• Journal of Elementary Mathematics Education in Korea
• /
• v.19 no.3
• /
• pp.435-455
• /
• 2015

This study is aimed at analyzing the level change and features of mathematical communication in elementary students' expository writing. 20 students of 5th graders of elementary school in Seoul were given expository writing activity for 14 lessons and their worksheets was analyzed through four categories; the accuracy of the mathematical language, logicality of process and results, specificity of content, achieving the reader-oriented. This study reached the following results. First, The level of expository writing about concepts and principles was gradually improved. But the level of expository writing about problem solving process is not same. Middle class level was lower than early class, and showed a high variation in end class again. Second, features of mathematical communication in expository writing were solidity of knowledge through a mathematical language, elaboration of logic based on the writing, value of the thinking process to reach a result, the clarification of the content to deliver himself and the reader. Therefore, this study has obtained the conclusion that expository writing is worth keeping the students' thinking process and can improve the mathematical communication skills.

• Journal of Elementary Mathematics Education in Korea
• /
• v.20 no.4
• /
• pp.677-694
• /
• 2016

Storycrafting is a creative educational technique in Finland. Since 2011, storytelling approach of mathematics textbooks in South Korea can be regarded as opportunities for interesting learning of mathematics as well as its improper application to mathematics lessons. We need to revise and improve the storytelling method. The purpose of this study is to make a storycrafting program that encourages students to make mathematical stories for themselves and to analyze the effect of the storycrafting program on mathematical creativity and communication. To do so, we developed a storycrafting program of mathematics for sixth graders, which is composed of 33 lessons. And we applied them to one sixth class as experimental group. Through pre-test and post-test, their mathematical creativity and communication were tested. Based on the result of t-test, we can verify the statistical meaningful effect of the storycrafting program. This study contains some conclusions and suggestions.

• The Mathematical Education
• /
• v.43 no.4
• /
• pp.419-440
• /
• 2004

The purpose of this paper is to know the effects on number and operation abilities of the 1st grade children of elementary school by applying teaching and learning activity throught communication. For this purpose, we have studied according to the following procedure. 1. We divised teaching and learning model through communication and applied in the actual teaching and learning activity. 2. We investigated the effects of number and operations abilities of the 1st grade children by applying teaching and learning activity through communication. To accomplish this purpose, we applied learning activity through communication to the 1st grade of 40 elementary school children for about six months(September 1, 1999 ～ February 20, 2000). In process of applying this model, we collected all sorts of cases in the children's learning activity and investigated children's response on learning activity through communication, interview with children and researcher's observation. We applied the model through communication in class and compared with the traditional learning. 1. In learning through communication, children could solve the problem in themselves with a sense of responsibility. 2. It was impossible to find out the degree of children's comprehension in the explanatory learning. But in the learning through communication, it was a great help to individualize and plan the learning because children express their ideas clearly. It has conclusion as follows. The learning activity through communication has effected on forming number and operations abilities of the 1st grade of elementary school children importantly. 1. Children have improved in the abilities through communication to express their own ideas. 2. Children have studied with a sense of responsibility not in the teacher-oriented learning but in the self-directed learning 3. Children could find out the mathematical concepts in themselves - correcting false concepts, reguiding concepts by errors, finding invisible errors, solving problems variously and knowing the easy method. 4. The activity through communication in mathematics was a base of children's individual learning and important data of next learning plan. 5. The mathematical concepts formed through communication had a high transfer of learning. 6. Children have taken pleasure of discovery and had affirmative attitude about mathematics learning. We can make sure that number and operations abilities of the 1st grade children are formed by applying teaching and learning activity through communication. However, help and control of teacher have to be with it.

• Journal of Educational Research in Mathematics
• /
• v.8 no.2
• /
• pp.691-708
• /
• 1998

The purpose of this study is to review mathematical communication theories. This study has the content of general communication, communicative learning goals in mathematics. modes of communication, methods of teaching communication and values of communication.

• ETRI Journal
• /
• v.43 no.3
• /
• pp.524-537
• /
• 2021

High-performance Linpack (HPL) is among the most popular benchmarks for evaluating the capabilities of computing systems and has been used as a standard to compare the performance of computing systems since the early 1980s. In the initial system-design stage, it is critical to estimate the capabilities of a system quickly and accurately. However, the original HPL mathematical model based on a single core and single communication layer yields varying accuracy for modern processors and accelerators comprising large numbers of cores. To reduce the performance-estimation gap between the HPL model and an actual system, we propose a mathematical model for multi-communication layered HPL. The effectiveness of the proposed model is evaluated by applying it to a GPU cluster and well-known systems. The results reveal performance differences of 1.1% on a single GPU. The GPU cluster and well-known large system show 5.5% and 4.1% differences on average, respectively. Compared to the original HPL model, the proposed multi-communication layered HPL model provides performance estimates within a few seconds and a smaller error range from the processor/accelerator level to the large system level.

