• Communications of Mathematical Education
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• v.38 no.2
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• pp.187-213
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• 2024

This study aims to investigate the impact of mathematical journal writing activities on sixth-grade students' mathematics anxiety and the 'writing' aspect of mathematical communication. For this purpose, 27 sixth-grade students participated in 14 sessions of mathematical journal writing activities while learning division with fractions and decimals. Mathematics anxiety was measured using a questionnaire, with pre- and post-test results statistically analyzed. Mathematical communication in the 'writing' domain was quantitatively measured using an analytical framework to track changes in levels. Additionally, 13 students were interviewed to examine the impact of journal writing on mathematics anxiety and mathematical communication in more detail. The study found that among the four main factors of mathematics anxiety, there was a significant reduction in the subject-specific and environmental factors. The average levels of 'expression' and 'explanation' in the 'writing' domain of mathematical communication gradually increased, with specific teacher feedback supporting improvements in students' communication levels. Based on these findings, the study suggests implications for the use and guidance of mathematical journal writing activities in school settings.

• Communications of Mathematical Education
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• v.30 no.3
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• pp.263-280
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• 2016

This study aims to examine the impact of RUBRIC writing on students' mathematical modeling. By analyzing 23 tenth grade students' responses to seven problems related to mathematical modeling, we found that the students who used RUBRIC writing could not only get more correct answers but also could use more various representations and mathematical models than the students who did not use it. The students with RUBRIC writing also could translate between reality and mathematics more appropriately, and better explain the process to solve the problem than the counterpart. It implies that RUBRIC writing can help improve students' mathematical modeling and problem solving as an alternative instruction and assessment.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.131-154
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• 2014

The purpose of this study was to examine the effect of essay writing-centered mathematics instruction on problem solving and mathematical deposition in the elementary school. For the present study, two 6th grade classes with equivalent achievement in terms of problem solving and mathematical disposition based on the pretest. A total of 15 mathematics lessons focused on writing activities were administered to the experiment group for two months, while the textbook-based traditional lessons were given to the comparison group. Both quantitative and qualitative methods were adopted to analyze the data. The results of the present study showed that essay writing-centered mathematics teaching is statistically superior that the textbook-based mathematics teaching with respect to students' problem solving and mathematical disposition. In addition, it was evidenced that essay writing-centered mathematics instruction makes an influence on students' perceptions toward essay-based assessment in a positive way.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.289-306
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• 2009

In this study, pre-service teachers who would be mathematics teachers of secondary school wrote the journal about learning mathematics. Journal writing helped pre-service teachers' math learning. Pre-service teachers could think mathematics reflectively, inquire it, represent their affectivity, plan the self-directed learning, and have the records of learning. They considered the educational issues as instructional methods, organization and management of instruction, assessment, and attitude of teacher. As well, they thought that journal writing was important in learning mathematics and how they would apply their students. Journal writing was meaningful to pre-service teacher education in cognitive and situative aspects.

• The Mathematical Education
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• v.60 no.3
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• pp.297-319
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• 2021

The present study explored a relationship between mathematical understandings of teachers and ways in which their knowledge transferred in designing lessons for hypothetical students from Gess-Newsome (1999)'s transformative perspective of pedagogical content knowledge. To this end, we conducted clinical interviews with four secondary mathematics teachers of their solving and teaching of equation writing. After analyzing the teacher participants' attention to Key Developmental Understandings (Simon, 2007) in solving equation writing, we sought to understand the relationship between their mathematical knowledge of the problems and mathematical knowledge in teaching the problems to hypothetical students. Two of the four teachers who attended the key developmental understandings solved the problems more successfully than those who did not. The other two teachers had trouble representing and explaining the problems, which involved reasoning with improper fractions or reciprocal relationships between quantities. The key developmental understandings of all four teachers were reflected in their pedagogical actions for teaching the equation writing problems. The findings contribute to teacher education by providing empirical data on the relationship between teachers' mathematical knowledge and their knowledge for teaching particular mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.2
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• pp.137-160
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• 2007

