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ON VERBAL MATH PROBLEM SOLVING PERFORMANCE
"... This reproduction was made from a copy of a document sent to us for microfilming. While the most advanced technology has been used to photograph and reproduce this document, the quality of the reproduction is heavily dependent upon the quality of the material submitted. The following explanation of ..."
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This reproduction was made from a copy of a document sent to us for microfilming. While the most advanced technology has been used to photograph and reproduce this document, the quality of the reproduction is heavily dependent upon the quality of the material submitted. The following explanation of techniques is provided to help clarify markings or notations which may appear on this reproduction. 1. The sign or "target " for pages apparently lacking from the document photographed is "Missing Page(s)". If it was possible to obtain the missing page(s) or ~ection, they are spliced into the film along with adjacent pages. This may have necessitated cutting through an image and duplicating adjacent pages to assure complete continuity. 2. When an image on the film is obliterated with a round black mark, it is an indication of either blurred copy because of movement during exposure, duplicate copy, or copyrighted materials that should not have been filmed. For blurred pages, a good image of the page can be found in the adjacent frame. If
A general approximation technique for constrained forest problems
 SIAM J. COMPUT.
, 1995
"... We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph with trees, cycles, or paths satisfying certain requirements. In particular, many basic combinatorial optimization proble ..."
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Cited by 414 (21 self)
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collecting traveling salesman or Steiner tree problems, we obtain 2approximation algorithms, therefore improving the previously bestknown performance guarantees of 2.5 and 3, respectively [Math. Programming, 59 (1993), pp. 413420].
Coordinating Collaborative Action in Online Math Problem Solving
"... Abstract: Collaboration is understood as a central theme in CSCL studies. In this paper, collaboration is explored in terms of the ways that interactants in a CSCL setting transition from one activity to a next. Rather than simply initiate a next activity upon completion of a current activity, stude ..."
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, students using the Virtual Math Teams (VMT) environment initiated nextsequence selection sequences, making the choice of a next activity a collaborative matter. While differences in skill and competency may mask the collaborative orientation of actors engaged in math problem solving, the way actors
Evaluating math problem solutions with Mathcad software
"... Abstract. The study aimed to describe links between methods of assessing and teaching mathematics. Specifically, it tried to evaluate the effectiveness of the Mathcad software as a tool in assessing mathematics and its impacts to improved teaching and learning achievements. Teachers often face over ..."
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overburdened tasks to assess and evaluate students learning progresses attainment of new knowledge and skills through manuals checks of complicated multistage math problem solutions and computations. Thus, it required to prepare worksheets with problem solutions using Mathcad, in order to guide and check
Group Cognition in Online Collaborative Math Problem Solving
"... This is a case study of online collaboration on an algebra problem. It adapts the methodology of conversation analysis to quasisynchronous, textbased chat room technology. The analysis is conducted within the context of a designbased research effort, so a primary goal is to identify technological ..."
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math problem solving can productively be analyzed at the small group unit of analysis. • The methodology of conversation analysis can effectively be adapted to interpret textbased online interaction. • Group cognition displays the potential to achieve more than the individual participants seem capable
Reflection on the Assessment of a Math Problem in a China Elementary School
"... Abstract The assessment of a math problem in a China elementary school manifests that the math teacher is now still keeping to the obsolete notion of school education, attaching more significance to the result instead of the process of classroom instruction and adhering more importance to the stand ..."
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Abstract The assessment of a math problem in a China elementary school manifests that the math teacher is now still keeping to the obsolete notion of school education, attaching more significance to the result instead of the process of classroom instruction and adhering more importance
Programming by demonstration framework applied to procedural math problems
, 2013
"... K12 mathematics includes many procedures to be learned, such as addition and subtraction, and there are many “buggy ” or incorrect procedures that students demonstrate during this learning process. Learning such procedures (both correct and incorrect) from demonstration traces has various applica ..."
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Cited by 2 (2 self)
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and leverages ideas from versionspace algebras and templatebased program synthesis. Our implementation efficiently synthesized programs to solve 20 common math procedures and reproduce 28 different kinds of bugs that were demonstrated by real students across 9 procedures. Our implementation significantly out
Collaboration and Chat: Recipiency in Online Math Problem Solving
"... Abstract: In this paper, we examine ways that participants in online math problemsolving chat sessions disattend and attend to postings by other participants and the ways that participants design their postings to elicit responses from recipients. This is consequential in terms of the design of CSC ..."
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Abstract: In this paper, we examine ways that participants in online math problemsolving chat sessions disattend and attend to postings by other participants and the ways that participants design their postings to elicit responses from recipients. This is consequential in terms of the design
EEG Estimates of Engagement and Cognitive Workload Predict Math Problem Solving Outcomes
"... Abstract. The study goal was to evaluate whether Electroencephalography (EEG) estimates of attention and cognitive workload captured as students solved math problems could be used to predict success or failure at solving the problems. Students (N = 16) solved a series of SAT math problems while we ..."
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Cited by 2 (0 self)
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Abstract. The study goal was to evaluate whether Electroencephalography (EEG) estimates of attention and cognitive workload captured as students solved math problems could be used to predict success or failure at solving the problems. Students (N = 16) solved a series of SAT math problems while
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