• Title/Summary/Keyword: 수학/통계 교수

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The Effects of Students' Mathematics Learning Achievements on Elementary School Teachers' Self-efficiency in Math (수학교과에 대한 초등교사의 자기효능감이 학생들의 수학 학업성취도에 미치는 영향)

  • Heo, Yang Won;Kim, Seon Yu
    • School Mathematics
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    • v.15 no.2
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    • pp.337-352
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    • 2013
  • The purpose of this study is to evaluate the efficacy of teaching methods among elementary school math teachers in terms of student achievement in examinations. Results are based upon data from two elementary schools. The evaluation criteria of fifteen items was modified from Ryang's original MTEBI sixteen items to measure elementary school teachers' math teaching efficacy. The result of this study could be summarized as follows. The students were divided into two groups according to teaching efficiency: higher teaching efficiency and lower teaching efficiency. A comparison of math tests taken by students from these groups demonstrates a significant statistical difference. Students with teachers in the lower efficiency group are likely to under-perform. In consequence, teachers' self-efficiency in math is considered to affect students' learning achievement in mathematics.

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The Case Study of Gender Difference in Mathematical Problem Solving (수학적 문제해결 과정에 대한 성별 사례 연구)

  • Lee, Kwang Sang;Suh, Bo Euk
    • Education of Primary School Mathematics
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    • v.16 no.2
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    • pp.147-162
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    • 2013
  • This is an in-dept case study that extract the problems showing remarkable gender gap in 6th graders and analyze the difference between boys and girls in the process of problem solving. This study can be summarized as the following. First, according to the result of basic study, the parts are divided into measurement, probability and statistics and regularity. And then test problems and face-to-face talk contents are developed. Second, the distinct features between boys and girls, follow-up study and face-to-face talk. As a result, five characteristics of gender gap are selected. Through the results of this study, the improvement of teaching & learning development and evaluation considering gender is expected in the classrooms of elementary schools.

Comparative Analysis of the National Level Academic Achievement Assessment Items between Korea and Japan (한국과 일본의 국가수준 학업성취도 평가 문항 비교 분석)

  • Kim, Bumi;Cho, Hyungmi
    • Journal of the Korean School Mathematics Society
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    • v.24 no.4
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    • pp.407-428
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    • 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.

Suggestions on the instructional activities relevant to the area of Probability and Statistics based on the result of TIMSS and PISA Items (국제성취도 평가에 기초한 중학교 확률과 통계 내용 관련 탐구 - PISA와 TIMSS 문항 분석을 중심으로 -)

  • Son, Bok-Eun;Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.15 no.1
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    • pp.109-135
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    • 2012
  • In December of 2009, General Curriculum Revised in 2009 was announced and research on corresponding mathematics curriculum revision has been initiated from that period. Finally, in August 2011, Mathematics Curriculum Revised in 2009 was announced. In this new curriculum, Creativity is emphasized as the ability pursued in General Curriculum Revised in 2009. Accordingly, for the purpose of fostering students with creative and challenging minds, teaching and learning methods including the objectives and content should be more carefully implemented in math class. In case of the area of Probability and Statistics closely related to real life situations, it is suggested that school curriculum in mathematics would not deal with only mathematical problems on algorithm, but rather present teaching and learning materials related to the real life in order to recognize the usefulness of the content of Probability and Statistics and to learn how to think about it. In this paper, effective guidelines for teaching and learning the content of Probability and Statistics and its activities that follows the direction on Mathematics Curriculum Revised in 2009' are suggested based on the analysis of the PISA and TIMSS international assessments items. Thus, the guidelines suggested in this study would be used efficiently and appropriately for developing instructional materials or planning curriculum revision and setting its direction in the future.

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Assessment Study on Educational Programs for the Gifted Students in Mathematics (영재학급에서의 수학영재프로그램 평가에 관한 연구)

  • Kim, Jung-Hyun;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.235-257
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    • 2010
  • Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

A Design for Instructional Models to Use Calculators in Elementary School Mathematics (계산기를 활용한 초등학교 수학과 교수-학습 모형 개발)

  • Ahn Byung-gon;Kim Young-tae;Rim Hae-Kyung;Rew Keun-bong
    • Journal of Elementary Mathematics Education in Korea
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    • v.4 no.1
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    • pp.1-19
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    • 2000
  • This paper aims to enhance students' interest in the use of calculators in mathematics education and promote their use of calculators in real-life situations. Towards these ends, problem types and instructional models developed for the efficient utilization of calculators. The instructional models focus on teaching mathematics relying on the path through which expert teachers have gone through to gain relevant knowledge. By developing problem types and instructional models suitable for calculator use, We can contribute to a better attainment of instructional goals in mathematics education. The instructional models and problem types will aid teachers in making decisions about instructional development plan and basic features of instructional activities. The use of a new medium will also lead to increased interest and confidence in learning, thus contributing to the enhancement of students' ego.

