• Research in Mathematical Education
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• v.12 no.2
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• pp.85-108
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• 2008

In this study, we created, implemented, and evaluated the impact of proportional reasoning authentic investigative activities on the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers. For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher training programs conducted in Israeli teacher colleges. The model was developed following pilot studies investigating the change in mathematical and pedagogical knowledge of pre- and in-service mathematics teachers, due to experience in authentic proportional reasoning activities. The conclusion of the study is that application of the model, through which the pre-service teachers gain experience and are exposed to authentic proportional reasoning activities with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive change in the pre-service teachers' mathematical content and pedagogical knowledge. In addition, improvement occurred in their attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular.

• Research in Mathematical Education
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• v.27 no.3
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• pp.317-334
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• 2024

Technology has potential to support mathematics teaching and learning when technology is used in specific ways. This study examines how the use of mathematics learning technologies (MLTs) promotes students' Access, Power, and Achievement, as defined by Gutiérrez' (2009, 2012) equity-based framework. The article includes two cases that were collected during the authors' time engaging with students in mathematics classrooms through work in elementary school classrooms. The inductive qualitative analysis of data conducted during teaching episodes concluded that teachers' launch of the activities that used MLTs and their support during MLT use influenced students' Access, Power, and Achievement. Specifically, the more support that a teacher provided with direct telling was associated with decreases in Access and Power. There was also evidence of student engagement and Achievement based on teachers' actions during MLT activities. The article concludes with implications to support teachers' enactment of specific pedagogies during the use of MLTs in order to promote Access, Power, and Achievement.

• East Asian mathematical journal
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• v.34 no.4
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• pp.487-509
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• 2018

We analyse the map of the west capital Pyongyangbu of Old Korea(AD 920) by topological method and geometrical method and compare it with the map of North Korea Pyongyang. By the analyse of the map we find the real place of the old map. The analysing and finding the real place of the old map is a very good example of geometry education. Many Koreans had learned and recognized that Old Korea(AD 920) was a small country located in the south part of Ablok river. But, after reading this paper they change their old recognitions and they take prides in Great Old Korea.

• Journal for History of Mathematics
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• v.27 no.3
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• pp.211-231
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• 2014

Although Monty Hall dilemma is used in many areas including philosophy, economics, and psychology, it is used in the current mathematics textbooks only as a material for reading or one of probability questions. The present study tries to explore students' understanding of Monty Hall dilemma through a class case. In this study, a group of high-school students participated in group activities, in which they read an argument about Monty Hall dilemma, and tried to resolve it through small-group and whole-class discussions, and then studied the conditional probability. The analysis supports the studies in psychology that intuitive understandings on probability do not change easily, and that counter-intuitivity in Monty Hall dilemma induces confusion and offers a basis for discussions among students. Similar results are anticipated when other dilemmas on probability are used.

• The Mathematical Education
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• v.46 no.4
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• pp.465-482
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• 2007

The purpose of this study was to explore how pre-service elementary school teachers participate in a course specifically designed to help them learn how to analyze instruction in terms of the levels of cognitive demand of mathematical tasks. This paper describes what prospective teachers learned while reading the cases of "implementing standards-based mathematics instruction", analyzing all tasks of one unit in one elementary mathematics textbook, observing master teachers' mathematics instruction as well as their colleagues during the practicum period, and developing their own cases on the basis of the design and implementation of instruction focused on mathematical tasks. This paper includes various reflections of the prospective teachers.

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

• The Mathematical Education
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• v.54 no.3
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• pp.207-222
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• 2015

Mathematics preservice teachers' Mathematical Content Knowledge ("MCK") includes not only knowledge for mathematics, but also academic knowledge for school mathematics and mathematical process knowledge. We can consider the items in PISA 2012 as suitable tools to assess process knowledge as well as mathematical content knowledge because these items are developed by competent international educational experts. Therefore, the responses to items with the low percentage of correct answers in conjunction with the mathematical contents were analyzed with focus on FMC. The results showed the reasoning competency in responses using the conditions of the problem and of understanding the conditions after reading the complex problems within the context (i.e. the reasoning and argumentation competency, and communication competency) requires improvements. Furthermore the results indicated the errors due to a lack of ability of devising strategies for problem solving. Based on the foregoing results, the implications towards the directions of the education for the preservice mathematics teachers have been derived.

• Proceedings of the Korea Contents Association Conference
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• 2018.05a
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• pp.245-246
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• 2018

본 연구는 일반학생과, 수 과학 영재학생의 영어읽기에서의 메타인지 읽기전략의 차이를 알아보는데 목적이 있다. 일반학생 98명, 과학영재 79명, 수학영재 86명이 본 연구에 참여하였다. 이들의 메타인지 읽기전략을 알아보기 위해 MARSI설문지를 사용하였고, 그 자료는 one-way ANOVA로 분석하였다. 그 결과 수학과 과학영재 사이의 영어읽기 과정 중 메타인지 읽기전략의 사용에서는 통계적으로 유의미한 차이는 보이지 않았지만, 수 과학 영재학생들과 일반 학생들 사이의 메타인지 읽기전략사용에서는 통계적으로 유의미한 차이를 보였다.

• East Asian mathematical journal
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• v.25 no.3
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• pp.299-320
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• 2009

In mathematics, the education of the geometry proof has been playing an important role in promoting the ability for logical thinking by means of developing the deductive reasoning. However, despite of those importance mentioned above, considering the present condition for the education of the geometry proof in middle schools, it is still found that most of classes are led mainly by teachers, operating the cramming system of eduction, and students in those classes have many difficulties in learning the geometry proof course. Accordingly this thesis suggests the other method that is distinguished from previous proof educations. The thesis of Kai-Lin Yang and Fou-Lai Lin on 'A Model of Reading Comprehension of Geometry Proof (RCGP)', which was published in 2007, have various practical examples based on the model. After composing classes based on those examples and instructing the geometry proof, found out a problem. And then advance a new teaching model that amendment and supplementation However, it is considered to have limitation because subjects were minority and classes were operated by man-to-man method. Hopefully, the method of proof education will be more developed through performing more active researches on this in the nearest future.

• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.277-289
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• 2016

This study is to figure out the activity of individual education with the note-taking in math class and correction and supportive explanations on attitudes toward learning of underachievers in mathematics in the second-year class of high school. This study has begun on the basis of the judgement that the note-taking especially correction and supportive explanations could help the underachievers in mathematics focus in class and develop good learning habits, and besides, students make a good relationship with teacher. According to this result, Many researches and exertions need to inform every student that mathematics is open and doing mathematics is a happy object. if the students who are underachievers were given the chance to organize their learning by themselves in the class with note-taking and correction and supportive explanations in the long-term, it should be effective enough to change their attitudes toward learning.