Diagnostic Models for Procedural Bugs in Basic Mathematical Skills
TLDR
A new diagnostic modeling system for automatically synthesizing a deep-structure model of a student's misconceptions or bugs in his basic mathematical skills provides a mechanism for explaining why a student is making a mistake as opposed to simply identifying the mistake.About:
This article is published in Cognitive Science.The article was published on 1978-04-01 and is currently open access. It has received 1244 citations till now. The article focuses on the topics: Basic skills & Mistake.read more
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Cognitive Apprenticeship: Teaching the Craft of Reading, Writing and Mathematics
TL;DR: This paper proposes the development of a new cognitive apprenticeship to teach students the thinking and problem-solving skills involved in school subjects such as reading, writing and mathematics.
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Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint):
TL;DR: A review of the literature on problem solving and metacognition can be found in this article, where the authors outline and substantiate a broad conceptualization of what it means to think mathematically, summarize the literature relevant to understanding mathematical thinking and problem solving, and point to new directions in research, development and assessment.
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Toward a Theory of Intrinsically Motivating Instruction
TL;DR: A rudimentary theory of intrinsically motivating instruction is developed, based on three categories: challenge, fantasy, and curiosity, which suggests that cognitive curiosity can be aroused by making learners believe their knowledge structures are incomplete, inconsistent, or unparsimonious.
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Knowing What Students Know: The Science and Design of Educational Assessment
TL;DR: In this article, the authors propose a new kind of assessment called Knowing What Students Know (KSS), which aims to make as clear as possible the nature of students' accomplishments and the progress of their learning.
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Becoming a strategic reader
TL;DR: In this article, the authors examine aspects of knowledge and motivation that are critical to becoming a strategic reader, emphasizing that agents are strategic, not actions removed from contexts, and that self-guided learning depends on the intentions, perceptions and attributions of learners.
References
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A Structure for Plans and Behavior
TL;DR: Progress to date in the ability of a computer system to understand and reason about actions is described, and the structure of a plan of actions is as important for problem solving and execution monitoring as the nature of the actions themselves.
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Student models in computer-aided instruction
TL;DR: A student model consisting of a set of programs to represent the student's knowledge state is proposed, and teaching proceeds after a comparative evaluation of student and teacher programs, and learning is represented by direct modification of the student model.
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Initial Report on a Lisp Programmer's Apprentice
Charles Rich,Howard Shrobe +1 more
TL;DR: The initial design and partial implementation of an interactive programming environment to be used by expert programmers and a deductive system which can verify the correctness of plans involving side effects on complex data with structure sharing are described.
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Semantic grammar: an engineering technique for constructing natural language understanding systems
TL;DR: The intent has been to produce a front end system which enables the user to concentrate on his problem or task rather than making him worry about how to communicate his ideas or questions to the machine.