To test the predictive power of the SSARC (stabilize, simplify, automatize, reconstruct, and complexify) model of pedagogic task sequencing in second language (L2) writing development, the present study explores the performance of written decision-making tasks with varied levels of cognitive complexity in a simple-to-complex sequence in comparison…

In this article we advance characterizations of and supports for elementary students' progress in generalizing and representing functional relationships as part of a comprehensive approach to early algebra. Our learning progressions approach to early algebra research involves the coordination of a curricular framework and progression, an…

In this article we focus on "cooperative engineering", in which teachers and researchers co-design didactic sequences. In the first part of the article, we present cooperative engineering by describing some of the main principles on which it is grounded. The second part is dedicated to a case study, which enables us to illustrate some…

In a course emphasizing interactive technology, 19 students, including 18 mathematics education majors, mostly in their first year, reinvented the definition of limit of a sequence while working in small cooperative groups. The class spent four sessions of 75 minutes each on a cyclical process of guided reinvention of the definition of limit of a…

The present study describes a case of a 9-year-old girl diagnosed on the autism spectrum who averaged nearly 1200 hand-to-head self-injuries (+attempts) per school day. Given the resources of the school and the significance of the self-injurious behavior (SIB), analog functional analysis is not possible. Moreover, functional assessment results…

Paper presented to the staff of the English Language Branch--Defense Language Institute; Lockland Air Force Base, Lockland, Texas, 1973. (HW)

This study looks at a specific application of Ainsworth's conceptual framework for learning with multiple representations in the context of using multiple sequential graphic organizers that are student-generated for a process-writing task. Process writing refers to writing that consists of multiple drafts. It may be a process of re-writing without…

This paper describes a framework for researching the Cognition Hypothesis which claims that pedagogic tasks be sequenced for learners on the basis of increases in their cognitive complexity. It distinguishes dimensions of complexity which increase the conceptual and linguistic demands tasks make on communication, so creating the conditions for L2…