Graphics have been used since ancient times to portray things that are inherently spatiovisual, like maps and building plans. More recently, graphics have been used to portray things that are metaphorically spatiovisual, like graphs and organizational charts. The assumption is that graphics can facilitate comprehension, learning, memory, communication and inference. Assumptions aside, research on static graphics has shown that only carefully designed and appropriate graphics prove to be beneficial for conveying complex systems. Effective graphics conform to the Congruence Principle according to which the content and format of the graphic should correspond to the content and format of the concepts to be conveyed. From this, it follows that animated graphics should be effective in portraying change over time. Yet the research on the efficacy of animated over static graphics is not encouraging. In cases where animated graphics seem superior to static ones, scrutiny reveals lack of equivalence between animated and static graphics in content or procedures; the animated graphics convey more information or involve interactivity. Animations of events may be ineffective because animations violate the second principle of good graphics, the Apprehension Principle, according to which graphics should be accurately perceived and appropriately conceived. Animations are often too complex or too fast to be accurately perceived. Moreover, many continuous events are conceived of as sequences of discrete steps. Judicious use of interactivity may overcome both these disadvantages. Animations may be more effective than comparable static graphics in situations other than conveying complex systems, for example, for real time reorientations in time and space.

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Graphics, such as maps, have been used since ancient times to portray things that are inherently visual. More recently, graphics such as diagrams and graphs, have been used to portray things that are metaphorically spatio-visual. The assumption is that graphics facilitate comprehension, learning, memory, and inference. Assumptions aside, research on static graphics has shown that only carefully designed and appropriate graphics prove to be beneficial.

The movement towards high stakes testing promises to encourage rigor and accountability in middle school mathematics, but there is a danger that a toonarrow focus on testing will take time and attention away from mathematics instruction. The fundamental dilemma that teachers face in trying to use assessment to guide instruction (i.e., to figure out what is the next best thing for a student to try to learn) is that because assessment takes time away from instruction, how can teachers be sure the time spent assessing will improve instruction enough to justify the cost of lost instructional time. We propose to address this dilemma by building and experimentally evaluating the effectiveness of a web-based "Assistment " system for middle school mathematics. This system will 1) quickly predict a student’s score on a standard-based test, 2) provide feedback to teachers about how they can specifically adapt their instruction to address student knowledge gaps, and 3) unlike other assessments system, provide an opportunity for students to get intelligent tutoring assistance at they same time

It is proposed that when solving an arithmetic word problem, unsuccessful problem solvers base their solution plan on numbers and keywords that they select from the problem (the direct translation strategy), whereas successful problem solvers construct a model of the situation described in the problem and base their solution plan on this model (the problemmodel strategy). Evidence for this hypothesis was obtained in 2 experiments. In Experiment 1, the eye fixations of successful and unsuccessful problem solvers on words and numbers in the problem statement were compared. In Experiment 2, the degree to which successful and unsuccessful problem solvers remember the meaning and exact wording of word problems was examined. Why are some students successful in solving word problems whereas others are unsuccessful? To help answer this question, we begin with the well-established observation that many students from kindergarten through adulthood have difficulty in solving arithmetic word problems that contain relational statements, that is, sentences that express a numerical relation between two variables (Hegarty,

We present research leading toward an understanding of the optimal audio-visual representation for illustrating concepts for illiterate and semi-literate users of computers. In our user study, which to our knowledge is the first of its kind, we presented to 200 illiterate subjects each of 13 different health symptoms in one representation randomly selected among the following ten: text, static drawings, static photographs, hand-drawn animations, and video, each with and without voice annotation. The goal was to see how comprehensible these representation types were for an illiterate audience. We used a methodology for generating each of the representations tested in a way that fairly stacks one representational type against the others. Our main results are that (1) voice annotation generally helps in speed of comprehension, but bimodal audio-visual information can be confusing for the target population; (2) richer information is not necessarily better understood overall; (3) the relative value of dynamic imagery versus static imagery depends on various factors. Analysis of these statistically significant results and additional detailed results are also provided.

This contribution reports on ongoing collaborative

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This article provides a tutorial overview of cognitive architectures that can form a theoretical foundation for designing multimedia instruction. Cognitive architectures include a description of memory stores, memory codes, and cognitive operations. Architectures that are relevant to multimedia learning include Paivio’s dual coding theory, Baddeley’s working memory model, Engelkamp’s multimodal theory, Sweller’s cognitive load theory, Mayer’s multimedia learning theory, and Nathan’s ANIMATE theory. The discussion emphasizes the interplay between traditional research studies and instructional applications of this research for increasing recall, reducing interference, minimizing cognitive load, and enhancing understanding. Tentative conclusions are that (a) there is general agreement among the different architectures, which differ in focus; (b) learners ’ integration of multiple codes is underspecified in the models; (c) animated instruction is not required when mental simulations are sufficient; (d) actions must be meaningful to be successful; and (e) multimodal instruction is superior to targeting modality-specific individual differences. Multimedia is increasingly providing richer environments for learning by presenting information in a wide variety of

One of the most important applications of grounded cognition theories is to science and mathematics education, where the primary goal is to foster knowledge and skills that are widely transportable to new situations. This presents a challenge to those grounded cognition theories that tightly tie knowledge to the specifics of a single situation. In this