Patterns and relationships are shown between the Pythagorean theorem, Fibonacci sequences, and the golden ratio. Historical references also include the works of Euclid and Euler. These unexpected relationships can be used to motivate secondary students. (DC)

Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)

Provides an overview of information retrieval from mainframe systems to Web search engines; discusses collaborative filtering, data extraction, data visualization, agent technology, pattern recognition, classification and clustering, and virtual communities. Argues that rather than huge data-storage centers and proprietary software, we need…

The drawings of 17 four- to five-year-old children from two points in time, age four and age five were analyzed. At both ages four and five, the most commonly used scribbles were single vertical lines, single horizontal lines, and single curved lines, whereas the two least used scribbles were spiral and circular lines spread out. The subjects in…

Designing effective instruction is the goal of any instructional designer. This article discusses how lesson design can be enhanced by incorporating certain fundamentals of cognitive psychology. The stages of human information processing and a typical four-step lesson are integrated in a model that can inform instructional design. (Contains 1…

People have unique ways of learning, which may greatly affect the learning process and, therefore, its outcome. In order to be effective, e-learning systems should be capable of adapting the content of courses to the individual characteristics of students. In this regard, some educational systems have proposed the use of questionnaires for…

This study examined visual, auditory, and cross-modal temporal pattern processing at the nonlinguistic and sublexical linguistic levels, and the relationships between these abilities and decoding skill. The central question addressed whether dyslexic readers are impaired in their perception of timing, as assessed by sensitivity to rhythm.…

This paper highlights five challenges to the accepted wisdom in career development theory and practice. It presents the chaos theory of careers and argues that the chaos theory provides a more complete and authentic account of human behaviour. The paper argues that positivism, reductionism and assumptions of linearity are inappropriate for…

Most colleges and universities have adopted course management systems (e.g., Blackboard, WebCT). Worldwide faculty and students use them for class communications and discussions. The discussion tools provided by course management systems, while powerful, often do not offer adequate capabilities to appraise communication patterns, online behaviors,…

The brain works by making patterns, and this process can be visualized through a medium called visual tools. The book discusses three types of visual tools: brainstorming webs, task-specific organizers, and thinking-process maps. Sample lessons, assessments, and descriptions of visual tools in action are included. Emphasis is placed on the…

Completing these worksheets leads students to discover patterns in the distribution of even numbers and numbers obtained by successive additions of 9 (primary grades). Worksheets for intermediate grades involve counting the number of factorizations for integers, and addition of the first nine whole numbers. (SD)

Using these worksheets students explore patterns in numerical and geometric processes, and predict the outcomes when the processes are iterated further. (SD)

While repairing a sleeping bag, the author observed that the quilt stitching was unicursal. This led to development of a classroom activity relating the stitching patterns of quilts to the highest common factor of the numbers of "bumps" in each direction. (SD)

Acknowledging a growing national awareness of the need for direct instruction in higher order thinking skills within public education, this paper describes an instructional model for reinforcing thinking skills in the classroom, kindergarten through grade 12. Following an introduction justifying the model's reliance on the processing of…

An item format incorporating pattern recognition was designed to assess medical students' abilities in the area of clinical diagnosis. A group of approximately 20 faculty members of five New England medical schools met in Worcester for half of a day to develop pattern recognition items. Teams of four to six physicians were assigned to work on…