• The Mathematical Education
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• v.62 no.2
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• pp.269-287
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• 2023

Matrix theory is widely used not only in mathematics, natural sciences, and engineering, but also in social sciences and artificial intelligence. In the 2009 revised mathematics curriculum, matrices were removed from high school math education to reduce the burden on students, but in anticipation of the age of artificial intelligence, they will be reintegrated into the 2022 revised education curriculum. Therefore, there is a need to analyze the matrix content covered in other countries to suggest a meaningful direction for matrix education and to derive implications for textbook composition. In this study, we analyzed the German mathematics curriculum and standard education curriculum, as well as the matrix units in the German Hesse state mathematics curriculum and textbook, and identified the characteristics of their content elements and development methods. As a result of our analysis, it was found that the German textbooks cover matrices in three categories: matrices for solving linear equations, matrices for explaining linear transformations, and matrices for explaining transition processes. It was also found that the emphasis was on mathematical reasoning and modeling when learning matrices. Based on these findings, we suggest that if matrices are to be reintegrated into school mathematics, the curriculum should focus on deep conceptual understanding, mathematical reasoning, and mathematical modeling in textbook composition.

• Communications of Mathematical Education
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• v.38 no.2
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• pp.167-186
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• 2024

Since the 5th mathematics curriculum, the goals of mathematics education have been presented in three categories: cognitive, process, and affective goals. In the 2022 revised mathematics curriculum, the content system was also presented as knowledge-understanding, process-skill, and value-attitude. Therefore, in order to present lesson goals to students, it is necessary to present all three aspects that are the goals of mathematics education. Currently, the lesson titles presented in mathematics textbooks are directly linked to lesson goals and are the first source of information for students during class. Accordingly, this study analyzed how the three categories of lesson titles and content system presented in the 2015 revised 1st and 2nd grade mathematics textbook are connected. As a result, most lesson titles presented two of the three categories, but the reflected elements showed a tendency to focus on the categories of knowledge-understanding and process-skill. Some cases of lesson titles reflected content elements of the value-attitude category, but this showed significant differences depending on the mathematics content area. Considering the goals of mathematics lessons, it will be necessary to look at ways to present lesson titles that reflect the content elements of the value-attitude categories and also explore ways to present them in a balanced way. In particular, considering the fact that students can accurately understand the goals of the knowledge-understanding categories even without presenting them, descriptions that specifically reflect the content elements of the process-skill and value-attitude categories seem necessary. Through this, we attempted to suggest the method of presenting the lesson titles needed when developing the 2022 revised mathematics textbook and help present effective lesson goals using this.

• East Asian mathematical journal
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• v.38 no.2
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• pp.257-275
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• 2022

Recently, there are studies the argument that arithmetic rules established by the four fundamental arithmetic operations, in other words, commutative laws, associative laws, distributive laws, should be explicitly described in mathematics textbooks and the curriculum. These rules are currently implicitly presented or omitted from textbooks, but they contain important principles that foster mathematical thinking. This study aims to evaluate the current level of understanding of these computation rules and provide implications for the curriculum and textbook writing. To this end, the correct answer ratio of the five arithmetic rules for 1-4 grades 398 in five elementary schools was investigated and the type of error was analyzed and presented, and the subject to learn these rules and the points to be noted in teaching and learning were also presented. These results will help to clarify the achievement criteria and learning contents of the calculation rules, which were implicitly presented in existing national textbooks, in a new 2022 revised curriculum.

• Journal of the Korean School Mathematics Society
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• v.25 no.1
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• pp.19-38
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• 2022

This study aims to find ways to improve the statistics education policy in Korea for the future based on the results from examining the high school statistics curricula in Korea and New Zealand. The statistics curriculum in New Zealand was analyzed comparatively with the corresponding contents of the probability and statistics domain in the Korea 2015 revised national mathematics curriculum. The analysis centered around achievement goals and key ideas of each of the two curricula. This comparative analysis provides implications on finding a direction in line with the global trend in the curriculum for statistics education and ultimately for Korea's statistics education for the future.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.75-90
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• 2024

This study analyzed the vocabularies presented in the 1st to 2nd grade elementary school mathematics field review textbook according to the 2022 revised curriculum using a 9th grade vocabulary system and improved them. The result of the analysis shows that the frequency of vocabulary that was not appropriate for the students' level was found to be 6.67% in the first semester of the first year and 12.17% in the second semester of the first year. For the first semester of the second year, it was 11.73%, and for the second semester of the second year, it was 14.19%. This shows that the frequency of vocabulary that may be difficult for students gradually increases. Based on the analysis results, vocabulary that had a high difficulty level but was not essential in the textbook was deleted, and essential vocabulary or vocabulary that was difficult for students was presented with pictures added or revised in more detail. In addition, words that can be modified with similar words with low lexical difficulty were replaced and presented. In this way, research on vocabulary difficulty can identify aspects of vocabulary used in textbooks and can help develop high-quality textbooks by appropriately modifying vocabulary for effective mathematics learning.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.1-17
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• 2022

It summarized and analyzed how the definitions of prism, which is the main mathematics education contents of the upper grades of elementary school, have changed from the teaching period to the 2015 revised curriculum. To this end, the definition method was divided into three methods, and how each method was used in each curriculum was examined. Through this, it was confirmed that the definitions of prism were quite different for each curriculum period. In addition, the implications for the definition of each prism were compressed and presented. It will be an opportunity for the textbook author to think about what is a more meaningful definition method of prism.