Within the field of mathematics education there is an active movement which attempts to apply more beneficial learning activities, like mathematical writing activities, for the students. In this context, the current study attempts to identify elementary school students' cognitive and affective aspects as they participate in a novel writing activity, the 'mathematical fairy tale.' Some positive outcomes from the mathematical fairy tale writing activities were as follows: First, from these mathematical writing activities, students began to reconstruct and adapt the mathematical contents they've learned through their reflective thinking. Second, while the mathematical fairy tale writing activities were going on, the communication of mathematics was greatly animated between the students, and they could get the restudying chance about they've learned. Third, from these mathematical writing activities, many of students became discover the practical using case of the mathematical contents they've learned and they perceived the necessity of the mathematics learning. Forth, from these mathematical writing activities, most of students felt the delights of the mathematics learning and the achievement, so they indicated that their attitude for the mathematics course was changed positively. Lastly, students began to concentrate on their mathematics learning through participation in mathematical fairy tale writing activities of their own accord.

• Journal of the Korean School Mathematics Society
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• v.9 no.1
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• pp.77-92
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• 2006

In this paper, we saw how high school students have affection mathematical journal writing and how mathematical journal writing affects high school students mathematical attitude we got the conclusion of this research through case study as following; First, through mathematical journal writing, while research participants feel sense of accomplishment, feel buren about exposure of their own ideas. Second. mathematical journal writing makes students. think self-examination and benefits mathematical comprehension process. Third, mathematical journal writing changes students' studying attitude positively and makes students participate actively in class.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.207-223
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• 2013

Teachers unfold a series of timeless mathematical symbols such as 5+2=7 in time by verbalizing the symbols in classrooms. A number sentence 5+2=7 is read in Korean as '5 더하기 2는(five plus two) 7과(seven) 같다(equals). Unlike in English, 5+2 and 7 are read first before the equal sign in Korean. This sequence of reading in Korean conflicts with the conventional linguistic sequence of writing from left to right. Ways of resolving the discrepancy between reading and writing sequences can make a difference students' understanding of the equal sign. Students would be in danger of perceiving the equal sign as an operational symbol, if a teacher resolves the discrepancy by subordinating reading sequence to linguistic convention of writing. This way of resolving results in the undesired phenomenon of changing the reading expressions in Korean elementary math textbook which represent relational notion of the equal sign into other reading expressions that represent operational notion of it. For understanding of relational notion of the equal sign, the discrepancy should be resolved by changing writing sequence in accordance with reading sequence. In addition, teaching of verbalizing the equal sign should be integrated with teaching of verbalizing inequality signs.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.21-42
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• 2006

The purpose of this study is to identify the influences of the reciprocal writing-reflection activities on the mathematical learning of the 2nd grade students by developing a class model using reciprocal writing-reflection activities method as one of the interactive application of manipulative activities, reflective thought and communication activities which are the learning principles of constructivism. We have experimented and investigated to after dividing experimental objects into two group, experimental groups and comparative group, The conclusions of this study are followings. First, reciprocal writing-reflection activities showed significant effects on mathematical achievements of the group with lower achievements in learning. Second, reciprocal writing-reflection activities positively influenced mathematical tendency of the students. Third, the students had positive attitudes in interest, desire and usefulness regarding reciprocal writing-reflection activities. And reciprocal writing- reflection activities are helpful for their reflective thinking and communication activities.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.525-548
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• 2010

How to enhance the ability of underachieve students are unsolved problems for mathematics teachers despite of their best efforts to teach them. The purpose of this study is to explore the effectiveness of mathematical journal writing as a method of improving the mathematical attitudes and achievements for underachieve students. Seven students whose performances were below 40% on the final exam in the 1st semester were recruited in order to gather empirical data. Before journal writing procedures, the subjects' characteristics, learning styles and mathematical attitudes were investigated through personal interview and mathematical attitude test. After six-week journal writing, follow-up survey and mathematical attitude test were conducted. The results of this research are as follows: Mathematical journal writing had a positive effect to underachieve students on improving confidence in mathematics and a positive influence on active and effective learning attitude. And mathematical journal writing had an effect on improvement in their mathematics achievement comparing first semester's final exam with second semester's mid-term exam. Finally mathematical journal writing contributes positively to the relationship between students and their teacher.