• Title/Summary/Keyword: mathematics items

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Development and Implementation of STEM -Identification of Mathematics Teachers' Beliefs- (융합 프로그램의 개발과 적용 -수학 교사의 신념을 중심으로-)

  • Noh, Jihwa
    • East Asian mathematical journal
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    • v.39 no.4
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    • pp.377-392
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    • 2023
  • The purpose of this research was to investigate mathematics teachers' beliefs regarding the implementation of STEM approaches in secondary school mathematics classes and to identify the factors influencing their beliefs. A survey on teachers' beliefs about applying STEM in mathematics classes was developed and distributed online to mathematics teachers from middle and high schools in two metropolitan areas. Eighty-two surveys were returned from the teachers. Factor analysis revealed that the items were distributed among five main aspects. The findings indicated that most teachers believed in the necessity of implementing STEM education. However, some teachers expressed concerns about the effectiveness of implementation due to the lack of materials, resources, and equipment needed for STEM implementation.

A Study of Teaching-Learning Method Using Real Objects and Development of Materials for Student Evaluation - Focused on 1st Grade Middle School Students - (구체적 조작물을 활용한 교수-학습과 평가자료 개발에 관한 연구)

  • 고혜정;김승동
    • Journal of the Korean School Mathematics Society
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    • v.5 no.2
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    • pp.1-15
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    • 2002
  • The purpose of this study came to start to be helpful in that the teachers in field produced evaluation subject about the mathematics and applied by analyzing the performance capacity for the students about the subject developed through the application of subject about the teaching-learning model that can utilize the learners' learning experience and the development of items that can evaluate it by utilizing various and concrete operational materials as an object of the first year at the middle schools. The concrete purpose of realizing it is as follows. 1. This study is to develop the teaching-learning model centered on activities adequate to utilize various and concrete operational materials. 2. This study is to develop evaluation data for utilizing the concrete operational materials by making construction through the application of developed teaching-learning model as possible. 3. This study is to present standards initiative for reliable and fair marking about the evaluation data and to analyze the students' practice capacity by using it effectively. For accomplishing the purpose of this research, this study is the work-oriented teaching and learning model using learning data that can be easily found around the surroundings and 8 evaluation programs in order that the experience-oriented learning based on circumstances learning among the learning models of constructivism. Also, it is to examine the result after applying that on a basis of 25 students, consisted of only on class in a year, in the first year at the small size of agricultural middle schools. The result of this study from this research is as follows. First, as a result of frequency survey, of response about the developed evaluation data it showed positive response more than 80% of all the items. The atmosphere of self-directed learning was produced because the developed evaluation data could induce activity-based learning naturally by stimulating the students' curiosity and promoting interest. Second, this study executed t-test for the result of questionnaire about the mathematics propensity, and there were significant differences in 19 items among 25 items. It presented that the application of data about the teaching-learning and evaluation directly using concrete operational materials to the constructional learning by level might have desirable affect on the students' mathematical propensity. It came to be a motive that could increase value recognition and interest on the subject of mathematics by investigating a mathematical principle rule and confirming it through activity learning using the concrete operational materials.

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Development of Mathematics Listening Ability Surveys for Elementary School Students (초등학생의 수학 청해력 측정 도구 개발 연구)

  • Kim, Rina
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.1-19
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    • 2023
  • Mathematics Listening Ability(MLA) refers to the ability to listen to and grasp the meaning of speech language containing mathematical concepts and principles, distinguishing it from daily life and listening in other subject classes. According to literature, MLA might be divided into six types. Among them, interpretation, discovering, evaluating, and evaluation may indicate an attitude that correctly listens to the meaning of the language used in mathematics classes. On the other hand, selective, pretend, and ignore are types of listening attitudes that are not appropriate. Based on the statistical analysis of 834 3rd to 6th graders and a total of 44 homeroom teachers I developed a MLA survey items for elementary school students. In this study, principal component analysis was conducted to verify reliability in the development of survey items, and expert review and correlation analysis of survey results were conducted to verify validity. In addition, the validity was verified by statistically analyzing the survey results of students and their homeroom teachers. Based on literature and statistical analysis, I developed a MLA Survey items(for students) consisting of 25 questions and a mathematical resolution measurement tool(for teachers) consisting of 26 questions.

Automatic scoring of mathematics descriptive assessment using random forest algorithm (랜덤 포레스트 알고리즘을 활용한 수학 서술형 자동 채점)

  • Inyong Choi;Hwa Kyung Kim;In Woo Chung;Min Ho Song
    • 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.

Elementary and Secondary School Teachers' Perspectives of Effective Mathematics Teaching

  • PANG, JeongSuk;KWON, Mi Sun
    • Research in Mathematical Education
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    • v.19 no.2
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    • pp.141-153
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    • 2015
  • This paper compares and contrasts the perspectives of effective mathematics teaching by 135 elementary school teachers, 132 middle school teachers, and 124 high school teachers using a questionnaire in South Korea. All groups of teachers chose in common the teaching and learning strand as the most important for effective mathematics instruction. However, elementary school teachers placed greater importance on the curriculum and content strand than their counterparts did. Elementary school teachers tended to agree more upon the 48 items related to good mathematics teaching than their counterparts did. The similarities and differences among the groups of teachers are expected to provoke discussion of what constitutes high-quality mathematics instruction and how such perspectives may be situated in the socio-cultural context.

