• The Mathematical Education
• /
• v.56 no.4
• /
• pp.407-434
• /
• 2017

The purpose of this study is to develop and verify the TPACK measurement tool for middle and high school mathematics teachers in the Korean context. Also, by clarifying the relationship between subordinate factors of Mathematics teachers' TPACK, an attempt was made to provide suggestions on the designs and directions for the in-service and pre-service teacher education and the programs for improving mathematics teachers' TPACK in the future. In order to achieve this goal, TPACK factors of mathematics teachers were extracted by reviewing literature on PCK, MKT, and TPACK. Then, content validity, basic statistical survey, reliability verification, exploratory factor analysis, confirmatory factor analysis, and structural equation model verification were conducted sequentially. At first, preliminary analysis was carried out on 79 mathematics teachers, and 76 items excluding the items with extreme value and reliability were included in the basic statistical analysis. And secondly, an exploratory factor analysis was conducted on 376 mathematics teachers, and this instrument consisted of 7 subordinate factors(CK, PK, TK, PCK, TCK, TPK, TPACK) and 61 items. Also by conducting confirmatory factor analysis and structural equation model test with 254 mathematics teachers, the measurement tool was confirmed the validity and reliability through statistically significant analysis. Then, the importance of integrated knowledge was confirmed by looking at the relationship between the TPACK factors of in-service mathematics teachers. The integrated knowledge(PCK, TCK, TPK) has played a crucial role in the formation of TPACK rather than the knowledge of CK, PK, and TK alone. Finally, the validity of TCK was confirmed through the structural equation modeling of TPACK. TCK not only directly affected TPACK, but also indirectly through TPK. According to these affirmative results, this measurement tool is claimed to be suitable for measuring the factors of Mathematics teachers' TPACK, and also the structural equation model can be regarded as a suitable model for analyzing the structural relationship of mathematics teachers' TPACK.

• Journal of the Korean School Mathematics Society
• /
• v.26 no.2
• /
• pp.159-184
• /
• 2023

In this study, after defining motivating efficacy operationally, we developed a draft of the Motivating Efficacy Scale for Mathematics Teachers (MESMT), a measure of mathematics teachers' motivating efficacy, through the literature review and an expert Delphi survey, and conducted the exploratory factor analysis using online survey responses from 347 elementary and secondary mathematics teachers across the country to explore the factor structure of the measure and to test its validity and reliability. The exploratory factor analysis resulted in the deletion of 17 items from the initial 42 items developed through the literature review and expert Delphi survey and the identification of four factors (Providing successful experiences, Eliciting attention and engagement, Creating mathematics case-based relevance, and Providing extrinsic rewards), resulting in a final MESMT of 25 items. The MESMT developed in this study is a valid and reliable measure of mathematics teachers' motivating efficacy, and is expected to serve as a starting point for many subsequent studies to understand mathematics teachers' motivating efficacy and improve mathematics teachers' ability to motivate students' mathematics learning.

• Journal of the Korean School Mathematics Society
• /
• v.20 no.4
• /
• pp.387-404
• /
• 2017

In this paper, in the last 4 years(2014~2017 school year), we classified the probability and statistical items based on the evaluation scope of the mathematics subject content knowledge which were presented by the Korea Institute for Curriculum and Evaluation, and the classified items were analyzed. As a result, First, in order to induce normalization of the probability and statistical curriculum, four assessment field should be evenly distributed. Second, integrated thinking and comprehensive analytical thinking assessment is required. Third, item an epilogue should be used to measure mathematical thinking and logical competence. Fourth, the ratio of the number of items in probability and statistics to the number of that was 7.7%~10.0%, and the ratio according to the item weighting was 5.0%~7.5%. Fifth, it maintains the policy of stabilizing a good the level of difficulty of the items. Finally, probability and statistical assessment should focus on measuring problem solving ability from an inductive point of view.

• Journal for History of Mathematics
• /
• v.25 no.2
• /
• pp.97-111
• /
• 2012

This paper aims to identify the area of knowledge required for constructing test items by comparing the consulting contents with the area of MKT(Mathematical Knowledge for Teaching). This paper collects the consulting results by the consulting group of A provincial office of education from 2007 to 2009, and analyzes and categorizes the results. The knowledge for constructing test items are known by the analysis on the consulting contents. Training and consulting for teachers are necessary to enable them to recognize the importance of these categories and improve the quality of test items.

