A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…

Multilingual instruction takes many shapes and forms depending on the affordances and limitations of the context in which it is implemented. Because multilingual instruction is often context-specific, it has to be designed in collaboration with local stakeholders and developed through multiple implementations in the context. While the field of…

It is not yet understood how children acquire the meaning of numerical symbols and most existing research has focused on the role of approximate non-symbolic representations of number in this process (see Piazza, ("Trends in Cognitive" 14(12):542-551, 2010). However, numerical symbols necessitate an understanding of both order and…

As in most disciplines, the typical introductory class presents topics to students in a linear fashion, beginning (to use psychology as an example) with the history of the field, research methods, brain and neurons, sensation and perception, and so on. This study examined the impact of topic sequence on student achievement. The same professor…

Students benefit from learning multiple procedures for solving the same or related problems. However, past research on comparison instruction has focused on comparing multiple formal procedures. This study investigated whether the benefits of comparing procedures extend to comparisons that involve informal and formal procedures. We also examined…

Learning to write well is a significant outcome of higher education, as confirmed and illustrated in the Written Communication VALUE Rubric of the Association of American Colleges and Universities (AAC&U). Scholars agree that writing and thinking are linked. Thinking about this relationship between writing and thinking in the context of…

The purpose of this collective case study was to explore the best practices in beginning group-piano instruction. Four beginning and intermediate groups of piano students (N =20) were observed. Data were triangulated through in-class observation of students and teachers, teacher interviews and student questionnaires. The master teachers…

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…

This research was conducted to determine the effects of traditional instruction versus Contract Activity Packaged (CAP) versus Programmed Sequenced Learning (PLS) versus Tactual Resources (TR) on the achievement and attitudes of 32 second-year undergraduate teacher education majors enrolled in two classes of a required child-study course at a…

Educational psychology undergraduates were taught in alternating instructional sequences; one sequence was a conceptually oriented lecture followed by a factually oriented self-study, the other sequence was a factual self-study followed by a conceptual lecture. Results more closely supported the predictions derived from the educational set…

Some theoretical considerations for increased use of computer-assisted instruction (CAI) in legal education are compared with other teaching methods, empirical evidence of the method's effectiveness is discussed, and some of the activities involving CAI at Harvard Law School are outlined. (MSE)

Tools to support teachers and learning technologists in the creation of effective learning designs are currently in their infancy. This paper describes a metadata model, devised to assist in the conception and design of new learning activities, that has been developed, used and evaluated over a period of three years. The online tool that embodies…

The purpose of this study was to compare the Gilbertian mathetical sequence (MS) with the Skinnerian logical sequence (LS) methodologies in their effectiveness for language teaching. A series of 3 experiments were designed to investigate the effect of MS and LS on the teaching of Japanese Kanji characters to 24 Japanese fifth-graders. The students…

TWO STRATEGIES FOR TEACHING MULTIPLE-DISCRIMINATION TASKS WERE REPORTED. THE "MULTIPLE CONCEPT" PRESENTS SIMPLE DESCRIPTIONS OF SEVERAL RELATED CONCEPTS AT THE BEGINNING OF INSTRUCTION. INCREASINGLY COMPLEX MATERIAL PERTAINING TO THESE CONCEPTS IS THEN GRADUALLY INTRODUCED. THE "SINGLE CONCEPT" PRESENTS ONE CONCEPT AT A TIME,…

PHASE ONE OF A STUDY TO DETERMINE THE EFFECT OF REVISED FILMS ON THE PRODUCTION OF SIGNIFICANT LEARNING BEHAVIOR WAS REPORTED. THE FILMSTRIP, "THE SUN AND ITS PLANETS," WAS SELECTED AND SHOWN TO GROUPS OF FIFTH-, EIGHTH-, AND TENTH-GRADERS. A TEST COVERING THE CONTENT OF THE FILMSTRIP WAS PRODUCED AND VALIDATED. THREE PHASES WERE IMPOSED…