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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Education of Primary School Mathematics
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
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Volume & Issues
Volume 15, Issue 3 - Dec 2012
Volume 15, Issue 2 - Aug 2012
Volume 15, Issue 1 - Apr 2012
Selecting the target year
Analysis on Analogical Transfer between Mathematical Isomorphic Problems with Different Level of Structuredness
Sung, Chang-Geun ; Park, Sung-Sun ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 59~75
This study aims to find whether the solutions for well-structured problems learned in school can be transferred to the moderately-structured problem and ill-structured problem. For these purpose, research questions were set up as follows: First, what are the patterns of changes in strategies used in solving the mathematics problems with different level of structuredness? Second, From the group using and not using proportion algorithm strategy in solving moderately-structured problem and ill-structured problem, what features were observed when they were solving that problems? Followings are the findings from this study. First, for the lower level of structuredness, the frequency of using multiplicative strategy was increased and frequency of proportion algorithm strategy use was decreased. Second, the students who used multiplicative strategies and proportion algorithm strategies to solve structured and ill-structured problems exhibited qualitative differences in the degree of understanding concept of ratio and proportion. This study has an important meaning in that it provided new direction for transfer and analogical problem solving study in mathematics education.
An Analysis of Good Mathematics Instruction by Key Instructional Elements of Measurement
Pang, Jeong-Suk ; Kim, Jeong-Won ; Kim, Hye-Jeong ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 77~89
Considerable efforts have been attempted to identify what makes high-quality mathematics instruction, including diversity and variability across different educational systems and cultural contexts. As the instructional elements related to effective mathematics teaching can be commonly applied to different content domains, they may be efficient in selecting such teaching. However, such elements may not reflect on the specific but essential features of each domain. This paper compared and contrasted two sets of measurement teaching practices, which were recognized as good instruction, in terms of how the key elements of measurement domain were implemented. As such this paper is expected to accumulate significant knowledge about elements of effective mathematics instruction that are specialized in a particular content domain of measurement. This paper suggests that domain-specific approach be considered in studying good mathematics teaching.
The Research on PBL Application in Mathematics Method Course
Lee, Kwang-Ho ; Jang, Eun-Ha ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 91~106
This study reports pre-service teachers' problem solving process on the problem-based learning(PBL) employed in an elementary mathematics method course. The subjects were 6 pre-service teachers(students). The data were collected from classroom observation. The research results were described by problem solving stages. In understanding the problem stage, students identified what problem stand for and made a problem solving planned sheet. In curriculum investigation stage, students went through investigation and re-investigation process for solving the task. In problem solving stage, students selected the best strategy for solving the task and presented and shared about problem solving results.
Effects of the Mathematical Modeling Learning on the Word Problem Solving
Shin, Hyun-Yong ; Jeong, In-Su ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 107~134
The purpose of this study is to investigate the effectiveness of two teaching methods of word problems, one based on mathematical modeling learning(ML) and the other on traditional learning(TL). Additionally, the influence of mathematical modeling learning in word problem solving behavior, application ability of real world experiences in word problem solving and the beliefs of word problem solving will be examined. The results of this study were as follows: First, as to word problem solving behavior, there was a significant difference between the two groups. This mean that the ML was effective for word problem solving behavior. Second, all of the students in the ML group and the TL group had a strong tendency to exclude real world knowledge and sense-making when solving word problems during the pre-test. but A significant difference appeared between the two groups during post-test. classroom culture improvement efforts. Third, mathematical modeling learning(ML) was effective for improvement of traditional beliefs about word problems. Fourth, mathematical modeling learning(ML) exerted more influence on mathematically strong and average students and a positive effect to mathematically weak students. High and average-level students tended to benefit from mathematical modeling learning(ML) more than their low-level peers. This difference was caused by less involvement from low-level students in group assignments and whole-class discussions. While using the mathematical modeling learning method, elementary students were able to build various models about problem situations, justify, and elaborate models by discussions and comparisons from each other. This proves that elementary students could participate in mathematical modeling activities via word problems, it results form the use of more authentic tasks, small group activities and whole-class discussions, exclusion of teacher's direct intervention, and classroom culture improvement efforts. The conclusions drawn from the results obtained in this study are as follows: First, mathematical modeling learning(ML) can become an effective method, guiding word problem solving behavior from the direct translation approach(DTA) based on numbers and key words without understanding about problem situations to the meaningful based approach(MBA) building rich models for problem situations. Second, mathematical modeling learning(ML) will contribute attitudes considering real world situations in solving word problems. Mathematical modeling activities for word problems can help elementary students to understand relations between word problems and the real world. It will be also help them to develop the ability to look at the real world mathematically. Third, mathematical modeling learning(ML) will contribute to the development of positive beliefs for mathematics and word problem solving. Word problem teaching focused on just mathematical operations can't develop proper beliefs for mathematics and word problem solving. Mathematical modeling learning(ML) for word problems provide elementary students the opportunity to understand the real world mathematically, and it increases students' modeling abilities. Futhermore, it is a very useful method of reforming the current problems of word problem teaching and learning. Therefore, word problems in school mathematics should be replaced by more authentic ones and modeling activities should be introduced early in elementary school eduction, which would help change the perceptions about word problem teaching.
