• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.647-672
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• 2003

This study sought to determine the impact of the graphing calculator on prospective math-teachers' mathematical thinking while they engaged in the exploratory tasks. To understand students' thinking processes, two groups of three students enrolled in the college of education program participated in the study and their performances were audio-taped and described in the observers' notebooks. The results indicated that the prospective teachers got the clues in recalling the prior memory, adapting the algebraic knowledge to given problems, and finding the patterns related to data, to solve the tasks based on inductive, deductive, and creative thinking. The graphing calculator amplified the speed and accuracy of problem-solving strategies and resulted partly in students' progress to the creative thinking by their concept development.

• 아동학회지
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• 제29권1호
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• pp.339-353
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• 2008

This study examined how cognitive style in young children affects mathematical problem-solving performance. Findings showed that the types of patterns presented were linked to the degree of difficulty of the tasks and that disparity between field-independent and field-dependent in cognitive style was broader when subjects worked with more complicated pattern problems. Subjects' marks varied by cognitive style when dynamic assessment was conducted, but cognitive style made no difference in their mathematical learning capability. Cognitive style had an impact not only on the task performance of the learners but on the extent to which they were in need of help during the problem-solving process. Yet, it exercised no influence on how much progress the subjects made when fully assisted.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권4호
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• pp.469-481
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• 2009

This study investigates the relationship of mathematics anxiety and achievement in college mathematics for engineering major freshman students. An revised and modified 30-item version of the Mathematics Anxiety Scale(MAS) was completed by 176 university engineering students enrolled in introductory calculus courses offered by the department of mathematics. Correlational analysis indicated complex interaction patterns between mathematics anxiety and mathematics achievement, depending on the level of anxiety. The results from this study confirm the negative correlation between mathematics anxiety and mathematics achievement in college mathematics for engineering major student, and also those support the claim that the relationships between mathematics anxiety and achievement have non-linear patterns.

• 대한수학교육학회지:학교수학
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• 제1권1호
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• pp.187-216
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• 1999

The purpose of this study is to develop mathematics performance assessment items for the 8th graders and to analyze their performance ability. First, five-themes were selected : 'Calculator', 'Cut and Paste', 'Rule finding', 'Place Assignment', 'My thinking'. Then, the assistance of Mathematics education specialists and Teachers, 10 P. A. items consisting of two subtasks and their evaluation rubric were developed. Then, items were revised by the results of pilot test. And, final version of items were administrated to the 8th graders of three regions(Seoul, Chongiu, Chungp$\acute{y}$ong). Through analyzing the performance ability of the subjects assessment items, the following conclusion were obtained: They were very insufficient in the ability to find some patterns in the given problem situation and to describe logically the patterns in terms of mathematical terminology. It is believed because they were familiar with the objective test to take one or short answer.

• 한국수학교육학회지시리즈A:수학교육
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• 제38권1호
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• pp.77-85
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• 1999

In this paper, we analyze strategies and error patterns in solving word problems of linear equation for middle school students. From a test conducted to the sampled 106 second grade middle school students, we obtain the following results: (1)The most difficult types of word problem are velosity and density related problems. The second one is length related problems and the easist one is number related problems. (2)Regardless of the types of word problem, the most familiar strategy is the constructing algebraic equations. However, the most successful strategy is the trial and error. (3)Most likely error patterns are the use of inadequate formulas and wrong trial and errors. Based on these results, a teaching program with various schema is developed and shown to be effective for mid level students in classroom.

• 한국수학교육학회지시리즈A:수학교육
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• 제53권3호
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• pp.435-447
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• 2014

Recently, the interdisciplinary integration and story-telling are often mentioned in mathematics education. It is probably because they might be helpful to students for positive attitude for mathematics. In this research, through brief discussion mathematics related with wallpaper patterns, we try to integrate mathematics and design, and eventually develop the teaching/learning materials for experience activities and story-telling.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제18권3호
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• pp.187-208
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• 2014

This study engages in the features of interaction in elementary school mathematics lessons as reflected in the class discourse. 28 pre-service teachers documented the discourse during observation of their tutor-teachers' lessons. Mapping the interaction patterns was performed by a unique graphic model developed for that purpose and enabled providing a spatial picture of the discourse conducted in the lesson. The research findings present the known discourse pattern "initiation-response-evaluation / feedback" (IRE/F) which is recurrent in all the lessons and the teacher's exclusive control over the class discourse patterns. Hence, the remaining time of the lesson for the pupils' discourse is short and meaningless.

• East Asian mathematical journal
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• 제40권2호
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• pp.209-229
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• 2024

In this study, we design a teaching unit that constructs Pascal graphs and extended Pascal triangles to explore number patterns inherent in them. This teaching unit is designed to consider the diachronic process of teaching-learning by combining Dörfler's theoretical generalization model with Wittmann's design science ideas, which are applied to the didactical practice of mathematization. In the teaching unit, considering the teaching-learning level of prospective teachers who studied discrete mathematics, we generalize the well-known Pascal triangle and its number patterns to extended Pascal triangles which have directed graphs(called Pascal graphs) as geometric models. In this process, the use of symbols and the introduction of variables are exhibited as important means of generalization. It provides practical experiences of mathematization to prospective teachers by going through various steps of the generalization process targeting symbols. This study reflects Wittmann's intention in that well-understood mathematics and the context of the first type of empirical research as structure-genetic didactical analysis are considered in the design of the learning environment.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권3호
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• pp.275-293
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• 2006

The purpose of this study was to analyze the connection between students' errors and prior knowledge as an attempt to design an efficient teaching method in decimal computation. A survey on decimal computations was conducted in two 6th grade elementary school classrooms. Error patterns on decimal computations were analyzed and clinical interviews were conducted with 8 students according to their error patterns. Main errors resulted from the insufficient understanding of prior knowledge such as place value, connection between decimals and fractions, meaning of operations, and computation principles of fractions. In order to help students overcome such obstacles, a teaching experiment was designed in a manner that strengthens a profound understanding of prior knowledge related to decimal computations, and connects such knowledge to actual decimal calculations. This study showed that well-designed lesson plans with base-ten blocks might decrease students' errors by helping them understand decimals and connect their prior knowledge to decimal operations.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제31권2호
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• pp.153-166
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• 2017

본 연구에서는 예비교사가 문제 만들기 과제를 위해 분수곱셈지식을 사용하는 과정에서 드러나는 이해의 정도와 유형을 미국사례를 중심으로 조사하였다. 이를 위하여, 미국 대학 교사교육과정의 입문단계와 종료단계에 있는 총 164명의 예비초등교사를 대상으로 분수곱셈에 대한 문장제 문제를 작성하게 하고, 이를 수학적 정교성과 작성한 문제에 사용한 분수곱셈의 의미의 유형으로 분석하였다. 분석결과는 교육과정 입문단계와 종료단계의 예비교사 그룹 간의 차이점, 각 그룹, 그리고 전체적인 경향에 대해 기술하였고, 분수곱셈 지도와 교사교육에 대한 시사점을 제공하였다.