• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.121-141
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• 2016

In Korea where there is the national curriculum and teachers depend highly on textbooks, the school mathematics is based on curriculum and textbooks. Especially considering responsibility that textbooks should reflect the curriculum properly, it is necessary to analyze the connection of mathematics curriculum and textbooks in order to review and improve the quality of our mathematics education. This research analyzes the connection of curriculum and textbooks for 5~6 grades and aims to have some implications for revision of the textbooks when application of elementary mathematics textbooks based on the 2009 revised national curriculum is completed to all grades. Following the preceding research for 1~2 and 3~4 grades, this research sets 5~6 grades as a subject of analysis and has four contents of analysis; analysis of textbooks based on restructured achievement criteria, analysis of connections between unit objectives of textbooks and the reconstructed achievement criteria, analysis of textbooks related to mathematical terms and symbols, and analysis of textbooks related to mathematical process. The result of analysis has some implications to develop textbooks based on the 2015 revised national curriculum.

• School Mathematics
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• v.6 no.4
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• pp.345-359
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• 2004

Many researchers have studied students' error patterns in learning mathematics but the results haven't much effected on teaching situation. This paper is to find out how the results have been reflected on 6th and 7th Korean elementary school mathematics textbooks, workbooks, and teachers' guide books. The focuses of analysis are the four; (a)Type of materials, (b)Type of problems, (c)Type of errors and number of rela- ted problems, and (d)organization and explanation type. Results indicate that both 6th and 7th materials don't use effectively students' error patterns to teach computation, in particular, 7th textbooks scarcely treat them. It suggests that we should grope a way to use the fruitful results of this area to teach mathematics effectively.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.189-206
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• 2015

There has been a recurring call for using visual representations in textbooks to improve the teaching and learning of proportional reasoning. However, the quantity as well as quality of visual representations used in textbooks is still very limited. In this article, we analyzed visual representations presented in a Grade 6 textbook from two perspectives of proportional reasoning, multiple-batches perspective and variable-parts perspective, and discussed the potential of the double number line and the double tape diagram to help develop the idea 'things covary while something stays the same', which is critical to reason proportionally. We also classified situations that require proportional reasoning into five categories and provided ways of using the double number line and the double tape diagram for each category.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.415-438
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• 2019

The purpose of this study is to examine what aspects of mathematical activities in elementary school mathematics textbooks pre-service school teachers pay attention to in the process of didactic transposition. To do this, the third grade students of the College of Education were asked to analyze the activities of the elementary mathematics textbooks and then select a lesson activities as needed to modify or supplement the activities. As a result of the study, in the process of revising textbook activities for mathematics lessons, pre-service teachers pay attention to whether the textbook activities provide concrete activities, whether they induce student motivation, and whether there is overlap between classes activities. For the didactic transposition of textbook activities for mathematics lessons, pre-service teachers were able to comprehensively utilize relevant curriculum documents such as national curriculum and teachers' manual for checking the goals and achievement standards and lesson objectives.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.123-141
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• 2015

The purpose of this study is to reconsider of teaching mathematics problem solving in Korea's elementary school through an analysis of mathematics curricula and mathematics textbooks of the elementary school. As a result, it is found that the problem solving had been emphasized continually from the 4th curriculum to the 2009 revised curriculum. However, contents in their textbooks did not reflect the intent of the mathematics curricula properly. And amount of contents related to teaching about problem solving in the textbooks reached the peak in the 6th mathematics curriculum. Then teaching about problem solving had been weakened gradually. And it is also revealed that there had been a movement to change to teaching for problem solving in the textbooks of the 2007 and 2009 revised curricula. Teaching via problem solving had not been carried out appropriately so far.

• School Mathematics
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• v.8 no.1
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• pp.69-88
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• 2006

It is well known that the low achievement students are easily affected by the ways how the materials are organized and presented. So the studies on trying to find how those students' responses are differed according to the organization or presentation of the materials are necessary. This paper was based on the results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in area of mathematics. We analyzed students responses through combining the percents of correct answers with the assessment items. After that, we identified the properties of low achievement students in mathematics and presented some guides which, we thought, are helpful for improvements of mathematics textbooks and teacher guide books.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.105-128
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• 2013

One of the biggest changes in 2007 Curriculum Revision is introduction of letter, equation, direct proportion and inverse proportion in fifth and sixth grade of mathematics. The purpose of this study is to provide some implications about teaching-learning method for introduction of letters, teaching and learning activities of equation between the 6th Curriculum and 2007 Curriculum Revision. The below conclusions were drawn from findings obtained in this study. First, the letter and expression were learned in fifth and sixth grade until 6th Curriculum and were learned in seventh grade in middle school of 7th Curriculum. But letter, equation are introduced in 2007 Curriculum Revision again. The overall contents of letter and expression were learned on the 'Relationship' domain in the 6th Curriculum, it were learned on the 'Letter and expression' domain in the 7th Curriculum and is learned on the 'Regularity and problem-solving' domain in the 2007 Curriculum Revision. Second, teaching method of these contents was to promise some definitions at first and then to solve exercises in the 6th Curriculum. But leaning was forced to improve student's problem-solving in the 7th Curriculum. To reduce student's pressure offers at a minimum mathematics terms and to provide problem situations to students who contact daily, it is emphasized on learner's communication in the 2007 Curriculum Revision. We want to be easily connected elementary mathematics and higher mathematics through this study about letter, equation. We recognized how we teach the letter and expression to reduce misconceptions and draw a transition from arithmetic thinking to algebraic thinking and want to be continue of another studies.

• 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.

• School Mathematics
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• v.7 no.4
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• pp.403-425
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• 2005

The study aims to get real picture of primary mathematics education based on RME in the Netherlands focusing on number and operations strand by reflecting and analyzing the documents in relation to the primary school mathematics curriculum. In order to attain these purposes, the present paper describes the core goals for mathematics education, Dutch Pluspunt textbook series for the primary school, and a learning-teaching trajectory by TAL project which are determinants of the Dutch primary school mathematics curriculum. Under these reflections on the documents, it is analyzed what is the characteristics of number and operations strand in the Nether-lands as follows: counting numbers, contextualization, positioning, structuring, progressive algoritmization based on levels, estimation and insightful use of a calculator. Finally, discussing Points for improving our primary mathematics curriculum and textbook series development are described.

• Communications of Mathematical Education
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• v.36 no.4
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• pp.589-610
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• 2022

This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.