• The Mathematical Education
• /
• v.55 no.4
• /
• pp.503-522
• /
• 2016

The purpose of this study is to investigate the effects of peer-to-peer relay feedback strategy on achievement in mathematical problem solving and mathematical communication ability. The experimental instruction was given to 99 students. They were divided into two groups. In this research a strategy of peer-to-peer relay feedback is developed. To enhance lateral communication, students were instructed according to the strategy to read open-type problems, to write mathematical ideas individually and to share their ideas and get feedback in relay method with peers within a small subgroup. The results are as follows. 1) Mathematics achievement assessments were carried six times in the cleanup phases of the class. There was no difference at the 1st test. 2) The second t-test of mathematical communication abilities showed that there was meaningful difference and that peer-to-peer relay feedback was effective. But there was no difference on reading. 3) Peer-to-peer relay feedback strategy has a positive impact.

• Journal of Elementary Mathematics Education in Korea
• /
• v.21 no.4
• /
• pp.621-641
• /
• 2017

The purposes of this study were to identify the characteristics of students with different cognitive styles in the communication process according to the types of mathematical tasks and investigate the effects of their cognitive styles and types of mathematical tasks on their mathematical communication. For this, the investigator selected subjects according to the field dependent-field independent cognitive style by Witkin et al.(1977, p. 7). Mathematical tasks were developed in the areas of numbers and operations, regularity, and measurement according to the four types of Stein & Smith(1998, p. 269), which include the Memorization, Procedures without Connections, Procedures with Connections, and Doing Mathematics tasks. The selected students were divided into homogeneous groups according to their cognitive styles, and their communication processes according to the four types of mathematical tasks were observed through participation and videotaped. The videotapes were then transcribed and analyzed in protocols. The conclusions is that mathematical tasks of high cognitive level had positive effects on the activation of significant mathematical communication among the students and that differences in approaches to tasks according to their cognitive styles influenced their communicative activities in speaking and listening.

• Journal of Elementary Mathematics Education in Korea
• /
• v.23 no.3
• /
• pp.347-363
• /
• 2019

The purpose of this study was to investigate the effects of communication - oriented mathematical writing strategies on students' mathematics achievement and mathematical propensity. In order to achieve the purpose, three types of communicative math writing learning strategies such as writing their own thoughts and feelings, writing problem solving process, and explaining the mathematical concepts. In the comparative group, general lessons based on textbooks and tutorials were conducted. As the results, the students in the experimental group showed a significant improvement in mathematics achievement and a positive effect on the mathematical propensity as compared with the comparison group.

• Journal of Educational Research in Mathematics
• /
• v.11 no.1
• /
• pp.207-221
• /
• 2001

The purpose of this study is to develop the assessment rubric of mathematical communication ability by each type: listening, speaking, reading, writing, and graphic. This rubric is qualified in the content-validity and reliability by professional educators' evaluation and correlation coefficient. 16 math educators judged that this involves the results of learning mathematical communication, the results of possible instruction, and the content of scoring mathematical communication by teachers. 170 middle school students were tested by the assessment task according to the types of mathematical communication. After two researchers and two teachers scored the tasks, correlation coefficient was calculated between evaluators. The coefficient is evaluated high in that it is more than 0.70.

• East Asian mathematical journal
• /
• v.38 no.2
• /
• pp.165-185
• /
• 2022

The six core competencies have been emphasized in the mathematics curriculum revised in 2015. In particular, the communication is very important for students' representing their own thinking and enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the communication such as the understanding of mathematical representation, development and transition of mathematical representation, the representation of his own thinking, the understanding of the others' thinking. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the communication competency were shown in each textbook.

