The aim of this study is to characterize ways of reasoning and arguing that first year university mathematics students exhibit in problem-solving activities from a course that emphasizes the importance of formulating conjectures and the search for different ways to support or validate them. The use of a Dynamic Geometry System in the…

In this paper, we describe an experience within mathematics teacher preparation that engages preservice teachers (PSTs) in Making and design practices that we hypothesized would inform their conceptual and pedagogical thinking. With a focus on the design of new tools to support mathematics teaching and learning, this Learning by Design experience…

Statistics courses that focus on data analysis in isolation, discounting the scientific inquiry process, may not motivate students to learn the subject. By involving students in other steps of the inquiry process, such as generating hypotheses and data, students may become more interested and vested in the analysis step. Additionally, such an…

How should a wide variety of educational activities be sequenced to maximize student learning? Although some experimental studies have addressed this question, educational data mining methods may be able to evaluate a wider range of possibilities and better handle many simultaneous sequencing constraints. We introduce Sequencing Constraint…

This study examined the effectiveness of two methods of increasing student learning from posterior probability lessons: diagrams and questioning while reading. Undergraduate students (N = 245) read a lesson in one of three diagram conditions and one of three questioning-while-reading conditions (embedded questions, elaboration interrogations, and…

Dual eye-tracking measures enable novel ways to test predictions about collaborative learning. For example, the research project we are engaging in uses measures of gaze recurrence to help understand how collaboration may differ when students are completing various learning activities focused on different learning objectives. Specifically, we…

Several aspects of interview research heretofore receiving little attention are discussed. A brief description of the different types of interview formats and levels of analysis is presented. Following a discussion of the problem of analyzing protocol data, some suggestions are offered about analysis procedures that derive from constructionist…

In a previous study (Watson, 1960), college students were told that a three-number string ("2, 4, 6") conformed to a rule and that they had to guess the rule by proposing other three-number strings; they were then told whether each guess was right or wrong. However, it was suspected that, since the subject's hypothesis was falsified by…

Meta-analyses of the hypotheses that relationships exist between play and problem solving, and between play and creativity, were conducted. The data set for the meta-analyses included studies designed to investigate the relationship between play and fluency or originality, or between play and problem-solving behavior. The meta-analyses of…

The purpose of the study was to observe the extent to which preschool children's actions were guided by private speech utterances in free play and puzzle solving conditions. A second purpose was to examine how the structure of private speech utterances varied according to the context in which they were uttered. Fifteen preschoolers were videotaped…

Two experiments investigated relationships between state anxiety, memory processes, and children's performance on problem-solving tasks. Participants were second and sixth graders in a private elementary school in Redlands, California. In both experiments, subjects responded to three training and eight test problems presented in the introtact…

Arguing that sufficient theory exists about the interplay between human information processing, computer systems, and the demands of various tasks to construct useful theories of human-computer interaction, this study presents a structural model of human-computer interaction and reports the results of various statistical analyses of this model.…

This report investigated the relationship between learning to program LOGO and the development of problem solving skills. Subjects were 133 students in grades 4-8 who had at least 30 hours of experience with both graphics and lists programming in Logo. Students were randomly assigned to one of three contextual groupings, which received graphics,…

This study examines the nature of the highly variable black-white difference across diverse tests and indicates the major systematic source of this between-population variation, namely, Spearman's g. Eleven large-scale studies (discussed in the appendix), each one comprising anywhere from 6 to 13 diverse tests, show a significant and substantial…

Reported is a study to examine the effects of bilingualism on the ability to formulate scientific hypotheses or solutions to science problems by examining results of the same treatment motivating hypothesis formation given by the same teacher to classes of sixth-grade students ranging from monolingual English-speaking children to proficient…