If a curriculum developer's goal is to create a single linear sequence of tasks that lead to the development of some important mathematical concept, then some researchers have suggested that these sequences should follow progressions similar to stages of development that have been identified in Piaget-like research on the relevant concept(s).…

Some band teachers wonder why they often have to repeat themselves several times for their band students. Of course there may be more than one reason, but it is possible that some teachers are accommodating only one learning style with their teaching. After the author of this article did a bit of study, he thought this might have been happening to…

This paper proposes a genetic development of the concept of limit of a sequence leading to a definition, through a succession of proofs rather than through a succession of sequences or a succession of epsilons. The major ideas on which it is based are historical and depend on Euclid, Archimedes, Fermat, Wallis and Newton. Proofs of equality by…

Universal design for assessments is an approach to educational assessment based on principles of accessibility for a wide variety of end users. Elements of universal design include inclusive test population; precisely defined constructs; accessible, non-biased items; tests that are amenable to accommodations; simple, clear and intuitive…

Describes the efforts of the Triton College Continuing Education Department to develop a unified curriculum and to market the program. Includes information on developing a continuing education philosophy, providing a unified curriculum, and creating a marketing bulletin. Illustrates ways to recombine courses to provide a unified approach. (CH)

Let's stop saying sorry for the Empire! Thus Mastin and Wallace introduce one of their lessons on interpretations of the British Empire. They develop Gary Howells's ideas from the previous edition of "Teaching History" to demonstrate exactly what we might get our students to do with interpretations of the past. They produce an enquiry…

This article describes the steps of moving from state curriculum standards for writing to selecting and teaching a writing strategy to designing curriculum-based assessments in writing. The relationship between assessment and instruction is strengthened as educators monitor student progress in the state curriculum standards, make sound…

Examines continuity in curricular aims, content, teaching, and assessment as found in the geography programs of a single secondary school and its feeder primary schools. Places emphasis on pupils aged 8 to 13. Finds little agreement in any of the areas investigated. Proposes that structures are needed to develop productive dialogue. (KO)

Describes Information Mapping, a methodology for the analysis, organization, sequencing, and presentation of information and explains three major parts of the method: (1) content analysis, (2) project life-cycle synthesis and integration of the content analysis, and (3) sequencing and formatting. Major criticisms of the methodology are addressed.…

In St. Mary's County (Maryland) schools' revamped curriculum, tech prep encompasses four clusters: applied business/management, applied engineering/mechanics, applied health/human services, and college prep. Career counselors help eighth graders choose a cluster and monitor their satisfaction with their choice, allowing them to change until junior…

This article challenges choral teachers to motivate their choirs to a new level of choral singing and harmonic creativity and outlines a sequential process for introducing improvisation into the daily warm-up. It argues that students can learn to harmonize and improvise by ear as part of each day's warm-up period. Sections include: (1) Chord…

Transformational Events is a new pedagogic pattern that explains how innovations (and other transformations) happened. The pattern is three temporal stages: an interval of increasingly unsatisfactory ad hoc solutions to a persistent problem (the "mess"), an offer of an invention or of a new way of thinking, and a period of widespread adoption and…

Our approach to emotion in school mathematics draws on social semiotics, pedagogic discourse theory and psychoanalysis. Emotions are considered as socially organised and shaped by power relations; we portray emotion as a charge (of energy) attached to ideas or signifiers. We analyse transcripts from a small group solving problems in mathematics…

The Read/Write for Personal and Economic Growth program starts with the writing of three-sentence paragraphs that contain a topic sentence and two major detail sentences. The program begins with short passages so that adult learners can experience immediate success. As learners progress, they receive help on such problems as sentence fragments,…

We are researching actions that teachers can take to improve mathematics learning for all students. Structural elements of the lessons being trialled include making aspects of pedagogy explicit to seek to overcome differences in familiarity with schooling processes, and sequencing tasks with the potential to engage students. This article reports…