• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.53-87
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• 2020

The purpose of this study was to find a future direction for improving computational estimation instruction through examining the contents of computational estimation included in the 2015 revised elementary school mathematics curriculum and elementary school mathematics textbook and teacher's guide. Through this, several suggestions was made as follow. Firs, it is necessary to emphasize the computational estimation across all grade groups. Second, it is necessary to teach the computational estimation strategies systematically. It was found that it is necessary to reinforce the activities related to computational estimation in the computation related units.

• TTA Journal
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• s.142
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• pp.28-29
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• 2012

어림(estimation)은 대강짐작으로 헤아림을 뜻하는 말로 '어림없다'는 너무 커서 어림조차 할 수 없을 때 사용한다. 그래서 어떤 값을 '어림했다'는 것은 정확하게 측정하지 않았다는 의미로 실험값을 정확하게 측정해야 하는 과학의 속성과는 거리가 좀 멀어 보인다. 하지만 어림은 과학자뿐 아니라 일반인에게도 쓰임새가 많은 사고활동의 하나로 측정의 정확도가 날로 높아지고 있는 첨단과학 시대에도 그 중요성이 줄어들지 않고 있다. 이미 수학교육에서는 초등학교 정규 교육과정 내에서 어림하는 활동을 포함시키고 있으며, 과학교육에서도 다양한 활용방안을 모색하고 있다. 심지어 기업체에서는 인재를 선발할 때 어림하는 능력을 보기도 한다. 그렇다면 어림이 과학과 어떤 관계가 있는 것일까?

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.1-18
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• 2017

The purpose of this study is the reorganization of the curriculum on the measurement, a part of the second grade math curriculum, for the improvement of the estimation capability in the elementary school students. Research questions were as follows: (1) how are the estimation capabilities of the students who have taken lessons on the diversified estimation strategies? and (2) how are the mathematical writing capabilities of the students who have taken lessons on the diversified estimation strategies? The study using reconstructed lessons was conducted on 18 second grade students in an elementary school located in Seoul. Results show that the students' estimation capabilities and have improved. They started to use 'about' when writing estimation results, different from writing the accurate measurements. Measurement errors were gradually reduced, ending up with a student who could accurately estimate exactly 1m. In addition, their estimation capabilities in using appropriate estimation strategy and writing skills describing the estimation strategy have improved.

• Education of Primary School Mathematics
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• v.1 no.2
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• pp.149-161
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• 1997

기술 공학 및 수학 학문 자체의 발전으로 인하여 논리성 개발뿐만 아니라 사고력을 개발하고, 일상 생활에 유용한 학습 내용들이 학교 수학에 도입되고 있다 수학 학습의 이러한 변화의 측면에서 보면, 어림은 사고력 개발이나 일상생활에서의 유용성에 많은 도움이 될 수 있는 수학 학습의 한 영역이다. 그러나 하나의 정확한 답을 구하는데 익숙해 있는 아동들은 오차를 포함하는 어림 값을 문제에 대한 답으로 수용하는 것을 어려워하며, 어림을 사용해서 문제를 해결할 때 문제에 대한 답이 여러 개 있을 수 있음을 인정하지 못한다. 또 어떤 경우에는 정확한 계산을 한 후 그 결과를 반올림해서 어림 값을 구한다. 이러한 형태의 어림 학습은 어림의 유용성을 충분히 인식시키거나 효율적으로 어림하는 감각이나 융통성 있는 사고를 개발하지 못해 아동들로 하여금 어림을 귀찮고 성가신 것으로 생각하게 한다.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.267-287
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• 2015

In this paper, based on the results of analysis on types and strategies of estimation in measurement in the textbooks according to 2009 revised elementary mathematics curriculum, the following four implications are suggested for curriculum development and textbook development for a later date. First, it is necessary to reconcile curriculum and textbooks in contents for estimation in measurement. In 2009 revised elementary mathematics curriculum, only estimation in length, estimation in capacity, estimation in weight, estimation in angular measure are presented. However, estimation in time and estimation in area are presented in textbooks. Second, it is necessary to introduce various strategies for estimation in measurement. In teacher's manual, three strategies like using referent, chunking, unitizing are illustrated. But in textbooks, such strategies are not illustrated properly. Third, the meaning of the 'estimate' need to be clarified. In textbooks, 'estimate' are used also in other contexts. Fourth, it is necessary to clarify whether or not to deal with estimation in time, estimation in area, and estimation in volume in the school curriculum. In 2009 revised elementary mathematics curriculum, estimation in time, estimation in area, and estimation in volume are not mentioned explicitly.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.1-18
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• 2002

