• Title/Summary/Keyword: Elementary math

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The Communication of Elementary Math Classes Through Observing the Excellent Lesson Videos (우수수업 사례를 통해서 본 초등 수학 교실에서의 의사소통)

  • Choi, Eun-Ah;Lee, Kwang-Ho
    • School Mathematics
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    • v.12 no.4
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    • pp.507-530
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    • 2010
  • The purpose of this study was to help teachers for their teaching practice by analyzing the excellent lesson videos. To analyze the lesson videos between teacher and students, the researchers classified excellent lesson classes into four types as 'Discourse type', 'Representation type', 'Operation type' and 'Complex type' by mathematical communication pattern and kept close watch each lesson videos. Mathematical communication of the best discourse type classroom was analyzed in terms of questioning, explaining, and the sources of mathematical ideas. As a result, the number of Discourse type classes was 6. Operation type classes were 16 owing to characteristic of elementary class. Representation type class was 1 and Complex type class was 1. The Classes excluding Operation type was more planned by teachers. Teachers need to know about mathematical communication accurately because they designed just 5 lesson plan considering mathematical communication of students and only one of the lessons has the intellectual purpose of communication. Furthermore teachers should reflect questioning for student-to-student in their lesson plan.

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Weight as Knowledge to be taught according to Didactic Transposition Theory (가르칠 지식으로서 무게에 대한 분석: 교수학적 변환 이론을 중심으로)

  • Choi, Jisun
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.377-394
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    • 2022
  • Criticism has been raised that the way of teaching weights in the 3rd and 4th graders of elementary school is different between the 2015 revised math curriculum and the 2015 revised science curriculum, causing confusion among elementary school teachers and students. This study tried to confirm the social recognition that should be considered in the process of didactic transformation which means transformation from knowledge to used into knowledge to taught and to compare the variations of didactic transformations differently according to didactic intentions. The research analyzes and synthesizes the root of the meaning of weight, weight in the international standard system of units SI, weight implemented in Korean mathematics curriculum and textbooks, Singaporean mathematics curriculum and textbooks, USA mathematics curriculum and textbooks, and Korean science curriculum and textbooks. Through this analysis, a pedagogical perspective on how to define and teach weight in elementary school as knowledge to be taught was derived.

A Study of the Questions Presented in Chapters of Number and Operation Area in Elementary School Mathematics Textbooks (초등수학 교과서의 수와 연산 영역 단원에 제시된 발문 특성 연구)

  • Do, Joowon
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.89-105
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    • 2022
  • In this research, in order to obtain teaching/learning implications for effective use of questions when teaching number and operation area, the types of questions presented in chapters of number and operation area of 2015 revised elementary math textbooks and the function of questions were compared and analyzed by grade cluster. As a result of this research, the types of questions presented in chapters of number and operation area showed a high percentage of occurrences in the order of reasoning questions, factual questions, and open questions not calling for reasoning in common by grade cluster. And reasoning questions were predominant in all grade clusters. In addition, in all grade clasters, the proportion of questions acting as a function to help guess, invention, and solving problems and questions acting as a function to help mathematical reasoning were relatively high. As such, it can be inferred that the types and functions of the questions presented in chapters of number and operation area are related to the characteristics of the learning content by grade cluster. This research will be able to contribute to the preparation of advanced teaching/learning plans by providing reference materials in the questions when teaching number and operation area.

Development of the Mathematics Teaching Efficacy Beliefs Instrument Korean Version for Elementary Preservice Teachers (초등 예비 수학 교사를 대상으로 하는 MTEBI 한글판 개발)

  • Ryang, Dohyoung
    • The Mathematical Education
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    • v.52 no.3
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    • pp.363-377
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    • 2013
  • 교수효능감은 교사가 교실에서 얼마나 효율적으로 가르칠 것인지를 예측하는 매우 강력한 구인이다. MTEBI는 초등 예비교사를 대상으로 수학 교수 효능감을 재는 유효한 척도이다. 그러나 MTEBI는 미국에서 개발되어 다른 문화에서 바로 사용할 수는 없다. 본 연구는 MTEBI가 한국에서 유효한 지에 대한 실증적 조사이다. 먼저, 영문의 MTEBI를 국문으로 번역하고, 번역한 것을 다수의 수학교사 교육자가 철저하게 검토하였다. 그다음, 506명의 예비 초등교사 표본에서 정규성, 신뢰도, 타당도 등의 통계적 검정을 실시하였다. 그 결과, 한글판 MTEBI의 하위척도인 PMTE와 MTOE의 알파계수가 각각 .836과 .705이었다. 이로써 한글판 MTEBI가 한국에서 효능감 연구에 사용할 수 있을 만큼 믿을 수 있고 문항 구성이 타당함을 입증하였다. 나아가 본 연구에서 제시된 영문판을 바탕으로 한국과 교육에 대한 전통과 문화가 비슷한 이웃 문화에서도 효능감 연구가 일어나기를 기대한다.

A NUMERICAL ALGORITHM FOR KINEMATIC ANALYSIS OF THE MACPHERSON STRUT SUSPENSION SYSTEM USING POINT COORDINATES

  • Attia, Hazem Ali
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.8 no.1
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    • pp.67-80
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    • 2004
  • In the present paper, a numerical algorithm for the kinematic analysis of a MacPherson strut motor-vehicle suspension system is developed. The kinematic analysis is carried out in terms of the rectangular Cartesian coordinates of some defined points in the links and at the joints. The presented formulation in terms of this system of coordinates is simple and involves only elementary mathematics. The resulting constraint equations are mostly either linear or quadratic in the rectangular Cartesian coordinates. The proposed formulation eliminates the need to write redundant constraints and allows to solve a reduced system of equations which leads to better accuracy and a reduction in computing time. The algorithm is applied to solve the initial positions as well as the finite displacement, velocity and acceleration problems for the MacPherson strut motor-vehicle suspension system.

