• 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.

• Education of Primary School Mathematics
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• v.5 no.1
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• pp.21-39
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• 2001

This study is to develop assessment framework, test items and questionnaire for the National Assessment of Educational Achievement(NAEA), which administered in the elementary and secondary schools across the country in this year(2000). According to the first year study result of the NAEA, the test was administered in two core subjects, Mathematics and Social Studies. In this study, test items and sets of questionnaire and administered pretest were developed in the last year. In this year, the NAEA was administered with the adjusted test items and questionnaires and the results was analyzed and would be reported to the public. NAEA was developed on the basis of national curriculum, especially of the nature and objectives of subject curriculum in Mathematics (and also Social Studies). In the framework of assessment, we set up four differentiated levels of student achievement:‘under basic’,‘basic’,‘intermediary’, and ‘advanced’. Here ‘the intermediary level’means the level of educational achievement in which students can understand average content of subject curriculum. ‘Advanced level ’indicates the level of educational achievement in which students master all the content of subject curriculum and apply basic concepts and principles to a variety of situations. ‘The basic level’means the level of educational achievement in which students do not achieve the intermediary level. Students who do not understand average content of subject curriculum are classified as belonging to the basic level. Finally, this study would explain how to administer and analyze the test int he future. The test result was analyzed to report students’s educational achievement according to regions, content area, behavioral characteristics, and etc. This study would show how to report test results and how to set up student’s academic achievement.

• The Mathematical Education
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• v.63 no.1
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• pp.85-104
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• 2024

This study aims to analyze the mathematics items of the 2013-2024 elementary school teacher employment tests in order to identify the knowledge and characteristics required to teach mathematics, and discuss the future direction of improvement of the elementary school teacher employment tests. By using the revised analytical framework of TEDS-M, we found that the proportion of MCK and MPCK differed from year to year and MPCK was relatively dominant. We also observed that the items were heavily focused on particular knowledge domains, cognitive processes, and levels within MCK and MPCK, and a shortage of items desigend to asseess knowledge in the field of assessments and the ability to engage in higher-order thinking. The results from this study suggest the future direction of improvement of the elementary school teacher employment test to evaluate teacher knowledge and ability necessary in an increasingly diverse society.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.271-293
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• 2007

Mathematics workbook is developed according to the amendment of the 7th national curriculum of mathematics. This study polled 300 national mathematics teachers in the elementary school, middle school, and high school to find out what they think in conjunction with the introduction of mathematics workbook such as needs for mathematics workbook, teachers' recognition about the system of mathematics textbook and workbook which are proper for lesson of achievement level and organization of mathematics workbook before using the mathematics workbook in school. As a results, mathematics teachers want the introduction of workbook because it helps students' self-regulated learning of mathematics and it is material very valuable for teachers to give lessons of achievement level. Also, we suggest the organization and contents of mathematics workbook on the base of our survey. Mathematics workbook has a lot of exercises assessing into the upper, intermediate, lower level in the contents, concepts of mathematics learning. It has the items developed with various problem solving methods and emphasis on performance tests, an essay-type examination and a periodical assessment. It has the problem posing items and the corner that helps students revise their mathematical errors and proposes useful, interesting mathematical activities and the commentary of a correct answer to questions at the tail of the book.

• Journal for History of Mathematics
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• v.1 no.1
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• pp.14-32
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• 1984

The concepts of zero, minus, infinite, ideal point, etc. are not real existence, but are pure mathematical objects. These entities become mathematical objects through the process of a philosophical filtering. In this paper, the writer explores the relation between natural conditions of different cultures and philosophies, with its reference to fundamental philosophies and traditional mathematical patterns in major cultural zones. The main items treated in this paper are as follows: 1. Greek ontology and Euclidean geometry. 2. Chinese agnosticism and the concept of minus in the equations. 3. Transcendence in Hebrews and the concept of infinite in modern analysis. 4. The empty and zero in India.