• Journal of Elementary Mathematics Education in Korea
• /
• v.10 no.1
• /
• pp.43-66
• /
• 2006

This study was proposed to analyze mathematical communication activity and mathematical attitudes while students were solving project problem and to consider how the conclusions effects mathematics education. This study analyzed through qualitative research method. The questions for this study are following. First, how does the process of the mathematical communication activity proceed during solving project problem in a small group? Second, what reactions can be shown on mathematical attitudes during solving project problem in a small group? Four project problems sampled from pilot study in order to examine these questions were applied on two small groups consisting of four 5th grade students It was recorded while each group was finding out the solution of the given problems. Afterward, consequences were analyzed according to each question after all contents were noted. Consequently, conclusions can be derived as follows. First, it was shown that each student used different elements of contents in mathematical communication activity. Second, during mathematical communication activity, most students preferred common languages to mathematical ones. Third, it was found that each student has their own mathematical attitude. Fourth, Students were more interested in the game project problem and the practical using project problem than others.

• Journal of Elementary Mathematics Education in Korea
• /
• v.15 no.3
• /
• pp.619-640
• /
• 2011

The study aims the introducing the items for the assessment of mathematical thinking including mathematical reasoning, problem solving, and communication and the analyzing on the responses of the 5th grade pupils. We categorized the area of mathematical reasoning into deductive reasoning, inductive reasoning, and analogy; problem solving into external problem solving and internal one; and communication into speaking, reading, writing, and listening. And we proposed the examples of our items for each area and the 5th grade pupils' responses. When we assess on pupil's mathematical reasoning, we need to develop very appropriate items needing the very ability of each kind of mathematical reasoning. When pupils solve items requesting communication, the impact of the form of each communication seem to be smaller than that of the mathematical situation or sturucture of the item. We suggested that we need to continue the studies on mathematical assessment and on the constitution and utilization of cognitive areas, and we also need to in-service teacher education on the development of mathematical assessments, based on this study.

• The Mathematical Education
• /
• v.47 no.1
• /
• pp.27-47
• /
• 2008

In this paper, we study the effect of writing activity as mathematical communication on the students's mathematics achievement, learning attitude, and mathematical tendency. For this purpose, we construct a experimental class and then analyze the students' change in those aspects after applying three-divided-note writing activity and colleague feedback on their works those students are in the experimental class. As a result of the experiment, we find that three-divided-note writing activity and colleague feedback made some significant changes on the students achievement in mathematics, learning attitude, but does not affect on mathematical tendency. We also offer some suggestions for further research. Firstly, the mathematical communication ability must be stressed in mathematics education. For this purpose, we need to develop the teaching and the evaluation method to use not only writing but also reading, speaking, and listening skills so that many teachers can apply this method easily to their classes. Second, we need to fix some realistic problems such as fair evaluation , the numbers of students per class, the numbers of lesson, and too much extra-work, and so on. Thirdly, we suggest to explore some methods for extending three- divided-note writing activity to evaluate mathematical essay and to study educational effects of colleague feedback on mathematics performance assessment.

• Journal for History of Mathematics
• /
• v.21 no.1
• /
• pp.157-166
• /
• 2008

Mathematical communication is an important goal of recent educational reform. The NCTM's Principle and Standards for School Mathematics, consulting an emphasis on mathematical discourse from 1991 Professional Standards for Teaching Mathematics, has a Communication Standard at each grade level. This paper examines Socrates's educational philosophy and the mathematical dialogue in Plato's. Further it examines mathematical dialogues between teachers and students from antiquity through the nineteenth century.

• Journal of the Korean School Mathematics Society
• /
• v.18 no.1
• /
• pp.15-37
• /
• 2015

As the value and importance of mathematical communication was recognized, mathematical communication in mathematics education has been strengthened more and more. Written communication as well as verbal communication is emphasized. On the other hand, storytelling is introduced for elementary students to learn mathematical concept more naturally and easily in the 2009 revised curriculum. So, we noticed that they are familiar with story. In this study, we analyze the story writing activity levels with a focus on story writing, and how to think about it. And we offer some suggestions about mathematical story writing activity.