• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.275-290
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• 2014

This study aims to examine how secondary mathematics teachers perceive and how they use constructed-response assessment in their mathematics classrooms. For this purpose, we conducted a survey in Seoul, Inchun, and Gyeonggi-do; 189 teachers participated in the survey. Results from the data analysis suggest as follows: a) the secondary mathematics teachers participated in the survey seem to consider the primary goals of assessment through constructed-response items as evaluating student achievement and the development of students' thinking and creativity; b) the teachers perceive that constructed-response assessment would promote students' mathematical thinking and problem solving skills; c) in general, constructed-response items were included in both performance assessment(less than 20 percent) and paper-and-pencil test(20 to 40 percent); and d) constructed-response items were primarily used as a part of regular examination, rather than as an independent assessment.

• The Mathematical Education
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• v.53 no.1
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• pp.131-146
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• 2014

This study examines whether there is discrepancy between elementary and middle school mathematics teachers' beliefs and practices in constructed-response assessment and how their beliefs and practices are interrelated. Analyzing the responses of 212 elementary teachers and 189 middle school mathematics teachers to the questionnaire, we found that there is lack of consistency among elementary and middle school teachers' beliefs, practices, and expected benefits regarding constructed-response assessment. In addition, there was a weak correlation between each group of teachers' beliefs and expected benefits about constructed-response assessment. The results from this study imply that such inconsistency in elementary and middle school teachers' beliefs and practices regarding assessments may determine the effects of constructed-response assessment.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.899-925
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• 2013

The purpose of this study was to examine how constructive-response questions in regular test was in aligned with the nature and goals of 2007 Curriculum Amendment. For this purpose, data were collected and analysed by using the framework for mathematical task and the cognitive demand of tasks suggested by Smith & Stein(1998) and mathematical proficiency suggested by National Research Council(2001). In particular, it aimed to reveal the overall picture of the level of cognitive demand and the proportion of mathematical proficiency of constructed-response items created by secondary mathematics teachers. The findings from the analysis showed that 70 percent of the constructed-response items were at low-level and the rest at high-level in terms of cognitive demand. Also, the constructed-response assessment focused on conputing (89%), understanding(45%), applying(30%) and least reasoning(17%). Most of the constructed-response items included computing and were algorithmic.

• Communications of Mathematical Education
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• v.26 no.3
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• pp.273-299
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• 2012

The purpose of this study is to investigate how constructed-response assessments are currently defined and used to find an alternative way of developing well-defined constructed-response questions and an assessment system. Based on our review of the literature, we analyze constructed-response assessments developed and used in Gyeonggi-do, South Korea and Ohio, U.S.A. in terms of their definitions, types of questions, information and guidelines given by the government agencies in each place, and scoring rubrics and their use. The results provide meaningful implications for the development of constructed-response assessments in the future.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.63-95
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• 2012

Since performance assessment was implemented for 10 years, a survey has been carried out from 212 elementary school teachers in Seoul area in terms of their perception and status about descriptive assessment. As results, most of teachers agreed strongly that using constructed-response items is necessary for assessment, and they showed that purpose of using constructed-response items in their mathematics classrooms was to evaluate accurately student achievement in accordance with learning objectives in mathematics and they referred mainly to items which they modified from problems or items in the textbook when they generate constructed-response items. In addition, they considered level of difficulty in creating constructed-response items mostly. Moreover, they indicated that the effects of assessment through constructed-response items would be improvement of students' problem solving and reasoning skills.

• Journal of the Korean Geographical Society
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• v.47 no.6
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• pp.934-954
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• 2012

Constructed-response items are useful to estimate a higher-order thinking abilities such as sense of place, graphicacy, and geographical imaginations which are aimed by geography education. This study aims to identify the conception of the constructed-response items, to classify those feasible items in geography education, and to propose some comments and suggestions for development and application in Korea. The author tries to classify the constructed-response items by analyzing the NAEP items in the formal aspect and the aspect of cognitive dimension respectively. In the formal aspect, they are classified as 'question-standalone' type and 'material-presenting' type. In the aspect of cognitive dimension, they are classified into three types as 'knowledge-requirement', 'understanding-requirement', and 'applying-requirement'. Some comments and suggestions are as follows. First, it is necessary to develope the constructed-response items that coherent to both content and cognitive dimensions. Second, it is required for students who take an examination to use a great variety of graphics, photos, thematic maps related to geography. Third, we need to inquire the rubric, grade, process to scoring because they are vital to success of the constructed-response items.

• The Journal of Korean Association of Computer Education
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• v.17 no.2
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• pp.39-51
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• 2014

In high-stakes tests for large groups, the efficiency with which students' responses are distributed to raters and how systematic scoring procedures are managed is important to the overall success of the testing program. In the scoring of constructed response items, it is important to understand whether the raters themselves are making consistent judgments on the responses, and whether these judgments are similar across all raters in order to establish measures of rater reliability. The purpose of this study was to design, develop and carry out a pilot test of an online scoring system for constructed response items administered in a paper-and-pencil test to large groups, and to verify the system's reliability. In this study, we show that this online system provided information on the scoring process of individual raters, including intra-rater and inter-rater consistency, compared to conventional scoring methods. We found this system to be especially effective for obtaining reliable and valid scores for constructed response items.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.533-551
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• 2013

The purpose of this study is to investigate how middle school mathematics teachers understand the definition and the purpose of constructed-response assessments as well as what they expect from the assessments. By examining the responses of 189 middle school mathematics teachers to the survey, we found that there is discrepancy between their perceptions and reality of the constructed-response assessments in practice. In other words, teachers' practice is not well aligned with their perceptions and expectations due to the restraint of school system and environment. The findings give us some meaningful implication for the improvement of effective constructed-response assessments and professional development.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.24 no.4 s.175
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• pp.894-900
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• 2000

Optimization of chassis frame is performed according to the minimization of eleven responses representing one total frame weight, three natural frequencies and seven strength limits of chassis frame that are analyzed by using each response surface model from D-optimal design of experiments. After each response surface model is constructed form D-optimal design and random orthogonal array, the main effect and sensitivity analyses are successfully carried out by using this approximated regression model and the optimal solutions are obtained by using a nonlinear programming method. The response surface models and the optimization algorithms are used together to obtain the optimal design of chassis frame. The eleven-polynomial response surface models of the thirteen frame members (design factors) are constructed by using D-optimal Design and the multi-disciplinary design optimization is also performed by applying dual response analysis.

• Transactions of the Korean Society of Automotive Engineers
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• v.13 no.4
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• pp.81-89
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• 2005

The response surface method is the statistical method which can be applied to the non-sensitivity based optimization. The response surface which is constructed by the least square method contains only the polynomial terms so that the global maximum and minimum points are easily obtained. In this paper, this response surface method is utilized to optimize the crashworthiness of auto-body members. As the first step, the thickness of a simple circular tube is optimized to confirm the application of the response surface method to the crashworthiness. Optimization of the thickness on the front side member is, then, performed with the constructed response surface of the absorbed energy and deformation. Optimization results demonstrate that the absorbed energy and the deformation pattern of the front side member is improved in the viewpoint of enhancement of the crashworthiness.