• Title/Summary/Keyword: mathematics instruction

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A Study for Improving Differentiated Mathematics Instruction Using Open Problems and Inventing Open Problems in the Elementary School (초등학교 수준별 수학 수업에서 열린 문제의 활용과 열린 문제 구성 방법에 관한 연구)

  • Lee, Chong-Young
    • School Mathematics
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    • v.14 no.3
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    • pp.315-330
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    • 2012
  • Mathematics educators have tried to teach mathematics to all students who are at any mathematical level by differentiated math instruction from late 1990s in Korea. The common differentiated math instruction separates students into two or three groups according to their mathematical ability and then different activities and tasks are given to each group. This kind of instruction fosters negative attitudes to mathematics to low level students and fix them at low level. So I investigated new mathematics instruction considering able students and low attainers at the same time. This new method is based on using open problems in math class. All students can respond to an open problem in different ways. If teachers could relate all varieties of answers got from students at every level to build good understanding the concept which the problem target at, low attainers could move to their potential developmental levels. This kind of instruction can change low math attainers' negative attitudes to good ones to mathematics and foster their confidence in performing mathematics.

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An Analysis on Elementary School Teachers' Concern and Implementation of Differentiated Instruction of Mathematics (초등학교 수학과 수준별 수업에 대한 교사들의 관심도와 실행형태 분석)

  • Yang, Mu-Yhol;Kim, Hye-Na;Kim, Eun-Ju;Kim, Dae-Hyun
    • Journal of Fisheries and Marine Sciences Education
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    • v.25 no.2
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    • pp.321-340
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    • 2013
  • The purpose of this study was to investigate elementary school teachers'concern and implementation of differentiated instruction of mathematics. To achieve the purpose, this study applied measurements of CBAM, including Stages of Concern Questionnaire and Innovation Configurations Checklist, to 133 elementary school teachers. The results indicated that most teachers were in awareness stage, which meant they had little concern on differentiated mathematics instruction. As well as, analysis on innovation configurations revealed that b and c variation, each referred to fidelity to and deviance from national curriculum standard relatively, were dominant in their instruction. Based on the results, the study suggested implications on future policies and teacher training for differentiated mathematics instruction.

Study on the quality of instruction of two beginning mathematics teachers: Toward the above criteria (두 초임 수학교사의 수업의 질에 대한 연구)

  • Park, Mimi;Kim, Yeon
    • The Mathematical Education
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    • v.61 no.1
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    • pp.179-198
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    • 2022
  • Teaching is delicate, complicated, and demanding work, and especially beginning teachers set forth their difficulties in preparing and implementing mathematics instruction. It is important to ensure the quality of beginning mathematics teachers' instruction above a consistent level because such affirmation justifies the national policy on teacher education as well as the individual efforts of preservice teachers in South Korea. The current study collected mathematics lessons of the two beginning teachers who graduated from the same teacher training institute and worked at the same high school. The findings reported what features their lessons have with regard to the learning environment, engaging students in learning, deepening student learning, and using representations of the edTPA in order to identify what can or cannot be expected in their mathematics instruction. The instruction of the one teacher was assessed middle or more than middle scores throughout the rubrics, but the other one had lower scores. Based on these findings, this study suggested the implications for teacher education in ways of improving the quality of instruction of beginning mathematics teachers.

Design and Experiments on Mathematical Learning Model for Web Based Instruction (Web 기반 교육을 위한 수학 학습모형의 설계와 실험)

  • Ko, Hee-Ja;Kim, Hong-Chul
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.439-466
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    • 2008
  • In this paper, we aim to draw up an alternative instruction scheme by designing a web based instruction model on mathematics. Some learning materials are developed according to the scheme, and its educational effects are examined when it is committed to through regular curriculum. The study is composed of three major parts; setting of the theoretical foundation on cultivating Web based educational materials, design and composition of Web based teaching-learning model, and its experiments in the regular class. First of all, we are concerned with the core principles on WBI including the learning theories, developing learner oriented instruction model, design as well as build-up process for education materials, and strategy in instruction. Next, we propose an alternative instruction model for mathematics, in which programs to embody mathematics education and instruction on the Web are constructed, on the while, the study is proceeded through the Web Site. Finally, we design and produce a WBI instruction model on the subject of the plane quadratic curves. This model is examined in the regular class to estimate its educational effects compared with traditional teaching standpoints. Concomitantly, we explore essential elements and the direction of future growth associated with the Web oriented education.

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An improvement of feedback mathematics instruction based upon the survey (피드백 수학수업의 실태조사에 따른 운영방식 개선)

  • 원승준;남주현
    • Journal of Educational Research in Mathematics
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    • v.12 no.3
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    • pp.313-329
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    • 2002
  • The importance of professor's outline in a feedback instruction was examined through various documents and the way in which the evaluation was fulfilled in Korean educational environment and its reflection upon the evaluation result were investigated by means of research. Based upon the survey results in connection with the progress and basis of teachers' on the spot feedback mathematics instruction in schools, it was found that most of teachers who engaged in feedback mathematics instruction were going over the most frequently missed problems. I proposed that we should bring up the point at issue and grasp its tendency of a class and entire group's results by means of a relative comparative analysis method, and thereupon establish a fixed category and choose substantial feedback scholarship according to that category. From this basis, the sub-sequent research topics include the substantial feedback effects of the selected problems that should be given priority, a group analysed and classified by means of comparison of tendency as well as feedback outline depended on students' characteristic, and the determining factors of tendency(a condition of professors, a level of students, geographical difference(s), and gender difference(s), etc...).

