This study investigates students' ways of attending to linear sequential data in two tasks, and conjectures possible relationships between those ways and elements of the task design. Drawing on the substantial literature about such situations, we focus for this paper on linear rate of change, and on covariation and correspondence approaches to…

This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…

Fractions are an essential foundational skill for future mathematics success (NMAP, 2008). The purpose of this article was to review current instructional practices for teaching fractions to struggling learners and to examine the quality and effectiveness of contemporary research with a view to indicating directions for future research. A…

Examines elaboration theory of instruction (ETI), a theory that prescribes different patterns of sequencing for different kinds of learning. Presents results of surveying undergraduate students who have undergone ETI sequencing. Results identify the strengths and weaknesses of the instruction and ways of improving it. Student debriefing questions…

Discusses the importance of revisiting problems to encourage children to amplify their mathematical thinking and for teachers to note developmental growth and patterns among learners. Describes experiences with a classic problem that was revisited several times. (ASK)

The current paper provides a description of instructional approaches for teaching mathematics to secondary students with learning disabilities (LD) and emotional disturbance (ED) within juvenile correctional schools. Recommendations for math instruction are based on a comprehensive review of the literature and examples are provided from an urban…

Edwin Gordon took the sequential levels of learning outlined by Gagne and adapted them to audiation (the ability to hear music for which the sound is not physically present) and musical learning. His method of teaching music is discussed. (RM)

Teaching organizational strategies to language-disordered children can improve comprehension and formulation of written language. The semantic organizer approach involves activating and organizing prior knowledge, understanding text structure, and developing organizational strategies with both a verbal component and a graphic-structure component.…

Presents a method to teach stoichiometry where a problem is broken down into four factors and two cycles. Offers grams of known, moles of known, moles of unknown, and grams of unknown as the factors. Uses factor labeling as the second cycle. (MVL)

Discusses the nature and sequencing of decisions involved in designing a game, simulation, or workshop from the theoretical perspective of course and curriculum design. A model for design is presented that incorporates objectives, teaching/learning methods, content, and assessment/evaluation, and other models are also discussed. (Author/LRW)

This document is a guidebook containing a sequence of learning strategies to teach facts and concepts of voter education. Strategies are grouped into four grade divisions: primary (K-3), intermediate (4-6), secondary (7-9), and high school (10-12). Each grade section is organized into the following order: introduction, strategy, major idea,…

In the last edition of "Teaching History", Maria Osowiecki described in detail the fourth lesson in a five-lesson enquiry entitled: What was remarkable about the Renaissance? She also shared her resources for two lively, interactive activities--the Renaissance Party and a balloon debate. Here she complements that piece with a full…

Description of a study which formulated a model of the cognitive processes involved in learning statistics material via computer assisted learning (CAL) focuses on mode of presentation (aural or visual), sequence of the material, and previous mathematical experience. Textual analysis is discussed and implications of the results for design of CAL…

The implicit assumption behind personal writing assignments given at the beginning of a writing course is that personal essays eliminate the writing apprehension of having nothing to say. However, college freshmen find it very difficult to write about themselves and their own opinions because this writing involves abstract mental processes and…

Many classical pianists want to develop jazz piano skills because they have acquired: (1) an awareness of the importance of jazz as an art form; (2) an attraction to the sophistication and complexity of jazz music; (3) an interest in exploring contemporary music styles; and (4) a desire to become involved with a type of music which is viewed as…