A brief overview of the history of teaching writing reveals a shift from an emphasis on the composed product to the composing process and provides writing teachers who work one-to-one with students with a theoretical seven-stage model of the composing process: starting-point, exploration, incubation, illumination, composing, reformulation, and…

Virtual Patient Simulations (VPS) are web-based exercises involving simulated patients in virtual environments. This study investigates the utility of VPS for increasing medical student clinical reasoning skills, collaboration, and engagement. Many studies indicate that VPS provide medical students with essential practice in clinical decision…

Mixed methods research has increased in popularity over the past 20 years. Literature reveals that exploratory qualitative analysis followed by confirmatory survey research is common and concurrent studies outnumber longitudinal design. Longitudinal studies using quantitative and qualitative methods in sequence for exploratory purposes are rare,…

The purpose of this study was to illuminate the barriers to persistence underprepared students at the community college experience after the initial successful completion of one semester. A qualitative interview study, grounded in phenomenology, was implemented. Participants were identified through a process of purposeful selection, which included…

Temporal data are increasingly prevalent and important in analytics. Time series (TS) data are chronological sequences of observations and an important class of temporal data. Fields such as medicine, finance, learning science and multimedia naturally generate TS data. Each series provide a high-dimensional data vector that challenges the learning…

Access to quality mathematics content and instruction has been equated as a civil right (Moses & Cobb, 2001). However, access to empowering mathematics is not a reality for many urban youth. Data show an achievement gap between Black, Hispanic and American Indian students and their peers which, in turn, result in unequal access to education and…

Presents an algorithm to estimate pi by approximating a unit circle with a sequence of inscribed regular polygons. Demonstrates the application of the algorithm with a hand-held calculator and an Apple computer. Provides a program to calculate pi in Pascal programing language. (12 references) (MDH)

The author shows that the set of all sequences in which each term is the sum of the two previous terms forms a vector space of dimension two. He uses this result to obtain the formula for the Fibonacci sequence and applies the same technique to other linear recursive relations. (MM)

Generally, when recursion is introduced to students the concept is illustrated with a toy (Towers of Hanoi) and some abstract mathematical functions (factorial, power, Fibonacci). These illustrate recursion in the same sense that counting to 10 can be used to illustrate a for loop. These are all good illustrations, but do not represent serious…

The use of technology allows students to look at mathematical concepts in many different ways. With a variety of perspectives, studying ideas that were at one time difficult to understand are possible. Mathematics learning focuses more on concepts and less on computations. Various sequences including arithmetic, geometric, and partial sum can be…

Described is a classroom activity incorporating a computer spreadsheet to study number patterns generated by the Fibonacci sequence. Included are examples and suggestions for the use of the spreadsheet in other recursive relationships. (JJK)

Introduces a generic, application-independent model of human-computer information-seeking dialog, the Conversational Roles (COR) Model, and reviews the theoretical background. COR is represented as a recursive state-transition-network that determines legitimate types and possible sequences of dialog acts, and categorizes dialog acts on the basis…

This study implements a teacher professional development program with an aim toward developing mathematics teachers' discourse-based assessment practice (DAP) and exploring its possible impact on teacher discourse in sessions and in DAP in the classroom. DAP is a type of formative assessment practice which consists of questioning and feedback.…

LOGO is a programming language developed at Bolt, Beranek and Newman, Inc., specifically for use in teaching. It provides the student with a set of numerical and symbolic primitives as elements for gradually building extended, complex program structures. The building of these structures is facilitated by a procedure-oriented programming heuristic…

Contemporary Mathematics in Context is a four-year, integrated mathematics program developed by the Core-Plus Mathematics Project (CPMP) at the Everyday Learning Corporation. The program features student and teacher materials for a three-year core curriculum for all students as well as a fourth-year course continuing the preparation of students…