• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.301-319
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• 2013

This study is to explore the directions for developing the lesson assessment of the math textbook in elementary school level, which is to embody the recent trends of math assessment and the emphases about assessment given in the revised 2009 math curriculum. To this end, we examined the recent trends of math assessment and the assessment framework of RME (Realistic Math Education) as the theoretical backgrounds. Also we analytically looked at the math-assessment emphases given in the revised 2009 math curriculum, and tried to establish the directions for developing the lesson assessment of the math textbook on the basis of the preceding studies. In addition to, we gave the math items in line with the established directions about lesson assessment. Finally we suggested the issues in relation with the math assessment in the elementary school level.

• The Mathematical Education
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• v.60 no.2
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• pp.209-228
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• 2021

The purpose of this study is developed the Item Feature Analysis (IFA) frameworks for curriculum-based assessments, focusing on Math competency and representation in secondary schools and implemented the IFA in National Assessment of Educational Achievement. To conduct the study, previous studies were analyzed, and feasibility studies were conducted twice. As a result of the study, we structured the IFA framework based on the 2015 revised mathematics curriculum in Korea and developed a method to analyze the characteristics of the math items. The results of structuring the framework for math included two categories: math competency in the content aspects, and representation type in the formal aspects. Specifically, 12 features of math competency and 8 features of representation type were identified, and an item feature analysis framework composed of these features was developed. The math competency was developed based on the subject competency of 2015 national curriculum. Math assessments in high schools, which have been changed to the competency-based assessments, had more frequency of the feature of math competency compared to middle schools. In this study, implemented the IFA in National Assessment of Educational Achievement and explored the way of ensuring the validity. These have been proved as critical applications for ensuring the validity of curriculum-based student assessment as well as building a tool for assessment.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.157-175
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• 2015

This study was conducted with the aim to develop and improve the assessment literacy of teachers which enables it to develop and utilize the assessment items using a wide range of contexts on the basis of an understanding of math contents and mathematical process specified in the math curriculum and to analyze the results in an effective way. To analyze the changes in the development and improvement of the assessment literacy of preservice math teachers, the author of this study, using PISA items and assessment framework, analyzed the changes through the 1st and 2nd development of assessment items. The results showed the assessment literacy of preservice math teachers and their ability have been improved, implying that there is the necessity to develop a wide range of programs to improve the assessment literacy of preservice math teachers and provide such programs on a regular basis, which will facilitate effective math teaching and learning.

• The Mathematical Education
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• v.49 no.4
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• pp.523-540
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• 2010

The purpose of the study were to analyze MathThematics textbooks and Korean middle school mathematics and to investigate the difference among the textbooks in the view of mathematical communication. According to the results, the textbook developers made a variety of efforts to develope students' mathematical communication ability. Students were encouraged to communicate with others about their mathematical ideas or problem solving processes in words or writing by means of discussion, oral report, presentation, journal, etc. MathThematics textbooks provided student self-assessment opportunity to improve student performance in problem solving, reasoning, and communication. In communication assessment, students can assess their use of mathematical vocabulary, notation, and symbols, the use of graphs, tables, models, diagrams and equation to solve problem and their presentation skills. The assessment activities would make a positive impact on the development of students' mathematical communication ability. MathThematics textbooks provided a variety of problem situation including history, science, sports, culture, art, and real world as a topic for communication, however, the researcher found that some of Korean textbooks depends heavily on mathematical problem situations.

• Korean Journal of Food Science and Technology
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• v.38 no.4
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• pp.589-593
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• 2006

The objective of this study was to evaluate the use of fuzzy math strategy to calculate variability and uncertainty in quantitative risk assessment. We compared the propagation of uncertainty using fuzzy math simulation with Monte Carlo simulation. The risk far Listeria monocytogenes contamination was estimated for carcass and processed pork by fuzzy math and Monte Carlo simulations, respectively. The data used in these simulations were taken from a recent report on pork production. In carcass, the mean values for the risk from fuzzy math and Monte Carlo simulations were -4.393 log $CFU/cm^2$ and -4.589 log $CFU/cm^2$, respectively; in processed pork, they were -4.185 log $CFU/cm^2$ and -4.466 log $CFU/cm^2$ respectively. The distribution of values obtained using the fuzzy math simulation included all of the results obtained using the Monte Carlo simulation. Consequently, fuzzy math simulation was found to be a good alternative to Monte Carlo simulation in quantitative risk assessment of pork production.

