• School Mathematics
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• v.10 no.2
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• pp.259-277
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• 2008

Conventional assessments only provide a single summary score that indicates the overall performance level or achievement level of a student in a single learning area. For assessments to be more effective, test should provide useful diagnostic information in addition to single overall scores. Cognitive diagnosis modeling provides useful information by estimating individual knowledge states by assessing whether an examinee has mastered specific attributes measured by the test(Embretson, 1990; DiBello, Stout, & Rousses, 1995; Tatsuoka, 1995). Attributes are skills or cognitive processes that are required to perform correctly on a particular item. By the results of this study, students, parents, and teachers would be able to see where a student stands with respect to mastering the attributes. Such information could be used to guide the learner and teacher toward areas requiring more study. By being able to assess where they stand in regard to the attributes that compose an item, students can plan a more effective learning path to be desired proficiency levels. It would be very helpful to the examinee if score reports can provide the scale scores as well as the skill profiles. While the scale scores are believed to provide students' math ability by reporting only one score point, the skill profiles can offer a skill level of strong, weak or mixed for each student for each skill.

• Journal for History of Mathematics
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• v.21 no.4
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• pp.19-48
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• 2008

In this paper, the life of Emmy Noether is reviewed in context of today's society where progress in social and educational equality for women have not significantly impacted the participation of women mathematician at the highest level of mathematics study. Recent studies have shown that there is little or no gender difference in mathematics performance if the women are treated equally in the country. Yet, the number of women scientists/mathematicians at the university level or related research centers are very low for all countries including the U.S. as well as Korea. Emmy Noether became a mathematician in early 20th century Germany where women were discouraged(not allowed) from even studying mathematics at the University. She overcame gender, racial, and social prejudices of the time to become one of the greatest mathematicians of the 20th century as a founding contributor of Abstract Algebra. Overcoming all the difficulties to focus on the study of mathematics to contribute at the highest level of mathematics provides an example of leadership for both men and women that is relevant today. Especially for women, Emmy Noether's life is a study in perseverance for the love of mathematics that proves that there is no gender difference even at the highest level of mathematics.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.353-371
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• 2013

The purpose of this study is to investigate preservice secondary teachers' understanding and modification capacity of tasks from mathematics textbooks. This study conducted a survey about how preservice teachers understand the features of mathematical tasks and how they would select and modify tasks appropriately from the curriculum and for lesson goals. The findings from the analysis suggest that the preservice teachers seem to recognize Procedures Without Connections tasks as the high-level tasks. Further, 43 percent of the total numbers appropriately selected the tasks from the curriculum and for lesson goals. Most of the preservice teachers appear to find it difficult to modify low-level tasks into high-level tasks.

• The Mathematical Education
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• v.47 no.1
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• pp.11-25
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• 2008

The characteristics of the pseudo-conceptual or the pseudo-analytical behaviors according to the achievement level(i.e. advanced group, proficient group, basic group, and below-basic group) in grade 9 are as follows. The pseudo-conceptual or pseudo-analytical behaviors to get credit from teachers become conspicuous in lower achievement level. The high achieving students showed more pseudo-conceptual or pseudo-analytical behaviors without undergoing the process of reflection or control. The proficient group was short of control in computation, and the advanced group didn't control well in representation. The proficient group tended to depend on a past successful algorithm and behave habitually. Therefore, it is needed to teach mathematics according to the characteristic of pseudo-conceptual or pseudo-analytic behaviors shown in each achievement level.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.1-21
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• 2019

Mathematics is one of the subjects in which learners seriously experience under-achievements in school education. Middle school level mathematics especially plays such a role as a bridge between elementary level informal mathematics and high school level formal mathematics that learners' under-achievements in the middle school level mathematics may yield more serious under-achievements later. Therefore it is crucial to prevent learners' later under-achievements that we analyze the status of under achievements including analysing various under-achievers' errors in the middle school level mathematics. From this point of view, we analysed errors of mathematics under-achievers in understanding the concept of the square root of positive numbers and related calculations in this paper. As the results of our research, we found some unexpected errors of 'some mathematics under-achievers regarding the mathematical symbol ${\surd}$ of square root as a parenthesis ( ), and others interpret $x=-2{\pm}{\sqrt{10}}$ as x=-2 or ${\pm}{\sqrt{10}}$.' that suggest the necessity of more various and in-depth discussions and researches of analysis on learners' errors and misconceptions in all areas of school mathematics.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.15-28
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• 2012