• Communications of Mathematical Education
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• v.30 no.1
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• pp.101-120
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• 2016

The purposes of the study were to analyze pre-service mathematics teachers' MKT and to examine the perceptions of MKT to find implications for the improvement of pre-service mathematics teacher education program in the aspect of teachers' content knowledge. Twenty-six pre-service mathematics teachers participated in the survey to examine the perceptions of MKT and they also finished two MKT tasks which focused on a specific area of middle school geometry. According to the survey results, the participants thought that they have enough knowledge in all categories of MKT except KCT-2 and they appreciated the importance of MKT education in pre-service mathematics teacher education program. However, the participants showed difficulties in MKT task items which required SCK, KCS, KCT, especially, the proportions of those who showed appropriate knowledge on the items required SCK and KCT was less than 50%. These results show disagreement between the perceptions of pre-service mathematics teachers' MKT and practice of MKT.

• The Mathematical Education
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• v.58 no.3
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• pp.443-458
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• 2019

Mathematical modeling has been a crucial topic in mathematics education as students' problem solving competency are regarded as a core skill for future society. Despite of the importance of mathematical modeling in school mathematics, there have been very limited studies relating pre-service teachers' knowledge and perceptions on mathematical modeling. In this vein, this study aimed to investigate pe-service mathematics teachers' perceptions on mathematical model, mathematical modeling and educational use of mathematical modeling, and their relationships. The current study utilized a survey consisted of 18 items. The responses of 210 pre-service mathematics teachers to the survey items were quantitatively analyzed using descriptive statistics, analysis of variance, exploratory and confirmatory factor analysis, the structural equation model, and multi group analysis. The results of analysis of variance revealed that pre-service teachers in difference groups (majors, grades, and experiences with mathematical modeling) showed statistically significant differences in mean values. Moreover, according to the results from the structural equation modeling analysis, pre-service mathematics teachers' perceptions on mathematical model and modeling affected their perceptions on educational use of mathematical modeling. In addition, depending on their pre-experiences with mathematical modeling, pre-service teachers represented a different relationship between perceptions on mathematical modeling and educational use of mathematical modeling. Implications for future studies and mathematics classrooms were discussed.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.89-96
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• 1998

The purpose of this paper was to introduce 'The Third International Mathematics and Science Study'(TIMSS) to the mathematics education society in Korea, and to address current discussion about the TIMSS from the view of three Korean authors who are currently enrolled in an American university. This paper consisted of three parts: (1) The structure and organization of the TIMSS, (2) The analyses on test items from three populations of student groups, curricula and textbooks, questionnaires from students and teachers, video study, and case studies, (3) The discussion of various perspectives for mathematics education in Korea. The authors pointed out that the TIMSS was not just an international comparison study designed for ranking each of the 41 participating countries, but a study providing some insights for Korean mathematics education.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.313-327
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• 2014

Based on the importance and the necessity of the study on history of mathematics and mathemtics education using history of mathematics for finding the cultural identity and values of our traditional mathematics, we refer to two types of teaching and learning methods utilizing 'WonYongSamBangHoGu', the second theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. First, we present various cases of 'WonYongSamBangHoGu' constructed utilizing kind of mathematics learning software, GeoGebra by high school freshmen belonging to the Education Centers for the Gifted in Seoul Science Park. Second, We modernly reinterpret the questions contained in 'WonYongSamBangHoGu' and show several developed items using it.

• Research in Mathematical Education
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• v.24 no.2
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• pp.69-82
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• 2021

The purpose of this study is to explore how mathematics educators understand the terms having lexical ambiguity. Five terms with lexical ambiguity, leave, times, high, continuous, and convergent were selected based on literature review and recommendations of college calculus instructors. The participants consisted of four mathematics educators at a large Midwestern university. The qualitative data were collected from open-ended items in the survey. As a result of analysis, I provided participants' sentences with five terms showing their understanding of each term. The data analysis revealed that mathematics educators were not able to separate the meanings of the words such as leave and high when these words are frequently used in daily life, and the meanings in mathematics context are similar with that in daily context. Lexical ambiguity shown by mathematics educators can help mathematics teachers to understand the terms with lexical ambiguity and improve their instructions when those terms should be found in students' conversations.