• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.17-32
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• 1997

Open education is carried out and studied in both phases of theory and practice in Korean elementary schools in these days. 1 introduced three open teaching and learning methods which we can use practically in elementary school mathematics education. They are the teaching and learning by open-end-approach, From problems to problems and Problem posing. First, I illustrate each meaning of three teaching and learning methods. Next, I presented the concrete plans of each teaching and learning method, and exhibited some examples of students' own works.

• School Mathematics
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• v.3 no.2
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• pp.325-354
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• 2001

The study aims to develop balanced performance assessment tasks for primary school mathematics which can be implemented in the primary school easily. In order to these purposes, I suggest the types of performance assessment tasks and the framework of assessment standards for the balanced performance assessment with describing the procedures of developing tasks and rubrics. The types of task are journal writing, problem posing, constructed task, and descriptive task. In the framework of assessment standards, I suggest holistic scoring which are classified as four levels according to the degree of excellence which students perform totally concerning about the criterion of implication, reasoning, accuracy, and communication. Also I analyse the responses of children to the task “make a beautiful pattern” and suggest its assessment rubric and anchor papers for each level for illustrating the process of developing a rubric in holistic scoring. In order to reflect the viewpoints of children and their Parents concerning about the tasks, the responses in self assessment and parent assessment are analysed. Finally, methods of implementing the assessment tasks and considerations are discussed.

• School Mathematics
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• v.4 no.1
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• pp.97-109
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• 2002

In this paper, tangram-like puzzles which are made by dissecting square are introduced. Especially, tangram-like puzzles which are consists of five pieces, six pieces, seven pieces, eight pieces, nine pieces, ten pieces, twelve pieces, fourteen pieces are introduced. But, This Introduction is very superficial. It means introduction is focused on each piece's geometrical shape, relative area when each tangram-like puzzles' area is one. With this introduction, six tangram-like puzzles' implication in mathematics education are suggested as followings. (1) Tangram-like puzzles may help fostering spatial senses. (2) Tangram-like puzzles may help teaching polygons, and its properties, congruences, similarities, etc. (3)Tangram-like puzzles may help teaching additions of fractions. (4) Tangram-like puzzles may help fostering mathematical thinking. (5) Tangram-like puzzles may serve as topics for supplement or reinforcement in teaching and learning tangram. (6) Tangram-like puzzles may serve as topics for problem posing in teaching and learning tangram.

• School Mathematics
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• v.2 no.2
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• pp.333-355
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• 2000

In this paper, possibility of practical use of cryptarithmetic problems in teaching and learning of mathematics is discussed. There might be seven cases to use them practically like followings: (1) Cryptarithmetic problems might be used for deepening the mathematical knowledges. (2) Cryptarithmetic problems might be used for fostering mathematical thinking abilities. (3) Cryptarithmetic problems might be used for fostering problem solving abilities. (4) Cryptarithmetic problems might be used as open ended problems. (5) Cryptarithmetic problems might be used as materials for personalized learning. (6) Cryptarithmetic problems might be used as materials for cooperative learning. (7) Cryptarithmetic problems might be used as materials for problems posing.

• Journal of the Korean Society of Earth Science Education
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• v.5 no.3
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• pp.287-296
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• 2012

This research analyzed elementary teacher's scientific questioning during science teaching. This research studied 4 elementary school teachers in Gyeongnam were observed and the classes were videotaped. all teacher's questioning and student's answering were transcribed. Teacher's questionings were categorized into 2 types such as simple questions and productive questions. The findings of the research were as following. First, in the teaching-learning activities of the science subject, teacher-student conversation was used 202 times on average, and questions asked by the teachers were 72 times on average. The teachers use productive questions more than simple questions. Second, in the type of simple questions, management questions were used the most, and the next were simple confirmation questions and rethink questions in order. Third, productive questions used by the teachers in the class were mostly the attention-focussing questions, but the type of higher level questions such as problem-posing questions, comparing questions, action questions and reasoning questions was rarely adopted.

