• School Mathematics
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• v.9 no.3
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• pp.409-426
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• 2007

The relevance of secondary school algebra focused on paper and pencil manipulation has been reconsidered along with the expansion of universal education and the development of ICT such as computer or calculators. This study was designed to investigate the issues and trends of the recent algebra so as to provide implementations for algebra curriculum in Korea. The focus of algebra education has being shifted from paper pencil manipulation to algebraic thinking. The early algebra or informal algebra is one of the important traits of revolution, and the role of ICT is integrated in newly developed curricula. In Korea, algebra education has been retaining the traditional line even though the national curriculum documents allows ICT for instruction. The reasons of these discrepancies were analyzed and the tasks for the new curriculum in accordance with the current trends were suggested in this paper.

• School Mathematics
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• v.17 no.1
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• pp.99-118
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• 2015

The purpose of this study is to investigate teachers' perception of core competencies and affective aspects in mathematics. For this purpose, a nationwide survey was conducted. The survey questionnaire consists of three core competencies including problem solving, reasoning and communication, and two affective aspects including good human nature and attitudes. The survey results were further analyzed based on school level, teaching experience, location of schools, and types of high schools. As a result, four findings were identified. First, elementary school teachers tend to put more emphasis on core competencies and affective aspects than secondary school teachers do. Second, in elementary school level, longer teaching experience is correlated with more positive perception of core competencies and affective aspects. However, there was an opposite tendency in secondary school level. Third, teachers working at schools in metropolitan cities tend to emphasize core competencies and affective aspects more than those at schools located in mid-sized cities and rural areas. Fourth, the school types in high school didn't seem to affect the teachers' perception on core competencies and affective aspects.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.581-602
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• 2012

For developing mathematics teachers' professionalism, it is necessary to construct PDS to provide training programs which are appropriate for Korean context and needed by mathematics teachers. This study is a preliminary study for constructing PDS and aims to design PDS model for Korean mathematics teachers. Firstly, components of model were elicited by theoretical review. Secondary, focus group discussion with 8 teachers and individual interview with 1 educational profession and 3 foreign mathematics education researchers were conducted. Finally, by reflecting FGD and interview results, the final version of PDS model was designed. The final model is constructed by 3 components, which are life cycle, program types, and participants. In addition, professional development topics for each life cycle according to PDS model are presented.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.153-176
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• 2010

The purpose of this study is to rethink the importance of manipulative materials and to extract of manipulative materials program and its application methods. Activity, construction, and operation is stressed in the elementary mathematics. For this, various technological tools and manipulative materials is emphasized in mathematics teaching-learning methods. Applications of manipulative materials in the elementary mathematics is gradually increased together with curriculum revisions and textbook developments. As a result, tangram, geo-board etc., many tools ate introduces to school mathematics. This study is executed in this contexts. To achieve this, We introduce Australian 'Maths With Attitude' program. This program is composed of the primary level and secondary level. Each level consists of four domains - Number & Computation, Space & Logic, Chance & Measurement, Pattern & Algebra -, and each domains is made up of 20 tasks(i.e. manipulative materials) and programs. This study takes the focus to 5-6 grades programs in the mid of the primary level. First, We introduce 'Monkeys & Bananas'(Number & Computation) and 'Triangles & Colours' (Pattern & Algebra) tasks, and investigate the examples of lessons using these tasks. Second, We think the probability of these tasks' application and draw examples in the elementary mathematic textbooks. Through this works, We respect teaching-learning methods is rich and various in the elementary mathematics lessons.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.341-351
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• 2007

The primary purpose of this treatise is to suggest the solutions as follows for the errors concerning the triangle determination and congruence in every Korean mathematics textbook for 7th graders: showing that SsA, along with SSS, SAS, ASA, should also be included as the condition for triangle determination, congruence and similarity; proving that contrary to what has been believed, minimality applies only to congruence and similarity but not to determination; examining related Euclidean propositions; discussing the confusion about the characteristics of determination and congruence; and considering the negative effects of giving definite figures in construction education. The secondary purpose is to analyze the significance of triangle determinant that is not dealt with in either Euclid's Elements or the text books in the U.S. or Japan, and suggest a way to effectively deal with triangle determination and congruence in education.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.283-308
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• 2018

