• Research in Mathematical Education
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• v.26 no.4
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• pp.291-310
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• 2023

In this paper, we propose a theoretical framework for Chinese high school mathematics teachers use new textbooks based on the work of Remillard (1999) and Chau (2014). Based on this framework, a multiple case approach was used to investigate how two high school mathematics teachers from Shanghai use new textbooks. The results suggest that in the curriculum mapping arena, both the novice teacher and the expert teacher often planned to appropriate the unit content, and sometimes planned to add supplemental content. When organizing the unit content, novice teacher always planned to follow the new textbook in sequence, while expert teacher often would follow the new textbook in sequence, but sometimes planned to rearrange the unit content. In the design arena, both the novice teacher and the expert teacher tended to appropriate the introduced tasks and definitions. The novice teacher often planned to appropriate the example problems and exercise problems, while the expert teacher often intended to flexibly use the example problems and exercise problems. In the construction arena, the novice teacher seldom adjusted the planned tasks; in contrast, the expert teacher adjusted the planned tasks more frequently. In the reflection arena, the novice teacher often thought she should improve the mathematics tasks, while the expert teacher almost always thought he needed to improve the mathematics tasks. The framework shown in this paper provides a tool to investigate how mathematics teachers use textbooks.

• Journal of the Korean School Mathematics Society
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• v.8 no.4
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• pp.445-458
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• 2005

This thesis compared and analyzed the data of Mathematics History in Middle School Textbook with each publisher. It searched for the difference and similarity between them and considered about what is contained in the mathematics history to give interests to middle school students.

• The Mathematical Education
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• v.51 no.3
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• pp.247-263
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• 2012

The purpose of this study was to analyze recent research trends of mathematics textbooks to provide implications for textbook research and development. For this purpose, 90 out of 1121 research papers published between 2006 and 2011 in seven prestigious domestic journals were selected. The papers dealing with only Korean mathematics textbooks were analyzed by school levels (i.e., elementary or secondary), mathematics content areas, analytic methods, and implications. The papers comparing our mathematics textbooks with foreign counterparts were analyzed by reasons for the comparison, school levels, subjects for analysis, and implications. The results of this study urge us to pay more attention to secondary mathematics textbooks, least studied content areas, and various but inconsistent analytic methods. This paper also suggests close connections between textbook analysis and textbook development.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.413-430
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• 2013

The purpose of this study was to analyze mathematical storytelling in Korean elementary mathematics textbooks and propose some applications for better storytelling, Storytelling strategies were introduced for enhancing students' understanding on mathematical concepts and improving students' attitudes toward mathematics. For this study, the researcher analyzed the 2nd grade mathematics textbook that employs storytelling strategies. The results are as follows. First, current storytelling textbook chapter is designed to appreciate students' intellectual autonomy. Second, current storytelling textbook chapter includes the storytelling that helps understand mathematical concepts and exercise mathematical skills. Third, current storytelling textbook chapter is designed for enhancing students' interest and helping students' character education. The researcher suggested the followings. First, a long term field-based research should be continued for more improved mathematical storytelling materials. Second, a digital format storytelling also needs to be developed as an alternative strategy of mathematical storytelling, which reinforces interactions between teller and listeners.

• Research in Mathematical Education
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• v.24 no.2
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• pp.111-130
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• 2021

This exploratory study focuses on analyzing three mathematics textbooks in Germany, Singapore and South Korea to reveal similarities and differences in their introductions of fraction concepts. Findings reveal that all three countries' textbooks introduce fraction concepts predominantly by using pictorial representations such as area models, but the introductions of multiple fraction constructs vary. The Singaporean and South Korean textbooks predominantly used a part-whole construct to introduce fractional concepts while the German textbook introduced various constructs sequentially in the first pages using several scenarios from different real-life situations. The findings were represented using visual representations, which we called textbook signatures. The textbook signatures provided configurations of the textbook features across the three countries. At the end of paper, we share insights and limitations about the use of textbook signatures in the research on textbook analysis.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.221-248
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• 2013