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A Survey on the Practice of Small-Group Instruction in Elementary School Mathematics (초등학교 수학 수업에서 소집단 학습의 적용 실태 분석)

  • Park, Sung-Sun
    • Communications of Mathematical Education
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    • v.22 no.3
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    • pp.349-368
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    • 2008
  • The purpose of this study was to investigate the small-group instruction of mathematics in elementary schools. For this, a sample of 742 teachers of elementary schools completed the survey. As a result, about 27.8% of the teachers reported using small group instruction while they worked with one group or they assigned to other groups worked alone. Only 2% of the teachers reported using small group in which students were encouraged to participated cooperatively. This study discusses the five issues about small group instruction in elementary school. The five issues were investigated in this survey. First, major teaching method in mathematics classroom and using of small group instruction were described. Second, frequency and period of small-group instruction were reported. Third, grouping method in small-group instruction was described. And Fourth, effect grouping practices of small-group instruction were described. Fifth, the model of small group instruction and assessment in small-group instruction were reported.

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The Effects of Instruction Using Mind-Map in Mathematical Studies on Academic Achievements and Attitudes of Underachievers (마인드 맵을 활용한 학습부진아의 지도가 수학학습 능력 및 태도에 미치는 영향)

  • Park, Song-Yi;Ro, Young-Soon
    • Journal of the Korean School Mathematics Society
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    • v.12 no.2
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    • pp.243-260
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    • 2009
  • Many students have difficulty studying mathematics because of its unique characteristics and the numbers of underachievers in mathematics are increasing, not decreasing, even though great teaching-learning methods have been provided. The purpose of this research is to examine if instruction using mind-map in mathematical studies has positive effects on achievement and attitudes of underachievers in mathematics. For this, mathematics learning ability test before instruction, survey of attitudes toward mathematics before and after instruction and mathematics learning ability test before and after instruction were performed for 32 underachievers in two classes of first grade in C high school in South Chung cheong Province. The positive effects of instruction using mind-map in mathematical studies on academic achievements and attitudes of underachievers were expected, but results indicate that there is no significant effect. However, results indicate that the use of mind-map in mathematics instruction has positive effects partially on the changes of learning attitudes. Therefore, the characteristics of underachievers in mathematics should be understood first, mind-map according to them should be applied and students should have time to properly perceive and draw mind-map skillfully. In teachers' professional knowledge of mind-map and consideration for students, when follow-up researches and systematic instruction proceed together for a long period time, the desired results can be realized.

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Situated Theory and Two Kinds of Mathematics Instructional Beliefs of Teachers

  • Zhang Xiaogui
    • Research in Mathematical Education
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    • v.10 no.2 s.26
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    • pp.103-113
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    • 2006
  • The mathematics instructional beliefs of a teacher include the exterior mathematics instructional beliefs and the internal mathematics instructional beliefs. These two kinds of beliefs are formed in two kinds of different situations. The situated theory thinks that beliefs are related with the situations; so, the two kinds of beliefs are showed in the different situations. The internal instructional mathematics beliefs effect on the actual mathematics instruction, they ought to be noticeable.

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The Development of the Items on Class Critiques Involving the Mathematical Competencies (수학 교과에서의 교과 역량을 반영한 수업비평문 개발 연구)

  • Yu, Ji Won;Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.36 no.4
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    • pp.475-492
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    • 2020
  • This study is to establish the items on class critiques based on the mathematical competencies according to the mathematics curriculum revised in 2015. Namely, this study deals with the items on how pre-service or in-service teachers understand and comment on mathematics instruction on their own instruction or peers' instruction. To accomplish this, first of all the draft items on instructional reviews was developed by researchers of this study on the basis of the previous study(Hwang, 2018). In order to revise and develop the draft items, the experimental study was executed. The experimental study was done by the subject of 11 groups who are undergraduate students in the educational college of C University. The subject was supposed to watch an in-service middle school mathematics teacher's excellent instruction(study) video and to comment the instruction video on the draft items on class critiques. While analyzing the comments of the subject, the revised items on the class critiques were to be develop. Based on this study, from now on, the final and ideal items on the class critiques would be establish to reflect and comment teachers' instruction.

A Study on Development and Application of Web Site for Learning Statistics in the Middle School (중학교 통계를 중심으로 한 웹사이트 개발 및 적용에 관한 연구)

  • 류희찬;정부자
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.635-650
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    • 1998
  • The purpose of this study is to develope a web site of statistics closely related to real life in the information society and to analyze the achievement and the response of the students about WBI between the web based instructiongroup and the traditional instruction group after applied the developed web site. The conclusions drawn from the results of this study are as follows: First, as compared the web based instructionclass with the traditional instruction class there was a significant difference in the high class but not in the low class. And there was a higher level of the achievement in the web based instruction classes than the traditional classes. Therefore, it is certain that the achievement will not fall through the web based instruction is applied. Second, the results of the investigated response using the paper sheets in order to see the response of the students about the web based instruction is that there was a more effect related to the interest and understand of studying in the web based instruction than in the traditional instruction. As synthesizing these study results, there will be a positive effect on the mathematical achievement as well as the interest of students about mathematics if the web based instruction is properly used.

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