'Divisor and multiple' is the topic included both in the elementary and in the secondary mathematics curriculum, but there has been lack of research on it. It has been reported that students have a difficulty in understanding the meaning of the greatest common divisor (GCD) and the least common multiple (LCM), while they can find out GCD and LCM. Against the lack of research on how to overcome this difficulty, this study designed teaching methods with a model for visualization to emphasize the meanings of divisor and multiple in finding out GCD and LCM, and implemented the methods in one fourth grade classroom. A questionnaire was developed to explore students' solution methods and interviews with focused students were implemented. In addition, fourth-grade students' thinking was compared and contrasted with fifth-grade students who studied divisor and multiple with the current textbook. The results of this study showed that the teaching methods with a specific model for visualization had a positive impact on students' conceptual understanding of the process to find out GCD and LCM. As such, this study provides instructional implications on how to foster the meanings of finding out GCD and LCM at the elementary school.

• School Mathematics
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• v.14 no.3
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• pp.395-408
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• 2012

This study aims to examine the trends in research design and methods used in research on K-12 mathematics curriculum. By analyzing 124 peer-reviewed research articles published between 2000 and 2010, we concluded that more rigorous and various research design and methods should be conducted to improve educational research on curriculum. Although increasing scholarly attention has recently been given to systematic empirical studies about this topic, a large proportion of the studies examined in this study appeared to lack either a coherent conceptual framework or a systematic analytic tool or method. More effort needs to be made on improving the rigor of research in terms of research design and methods.

• Journal of the Korean School Mathematics Society
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• v.26 no.1
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• pp.49-70
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• 2023

This study aimed to design a robot programming lecture for pre-service mathematics teachers to improve their TPACK-P (TPACK-Programming) and analyze its effectiveness. The lecture design involved stages of analysis, exploration, primary micro-teaching, and secondary micro-teaching, with each stage including design, application, and evaluation. The TPACK-P survey was conducted before and after the lecture, and the results indicated a statistically significant difference in TCK at the 1% significance level and TPK, TRACK, and TRACK(P) at the 5% significance level. Further analysis using dependent sample t-tests showed that the post-test mean was significantly higher than the pre-test mean in categories such as TCK, TPK, TPACK, and TPACK(P). These findings suggest that the designed lecture positively affected the growth of pre-service mathematics teachers' TPACK-P.

• Journal of Gifted/Talented Education
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• v.17 no.1
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• pp.77-98
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• 2007

It has been said that the level of teacher professionalism determines the quality of education. The same notion allies for gifted education. Therefore, exploration of teacher professionalism in gifted education may provide fundamental bases for raising the quality of gifted education. In this study, first, literature review was conducted to extract elements of teacher professionalism in gifted education and a survey instrument was developed to find out categories of those elements and differences of teacher perception to professionalism at school levels and subject areas of gifted education. Research subjects included 212 teachers who participated in 2005 KEDI teacher training program of gifted education, 60 hour-clock introductory program and 232 teachers who participated in 2005 KEDI teacher training program of gifted education, 120 hour-clock enrichment program. It was found that elements of teacher professionalism in gifted education were categorized into knowledge-based, abilitybased and context-based. It was also found that secondary school teachers' perception to knowledge-based professionalism was significantly higher than those at elementary and science teachers' perception to ability-based and context-based professionalism was significantly higher than mathematics teachers. The research findings may provide insights for better teacher training program in gifted education as well as gifted education policies.

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.95-103
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• 2008

The 7th national mathematics curriculum was revised in 2007. According to the revision curriculum, new texts and guides are developed and will come into effect for elementary and secondary school in 2009. Some contents are shifted and also newly added at the revision curriculum. This paper analyzed the gap between the revision and the 7th national mathematics curriculum based on the shifts in contents, and investigated on the difficulties that some graders probably will undergo owing to shifting the contents between grades. As a result, several important problems were found in some graders between the revision and the 7th national mathematics curriculum. In particular, some graders could not have a chance to learn some mathematical concepts without another lesson plans. For some graders, special lesson plans and supplementations are required. The brief summary of these supplementations as follows: ⅰ) For entering students in 2005, the supplementations about equations and direct proportion and inverse proportion should be needed at the 6th grade in 2010 or at the 7th grade in 2011. ⅱ) For entering students in 2006, the supplementations about estimations and correspondence should be needed at the 4th grade in 2009 or at the 5th grade in 2010. And the supplementations about the relation of fractions and decimals and the ratio should be needed at the 5th grade in 2010. ⅲ) For entering students in 2007, the supplementations about the addition and subtraction of time using second unit and the addition and subtraction of weight should be needed at the 3th grade in 2009 or at the 4th grade in 2010.