Among five types of the model textbook based on storytelling, the type of 'Inquiry into history of Mathematics' focuses on adapting the logic of mathematical discovery to the organization of mathematical contents. It enables students to recognize that mathematics has been developed by human needs and creativity while they are engaged in the story about knowledge formation. Moreover the textbook offers the context in which students are able to understand mathematical insights and logics hidden in the subject matter, so that they can reinvent and develop mathematical knowledge. In this study, we found the principles for development of the textbook based on storytelling for 'Inquiry into History of Mathematics' by analyzing the chapter about 'Complex number and Quadratic Equations' of the model textbook. The chapter was implemented in classroom environment and students' understanding of the subject matter and their perception on the textbook based on storytelling were surveyed before and after the implementation. The results showed the possibilities of adapting the textbook based on storytelling and we suggested some implications for further development.

• The Mathematical Education
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• v.57 no.4
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• pp.433-452
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• 2018

The purpose of this study is to provide implications for improvement of mathematics textbook based on discursive approach to textbook analysis that complementarily combines a communicational approach to cognition and social semiotics. For this purpose, we reconstructed an analytic framework for discursive approach to written discourses of Korean textbook and CMP, and applied it to our analysis. Results show that several characteristics in meanings were developed by the use of words and visual mediators. First, in the case of ideational meaning, there were qualitative and quantitative differences between vocabularies used and between information addressed by visual mediators. Second, in the case of structural meaning, an offer and application of procedure was emphasized in a Korean textbook, whereas expectation and selection experiences of diverse possibilities for problem solving was underlined in CMP. In the case interpersonal meaning of student-author, imperative instructions were paid attentions in a Korean textbook. In contrast, students' interdependence and active participation were stressed in CMP. Therefore, this study addressed ideas about how to analyze mathematics textbooks based on integrated meanings developed by the use of words and visual mediators. In addition, it distributes implications for improvements of Korean mathematics textbooks through the analytic framework of both mathematical meanings and interpersonal meanings of student-author.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.241-261
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• 2015

"SMART" is a word to condense a new kind of educational system recently proposed by the Korean government. It signifies an intelligent adaptive learning system to innovate the educational environment, the contents, methodology and assessment. Developing a digital textbook was one of the main strategic goals to drive forward "smart" education. The Korean government expected to finish the development of digital textbooks of science, mathematics, social studies and English by 2013 and to have a field experiment for them in 2014. However, the case of mathematics was postponed for an indefinite period because its draft version was no different from a traditional textbook in its functional aspect. This situation might come from the non-existence of a good authoring tool and an inexperienced sense by developers of the opportunities available with digital textbooks. This paper introduces the main features for developing a digital mathematics textbook for the 12th grade students, which was developed in the environment of Cabri LM as an authoring tool. This paper also looks upon the results of a whole lesson using the textbook in managing the classroom interaction with students.

• Journal of Educational Research in Mathematics
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• v.18 no.3
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• pp.309-333
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• 2008

In this research, we reconstructed the textbook on the concept of rate and ratio, which is based on the review on the previous researches and the analysis on the elementary textbook of the 7th mathematics curriculum. We conducted the teaching experiment using the reconstructed textbook, which is to identify the students' conception of rate and ratio and the appropriateness and limit of the reconstructed textbook. As the results of this study, we identify that the changed sequence of instruction (that is, ratio ${\rightarrow}$ percent and value of rate ${\rightarrow}$ rate) was very proper to help students understand the concept of rate and ratio. The relative comparison and absolute comparison and the additive thinking and multiplicative thinking included in the reconstructed textbook were identified very helpful to students' understanding. Meanwhile some contexts given in the reconstructed textbook were identified to cause the students' cognitive confusions.

• East Asian mathematical journal
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• v.37 no.4
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• pp.481-497
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• 2021

The importance of statistics in everyday life and work place has led to calls for an increased attention to statistical literacy in the mathematics curriculum both internationally and domestically. While professional organizations and researchers propose perspectives towards and models of statistical literacy, conceptions and elements of statistical literacy vary. This study examines how mathematics textbook questions fulfill the requirements of statistical literacy by employing two models: Watson's model focusing on understanding of statistical language and Curcio's model on data interpretation aspects of statistical literacy. For this, a total of 872 problem questions presented in the statistics units of from ten textbooks for the middle school year 1 mathematics were analyzed.