• Education of Primary School Mathematics
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• v.7 no.1
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• pp.15-29
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• 2003

The present study examined the 7th national elementary school mathematics curriculum from a perspective of mathematical creativity. The study investigated to what extent the activities in the Pattern and Function lessons in the national elementary school mathematics textbooks promoted the development of mathematical creativity. The results indicated that the current elementary school mathematics curriculum was limited in many ways to promote the development of mathematical creativity. Regarding the activities in Pattern lessons, for example, most activities presented closed tasks involving finding and extending patterns. The lesson provided little opportunities to explore the relationships among various patterns, apply patterns to different situations, or create ones own patterns. In regard to the Function lessons, the majority of activities were about computing the rate. This showed that the function was taught from an operational perspective, not a relational perspective. It was unlikely that students would develop the basic understanding of function through the activities involving the computing the rate. Further, the lessons had students use exclusively the numbers in representing the function. Students were provided little opportunities to use various representation methods involving pictures or graphs, explore the strengths and limitations of various representation methods, or to choose more effective representation methods in particular contexts. In conclusion, the lesson activities in the current elementary school mathematics textbooks were unlikely to promote the development of mathematical creativity.

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.365-382
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• 2003

This study intends to develope and apply mathematical activities for gifted students. According to the Polya's research and Krutetskii's study, mathematical activities were developed and observed. The activities were aimed at discovery of Euler's theorem through exploration of soccer ball at first. After the repeated application and reflection, the aim and the main activities were changed to the exploration of soccer ball itself and about related mathematical facts. All the students actively participated in the activities, proposed questions need to be proved, disproved by counter examples during the fourth program. Also observation, conjectures, inductive arguments played a prominent role.

• 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.

• East Asian mathematical journal
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• v.27 no.4
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• pp.391-415
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• 2011

Mathematics is to reflect on your or other people's psychological mathematic activities. Thus, learners need to reflect on their mathematical activities in order to cultivate mathematical thinking attitude and perceive learning contents. For this study, first of all, two classes of the fifth grade (29 students in experimental group and 31 students in control group) in 'Y' elementary school in Dae-gu city were selected as research targets and post-test of learning achievement and mathematical attitude examination were carried out in order to verify the differences of learning achievement and mathematical attitudes between experimental and control groups. The findings of this study mean that students' learning achievement and mathematical attitudes can be improved by applying mathematical reflective activities to the actual class.

• Research in Mathematical Education
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• v.25 no.2
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• pp.99-115
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• 2022

This study examined difficulties middle school students have in learning mathematics and proposed a flipped classroom consisting of Khan Academy activities, small-group problem solving, and mathematical modeling to help improve their learning. A mixed-method approach was used to identify difficulties students have in learning mathematics, explore how the flipped classroom helped them reduce the learning difficulties identified, and examine if there were differences in students' mathematics achievement and their affective characteristics after participating in the flipped classroom. Qualitative analyses showed that students had difficulties in understanding mathematical concepts and finding effective ways to learn as well as negative views towards learning mathematics. This study also found that each activity of the flipped classroom had a different impact on student learning. Before class, the Khan Academy activities were most likely to help students understand mathematical concepts. In class, small-group problem solving activities were most helpful for students who had trouble finding effective learning methods and environments. Mathematical modeling activities were most likely effective in changing students' negative views towards mathematics. A quantitative analysis showed that the flipped classroom not only significantly improved the students' mathematics achievement, but also positively affected their confidence and motivation and how much they valued learning mathematics.

• 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.

• Education of Primary School Mathematics
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• v.7 no.1
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• pp.1-14
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• 2003

The purpose of this research is to explore teachers' role actions in teaching mathematical problem solving and to analyze the influences of the teachers'role actions on their students' activities and beliefs about problem solving. The results obtained in this study suggested that the teachers' role actions brought qualitative differences to students' activities, and students' beliefs about mathematical problem solving were consistent with the perspective held by their teachers. Therefore, teachers should help students build up desirable beliefs about problem solving. They should understand teaching mathematical problem solving and play proper roles in various situations of teaching mathematical problem solving.

• The Mathematical Education
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• v.49 no.4
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• pp.463-488
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• 2010

The purpose of this study was providing implications in teaching and learning activities to vitalize mathematical communication and to raise positive attitudes about mathematics. We analyzed mathematical communication, disposition and attitudes of the students who had lower mathematical achievement rather than that of Korean language in class using reading materials and strategies. We found that teaching-learning activities using the reading materials and strategies let the low achievers in mathematics communicate more about mathematical notions and problem-solving process actively. The activities triggered interests and attention of mathematics and self-study. In addition, the lessons with reading materials and strategies aroused confidence, will and responsibility to mathematics learning to the students. They made the learners notice mathematics' values and roles and gave the opportunity of reflection about students' learning processes. As a result, the teaching-learning using reading materials and strategies should be developed and accomplished actively in classroom to turn mathematical inclination and attitudes of the students who had had negative inclination and attitudes to mathematics into those of positive and to vitalize mathematical communication to the lower achievers in mathematics.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.47-61
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• 2011

The purpose of this study is to suggest a professional development system for elementary teachers who wish enhance mathematical teaching. The learning community on elementary mathematical teaching was composed of fourth grade teachers in a elementary school and an expert from education university. The activities was processed as establishing of objectives and contents of the learning community, discussing and seeing good lesson video, planning the lesson in collaboration with members, practicing the lesson, and reflecting on activities. To analyze these activities, record materials of meetings, lesson videos, member's writing were used. The results reported that the learning community lead teachers to search the method of professional development and showed itself as the effective media to enhance elementary mathematical teaching professionalism.

• The Mathematical Education
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• v.49 no.2
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• pp.223-246
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• 2010

Goos(2004) introduced educational researchers' demand for change on the way that mathematics is taught in schools and the series of curriculum documents produced by the National council of Teachers of Mathematics. The documents have placed emphasis on the processes of problem solving, reasoning, and communication. In Korea, the national curriculum documents have also placed increased emphasis on mathematical activities such as reasoning and communication(1997, 2007).The purpose of this study is to analyze the impact of inquiry-oriented instruction with guided reinvention on students' mathematical activities containing communication and reasoning for science high school students. In this paper, we introduce an inquiry-oriented instruction containing Polya's plausible reasoning, Freudenthal's guided reinvention, Forman's sociocultural approach of learning, and Vygotsky's zone of proximal development. We analyze the impact of mathematical findings from inquiry-oriented instruction on students' mathematical activities containing communication and reasoning.