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An Analysis on Error Types of Graphs for Statistical Literacy Education: Ethical Problems at Data Analysis in the Statistical Problem Solving (통계적 소양 교육을 위한 그래프 오류 유형 분석: 자료 분석 단계에서의 통계 윤리 문제)

  • Tak, Byungjoo;Kim, Dabin
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.1
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    • pp.1-30
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    • 2020
  • This study was carried out in order to identify the error types of statistical graphs for statistical literacy education. We analyze the meaning of using graphs in statistical problem solving, and identify categories, frequencies, and contexts as the components of statistical graphs. Error types of representing categories and frequencies make statistics consumers see incorrect distributions of data by subjective point of view of statistics producers and visual illusion. Error types of providing contexts hinder the interpretation of statistical information by concealing or twisting the contexts of data. Moreover, the findings show that tasks provide standardized frame already for drawing graphs in order to avoid errors and pay attention to the process of drawing the graph rather than statistical literacy for analyzing data. We suggest some implications about statistical literacy education, ethical problems, and knowledge for teaching to be considered when teaching the statistical graph in elementary mathematics classes.

Effects of One-to-Many Tutoring Mathematics Cooperative Learning on the Cognitive and Affective Domains of High School Students (일대다 튜토링 수학 협동학습이 고등학생의 인지적·정의적 영역에 미치는 영향)

  • Yoo, Ki Jong
    • Communications of Mathematical Education
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    • v.34 no.2
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    • pp.161-177
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    • 2020
  • This study constructed an experiment group and a comparative group, composed of high school students preparing for "Na" type math exam and provided one-to-many tutoring cooperative learning. This study tested the differences between group and between pre- and post-treatment scores by group using non-parametric statistics techniques. Moreover, this study conducted an open-type survey twice and had individual interviews to examine the affective domains of students. The difference in scores between the experimental group and the comparative group was not significant. However, the difference between pre- and post-treatment math scores was only significant in the experiment group among the three groups. Additionally, the student-teacher could reflect on him or her and improve self-efficacy while teaching other ordinary students. The ordinary students were more interested and motivated in the lessons and became more confident. In terms of mathematics competency, we could see that communication, problem-solving, reasoning, and attitude & practice were improved.

Investigating on the Building of 'Mathematical Process' in Mathematics Curriculum (수학과 교육과정에서 '수학적 과정'의 신설에 대한 소고)

  • Park, Hye-Suk;Na, Gwi-Soo
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.503-523
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    • 2010
  • The current mathematics curriculum are consist of the following domains: 'Characteristics', 'Objectives', 'Contents', 'Teaching and learning method', and 'Assessment'. The mathematics standards which students have to learn in the school are presented in the domain of 'Contents'. 'Contents' are consist of the following sub-domains: 'Number and Operation', 'Geometric Figures', 'Measures', 'Probability and Statistics', and 'Pattern and Problem-Solving' (Elementary School); 'Number and Operation', 'Geometry', 'Letter and Formula', 'Function', and 'Probability and Statistics' (Junior and Senior High School). These sub-domains of 'Contents' are dealing with mathematical subjects, except 'Problem-Solving' at the elementary school level. In this study, the sub-domain of 'mathematical process' was suggested in an equal position to the typical sub-domains of 'Contents'.

Effects of AI Convergence Education Program for Pre-service Teachers using Capstone Design Methods on AI Teaching Efficacy (예비교사를 위한 캡스톤 디자인 방법 활용 인공지능 융합교육 프로그램이 인공지능 교수효능감에 미치는 영향)

  • Yi, Soyul;Lee, Eunkyoung
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.07a
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    • pp.717-718
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    • 2022
  • 본 연구에서는 예비교사의 인공지능 융합교육 역량 강화를 위한 캡스톤 디자인 기법 활용 인공지능 융합교육 프로그램을 개발하고 효과를 검증하였다. 개발된 교육 프로그램은 예비교사들이 스크래치 프로그래밍과 머신러닝포키즈, 캡스톤 디자인의 이해를 바탕으로, 인공지능 활용 융합 수업을 위한 주제 선정, 수업 설계 및 개발 후, 마이크로티칭을 하고 동료 평가 및 피드백을 하도록 조직되었다. 이는 2022년 1학기 K대학의 교양 강좌를 수강하는 예비교사들에게 처치되었다. 그 결과, 실험 대상자들의 인공지능 교수효능감의 사전-사후 t-검정에서 통계적으로 유의한 효과가 있음을 확인되었다.

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