Development and Validation of Mathematics Teaching Efficacy Scale for South Korean Elementary Teachers (초등학교 교사의 수학 교수 효능감 측정 도구 개발 연구)

  • Kim, Rina;Sihn, Hang Gyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.3
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    • pp.443-460
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    • 2017
  • The aim of this study was to develop and validate a mathematics teaching efficacy scale for South Korean Elementary Teachers. The sample was consisted of 300 elementary teachers in South Korea. A total of 13 items were developed and examined for internal consistence. The results of this study showed that the proposed scale was appropriate to represent mathematics teaching efficacy of elementary teachers.

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A Study on Mathematics Assessment using CAS (CAS를 활용한 평가 문항에 대한 고찰)

  • Son, Hong Chan
    • Journal of the Korean School Mathematics Society
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    • v.22 no.1
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    • pp.81-94
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    • 2019
  • The purpose of this study is to investigate the meaning of CAS(Computer Algebra System) using in mathematics teaching and learning, and the change of the theory of mathematics teaching and learning caused by introduction of CAS. Especially, when CAS was introduced, some categories of assessment items were examined, and alternative assessment directions were presented and the implications of them were discussed.

The Effectiveness of the Training Program to Improve Mathematics Teachers' Professional Competency of Developing Assessment Instrument (현직 수학교사 문항 개발 연수의 평가도구 개발 전문성 향상 효과)

  • Choi, Jiseon
    • Journal of Educational Research in Mathematics
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    • v.24 no.2
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    • pp.253-267
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    • 2014
  • This study aims to analyse the effectiveness of the mathematics teacher's training program: whether the training program is effective to improve mathematics teachers' professional competency of the developing assessment instrument (including items) or not. The teachers who were attendee of the program did pre-test before the program and post-test after the program. They wrote the opinions on the pre-developed items which had many errors in the beginning and discussed their opinions each others in the middle of program. The differences between pre-test and post-test and between opinions in the beginning and in the middle were analysed. The first result of the study is that the teacher's professional competency which is evaluated as self-perceived points is improved with regard to understanding the standardized test, item difficulty and item discrimination. Secondly, the proportion of the opinion with concrete reasons is increased as the program progressed. Thirdly, the effective elements of the program are the discussion in the group, discussion between groups, and feedback from the instructor. But the ineffective element of the program is the insufficient time for practicing.

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A Study on Improvement Methods in Mathematics by Comparing Examinations in Mathematics in the College Scholastic Ability Test at a Nationwide Level in Korea, China, America, and Japan (한, 중, 미, 일의 전국단위 대학입학시험 수학과 출제체제 비교를 통한 수리 영역 개선 방안 연구)

  • Jo, Yun-Done;Nam, Jin-Young;Ko, Ho-Kyoung
    • School Mathematics
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    • v.11 no.4
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    • pp.547-565
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    • 2009
  • This study presents the examination system, contents, and types of items in mathematics in the examination subjects at a nationwide level that are applied to examination materials for college entrance through analyzing such system, contents, and types of problems. Based on the results of this analysis, this study draws certain issues on the contents that are to be included in large-scale national examinations used for materials for college entrance, types of items which are able to appropriately present such content, and specific issues on the examination system in order to effectively perform the examination through proper configurations in all these issues. Thus, this study will provide some basis to determine the examination system in mathematics for the College Scholastic Ability Test according to future educational curriculum.

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A Psychometric Analysis and Revision of the Mathematics Teaching Efficacy Beliefs Instrument Using the Rasch Model: Focusing on Personal Teaching Efficacy (Rasch 모형을 활용한 수학 교수 효능감 측정 도구의 심리측정적 특성 분석 및 수정: 개인 효능감 요인을 중심으로)

  • Hwang, Sunghwan
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.1-18
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    • 2021
  • The purpose of the study was to examine the psychometric properties of the personal teaching efficacy of the Mathematics Teaching Efficacy Beliefs Instrument and revise the scale for the use of Korean elementary school teachers. Data were collected from 299 elementary teachers. A Rasch analysis was used to evaluate unidimensionality and appropriateness of category use and item difficulty levels. Moreover, person separation and reliability as well as item separation and reliability were examined using the revised scale. Results suggested that the original personal teaching efficacy scale (13 items with five categories) had several problems in its psychometric properties. Thus, we revised the scale into eight items with four categories. The follow-up analysis results showed the revised scale provided sufficient psychometric properties for measuring Korean elementary school teachers' self-efficacy beliefs for teaching mathematics. Limitations and implications of the study were also discussed.