We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…

The findings discussed here are a small part of a larger study entitled, "Encouraging Persistence Maintaining Challenge". The paper reports five teachers' observations of the implementation of a task which was new to them. The teachers were asked to identify aspects of the task which they perceived as challenging for the Year 6 students.…

In this paper, we describe our learning progressions approach to early algebra research that involves the coordination of a curricular framework, an instructional sequence, written assessments, and levels of sophistication describing the development of students' thinking. We focus in particular on what we have learning through this approach about…

As learning trajectories gain traction in mathematics education, we seek to understand the ways in which teachers may use them in interactions with students. This paper reports on one group of elementary teachers' use of their emerging knowledge of a learning trajectory to examine key pedagogical practices. Findings suggest that a learning…

Adaptive learning techniques have typically scheduled practice using learners' accuracy and item presentation history. We describe an adaptive learning system (Adaptive Response Time Based Sequencing--ARTS) that uses both accuracy and response time (RT) as direct inputs into sequencing. Response times are used to assess learning strength and to…

The paper describes a multisensory technique which involves an individualized, sequential plan of instruction for the handicapped student. The multisensory technique is explained to involve three tasks in its developmental sequence--identification, naming, and writing. The technique is applied to the case of a student whose errors on the Key Math…

A study of the growth of seventh grade students' writing ability after targeted discussions of children's literature was based on the assumption that active comprehension of a distinctive model of literature would provide an awareness of the structure of narrative prose that would transfer to the student's own writing. Eight students participated…

The rhetorical cycle is a step-by-step approach that provides classroom experience before students actually write, thereby making the writing process less frustrating for them. This approach consists of six sequential steps: reading, thinking, speaking, listening, discussing, and finally writing. Readings serve not only as models of rhetorical…

A total of 169 college students participated in two experiments investigating the effects of eight instructional sequences and the presence of a heuristic rule in the teaching of four coordinate concepts: trochaic, iambic, dactylic, and anapestic poetic meters. A four-factor experimental design was used: pure simultaneous or sequential…

An understanding of an author's structure of ideas assists readers in comprehending a text. Three kinds of writing activities relate to a reading comprehension subskill. (1) sequencing--the logical presentation of events, times, places, ideas or steps in a procedure to accomplish a task or to comprehend an event--for which a teaching progression…

Flowcharting, a skill used to program computers, can be used to teach reading skills. Like programing, flowcharting requires knowledge of a particular content area and an understanding of how to process the information. Skills such as identifying the main idea and supporting details, sequencing ideas or statements, and distinguishing relevant from…

A number of college students in forensic debate may be deterred from debating broad topics due to a lack of appropriate cognitive development and a perception of unacceptable certainty. These students have failed to develop formal thinking patterns because they lack reinforcing experiences in reasoning at that level. A sequenced pattern of…

The effectiveness of computer simulation versus laboratory procedures in teaching logic circuits was compared. Also investigated was the sequencing of these activities with a reading assignment. Subjects were 96 undergraduates who were tested using different pretests and posttests. An analysis of variance on the data gathered showed that sequence…

Three methods of sequencing coordinate concepts (simultaneous, collective, and successive) were investigated with a Bayesian, computer-based, adaptive control system. The data analysis showed that when coordinate concepts are taught simultaneously (contextually similar concepts presented at the same time), student performance is superior to either…

Sequenced writing assignments--a series of related writing tasks--offer students frequent opportunities to write and to acquire writing skills through redundancy, progressively more complicated cognitive and rhetorical demands, and a diversity of learning activities. The most frequently identified goal of sequencing is to move students beyond…