• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.443-465
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• 2016

The study aims to compare our newest mathematics curriculum with Singapore's and analyse the differences of them. Because the levels of our mathematics education have been evaluated to be difficult to our students, we try to find that the evaluation is appropriate and there are other characteristics we have to notice carefully, and provide some implications for our mathematics curriculum. We mainly compared both mathematics curriculums focussed on the national documents of mathematics curriculum, and textbooks in the level of middle school. The results are following. Firstly, Singapore has three tracks based on students' abilities and there are three kinds of textbooks on the tracks. This is a different from our teaching on students level. Secondly, the introductions of our mathematics curriculum contents are not faster than Singapore's, but they have more concrete ranges of contents than us. Thirdly, the focus of Singapore's mathematics education lies on problem solving, and we can find some good examples of contents of textbook focussed on problem solving. Some mathematical concepts are introduced simply without any process of students discoveries or investigations, and the focus lies on the problem solving using the concepts. Fourthly, Singapore's mathematics textbooks are more emphasis on the internal connections than ours.

• 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.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.75-94
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• 2013

As part of the education in the pursuit of equity, in this study, we have analyzed the differential item functioning on mathematics assessment through the result of 2011 National Assessment Educational Achievement. For this we used SIBTEST method and M-H method to extract differential item functioning on multicultural and North Korea migrant families students. As a result, 10 items that has the differential functioning were extracted by both methods in three school levels from Elementary, Middle and High School. The result of a exploratory for potential causes of differential functioning on multicultural and North Korea migrant families students through a qualitative analysis of each items that has been extracted, language ability, the complexity of computation and problem-solving process, the curriculum, the problem situation have been discussed. These results will be able to contribute to establishing education policy and designing teaching and learning methods for the multicultural and North Korea migrant families students.

• The Mathematical Education
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• v.61 no.2
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• pp.221-237
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• 2022

This study investigated teachers' decision-making and related factors in the elementary textbook adoption process. Our participants include 296 elementary teachers who took part in the mathematics textbook (grades 3 and 4) adoption committees in his/her schools. Our study used the decision-making model of Shavelson and Stern (1981) for analyzing teacher beliefs and attitudes concerning choices and priorities, judgments, evaluation methods, and key factors to reviewing and selecting a mathematics textbook. Our discussion includes teacher beliefs and intentions and the way they come into conflict with determinant factors that influence the decision-making of textbook adoption. Findings also reveal the unique nature of elementary school teaching as generalists in contrast with secondary teachers as specialists, playing a significant role in the adoption process. Lastly, the study discusses the entanglements of textbook reform and explains the discrepancy between textbook authorization/approval policies versus the plight of little change (and innovation) in mathematics textbooks.

• Journal of The Korean Association For Science Education
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• v.22 no.3
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• pp.649-659
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• 2002

The purpose of this study was to analyse students' achievement of 'Earth Science' in the Third International Mathematics and Science Study-Repeat(TIMSS-R), which was performed in 1999 with 38 nations participating. Korean 8th grade students' achievement of 'Earth Science' was compared with those of other countries and other content areas in science. Average percent correct of items in each subcategory was also analysed. Most of the 'Earth Science' topics were included in the intended curricula of Korea; they were taught to most of the students in science classes. Korean students ' average scale score of 'Earth Science' was significantly higher than the international average, but in comparison with other science content areas, achievement of 'Earth Science' was relatively low. The teachers' confidence in teaching earth science was lower than their confidence in teaching other science areas. The paper presents the results of item analysis and their implications for science education.

• School Mathematics
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• v.19 no.1
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• pp.19-41
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• 2017

The purpose of this article was to a) identify how preservice teachers conceive feedbacks and subsequent classroom discourses, and b) compare them with those in reform-oriented mathematics classroom video for mathematics teachers' professional development about classroom discourse. This article analyzes feedback patterns and subsequent classroom discourses in preservice teachers' imaginary classroom scripts (lesson plays) and compares them with those in the reform-oriented classroom video dealing with the same teaching situation. Most of the preservice teachers' feedbacks focused the evaluation of students' responses and transmission of meaning (univocal function), whereas the teacher's feedback in the reform-oriented classroom allowed the whole class to validate or challenge the answers, thereby facilitating students' generation of meaning (dialogic function). The comparison analysis between the univocal discourse in a preservice teacher's lesson play and the dialogical discourse in the reform-oriented classroom video shows that teacher feedback serves as an important indicator for the main function of classroom discourse and the levels of students' cognitive participation, and also as a variable that determines and changes them. This case study suggests that to improve the quality of classroom discourse, preservice and in-service teachers need experience of perceiving the variety of feedback patterns available in specific teaching contexts and exploring ways to balance the univocal and dialogical functioning in their feedback move during the teacher training courses.