• Journal of information and communication convergence engineering
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• v.8 no.3
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• pp.251-257
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• 2010

The realization of u-City is coming near in some local governments by applying various city services, namely, u-City services to the city construction field to improve competitiveness of the city. But it is a reality that some local governments are experiencing many trial and errors in application of the u-City service in addition to the problem posing that the u-City service is not considering characteristics of development or application environment of an individual city. The present research proposes a service model for on-site application of the u-City service to solve this problem. The proposed model suggests a method for specifically conceptualizing and objectifying the on-site application that the existing concept-oriented model or an architecture-oriented model, etc. didn't provide. The verification system on effectiveness or effects of the u-City service model to remove ambiguity on the u-City service especially. The verification system of the u-City service model grasps the technology, function, procedure and target, etc. that the u-City service contains, evaluates whether the model satisfies conditions that the model should have, and secures objectivity and predictability of the u-City service model through confirmation on propriety, implementation and effectiveness, etc.

• School Mathematics
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• v.11 no.2
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• pp.207-225
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• 2009

Well posed problems for mathematically gifted students provide an effective method to design 'problem solving-centered' classroom activities. In this study, we analyze mathematical problems posed by teachers in distance learning as a part of an advanced training which is an enrichment in-service program for gifted education. The patterns of the teacher-posed problems are classified into three types such as 'familiar,' 'unfamiliar,' and 'fallacious' problems. Based on the analysis on the teacher-posed problems, we then suggest a practical plan for teachers' problem posing practices in distance learning.

• East Asian mathematical journal
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• v.31 no.4
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• pp.505-525
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• 2015

The purpose of this study is to analyze teaching method of addition and subtraction of whole number in Korea and New Zealand lower grade textbook and to get some suggestive points to develop mathematics curriculum and for a qualitative improvement of textbook. To do this, we will analyze focusing on teaching material, type and method of teaching, cases of real teaching and in the case of New Zealand, we will analyze portfolios together to see what kind of things do they deal with related to addition and subtraction. From these analyzing, the results are as follows: First, the guideline of accomplishment of group of year are stated in 2009 revised curriculum in Korea but it is rough. On the other hand, the level of accomplishment from kindergarten to high school are stated divided by eight kinds of thing in New Zealand curriculum. Second, there were common and different points in the aspect of teaching material. The common points are that both of our Korea and New Zealand are using materials related to real life intimately and the diifferent points are to use technology such as calculator and computer. They are more widely used in New Zealand than our Korea. Third, Korea had used routine method mainly but New Zealand had used method to develop creativity of learner such as to write problem corresponding to expression, posing problem corresponding to information, to complete table and find pattern and to write word problem to explain pattern and so on. Fourth, we could see special calculation strategies in the case of teaching addition and subtraction such as concept of double, compensation, various strategy based on counting of number, addition of the same number, magic square, near-double which are not finding in our mathematics textbook. Fifth, in the New Zealand textbook they had used teaching methods inducing curiosity of learner such as finding message and puzzle problem than solving given problem simply.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.6
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• pp.683-688
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• 2018

In the 21stcentury, teachers must welcome new technology to ensure the best learning in virtual classrooms, aside from the physical classroom. Google Classroom provides a vital chance to promote blended learning and professional development. The purpose of this study is to specify the procedures in problem design when employing blended problem-based learning (BPBL) and to design problems for learning the contents of the subject. The design of problems is crucial for effective BPBL. The underlying theory of BPBL is that learning is most effectively initiated and facilitated by posing and solving real-life problems that interest the learner, because working on such problems makes learning meaningful and motivates students. Ineffective problem-based learning (PBL) could affect students when acquiring sufficient domain knowledge, activating appropriate prior knowledge, and properly directing their own learning. The procedures for designing good problems are composed of the selection of educational content, figuring out the learner's characteristics, finding problems, setting up roles and situations, and writing down problems. Using these procedures, we designed five integration problems covering the contents of management subjects. Planned management subjects based on BPBL in a Mongolian university focuses on the process of designing problems.

• Journal of the Korean School Mathematics Society
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• v.17 no.1
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• pp.45-71
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• 2014

In learning the conic session, there is a gap between the curricula of the high school and the university level for the pre-service math teachers. So through the art of problem posing, 38 number of pre-service teachers worked in a pair to find fidelities in the environment of hand-held graphing calculator. We concluded that the cognitive fidelity showed three different properties using "what if not" strategy which the mathematical fidelity between the representations supported. Also, the exploration using a calculator in the pedagogical fidelity strongly helped them to apply and to expand their learning.