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On the Mathematical Terminology before the First Editing Material (편수 자료 이전의 수학 용어에 대해)

  • Her, Min
    • Journal for History of Mathematics
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    • v.31 no.3
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    • pp.111-126
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    • 2018
  • At present, most of school mathematical terms in elementary and secondary curriculums of Korea are Sino-Korean words. 1964 Mathematical Editing Material, which aimed to unify mathematical terms into mainly Sino-Korean words, was considered a key factor for this situation. 1964 Editing Material depended heavily on 1956 Mathematical Terminology, which contains a lot of Korean native words and displays the school mathematical terms after 1945. There are many Korean native words in the Second Mathematical Curriculum. This shows that Korean native words of mathematics had been consolidated to some extent at that time. In North Korea, a lot of Korean native words are still used in mathematics. Some Sino-Korean words were recently changed to Korean native words in South Korea. 1956 Mathematical Terminology tells the method to make Korean native words of mathematics and will be an excellent guide for making Korean native words.

The Study on Teaching Multiplication Concepts through Strategies using Multiple Intelligences (다중지능 적용 교수.학습전략을 통한 곱셈 개념 지도에 관한 연구)

  • Kwak, Jeong-Hoon;Nam, Seung-In
    • The Mathematical Education
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    • v.47 no.4
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    • pp.405-419
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    • 2008
  • The purpose of this study is to find oui the effects of teaching mathematical concepts by designing and applying teaching and learning programs that takes into consideration the students' strong intelligence, through the teaching and learning strategies based on the multiple intelligences theory. For this study, developmental and experimental research was conducted. In the developmental research part of the study, teaching and learning programs for teaching the concept of multiplication were designed and the activities based on the multiple intelligences were chosen. On the other hand, in the experimental research part, the data acquired from the application of nonequivalent control group pretest-posttest design in the actual classes was processed and analyzed. The results above indicate that the teaching and learning program based on the multiple intelligences theory improved the students' overall understanding of mathematical concepts by providing various types of activities. In addition, this program helped students to increase their confidence and generate a positive attitude towards learning math.

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Examination of Prospective Teachers' Perceptions on Mathematical Concepts and Their Potential Teaching Strategies

  • Lee, Ji-Eun
    • Research in Mathematical Education
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    • v.18 no.1
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    • pp.55-74
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    • 2014
  • This study examined the potential teaching strategies of prospective elementary teachers and their perceptions of the procedural/conceptual nature of examples. Fifty-four prospective teachers participated in this study, engaging in two-phase tasks. Analysis of data indicated that: (a) Overall, the participants' perceptions were geared toward putting emphasis on conceptual understanding rather than procedural understanding; but (b) Generally, procedure-oriented strategies were more frequently incorporated in participants' potential teaching plans. This implied that participants' preconceived ideas regarding math examples were not always reliable indicators of their potential teaching strategies. Implications and suggestions for mathematics teacher preparation are discussed.

Effects of the Mrs. Weill's Hill in Addition and Subtraction (수 연산 지도에서의 웨일부인의 언덕도 (Mrs Weill's Hill)의 도입)

  • 이의원
    • School Mathematics
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    • v.2 no.2
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    • pp.489-508
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    • 2000
  • With the increased use of computational technology, many educators question about spending large amount of class time for dealing with computational algorithms in elementary school math classroom at the expense of more holistic aspects of mathematics such as number sense, spatial sense, problem solving and data management. This paper introduce the new method for learning addition and subtraction so called ‘Mrs. Weill’s Hill’, which is believed as a suitable remedial method for children with mathematical learning disabilities, with perceptual problems, or with limited working memory capacities. This method provides children with external memory strategies by allowing them to solve the addition and subtraction problems in a stage by stage fashion with as many steps as they require. It also gives the child greater flexibility in the solution process and thus helps reduce anxiety.

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A Study on Teaching And Learning in Elementary School ICT using Excel based Math. Education (초등학교 수학과 ICT활용교육에서 Excel을 활용한 교수-학습에 관한 연구)

  • Kim, Jung-Hwan;Lee, Jae-In;Han, Byoung-Rae
    • 한국정보교육학회:학술대회논문집
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    • 2007.01a
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    • pp.141-148
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    • 2007
  • ICT는 21세기 지식기반사회에서 교육효과를 증대시킬 수 있는 강력한 도구라는 여러 가지 이유로 ICT 활용교육이 중시되어 왔었고, 학교 현장에서는 ICT를 활용한 교수 학습이 활발하게 도입되었다. 그 중 Excel은 뛰어난 수식 계산과 논리 판단 기능을 갖추고 있어서 간단한 계산에서부터 함수를 이용한 복잡한 수식 작성과 문자의 연산, 데이터의 비교 분석과 그래프를 통한 통계처리까지 거의 모든 종류의 계산을 할 수 있다는 점에서 수학과에서 그 가능성이 제시되어 왔다. 그러나 기존의 연구는 대부분 중 고등학교 수학과에 한정되어 있어 초등학교에서 활용하기에는 무리가 있었다. 이에 본 연구에서는 초등학교 수학과에서의 Excel 활용 수업을 적용하기에 적합한 학습 주제를 선택하여 학생들이 계산하는데 걸리는 시간보다는 문제해결을 위한 사고에 중점을 둔 문제해결 수업모형을 개발하여 적용해 보기로 하였다.

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