In order to study the relation between self-directed learning readiness and mathematical inclination, we survey the adjusted SDLRS(self-directed learning readiness scale) of Guglielmino's model and the mathematical inclination, the recognition of mathematics for 2011 year engineering freshmen in D university. Research results are as follows: First of all, middle level engineering freshmen showed average level of self-directed learning readiness, and they had lower level of motivation, passion and time management skill. The relation of SDLR and the mathematical inclination was strong. Furthermore, SDLR and the recognition of mathematics in engineering freshmen was found to be the most closely related. Based on the results of the study, we suggest to study of strategies to elevate SDLR of engineering students and improve their achievement in college mathematics. Especially, we suggest that college mathematics for engineering freshmen must be focused on the improvement of SDLR.

• The Mathematical Education
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• v.58 no.2
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• pp.263-282
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• 2019

The purpose of this study is to analyze the implementation of 2015 revised mathematics curriculum. This study focused on issues raised from the implementation. The teaching-learning methods for enhancing mathematical competencies, the amount and difficulty of mathematics in the 1st and 2nd grade, the level of vocabulary and sentence for students in the textbooks, and the support for successful implementation of the curriculum were collected and analyzed through questionnaires and interviews. As a result of the research, most of the teachers tried to improve the teaching and learning method considering mathematical competencies, but had difficulty in connecting contents and competencies. They also recognized that the amount and difficulty in the 1st and 2nd grade math, and the level of vocabulary and sentences presented in math textbooks were generally appropriate. However, they pointed out that the textbooks were over-emphasized in various ways out of basic calculation methods, and that the long sentences, which are not easy to read and understand by students who are not familiar with reading Korean, are included in the . They recognised that there is a large difference in level of reading Korean and understanding math among students. So we suggest that more active support is needed for the students who are learning slowly and the students who are having difficulty in reading Korean.

• Education of Primary School Mathematics
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• v.26 no.2
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• pp.115-124
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• 2023

This study aimed to investigate elementary school teachers' interest in mathematics textbooks following the new change in the publication system for elementary mathematics textbooks. To achieve this, an online survey platform was used to conduct a survey of elementary school teachers in teaching grade 3-4 across the country, and the responses of 199 participants were analyzed to determine their interest in mathematics textbooks. The research results showed that elementary school teachers had high levels of interest in mathematics textbooks, particularly in informational and personal interest. Moreover, the stages at which teachers showed the highest level of interest were reinforcement interest and operational interest. Analysis of the differences in interest in mathematics textbooks based on personal variables showed significant differences depending on the teacher's experience in mathematics education training, satisfaction with mathematics textbooks, and whether they majored in mathematics education. Based on these findings, it can be inferred that elementary school teachers have a high level of informational interest in the characteristics, strengths, weaknesses, and materials related to authorized and approved mathematics textbooks, and their high level of personal interest in mathematics textbooks can have a positive effect in line with the goal of the new textbook system. Additionally, since many teachers showed a high level of interest in reinforcement interest, it is necessary to devise various ways to support teachers' creative use and reconstruction of mathematics textbooks.

• The Mathematical Education
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• v.51 no.4
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• pp.351-375
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• 2012

This research is a case study of the changes of students's problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl's high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students's describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.435-455
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• 2015

This study is aimed at analyzing the level change and features of mathematical communication in elementary students' expository writing. 20 students of 5th graders of elementary school in Seoul were given expository writing activity for 14 lessons and their worksheets was analyzed through four categories; the accuracy of the mathematical language, logicality of process and results, specificity of content, achieving the reader-oriented. This study reached the following results. First, The level of expository writing about concepts and principles was gradually improved. But the level of expository writing about problem solving process is not same. Middle class level was lower than early class, and showed a high variation in end class again. Second, features of mathematical communication in expository writing were solidity of knowledge through a mathematical language, elaboration of logic based on the writing, value of the thinking process to reach a result, the clarification of the content to deliver himself and the reader. Therefore, this study has obtained the conclusion that expository writing is worth keeping the students' thinking process and can improve the mathematical communication skills.