• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.143-164
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• 2013

Despite the recent emphasis on mathematical communication, little practical guide has been provided for a teacher with what to do for orchestrating high-quality discussions in a mathematics classroom. This paper analyzed 20 elementary mathematics lessons which were recognized as effective instruction in Korea using an analytic framework with regard to 5 practices for orchestrating productive mathematics discussions (i.e., anticipating, monitoring, selecting, sequencing, & connecting) by Smith and Stein (2011) in terms of performance scales from Level 0 to 3. The results of this study showed that the most frequent levels were Level 1 including undesirable practices and Level 2 including insufficient practices. There were only one or two lessons per practice which were assessed as Level 3 of good performance. Specifically, Level 2 was the most frequent with regard to monitoring and selecting, whereas Level 1 was the most frequent as for the other practices. This paper provides some implications for co-ordinating productive mathematics discussions.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.433-457
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• 2022

An effective teacher community helps the participating teachers improve their instructional quality. This study reports a teacher community consisting of 15 elementary school teachers and one teacher educator. This paper analyzed 15 mathematics lessons in which the teachers implemented the five practices for orchestrating productive mathematics discussions by Smith and Stein (2018) based on the grade-specific discussions as well as the whole community's discussions. The results of this study showed that the overall levels of each practice either increased gradually or maintained at the highest Level 4, as mathematics lessons had been implemented. Specifically, the following practices were quite successful: setting goals for a lesson, selecting an appropriate task, anticipating student responses, and selecting student solutions. However, both sequencing and connecting student solutions were implemented at various levels. Monitoring student work tended to remain at Level 2 which included incorrect implementation of the practice. This paper closes with implications related to the skillful implementation of the five practices through a teacher community.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.371-393
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• 2012

There have been many studies about education in private institute, yet the researches on mathematics lessons in private institute have not been conducted enough. The purpose of this study is to analyze mathematics private lessons and obtain some implications to improve mathematics lessons in public education. First, a variety of mathematics private lessons were reviewed, and then three prevalent private lesson types were selected in each school level. Then, the nine lessons were observed and recorded, and characteristics were summarized. Later, analyzing frame with two axes (curriculum and communication) was developed, and nine lessons were located in the quadrant. As a conclusion, the weakness and strengths of mathematics private lessons were discussed along with implication to mathematics lessons in public education.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.37-62
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• 2014

In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• Education of Primary School Mathematics
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• v.19 no.1
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• pp.61-78
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• 2016

The purpose of this study was to investigate the perceptions and perspectives on meanings and use of manipulatives in mathematics lessons. For the investigation, the researcher reviewed related literature and analyzed the perceptions of preservice teachers on the meanings and use of manipulatives in mathematics lessons. The participants were 75 preservice elementary school teachers who took a teaching practice course at the 1st or the 2nd semester in 2015. These preservice teachers observed mathematics lessons for two weeks during the student teaching periods. They were requested to observed the use of manipulatives in mathematics lessons and wrote about their ideas on the meanings and use of manipulatives. Result of the research was that the perceptions on the meanings and use of manipulatives from the preservice teachers' perspectives are as follows. Manipulatives in mathematics lessons were self-made or pre-made manufactures. The using time of manipulatives during lessons varies, and the teachers provide the manipulatives with contexts. Providing in-depth observation during a teaching practice course is allowed opportunities for preservice teachers to reflect their mathematics teaching and learning methods in the classroom.

• Journal of Educational Research in Mathematics
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• v.16 no.3
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• pp.221-249
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• 2006

The object of this study is to understand the characteristics of mathematical knowledge that elementary 5th graders have regarding the statistical variation concept and the changes after taking lessons. This study includes a pretest to examine the characteristics of mathematical knowledge that elementary 5th graders have regarding the statistical variation concept. And It was followed by a lesson on statistical variation concept to be able to correct error which was revealed by the inspection, and to improve good points. It turned out that after five lessons on the statistical variation concept, the insufficient aspects were properly improved, and as for the points they already understand, they came to understand better than before. They came to consider the statical variation concept instead of the frequency, preponderance, average, stable traits for the optimum value. Also, through the lesson on drawing tables and graphs, they came to better understand them, analyzing correctly the exercises in which tables and graphs were combined. When comparing data sets whose general distributions and extents were similar, students came up with the right answers in a stable way by considering averages combining statistical variation too. Since they tended to interpret a situation with their own subjective views adding conditions, teachers need to examine the proper situation and conditions prior to the lessons on the statistical variation concept.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.19-38
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• 2024

This study aims to analyze the characteristics of students' understanding of artificial intelligence and mathematical concepts by developing and applying an artificial intelligence education program for mathematics convergence using robots. To this end, we analyzed the content standards of elementary artificial intelligence education to extract conceptual elements of artificial intelligence and identified mathematics achievement standards that can effectively integrate them. In particular, a five-session (15 classes in total) program was developed by selecting the units 'angle' and 'quadrilateral' suitable for utilizing the robot's movement and reorganizing the lesson to integrate the mathematics achievement standard with the artificial intelligence content elements. As a result of applying this to 22 fourth grade elementary school students over five months and analyzing the students' understanding revealed by topic of artificial intelligence content, the artificial intelligence education program for mathematics convergence using robots was helpful in students' understanding artificial intelligence principles and mathematical concepts. In addition, the use of robots was confirmed to improve students' understanding of artificial intelligence and mathematics as well as their participation in class by making them visually check a series of performing procedures.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.431-449
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• 2017

Acute triangles and obtuse triangles are defined according to the classification of triangles by angles. The definitions of acute triangles and obtuse triangles are difficult for students because they are related to different logical elements. The purpose of this study is to seek desirable methods for teaching the classification of triangles by angles related to logic. To do this, based on the theoretical consideration and the longitudinal analysis of the elementary mathematics textbooks, some implications are found for teaching. And then the lesson was planned and applied to $4^{th}$ graders. After the lesson, we reviewed and analyzed their worksheets and test results for examining the effects by teaching methods. Based on the result, we discussed and made some didactical suggestions for teaching the classification of triangles by angles.

• School Mathematics
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• v.15 no.2
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• pp.429-442
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• 2013

The purpose of this study was to examine the curricula for mathematically gifted focused on contents and graded sequences of those. Three cases of the curricula for the mathematically gifted including teachers' lesson plans and activity sheets for students were collected from gifted education institutes attached the Metropolitan Office of Education. By qualitative analysis, three cases are compared. The first, in a view of educational contents on mathematics, characteristics of the educational programs were investigated. The second, how these contents were arranged according to grades was inquired. On the basis of the results, further studies can be proposed as follows. First, there is a need to study the criteria for setting the educational contents and the sequences of education for the mathematically gifted connecting elementary mathematics education curricula. Second, it is necessary to form the networks in which can allow communication among teachers and researchers for the mathematically gifted.