Background and Context: We explored how learning trajectories (LTs) might be used to design variables instruction. Objective: We aimed to develop an LT for variables and use it to guide curriculum development for fourth graders working in Scratch in an integrated mathematics+CS curriculum. Method: We synthesized learning goals (LGs) and levels of…

Purpose: The purpose of this paper is to identify the different sequence generation techniques for learning, which are applied to a broad category of personalized learning experiences. The papers have been classified using different attributes, such as the techniques used for sequence generation, attributes used for sequence generation; whether…

This review investigates effective interventions for teaching algebra to students with learning disabilities and evaluates the complexity and alignment of skills with the Common Core State Standards in math. The review includes the results of 10 experimental and 5 single-subject designs (N = 15) producing a moderate overall effect size (g = 0.48).…

Evaluates the sequential introduction of compliance training components on the instruction-following of four elementary school students. The components included effective instruction delivery with reinforcement for compliance, time in, and time out. Increased compliance levels were maintained at follow-up with all four students. Discusses results…

Reviews research on sequences in language development and suggests ways to base instruction on each student's level of development. (DD)

The experiments reviewed in this paper give strong reasons for concluding that the order in which things are learned, the range of exemplification of structural principles, and the introduction of a carefully judged amount of conflict may be critical to reaching an appropriate kind and level of learning. (Author/SJL)

Lesson structure (organization in terms of meaningful relationships among ideas or concepts) is a low-inference indicator of lesson organization in that it can be observed and objectively quantified. It affects achievement positively, and students generally rate lessons higher when the structure of the lesson is relatively high. Teachers vary in…

Reviews current literature on coherence in written text, defines coherence in broad terms, and then presents a three-lesson revision unit based on modern coherence principles. In this unit, students "deconstruct" assignment prompts, prepare first drafts, examine another student's first draft, and then revise their essays and examine the revisions.…

Summarizes 14 mathematics word-problem-solving intervention studies for elementary and secondary students with disabilities or who were at-risk for math failure. Interventions included representational techniques (diagramming), strategy-training procedures (cognitive and metacognitive), task variations (sequencing and word-problem context), and…

Using Jean Piaget's theory of thinking as a structuring mechanism, this paper presents a theoretical framework for the development of remedial, corrective, and developmental reading programs geared toward teaching reading comprehension. The four stages of intellectual development that Piaget has proposed (sensorimotor, preoperational, concrete…

A review of literature on learning disabled and emotionally disturbed children is presented, focusing upon the role of the physical education teacher as a part of the educational team responsible for implementing individualized education programs. The close relationship between learning disabilities and emotional disturbances is examined, and…

Reviews theoretical frameworks and psychological processes underlying the perception and cognition of musical understanding. Suggests unifying ideas and processes based on a developmental learning framework applied to teaching methods and curriculum. Supplies six guidelines for music education practitioners who are sequencing learning activities…