• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.1
• /
• pp.43-64
• /
• 2010

This study aimed to foster the learning abilities of mathematics, that is, along with the formation of a sure mathematical concept, extending the powers of doing mathematics, and bringing the creativities for 3rd grade elementary school children. In order to achieve these objects, we have executed mathematical classes for two consecutive hours of 16 times using the teaching model of [Learning contents in textbook]$\rightarrow$[The first problem Posing]$\rightarrow$[Problem solving to childrens' posing some problems]$\rightarrow$[Advanced problem posing] to 3rd grade school children during the first semester of 2009. In this paper, we analyzed problems that are made by children focusing on the four fundamental rules +, -, ${\times}$, $\div$ of arithmetic, with the view points of problem's completion, fluencies, flexibilities, buildings of concept, originalities and using materials. As a result of the comparative analysis of the first problems and advanced problems made by the children, the first problems were revealed to be rather better in of problem's completion and fluencies. And the flexibilities were improved in the division and multiplication classes carried on. Setting up the experimental and comparative class, we compared to the scholastic achievement of two classes for the beginning and end in the first semester. In the result, the former was improved in the scholastic achievement more than the latter.

• Journal of The Korean Association of Information Education
• /
• v.12 no.1
• /
• pp.77-88
• /
• 2008

A programming education has favorable influence on creative / logical thinking and problem solving ability of students. However, students typically have to spend too much effort in learning basic grammar and the usage model of programming languages, which negatively affect their eagerness in learning. In this respect, we proposed to apply the 'Scratch' using the Creative Problem Solving(CPS) Teaching Model; Scratch is an easy-to-learn and intuitive Educational Programming Language(EPL) that helps improving the problem solving ability of the class. Then we verified the effect of Scratch EPL through the design of both pretest and posttest for a subject group. In summary, the CPS based Scratch EPL was shown to significantly improve the problem solving ability and also help them develop favorable attitude in programming.

• Communications of Mathematical Education
• /
• v.36 no.1
• /
• pp.59-72
• /
• 2022

The purpose of this study is to understand the characteristics of the mathematical modeling tasks and lesson designs developed by pre-service teachers based on the inherent awareness of mathematical modeling, considering the importance of creating a task to perform mathematical modeling activity and designing a lesson. As a result, the mathematical modeling tasks developed by pre-service teachers mainly presents an appropriate amount of information using real life contexts for the purpose of learning using concepts, and it showed a tendency to develop to the level of cognitive demand that required procedures with connections to understanding, meaning, or concepts. And most of the developed modeling task-based lessons showed a tendency to design warm-up activity, model-eliciting activity, and model-exploration activity. This result is due to the lack of experience of pre-service teachers in creating mathematical modeling tasks. Therefore, it is necessary to continuously provide opportunities for pre-service teachers to learn concepts or create mathematical modeling tasks intended for exploration according to various mathematical contents, thereby actively cultivating their ability to create modeling tasks in the course of training pre-service teachers. Furthermore, it is necessary to strengthen the expertise in mathematical modeling teaching and learning by providing opportunities to actually perform the mathematical modeling-based classes designed by pre-service teachers and to experience the process of reflecting on the lessons.

• Communications of Mathematical Education
• /
• v.25 no.2
• /
• pp.473-495
• /
• 2011

Across the secondary school, students deal with the algebraic conditions like as identity, inverse, commutative law, associative law and distributive law. The algebraic structures, group, ring and field, are determined by these algebraic conditions. But the conditioning of these algebraic structures are not mentioned at all, as well as the meaning of the algebraic structures. Thus, students is likely to be considered the algebraic conditions as productions from the number sets. In this study, we systematize didactically the meanings of algebraic conditions and algebraic structures, considering connections between the number systems and the solutions of the equation. Didactically systematizing is to construct the model for student's natural mental activity, that is, to construct the stream of experience through which students are considered mathematical concepts as productions from necessities and high probability. For this purpose, we develop the program for the gifted, which its objective is to teach the meanings of the number system and to grasp the algebraic structure conceptually that is guaranteed to solve equations. And we verify the effectiveness of this developed program using didactical experiment. Moreover, the program can be used in ordinary students by replacement the term 'algebraic structure' with the term such as identity, inverse, commutative law, associative law and distributive law, to teach their meaning.

• Education of Primary School Mathematics
• /
• v.24 no.4
• /
• pp.217-231
• /
• 2021

The purpose of this study was to investigate the effects of flipped learning through EBSmath on Students' 'rate and ratio' learning. By increasing demands for change in education, an innovative teaching and learning paradigm, 'Flipped Learning', has been presented and drawing attentions. In South Korea, Flipped Learning is also highly recognized for its effectiveness by many scholars and various media. However, this innovative learning model has limitations in application and expansion due to the excessive burden of class preparation of teachers. As remote learning becomes more active, it would be possible to overcome the limitations of Filliped learning by using the platform provided by the Korea Educational Broadcasting System (EBS). EBSmath is an online learning module that is designed to assist students' self-directed learning. Thus, EBSmath would reduce teachers' burden to prepare mathematics classes for the application of Flipped Learning; and led to students' better understanding of mathematical concepts and problem solving. In this study, the effect of Flipped Learning through EBSmath on learning 'rate and ratio' was investigated. In order to scrutinize the effects of flipped learning, students' achievement and mathematical disposition were examined and analyzed. Students' achievement, specifically, was divided into two subcategories: concept understanding and problem solving. As a result, Flipped learning through EBSmath had a positive effect on students' 'rate and ratio' problem solving. In addition, a statistically significant change was identified in the 'willingness', which is subdomain of students' mathematical disposition.