• School Mathematics
• /
• v.17 no.2
• /
• pp.223-239
• /
• 2015

This study focused on classroom dialogue for communicating spatial information which is supposed to be implemented through learning activities using building-blocks. Even though mathematics textbooks for $2^{nd}$ graders have activities which require abilities of explaining and understanding some spatial information, we know few about how mathematical communication between teacher and students or among students and which strategies are more effective. For this reason, two building-block lessons for $2^{nd}$ graders were observed. The characteristics of teachers' instruction and students' explanation were identified and the mathematical communication between teachers and students or among students was analyzed. As a result, mains factors of impeding students' explanation and understanding were induced and the types of their communication were classified. Based on these results, several teaching strategies for effective communication in buildingblock lessons were suggested.

• Education of Primary School Mathematics
• /
• v.17 no.1
• /
• pp.41-56
• /
• 2014

The purpose of this study was to investigate how Storytelling in Mathematics Instruction effects students' mathematical communication apprehension. In order to do this, I selected two grade six classes with no significant difference on the Communication Apprehension(CA) test. I applied normal story telling and digital story telling to each of the classes for ten weeks then analyzed the effects through the post CA test. As a result, for Normal Storytelling Class (NSC), there was no meaningful difference in the ex ante and ex post CA test results. However, for Digital Storytelling Class (DSC), there was a meaningful difference in regards to the communication apprehension subgroup. Also, between the two NSC and DSC groups' post CA results, there was a meaningful difference in mathematics lesson and subgroup factors. Consequently, these results suggest the appliance of Digital Storytelling helps lower CA in $6^{th}$ graders participation in math class and subgroup.

• Journal of Korea Society of Digital Industry and Information Management
• /
• v.15 no.2
• /
• pp.71-85
• /
• 2019

The importance of the NCS(National Competitiveness Standards) is growing as the job market shrinks and more institutions require hiring based on NCS. Of the ten domains of NCS', the most relevant one with the performance of all tasks is basic capability group. The purpose of this study is to investigate the effect of college students' basic capability group(communication capability, mathematical capability) on their career preparation behavior. In this study, we set up a process model to comprehend the effect of college students' basic capability group on career preparation behavior based on social cognitive career theory. For research model testing, 561 questionnaires were used for empirical analysis through structural equations modeling. Empirical analysis showed that communication capability positively influenced college students' career preparation behaviors for employment. But, mathematical capability don't influenced college students' career preparation behaviors for employment. Next, career self-efficacy and career outcome expectation each positively influenced college students' career preparation behaviors for employment. Also, interest in the major positively influenced college students' career preparation behaviors for employment. The academic implications are as follows: Career self-efficacy and interest in the major were important factors in the communication capability. The process of communication capability affecting career preparation behavior and interest in the major was explained through social cognitive career theory and self-efficacy. The practical implications are as follows: Administrative assistance should be provided to improve the career self-efficacy of college students.

• The Mathematical Education
• /
• v.42 no.1
• /
• pp.11-18
• /
• 2003

One of the terms that are most often used in mathematics classrooms by either teachers or students might be about 'understanding' of mathematical concepts. Although 'understanding' in mathematics teaching and learning has been highly emphasized by many people, there is no exact and undebatable definition of 'understanding' as of yet. This paper tries to contribute to unfolding the meaning and the structure of understanding in mathematics education along with various literature and finally enhance our understanding of 'understanding' in mathematics education.

• School Mathematics
• /
• v.5 no.4
• /
• pp.459-476
• /
• 2003

Internet was introduced to this study for making mathematics class the surroundings where students can solve the mathematics problems and communicate mathematically in a free way without restriction of time and place. With the intention of investigating mathematical communication and problem solving in mathematics education using internet, the objects of this study were determined as follows: First, how does a student express mathematical idea in problem solving using internet\ulcorner Second, is there any difference in the degree of participation of mathematical communication according to schoolwork accomplishment and characteristics of the student\ulcorner Third, what's the effect of class using internet on problem solving of mathematics class\ulcorner A case study was executed for the solution and the subjects were all students(44 persons) of a class in the fourth grade of elementary school in D city got into web-site of internet and had class with it and 8 students out of them were deeply analyzed. Their results were shown on internet, and eight of them had interview for deep research after survey with questionnaires for all of the students after class. The results and the conclusions of this study were as follows: First, it showed that there was various types(simple statement, fact enumerating, logical thinking, using letters and formula, insufficiency of explanation) of the mathematical idea expression in internet according to students and study using internet seems to be helpful to the improvement of logical his own expression through other students' expression. Second, it showed that there was difference in mathematical communication participation according to the student's characteristics and it helped students of poor schoolwork be interested and confident in mathematics. Third, it showed that pattern study using internet had effect on forming a habit of reason and verification in problem solving in mathematics class. Accordingly, pattern study using internet seems to have a positive effect on increasing mathematical interests and solving problems in mathematics class.