A Study on Development of Personalized Learning Materials for Underachievers in Elementary Mathematics
Choe, Seung-Hyun ; Cho, Seong-Min ; Ryu, Hyun-Ah ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 135~145
In this research, we observed how students perform as they followed the teachers' instruction, and consequently perform their realized potential. As the accountability of school education is emphasized, various attempts try to disconnect the vicious cycle of producing low achievers. Efforts are allocated into developing a method to minimize cumulative effect of the lag in educational benefit by focusing on the elementary education. Based on the 2007 revised curriculum, mathematics achievement level and assessment criteria were developed. These criteria were used to standardize the course and assessment objectives for 4th through 6th grade students' mathematics studies, and to assess lower performing students and the lag in their mathematical understanding. The educational materials and assessment criteria can be expected to lead lower performing students by giving them the personalized lesson plans to minimize the lag of mathematical understanding, and eventually expedite their progress and prevent cumulative effect of the lag in the following curriculum.
Analysis on the Responses and Recognitions of the Gifted Students in Solving Reflection Cluster Problems
Cho, Young-Mi ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 147~158
In this paper we introduced the reflection cluster problems. They are not well known in Korea education field. We used two reflection cluster problems and analysed the responses of the gifted students. Finally, we asked how they felt about reflection cluster problems. The results of this paper will help to make new assessment items and develop new programs for the gifted education.
An Analysis on the Epistemological Obstacles of Elementary Students in the Learning of Ratio and Rate
Park, Hee-Ok ; Park, Man-Goo ;
Education of Primary School Mathematics, volume 15, issue 2, 2012, Pages 159~170
Many obstacles have been found in the learning of ratio and rate. The types of epistemological obstacles concern 'terms', 'calculations' and 'symbols'. It is important to identify the epistemological obstacles that students must overcome to understand the learning of ratio and rate. In this respect, the present study attempts to figure out what types of epistemological obstacles emerge in the area of learning ratio and rate and where these obstacles are generated from and to search for the teaching implications to correct them. The research questions were to analyze this concepts as follow; A. How do elementary students show the epistemological obstacles in ratio and rate? B. What is the reason for epistemological obstacles of elementary students in the learning of ratio and rate? C. What are the teaching implications to correct epistemological obstacles of elementary students in the learning of ratio and rate? In order to analyze the epistemological obstacles of elementary students in the learning of ratio and rate, the present study was conducted in five different elementary schools in Seoul. The test was administered to 138 fifth grade students who learned ratio and rate. The test was performed three times during six weeks. In case of necessity, additional interviews were carried out for thorough examination. The final results of the study are summarized as follows. The epistemological obstacles in the learning of ratio and rate can be categorized into three types. The first type concerns 'terms'. The reason is that realistic context is not sufficient, a definition is too formal. The second type of epistemological obstacle concerns 'calculations'. This second obstacle is caused by the lack of multiplication thought in mathematical problems. As a result of this study, the following conclusions have been made. The epistemological obstacles cannot be helped. They are part of the natural learning process. It is necessary to understand the reasons and search for the teaching implications. Every teacher must try to develop the teaching method.