• Food Science and Biotechnology
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• v.16 no.3
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• pp.361-366
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• 2007

As the application of quantitative risk assessment (QRA) to food safety becomes widespread, it is now being questioned whether experimental results and simulated results coincide. Therefore, this paper comparatively analyzed experimental data and simulated data of the cross contamination, which needs summation of the simplest calculations in QRA, of chicken by Monte Carlo simulation and fuzzy math computation. In order to verify summation, the following basic operation was performed. For the experiment, thigh, breast, and a mixture of both parts were preserved for 24 hr at $20^{\circ}C$, and then the cell number of Salmonella spp. was measured. In order to examine the differences between experimental results and simulated results, we applied the descriptive statistics. The result was that mean value by fuzzy math computation was more similar to the experimental than that by Monte Carlo simulation, whereas other statistical descriptors by Monte Carlo simulation were more similar.

• Research in Mathematical Education
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• v.15 no.2
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• pp.181-196
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• 2011

In mathematical modeling tasks, where students are exposed to model-eliciting for real and open problems, students are supposed to formulate and use a variety of mathematical skills and tools at hand to achieve feasible and meaningful solutions using appropriate problem solving strategies. In contrast to problem solving activities in conventional math classes, math modeling tasks call for varieties of mathematical ability including mathematical creativity. Mathematical creativity encompasses complex and compound traits. Many researchers suggest the exhaustive list of criterions of mathematical creativity. With regard to the research considering the possibility of enhancing creativity via math modeling instruction, a quantitative scheme to scale and calibrate the creativity was investigated and the assessment of math modeling activity was suggested for practical purposes.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.93-113
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• 2017

This research analyzed the cases of math competencies-oriented assessment, integrating assessment and instruction, which had been conducted in an elementary school whose assessment system involves frequent tests from a formative perspective on assessment. The research outcome is as follows: First, the competencies-oriented assessment of integrating instruction made possible for curriculum restructuring and competencies-oriented teaching, whereas more emphasis needs to be focused on the assessment feedback. Second, assessment on math competencies involves multiple dimensions; therefore, it needs to be managed to prevent problems arising due to overlap between different competencies. Third, though it has been identified that with evaluation it is possible to recognize and gradually improve the areas short of competency, more practical studies need to be conducted in this regard. Fourth, even with the fact that various types of evaluation ensure its fairness, make an accurate interpretation of the evaluation result before arriving at a comprehensive assessment.

• East Asian mathematical journal
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• v.35 no.4
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• pp.387-406
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• 2019

The Korea Foundation for the Advancement of Science and Creativity(KOFAC) developed AlgeoMath, a dynamic geometry software, with support from the Ministry of Education and 17 municipal and provincial education offices. Starting Nov. 7, 2018, AlgeoMath can be used for free by anyone. This study summarizes various discussions on the future direction of math education. The four aspects of the curriculum, textbook, teaching and learning, and assessment were explored on how AlgeoMath could contribute in realizing the future direction of math education. We confirmed that AlgeoMath can faithfully fulfill its role as a tool for changing math education, and we looked at what should be emphasized more and what should be complemented.

• The Mathematical Education
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• v.37 no.1
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• pp.15-33
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• 1998

The purpose of this paper is to investigate a characteristic of the assessment of high school math and to introduce an algorithm for school teachers to perform the achievment tests for math in classrooms. Moreover, we introduce a system of objectives which will be appropriate for math in the situation of Korea and illustrate our approach via '96 High School Achievment Test held by Korea National Board of Educational Evaluation.