Learning activities are given for instruction in the skill of associating numbers with sets of dots, a skill intermediate between counting and higher number concepts. (MP)

This discussion of cyclic patterns that appear in repeating decimals includes the use of the calculator in discovering the patterns. (MP)

Beginning with a set of design cards and a rectangular grid, students can generate interesting and colorful designs using rotations, reflections, and translations. (SD)

Describes a model using a group of fifth-grade students to better understand the assessment standards. Discusses the activity, the lesson on tessellation, and instructional decisions from the perspective of the assessment standards. (ASK)

Presents an extension of the hog game that satisfies the mathematical process activities of observing patterns; forming, testing and proving hypotheses; and applying and extending proved results. Discusses use of technology in the investigation of problems and in the process of devising and validating general rules. (ASK)

Describes activities focusing on reading, recording, and analyzing schedules. Provides objectives, directions, worksheets, extensions, and answers to each of the activities. (YP)

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 Historical references also include the works of Euclid and Euler.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…

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…

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…

High levels of academic achievement in Asian educational systems have generated interest in the study of motivational patterns of students in these contexts. The objectives of this paper are firstly, to provide a review of existing literature on the study of motivational styles amongst students and secondly, to identify the occurrence of different…

The purpose of this article is to identify the perceptual skills of expert teachers and offer suggestions for teachers to learn to see like an expert. Being able to perceptively read the critical cues in a learning environment allows teachers to recognize present problems, anticipate potential problems, link immediate problems with previously…

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…