Title III of the No Child Left Behind Act of 2001 (NCLB), the Texas Education Agency is required to establish Annual Measurable Achievement Objectives (AMAOs) for the English language acquisition and academic achievement of limited English proficient (LEP) students. This 2013 Guide to Annual Measurable Achievement Objectives provides AMAO…