A comparison of secondary school mathematics textbooks in the mainland China, Taiwan, Korea and Hong Kong: The case of combinatorics learning

Use of Textbooks: Textbooks, which reflects the curriculum, are an important informant to portray the intended curriculum (Johansson, 2003). They are absolutely a valuable source for teachers (Stodolsky, 1999; Remillard, 2005; Tarr et al., 2006). The research on textbooks benefits substantively to the understanding of a curriculum in a particular region (Thaqi & Gimenez, 2016). Outstanding Performance in Some Regions: Mathematics learning in some Asian regions interests many educators, as the students from these regions have outperformed others in several worldwide mathematical assessments. The PISA report highlights that more than a quarter of students from each of the top-performing regions: Beijing-Shanghai-Jiangsu-Guangdong (China), Hong Kong (China) and Chinese Taipei could mathematically verbalize complicated problems (Organization of Economic Co-operation and Development, 2016). Another renowned international assessment TIMSS also shows that almost half (i.e. 47-49%) of students at Secondary 2 in South Korea, Taiwan and Hong Kong reach the advanced international benchmark (Mullis et al., 2012). The textbooks adopted by these Asian countries or regions are definitely worth referencing. Textbook Content Analysis: This study selected one textbook from each of these Asian regions and their content was decoded according to a proposed framework called Assessment-Background-Content textbook analysis, which was developed from the textbook context analysis of Incikabi & Tjoe (2013), Huntley (2008), Alajmi (2012) and National Research Council (2004). Textbooks were coded according to their lesson components. Pickle (2012) adapted from Jones’s (2004) coding suggested ten lesson components in identifying units in the textbooks. The ten components include description, definition, question, activity, worked example, oral exercise, follow-up practice, highlight, project, and reflection (Pickle, 2012, p.51). Textbooks in Asian Regions: The proposed presentation will compare the mathematics textbooks in four regions under the content of combinatorics. It was found that the ratio between the number of worked examples and that of follow-up practice problems reaches as high as 1:2 for the Korean textbook, as compared to 1:1 for both the Taiwanese and Hong Kong textbooks. On the other hand, the Mainland China textbook was only 1:0.2, yet filled with thought-provoking questions for the development and student generalization of mathematics concepts.