Learning progressions detail the incremental steps that students take as they learn to master a skill. These progressions are based on developmental research about how students learn and how their thinking develops as a result of instruction. A typical progression not only describes the stages that students must master, but it also shows what…

Mairead Hourigan and Aisling Leavy describe a range of teaching and learning activities focusing on the identification and classification of 2-dimensional shapes. The activities described are useful in highlighting students' misconceptions regarding non-traditioanl and non-prototypical shapes.

"That was the day I decided I was bad at math." Countless times, preservice and in-service teachers make statements such as this after sharing vivid memories of learning multiplication facts. Timed tests; public competitive games, such as Around the World; and visible displays of who has and has not mastered groups of facts still…

Find out how to use photographic images to support the conceptual development of proportional thinking. This paper provides insight into a sequenced activity that promotes student engagement and makes links to familiar and unfamiliar contexts.

This article promotes the use of mathematically appropriate, engaging and challenging tasks to support learning that is worthwhile. The authors share insights from a three-lesson design experiment and the three tasks along with the results from their implementation are explored.

This report summarizes recommendations from NCTM, NRC, CCSSM, NMAP, and IES to guide early numeracy instruction for elementary age students in general and special education classroom settings. We highlight common threads among general and special education research recommendations and provide a numeracy intervention curriculum model connecting…

Practitioner concerns and the changing educational marketplace are pressuring colleges to provide more skills based learning. Among the newer skill based areas of study that is greatly in demand is professional sales. In this paper, two courses in a successful professional sales program are examined through the lenses of experiential learning…

Prompted by the need for leaders able to turn around chronically low-performing schools, states, universities, education groups, and school districts in the US have initiated a variety of principal development programs. Some programs focus on enhancing the skills of experienced administrators, while others target talented teachers and even…

Presents a developmental approach to teaching programing at all educational levels which stresses concepts rather than syntax; provides motivation, relevant examples, and activities; proceeds from concrete to pictorial to abstract according to age and experience of learners; and utilizes increasingly complex activities building upon and extending…

The author describes common elements of exemplary vocational curricula. These include (1) business and industry involvement, (2) an integrated learning system, (3) a logical sequence, (4) equity components, and (5) preparation for lifelong learning. (CH)

In this article, the author describes "Dr. Gesundheit and the Mysteries of Snake Valley," a mini-unit that he designed so that his middle-level students could learn to interpret archaeological diagrams, work cooperatively to discover relationships among their observations, and draw well-founded conclusions. The unit requires approximately four…

This article presents 10 practical teaching procedures to encourage students to develop formal reasoning skills. A twelfth-grade English course is used as an example. Procedures include pretesting, sequencing instruction, providing students with concrete experiences, discussing reasoning patterns and forms of argumentation, assigning argumentative…