Meta-reasoning refers to processes by which people monitor problem-solving activities and regulate effort investment. Solving is hypothesized to begin with an initial Judgment of Solvability (iJOS)--the solver's first impression as to whether the problem is solvable--which guides solving attempts. Meta-reasoning research has largely neglected…

Many educational data mining studies have explored methods for discovering cognitive models and have emphasized improving prediction accuracy. Too few studies have "closed the loop" by applying discovered models toward improving instruction and testing whether proposed improvements achieve higher student outcomes. We claim that such…

This study is part of ongoing research in undergraduate mathematics education. The study was guided by the belief that understanding the mental constructions the pre-service teachers make when learning matrix algebra concepts leads to improved instructional methods. In this preliminary study the data was collected from 85 pre-service teachers…

This article is concerned with how computer science, and more exactly computational complexity theory, can inform cognitive science. In particular, we suggest factors to be taken into account when investigating how people deal with computational hardness. This discussion will address the two upper levels of Marr's Level Theory: the computational…

This fourth in a series of edited transcripts based on a conference at Utah State University compares Gagne's Conditions of Learning with Merrill's Component Display/Design Theory, and suggests a merging of the two. Topics discussed include content structures, learning hierarchies, learning theories, learner control, problem solving, cognitive…

The fundamental question in creating coding categories for an open-ended questionnaire is how to transform a complete transcript into manageable pieces of data. This paper describes the methodology involved in coding qualitative data derived from an evaluation of the Cognitive Approaches to School Leadership (CASL) program. The first task was to…

In order to study children's strategies for solving geometric matrices similar to those in the Raven's Progressive Matrices, ninety 7-, 10-, and 13-year-old boys and girls were administered tests of auditory and visual memory, the Raven's, and geometric matrices. The matrices varied in number of elements (1 to 3) and number of transformations (0…

Piaget has hypothesized that concrete and formal operations can be described by specific logical models. The present study focused on assessing various aspects of four concrete operational groupings and two variations of two formal operational characteristics. Six hundred twenty-two 9-14 year old students participating in the Human Sciences…

Counterintuitive moments in the classroom challenge common sense and practice and can be used to help mathematics students appreciate the need to explore, reflect, and reason. Proposed are four examples involving geometry, systems of equations, and matrices as counterintuitive instances. (MDH)

In an attempt to specify the nature of the variables associated with socioeconomic status, Jensen has proposed a two-level model of mental abilities. The first level represents associative learning. The second level involves higher-order conceptualization, and problem solving. The purpose of the present study was to develop a matrix completion…

This issue of the journal contains abstracts and critiques of 11 research reports. Three of the reports concern problem solving; the remainder pertain to the following topics: the impact of secondary schooling and secondary mathematics on student mathematical behavior; figural matrices; computer-video instruction in mathematics; equivalent…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…

For the twenty-ninth year, the Research and Theory Division of the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the National AECT Convention in Orlando, Florida. The Proceedings of AECT's Convention are published in two…