거리 수학이 학교 수학에 통합되어 수학 교실에서 지도되고 있는 하나의 예로 어림을 들 수 있다. 학교수학에서 지도되는 지필 알고리즘과는 달리 어림은 대략적인 값을 구하며, 주로 암산으로 수행된다. 그러나 어림은 학생들의 수학 학습과 일상생활에서 많은 유용성을 가지고 있음에도 불구하고 지금까지 수학 교육과정에서는 간과되었으나 최근 들어 강조되고 있는 영역이다. 따라서 본 연구에서는 학교 수학에서 지도되는 어림을 고찰함으로써 거리 수학을 학교 수학에 통합하려는 수학과 교수-학습에 시사점을 제공하는 것을 목적으로 한다. 연구의 목적을 실현하기 위해 거리 수학과 학교 수학을 규명하고, 거리 수학과 학교 수학을 연결하는 다리로서의 어림에 대해서 고찰하였다. 다음으로 초등학교 6학년 학생들을 대상으로 어림 능력 검사를 실시함으로써 초등학교 교육을 통해서 학생들에게 길러지는 어림 능력을 분석하였다.

• Journal of The Korean Association For Science Education
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• v.21 no.1
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• pp.76-88
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• 2001

This study explored people's accuracy and methods of estimating some base physical quantities, i.e. length, mass, time and temperature. A total of 40 members, ranging from freshmen to professors, of a physics education department of a local university were asked to make two different kinds of estimations, intuitive and operational, on two sets of objects. For intuitive estimation, they were asked to make estimations on four given objects (length - wood chopsticks, mass - rubber eraser, time electric fan, temperature - water in a cup) as soon as they faced with the objects, usually within a few seconds of seeing. For operational estimation, they were allowed to make estimations on a different set of objects (length - plastic rod, mass - lock, time - simple pendulum, temperature - water in a cup) with enough time and they could apply various available methods (e.g. using pencil to estimate the object's length, counting their own pulse rate to estimate time) for the estimation. The findings of this study can be summarized as follows: (1) for length, mass and temperature the intuitive estimations were better performed while for the time estimation the result was the reverse; (2) there was no positive relationship between the amount of physics experience and the accuracy of the estimation; (3) in general, people's accuracy of the length estimation was best performed while their mass estimation was worst performed; (4) people used their own various methods for estimation, esp. using nearby objects around them and applying mental units which have convenient values (e.g. 30cm, 50cm, 1kg, 1 Keun, 1 second).

• Communications of Mathematical Education
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• v.9
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• pp.177-186
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• 1999

본고에서는 먼저 어림과 근사값의 의미를 고찰한다. 그리고 근사값과 어림수 사이의 관계를 살펴보고 1940년대 초등학교 5학년에서의 어림수의 곱셈과 나눗셈에 대한 지도 방법과 현행 중학교 교육과정에서의 근사값의 곱셈과 나눗셈의 지도 방법을 살펴본다. 이들을 살펴봄으로써 어림과 근사값을 지도하는 의의를 강조하고 어림셈과 근사값 계산에 대한 교수 ${\cdot}$ 학습 자료로서 제시하고자 한다.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.587-610
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• 2010

This paper investigates the ways for estimation ability improvement in length, which is recently emphasized in measurement area of mathematics education. According to preceding studies, students' length estimation ability is considerably low. Revision curriculum tried to pursue estimation and feeling of massiveness responsive to trends in mathematics education. But, Such efforts are not reflected in textbooks and they are rather weak in the aspect of estimation and feeling of massiveness. This paper analyzes the contents related to length estimation in current textbooks critically and explores an alternatives. This paper is suggestive for textbook development to improve ability to estimate length.

• Journal of The Korean Association For Science Education
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• v.23 no.3
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• pp.229-238
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• 2003

In this study, we investigated middle school student' ability in estimating order of magnitude of physical quantities. Participants were 448 students of seventh grades and ninth graders in Seoul area. A multiple-choice typed questionnaire was designed for estimating five physical quantities such as length, mass, speed, volume, and density. The answers were analyzed through dimension of quantity, size of object, students' grade and their gender. In the results, more than two thirds of all participants chose the right order of magnitude in estimating length, but only around a quarter of them did so in estimating density. They had a tendency to show lower ability when they estimated order of magnitude of more complex dimensioned quantity. Moreover, students' answers had relatively wide distribution in estimating smaller sized objects. Through there was no big difference between seventh graders and ninth graders in estimation, male students where better in estimating base quantities, especially in length. However, more than half of participants did not choose the right order of magnitude in total and it showed their lack of qualitative understanding about these physical quantities and meaningless usage of unit in measuring.