• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.2
• /
• pp.315-335
• /
• 2010

The goal of this research was to study the effects of the Mathematical Problem Generating Program on problem solving ability and learning attitude. The experiment was carried out between two classes. One class was applied with the experimental program (treatment group), and the other continued with normal teaching and learning methods (comparative group). In this study, two 5th grade elementary classes participated in Seoul city. In this study, the students were tested their problem solving abilities by the IPSP test and learning attitude by the Korean Education Development Institute (KEDI) before and after use of the program. The collected results were t-tested to find any meaningful changes. The results showed the followings. First, use of the mathematical generating program showed meaningful progressive results in problem solving ability. Second, the students that used the program showed positive results in learning attitude. In conclusion, learning mathematics using the problem generating method helps students deeper understand and solve complex problems. In addition, problem solving abilities can be improved and the attitude towards mathematics can be changed while students are using an active and positive approach in problem solving processes.

• Education of Primary School Mathematics
• /
• v.7 no.2
• /
• pp.101-116
• /
• 2003

In recent days, it is stressed that problem solving ability and inference ability to get a higer accomplishment are very important. The purpose of this research is to explore the affective factors related the problem solving ability and reasoning ability. Also, we explored the difference between the two affective factors focusing on 6th graders in primary school.

• The Mathematical Education
• /
• v.44 no.4 s.111
• /
• pp.565-586
• /
• 2005

The purpose of this paper is to analyze the selection difference of mathematical problem solving strategy by mathematical learning style, that is, the intellectual, emotional, and physiological factors of students, to allow teachers to instruct the mathematical problem solving strategy most pertinent to the student personality, and ultimately to contribute to enhance mathematical problem solving ability of the students. The conclusion of the study is the followings: (1) Students who studies with autonomous, steady, or understanding-centered effort was able to solve problems with more strategies respectively than the students who did not; (2) Student who studies autonomously or reconfirms one's learning was able to select more proper strategy and to explain the strategy respectively than the students who did not; and (3) The differences of the preference to the strategy are variable, and more than half of the students were likely to select frequently the strategy 'to use a formula or a principle' regardless of the learning style.

• School Mathematics
• /
• v.4 no.2
• /
• pp.147-160
• /
• 2002

The purpose of this study is to examine the The correlation between information processing types and mathematical communication abilities / word problem solving abilities. The results obtained are as follows: 1 Simultaneous/continuous information process types showed statistically high correlation with mathematical communication abilities. However, the correlation between simultaneous information process and mathematical communication abilities is a little higher than the correlation between continuous information process and mathematical communication abilities. 2. There is a high correlation between mathematical communication abilities and word problem solving abilities. Especially, speaking ability is much more correlated with four factors of word problem solving than reading, writing and listening, Through this study, we can conclude that information process types should be consider ed in order to improve mathematical communication abilities and mathematical communication abilities is essential in word problem solving.

• East Asian mathematical journal
• /
• v.35 no.2
• /
• pp.115-139
• /
• 2019

In problem solving education, sentence problems are a tool for comprehensive evaluation of mathematical ability. The sentence problems refer to the problem expressed in sentence form rather than simply a numerical representation of mathematical problems. In order to solve sentence problems with a mixture of mathematical terms and general language, problem-solving ability including the ability to understand the meaning of sentences as well as the mathematical computation ability is required. Therefore, it is important to analyze syntactic elements from the linguistic aspects in sentence problems. The purpose of this study is to investigate the complexity of sentence problems in the length of sentences and the grammatical complexity of the sentences in the depth of the sentences by analyzing the 51 sentence problems presented in the $4^{th}$ grade mathematics textbook(2015 revised curriculum). As a result, it was confirmed that it is necessary to examine the length and depth of the sentence more carefully in the teaching and learning of sentence problems. Especially in elementary mathematics, the sentence problems requires a linguistic understanding of the sentence, and therefore it is necessary to consider syntactic elements in the process of developing and teaching sentence problems in mathematics textbook.

• Journal of Gifted/Talented Education
• /
• v.8 no.2
• /
• pp.69-89
• /
• 1998

The purpose of this study is to develop a test which can be used in identification of the gifted students in the area of mathematics. This study was carried out for two years from 1996. Mathematical giftedness is, in this study, regarded as a result of interaction of mathematical thinking ability, mathematical creativity, mathematical task committment, background knowledge. This study presumed that mathematical thinking ability is composed of seven thinking abilities: intuitive insights, ability for information organization, ability for visualization, ability for mathematical abstraction, inferential thinking ability(both inductive and deductive thinking abilities), generalization and application ability, and reflective thinking. This study also presupposed that mathematical creativity is composed of 3 characteristics: fluency, flexibility, originality. The test for mathematical creative problem solving ability was developed for primary, middle, and high school students. The test is composed of two parts: the first part is concentrated more on divergent thinking, while the second part is more on convergent thinking. The major targets of the test were the students whose achievement level in mathematics belong to top 15~20% in each school. The goodness of the test was examined in the aspects of reliability, validity, difficulty, and discrimination power. Cronbach $\alpha$ was in the range of .60~.75, suggesting that the test is fairly reliable. The validity of the test was examined through the correlation among the test results for mathematical creative problem solving ability, I. Q., and academic achievement scores in mathematics and through the correlation between the scores in the first part and the scores in the second part of the test for mathematical creative problem solving ability. The test was found to be very difficult for the subjects. However, the discrimination power of the test was at the acceptable level.

• The Mathematical Education
• /
• v.51 no.4
• /
• pp.351-375
• /
• 2012

This research is a case study of the changes of students's problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl's high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students's describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.

• The Mathematical Education
• /
• v.42 no.5
• /
• pp.623-636
• /
• 2003

Metacognition is defined to be 'thinking about thinking' and 'knowing what we know and what we don't know'. It was verified that the metacognitive abilities of high school students can be improved via instruction. The purpose of this article is to investigate a new method for activating the metacognitive abilities that play a key role in the Mathematical Problem Solving Process(MPSP). Hyunsung participated in the MPSP using Visual Basic Programming. He actively participated in the MPSP. There are sufficient evidences about activating the metacognitive abilities via the activity processes and interviews. In solving mathematical problems, he had basic metacognitive abilities in the stage of understanding mathematical problems; through the experiments, he further developed his metacognitive abilities and successfully transferred them to general mathematical problem solving.

• The Mathematical Education
• /
• v.48 no.4
• /
• pp.455-467
• /
• 2009

During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The test questions are formulated into several areas of questioning-types which can reveal rather different result. The lower level questions are to investigate individual ability to solve multiple mathematical problems while using "mathematical thought." During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The scope of this case study is to present a desirable model in solving mathematical problems and to improve teaching methods for math teachers.

• Journal of the Korean School Mathematics Society
• /
• v.12 no.3
• /
• pp.291-305
• /
• 2009

The purpose of this article is to formulate the base that mathematical thinking power can be improved through activating the metacognitive ability of students in the math problem solving process. The guidance material for activating the metacognitive ability was devised based on a body of literature and various studies. Two high school students used it in their math problem solving process. They reported that their own mathematical thinking power was improved in this process. And they showed that the necessary strategies and procedures for math problem solving can be monitored and controled by analyzing their own metacognition in the mathematical thinking process. This result suggests that students' metacognition does play an important role in the mathematical thinking process.