• Journal of Engineering Education Research
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• v.25 no.1
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• pp.3-11
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• 2022

The purpose of this study is to empirically analyze the learning experiences of high school mathematics and science subjects of new students in science and engineering, and to provide basic data and respond to strengthen basic knowledge of science and engineering students in the future. The subjects of the survey were 481 freshmen in science and engineering at S University. First, as a result of analyzing the learning experiences of freshmen, the geometric subjects were significantly lower, which is the result of students' sensitive responses to transitional changes in the curriculum and SAT system after revision. In science, general elective subjects were higher than career elective subjects, and there was a deviation between science subjects, which is a result of reflecting the diversity and hierarchy of science subjects. Next, as a result of analyzing the difference in learning experience after revision compared to before the revision of the curriculum, the learning experience of Mathematics II increased significantly and the geometry decreased significantly. Both Chemistry I and II increased significantly compared to before the revision, and Earth Science I decreased significantly. This can be seen as a result of strategic choices based on obtaining grades in the CSAT and disadvantages in college entrance exams. As a result of the study, students' sensitive reactions to changes in the high school education environment were confirmed, basic mathematics and science-related courses were opened to alleviate variations in the academic ability due to elective courses, and countermeasures tailored to each university's situation.

• East Asian mathematical journal
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• v.38 no.2
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• pp.165-185
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• 2022

The six core competencies have been emphasized in the mathematics curriculum revised in 2015. In particular, the communication is very important for students' representing their own thinking and enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the communication such as the understanding of mathematical representation, development and transition of mathematical representation, the representation of his own thinking, the understanding of the others' thinking. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the communication competency were shown in each textbook.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.411-431
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• 2022

In this paper, implications for future curriculum compilation were sought by analyzing the process and results of compiling books for elementary school mathematics textbooks government published according to the 2015 revised curriculum. The 2015 revised elementary mathematics textbooks government published was operated with a systematic compilation system so that academia and school field experts across the country could demonstrate their expertise. As improvements in content, the unit and time to strengthen basic computational skills were increased, and the mathematical concept and principle introduction method and algorithm presentation method were improved, and the internal connection between contents was strengthened. The learning period was adjusted, such as moving and arranging contents that are difficult for students to understand to the upper semester or the upper grade. In the 1st and 2nd graders, the amount of reading was drastically reduced to suit the students' level of Korean, and sentences and vocabulary were improved, and instructions were briefly revised. As for editing and design improvements, illustrations of each unit's introduction and contextual pictures were presented in detail, and the characters in the textbook were consistently presented across all grades, giving children characters a role to actively participate in learning in the textbook. In the process of compiling, the media, the National Assembly, and civic groups raised opinions that sentences and vocabulary in first-year textbooks are more difficult than students' level of Hangeul education, that reducing textbooks makes it difficult for students to understand. Accordingly, efforts to improve textbook compilation and the results were viewed. Through the overall analysis as above, for future compilation of state-authored textbooks and certified textbooks, a plan to improve textbook compilation for students and teachers and a plan to operate compilation was proposed.

• The Mathematical Education
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• v.62 no.3
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• pp.417-433
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• 2023

In the 2022 revised mathematics curriculum, a new content on 'Movement of a point' was added. Therefore, this study analyzed the contents of the movement of a point presented in Finnish mathematics textbooks as elements of spatial orientation. Analysis was conducted by dividing it into direction, distance, and route. As a result of the study, in Finnish textbooks, directions were expressed in various ways, such as linguistic, visual, and coded expressions. In the case of distance, activities to move as much as the distance or compare the distance were presented using the number of cells, length, steps, coordinate points, ratio, etc. In the case of routes, activities such as moving according to instructions, making routes, finding the route, and modifying the route were presented using unconditional movement and conditional movement. In particular, the movement of a point could be linked not only to various mathematical content areas such as 'number and arithmetic' and 'change and relationship', but also to digital literacy and programming education. Knowing that the movement of a point can be presented in various ways according to the direction, distance, and route, it is expected that it can be used to organize the contents of the 2022 revised mathematics textbook.