• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.177-197
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• 2007

This study analyzes the theoretical background concerning problem solving, mathematization and real-life problems. Further it examines how middle school mathematics teachers and high school students of first grade recognize the real-life problems provides in textbooks concerning the area of geometry. Following those results found from this analysis, this paper reveals the issues and problems that we noticed through the analysis of real-life problems from textbooks, level 8 and level 9, Also we suggest the application of them along with the development of real-life problems for students' uplifting problem solving skills.

• Education of Primary School Mathematics
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• v.25 no.2
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• pp.197-211
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• 2022

In this study, we tried to find a way to improve the pedagogical decision-making practices related to the presentation order of 'large number' and 'small number' in problem situations of subtraction of the natural number. For this purpose, the elementary school teachers' perception about problem situations in real-life context of subtraction of natural numbers was investigated, and the collected data were analyzed qualitatively and quantitatively to identify teachers' pedagogical perceptions. As a result of this study, it was confirmed the need for consideration on how to set up a problem situations in real-life context of subtraction so that students can develop their ability to solve various types of problems. To this end, not only in a problem situation of subtraction where you have to think of 'large number' first and 'small number' later, but also about the introduction of problem situations in real-life context of subtraction in which you think about 'small number' first and 'large number' later, which often appears in real-life. You will need to recognize the need. And you should have a pedagogical view on this. The results of this study will be able to contribute to the preparation of pedagogical method that can expand the understanding of various problem situations where subtraction is applied from the lower grades of elementary school.

• The Mathematical Education
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• v.60 no.4
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• pp.509-527
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• 2021

We investigated whether and how pre-service teachers took the realistic contexts seriously in the course of solving word problems; additionally, we investigated how pre-service teachers evaluated students' realistic and non-realistic answers to word problems. Many pre-service teachers, similar to students, solved some of the realistic problems unrealistically without taking the realistic contexts seriously. Besides, they evaluated students' non-realistic answers higher than the realistic answers. Whether the pre-service teachers could solve problems realistically or not, they did not appreciate students' realistic considerations for the reasons that those were not fitted to the intentions of the word problems, or those were evidence of the flaws of the problem. Furthermore, the analysis of premises implied in the pre-service teachers' evaluation comments showed the implicit didactic contracts about realistic word problem solving that they accepted and also anticipated students to follow. Our analysis of the pre-service teachers' conceptions of realistic word problems can help teacher educators design the teacher program to challenge and revise pre-service teachers' folk pedagogy.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.273-295
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• 2006

It is the purpose of this study to help computational estimation study to settle down in effective teaching method through analysis how students are understanding computational estimation and what occurs using computational estimation in actual life problem situations. I set 3 cases to accomplish these purposes. (1) How students are understanding computational estimation? (2) How students' computational estimation ability is in applying actual life problem situation? (3) What is students' different attitudes in an actual life problem situation before studying computational estimation and after? To accomplish tile purpose, I chose 6 third grade students and taught 'Computational estimation using actual life problem situation' and analyzed students computational estimation processing. Then I arranged the computational estimation processing in an actual life problem situation and differences between the before and tile after. As a result, I obtained the followings. (1) Need of estimation: Every students could recognize the need of estimation with experiencing an actual life problem situation. (2) Choosing the order of decimals: Students could choose appropriate order of decimals according to an actual life problem situations. (3) Using strategy: They usually use rounding strategy and quite often use special number and compatible number strategy.

• Journal of the Korean School Mathematics Society
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• v.6 no.2
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• pp.117-126
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• 2003

In this article, we described students' conceptions of fraction, based on the mathematical learning theory of Skemp who contributed to the understanding of a mathematical conception in the real world problems. We analyzed students' responses to given three problems in order to examine a degree of the conceptual understanding in their responses. In conclusion, it suggests some instructional methods which facilitate students to understand the conceptions the fraction implies.

• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.61-73
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• 2006

Studying functions is the fundamental that makes people understand complicate social events by using mathematical symbol system. But there are not enough program design and Teaching-learning strategy for mathematical-gifted student. So this research aim to design education program and teaching-learning strategy in functions area for mathematical-gifted student. 1 use real life-related problems to make students develop their problem-solving skill. And in this research I encourage students to study functions by grouping, discussion and presentation for self-directed teaming.

• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.117-132
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• 2008

This paper has analyzed the problem of the inequality unit in 7th National curriculum 8-Ga stage from the following points. First, in respect to the written questions of the inequality unit over every textbook of 7th National curriculum, how are they allocated according to subject matters and what are their weak points? Second. how many of them are related to the authentic daily life or other subjects and what kind of subjects are they? Third, what are the problems related to the authentic daily life situation or what are the problems that have some inter-sentential errors, and what kinds of measures for their improvement can be taken? In keeping with view points above, we have analyzed the contents in current 16 different textbooks on th basis of their subject matters and especially put the emphasis on the relation to daily life and other subjects. Consequently, we found there are many textbooks that do not include various subject matters and that can not be related to various other subjects. It is necessary to connect mathematics to various daily life matters and other subjects to improve students' creativity and to make students understand the practicality of mathematics.

• Communications of Mathematical Education
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• v.14
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• pp.349-370
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• 2001

21C 사회는 실생활의 많은 현상들과 문제들을 수학적으로 해결하기 위한 능력을 요구하고 있다. 따라서, 21C가 요구하는 수학교육의 역할도 실생활에서 접하는 현상 또는 문제들의 수학적 모델을 구성하여 해를 구하고, 그 결과를 실생활에 비추어 해석하는 경험을 제공하고 그 능력을 발전시키는 것을 포함한다고 하겠다. 따라서, 본 연구는 수학적 모델링이 수학에 대한 사회적 요구를 달성할 수 있는 효과적인 하나의 방법이 될 것이라는 믿음을 가지고, 수학적 모델링 활동을 중학교 수학 교육의 중심 제재인 함수의 지도에 활용하기 위한 구체적 실천방안을 논의한다. 이를 위해 연구문제를 '1. 일선 수학 교사들은 수학적 모델링의 개념을 어느 정도 파악하고 있으며 그 활용가치와 활용 가능성에 대해 어떻게 판단하고 있는가?', '2. 중학교 함수 영역의 수학적 모델링 수행 과제와 그에 따른 구체적 평가 기준안을 개발한다.’로 설정하고, 연구문제 1을 해결하기 위해 임의로 선택된 서울과 경기도의 현직 수학교사 47명을 대상으로 설문조사를 실시하였으며, 연구문제 2를 해결하기 위해서는 설문결과에서 얻은 현장의 요구를 바탕으로 중학교 함수 영역의 수학적 모델링 수행과제와 구체적인 평가 기준안을 개발한 후, 개발된 과제와 평가 기준안은 현직교사 3인의 자문을 얻어 내용 타당도와 신뢰도를 검증하였다.

• Journal of The Korean Association For Science Education
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• v.27 no.4
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• pp.309-317
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• 2007

The purpose of the study is to investigate the effects of problem solving models and middle school students' recognition inproblem solving activities and to get implications of problem solving activities in science education. We took the position of problem solving as consisting of four sequential stages: search of problems, performance of the plan, presentation of results, and evaluation of the presentation. Taking into account thechosen activity factors for each stage of problem solving, we developed detailed activity tools that are supposed to guide the stage. Recognition of problem solving activities in 7th grade middle school students were positive. Students felt that problem solvingactivities made them engage more and interested in science classes, and that they were helpful in solving problems in everyday life. Even though they found real problems in everyday life, they preferred problem solving activities to deal with real problems rather than simple minded ones.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.53-66
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• 2009

The east-asian mathematics is highly evaluated in mathematics education. In this paper, we search the geometric problems of east-asian mathematics in high school textbooks and various examinations and investigate how to use such problems. We also confirm that the geometric problems of east-asian mathematics can be widely used as real life materials for introducing new mathematical topics, real life applications for mathematical topics, and valuable source for mathematical discourse.