• Journal of The Korean Association For Science Education
• /
• v.17 no.3
• /
• pp.251-260
• /
• 1997

The instructional influences of cooperative learning strategies, which emphasize mutual interdependency of learners, group goal, and individual accountability, upon students' achievement, the attitude toward science instruction and the perception of learning environment were investigated. Before instruction, the prior knowledge test about atoms and molecules, the test of attitudes toward science instruction, and the perception questionnaire of learning environment were administered, and the grade in the previous mathematics course was obtained. These scores were used as covariates. Mid-term examination score was used as blocking variable. For instruction, three different strategies-traditional individual learning, small group learning, and cooperative learning-were used and teaching materials for the units of mole and stoichiometry were also prepared. After instruction, the researcher-made achievement test, the test of attitudes toward science instruction, and the perception questionnaire of learning environment were administered. The perception questionnaire of group activities was also administered to the two treatment groups. In the quantitative subtest, the scores of cooperative learning group and small group learning group were significantly higher than those of traditional individual learning group. However, the cooperative learning group's scores in the achievement test and the qualitative subtest were significantly higher than those of small group learning group and traditional individual learning group. The students in the cooperative learning group were found to have the most positive perception of learning environment but to have similar attitudes toward science instruction. No interaction between the treatment and the level of the previous achievement was found in any of the analyses. In the perception questionnaire of group activities, students in both small group learning group and cooperative learning group exhibited positive perception of group activities. However, students in the cooperative learning group tended to think that their activities were related with their group's success. Educational implications are discussed.

• Journal of Gifted/Talented Education
• /
• v.18 no.1
• /
• pp.111-137
• /
• 2008

The purpose of this study is to develop learning materials and teaching model for the gifted, and to examine the improvement of creativity of them in middle schools. Subjects were 126 gifted students, who were the 7th or 8th graders and have been taught in gifted classes of the adjacent Education Institute for the gifted of Boryeong Education Districts, Chungnam Province Office Of Education. Divisions of gifted Classes were logical reasoning, mathematics, foreign language, science. After the instruction of project-based task, gifted students had improved creativity. Especially, instruction using project-based task was more effective on scientifically gifted students. Most gifted students were satisfied with the instruction using project-based task, and attractive in it. Finally, it was suggested that the instruction using project-based task should be actively used for the gifted students.

• Journal of the Korea Convergence Society
• /
• v.10 no.10
• /
• pp.197-205
• /
• 2019

The purpose of this research was examining the effects of problem-based learning strategies(PBL) on problem solving skill conducted in Korea, using meta-analysis technique. This meta-analysis reviewed the results of 41 studies published between 1998 and 2017 in Korea. The overall weighted mean effect size value was .753 with .064 standard error which was calculated by random effects model. PBL strategies have been found to be more effective in mathematics course (d=.922), art course (d=.916), practical art course (d=.827), E-PBL (d=.791) and middle school level (d=.972). As PBL exhibit a substantial effect on students' problem solving skill, it is recommended that teachers should learn how to implement these strategies in their lesson. PBL is expected to contribute to the improvement of teaching methods as the learning environment changes during the 4th Industrial Revolution.

• Journal of the Korean School Mathematics Society
• /
• v.14 no.4
• /
• pp.423-442
• /
• 2011

The purpose of this study was to examine the effects of tasks setting for mathematical modelling in the complex real situations. The tasks setting(MMa, MeA) in mathematical modelling was so important that we can't ignore its effects to develop meaning and integrate mathematical ideas. The experimental setting were two groups ($N_1=103$, $N_2=103$) at public high school and non-experimental setting was one group($N_3=103$). In mathematical achievement, we found meaningful improvement for MeA group on modelling tasks, but no meaningful effect on information processing tasks. The statistical method used was ACONOVA analysis. Beside their achievement, we were much concerned about their modelling approach that TSG21 had suggested in Category "Educational & cognitive Midelling". Subjects who involved in experimental works showed very interesting approach as Exploration, analysis in some situation ${\Rightarrow}$ Math. questions ${\Rightarrow}$ Setting models ${\Rightarrow}$ Problem solution ${\Rightarrow}$ Extension, generalization, but MeA group spent a lot of time on step: Exploration, analysis and MMa group on step, Setting models. Both groups integrated actively many heuristics that schoenfeld defined. Specially, Drawing and Modified Simple Strategy were the most powerful on approach step 1,2,3. It was very encouraging that those experimental setting was improved positively more than the non-experimental setting on mathematical belief and interest. In our school system, teaching math. modelling could be a answer about what kind of educational action or environment we should provide for them. That is, mathematical learning.

• Communications of Mathematical Education
• /
• v.20 no.3 s.27
• /
• pp.425-441
• /
• 2006

Entering upon 21th, the internet which bring the digital era, are changing the paradigm of education and cultivating creative and challenging person, which is the core of competitive power in knowledge-information society, is more emphasized than ever. To meet the needs of the present times, it has been concentrating its effort to improve learning-environment using e-Learning in the field of teaching. E-schoolbooks that were introduced recently by way of showing an example are representative case of this intention. Though many e-learning contents are being developed, the more speedily a society grow, the shorter the life of contents are. Moreover, the contents developed are impossible to use directly for tele-education system, so standard types adjusted for various kind of system are showing up. Among them the leading standard type is SCORM(Sharable Content Object Reference Medel) made in ADL(Advanced Distributed Learning) Corporation. The KERIS' Cyber Home Education System adopted this and is using it. So, in this study, we set the goal at designing and developing an e-learning contents and an experiment-focused mathematics that suit the KERIS' Cyber Home Education System on the basis of SCORM.