• The Mathematical Education
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• v.63 no.2
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• pp.165-186
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• 2024

Despite the growing attention on artificial intelligence-based automated scoring technology as a support method for the introduction of descriptive items in school environments and large-scale assessments, there is a noticeable lack of foundational research in mathematics compared to other subjects. This study developed an automated scoring model for two descriptive items in first-year middle school mathematics using the Random Forest algorithm, evaluated its performance, and explored ways to enhance this performance. The accuracy of the final models for the two items was found to be between 0.95 to 1.00 and 0.73 to 0.89, respectively, which is relatively high compared to automated scoring models in other subjects. We discovered that the strategic selection of the number of evaluation categories, taking into account the amount of data, is crucial for the effective development and performance of automated scoring models. Additionally, text preprocessing by mathematics education experts proved effective in improving both the performance and interpretability of the automated scoring model. Selecting a vectorization method that matches the characteristics of the items and data was identified as one way to enhance model performance. Furthermore, we confirmed that oversampling is a useful method to supplement performance in situations where practical limitations hinder balanced data collection. To enhance educational utility, further research is needed on how to utilize feature importance derived from the Random Forest-based automated scoring model to generate useful information for teaching and learning, such as feedback. This study is significant as foundational research in the field of mathematics descriptive automatic scoring, and there is a need for various subsequent studies through close collaboration between AI experts and math education experts.

• School Mathematics
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• v.10 no.4
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• pp.583-601
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• 2008

The creative productivity is regarded as an essential factor to perform the gifted education. While it is very important to cultivate and to expand a creative productivity through mathematically problem solving in gifted education, we have difficulties in actual education of the (mathematically) gifted, even are there few researches/studies which deal with teaching and guiding the creative problem solving in mathematically gifted education, it is hard to find a guideline that provides proper ways (or directions) of learning-instruction and evaluation of the mathematically gifted. Therefore in this study, the researcher would provide a learning-instruction model to expand a creative productivity. The learning-instruction model which makes the creative productivity expanded in mathematically gifted education is developed and named MG-CPS(Mathematically Gifted-Creative Problem Solving). Since it reflected characteristics of academic- mathematical creativity and higher thinking level of the mathematically gifted, this model is distinguished from general CPS. So this model is proper to provide a learning experience and instruction to the mathematically gifted.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.15-30
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• 1999

For the purpose of turning learners' locus of control into internal-controllable variables, counseling materials were developed, and attribution counseling was given. The counseling effects were practically confirmed by way of teaching and evaluation in the actual classes, and furthermore the efforts to provide learners with successful experiences in learning were repeatedly made. As a result, the conclusions are as follows: 1. The procedure of Individual counseling for learning attribution based on individual standard grades and data of the variable order of merit apparently shows learners that if learners are to try their best in learning, they will surely go far in terms of learning in the near future. 2. The procedure of Individual counseling for teaming attribution based on achievement distribution in individual behavior-oriented fields suggests to learners that how to learn is as important as how much effort they make. Surely enough, learners are required to make more effective and efficient efforts, considering their own learning abilities. 3. With the above 1, 2 procedures involved, learners have attributed locus of causality in achievement to their internal-controllable causes. 4. With preparatory assignments according to learner's abilities provided, even slower learners came to be assured that their constant efforts could give rise to success in learning achievement. 5. Above all, it was confirmed that the learners' struggling attitude might well have a significant correlation with achievement success. The learners who are willing to attribute locus of causality in achievement to their internal-controllable causes or strenuous efforts and intrinsic motivation tend to be convinced that they can address themselves to whatever faces them, so they can set up specific learning goals fit for their abilities. Accordingly, they will bit by bit acquire successful experiences (often called 'Aha' experiences) and in turn, feeling the senses of self-efficacy and self-esteem enough to push their efforts even further, they can grow to form a positive self-concept. With one successful experience after another fed back into learners, they are gradually motivated to bring the oncoming achievement expectation to a higher level. To conclude, it is necessary that instruction leading to internal-controllable attribution should be provided, inducing learners to recognize success and failure in learning achievement as a result of their strenuous efforts.

• Journal of the Korean School Mathematics Society
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• v.25 no.4
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• pp.307-332
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• 2022

This action research was carried out to help students learn fractions computation by making and using semi-concrete fraction manipulatives that can be used continuously in math classes. For this purpose, the researcher and students made semi-concrete fraction manipulatives and learned how to use these through reviewing the previously learned fraction contents over 4 class sessions. Afterward, through the 14 classes (7 classes for learning to reduce fractions and to a common denominator, 7 classes for adding and subtracting fractions with different denominators) in which the principle inquiry learning model was applied, students actively engaged in learning activities with fraction manipulatives and explored the principles underneath the manipulations of fraction manipulatives. Students could represent various fractions using fraction manipulatives and solve fraction computation problems using them. The achievement evaluation after class found that the students could connect the semi-concrete fraction manipulatives with fraction representation and symbolic formulas. Moreover, the students showed interest and confidence in mathematics through the classes using fraction manipulatives.