• Journal of the Korean School Mathematics Society
• /
• v.24 no.4
• /
• pp.407-428
• /
• 2021

This study compares and analyzes the mathematics assessment items of the middle school's national-level academic achievement tests in Korea and Japan, recently revised as a competency-focused curriculum. By comparing and analyzing the assessment items in each country, the analytic framework is integrated into content areas, contexts, and competencies. The characteristics of each country's assessment items developed for each content area were analyzed using the framework. We suggested some implications on developing and improving national-level academic assessment items.

• East Asian mathematical journal
• /
• v.34 no.2
• /
• pp.177-189
• /
• 2018

Recently, Topological Data Analysis (TDA) has attracted attention among various techniques for analyzing big data. Mapper algorithm, which is one of TDA techniques, is used to visualize the cluster diagram. In this study, students were clustered according to the characteristics and degree of mathematics anxiety using a mapper, and students were visualized according to mathematics anxiety. In order to do this, Mathematical Anxiety Scale (Ko & Yi, 2011) in the aspect of mathematical instability in terms of teaching - learning, ie, Nature of Mathematics, Learning Strategy, Test/Performance is used. And the number of questions that measure the anxiety of mathematics can be extracted by extracting the most relevant items among the items that measure the anxiety of mathematics.

• School Mathematics
• /
• v.13 no.1
• /
• pp.1-17
• /
• 2011

This study investigated the Chinese national university entrance examination (Gaokao) in mathematics administered in 2009 and 2010 to draw out some implications on the College Scholastic Ability Test (CSAT) in mathematics of Korea. To evaluate the attainments of basic mathematical skills and multilateral abilities required for further studies in university, the Gaokao mathematics is set in two forms(Art/Science), based on the Chinese national mathematics curriculum. The types of items in the Gaokao mathematics are multiple-choice, single-answer, and write-out-answer. The mathematical abilities that the Gaokao mathematics evaluates are mathematical reasoning, operation, geometrical imagination, application, and creativity. As a result, some implications on the Korean CSAT are drawn out in terms of the level of difficulty, the types of items, the arrangements, and the scores of items.

• Journal of Educational Research in Mathematics
• /
• v.27 no.4
• /
• pp.679-700
• /
• 2017

In this study, revisions of university entrance exams of mathematics in the UK, Australia and Japan are investigated. In the UK, A-level mathematics are revised to harmonize pure and applied mathematics so that the subjects and contents of each test are adjusted, and new types of items are announced. NSW university entrance exams in Australia are being revised in line with the Stronger Higher School Certificate policy, which basically reinforces mathematics. In Japan, as part of the educational reforms that link high schools and universities, current exams of National Center for University Entrance Examinations are abolished and Common Test for University Entrance is introduced. Mathematics of new test emphasizes comprehension, judgement and expression with new items and short-answer questions. Based on the case of the UK, Australia and Japan, this study discussed improvement of mathematics test in the Collage Scholastic Ability Test (CSAT) Korea in terms of objects and characteristics of test, systems and types of items. and support from academia.

• The Mathematical Education
• /
• v.53 no.2
• /
• pp.219-237
• /
• 2014

In this study we desire to deduce implications for mathematics curriculum, teaching- learning, and evaluation from the data of Nation Assessment of Educational Achievement. For this, first we extracted the items written by the same achievement standard over two years from 2010 to 2012. Next we investigated whether the items are the representative items of a certain proficiency level and classified into the case of the items of the same proficiency level and the case of the items of different proficiency levels. Based on these we analysed learning characteristic of the each proficiency level. From the results of the above, we proposed what should be changed in mathematics curriculum, what should be considered in teaching-learning, and what should be paid attention to test item development.

• The Mathematical Education
• /
• v.55 no.4
• /
• pp.523-538
• /
• 2016

The purpose of this study is to explore the secondary mathematics teachers' technology integration self-efficacy with respect to geometry classes which they had experienced during last 1 year, 2015. For this study, we developed and validated the questionnaires based on TPACK framework in secondary geometry context. The questionnaires contained 28 items examining the secondary mathematics teachers' TPACK. We conducted the item analysis with 28 items and then the exploring factor analysis. As a result, 28 items was categorized into 5 constructs, TPCK, TCK, TK, PCK, PK, different from Mishra and Koehler's categorization. We analyzed the secondary mathematics teachers' technology integration self-efficacy with respect to geometry classes based on 5 TPACK constructs. The results indicated that there were no significant differences in technology integration self-efficacy according to gender. But technology integration self-efficacy according to the years of teaching experience differed significantly. The more years of teaching experiences teachers have, the lower level of TPCK and TK they have and the more years of teaching experiences teachers have, the higher level of PCK they have. The results also showed that there ware significant difference in TPCK according to the existence and non-existence of taking the technology courses during the time at university. Furthermore, we provide the implication for the professional preparation program for the mathematics teachers in middle schools.