The quest for determining the degree of learning difficulty associated with different types of categories has been instrumental in our understanding of human categorization behavior and, more broadly, human generalization. For instance, we now know that the topological nature of the dimensions (e.g., whether these are integral or separable) that…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

This paper explores how a group of pre-service elementary school teachers training to become mathematics teachers for elementary schools arrived at generalizations based on patterns. Two representative problems were investigated with these preservice teachers. The focus of this study was how these preservice teachers analyze and symbolize…

Adult Japanese speakers often experience difficulty learning English /r/-/l/. Previous research has reported the effectiveness of using perception-based high-variability identification training with natural speech stimuli on improving Japanese speakers' perception and production of /r/-/l/. Recent studies have also shown the effectiveness of using…

A well-known challenge for language learners is that the input is typically produced by a variety of speakers, each with distinct vocal characteristics (Liberman, Harris, Hoffman, & Griffith, 1957). Accordingly, many studies have indicated that talker variability leads to processing costs for learners across the lifespan (Jusczyk & Pisoni,…

Describes study that examined the effects of presentation sequence of examples and example difficulty on undergraduate learning with computer-based instruction. Establishing example difficulty according to a generalization formula versus subject matter experts is discussed, and effects on time on task and the number of examples required are…

Six fifth-grade students with learning and/or behavioral/emotional disabilities received peer tutoring on multiplication and division facts using 3 drill and practice conditions varying in the ratio of unknown to known facts (30:70, 50:50, and 70:30). Five of the students mastered facts at a faster rate in the 70% unknown/30% known condition. (DB)