Abstract
Quality of teaching is a major factor in students’ mathematics learning. Stigler and Hiebert (1999) showed that mathematics teaching in Japanese schools is significantly different from what is typically observed in US classrooms. However, Japanese mathematics educators claim that Japanese mathematics teaching has transformed significantly over the last 50 years. Although teaching is influenced by a variety of factors, textbooks play a significant role in what mathematics is taught and how it is taught. In other words, textbooks may significantly influence students’ opportunities to learn. Thus, six editions of a Japanese elementary school mathematics series since 1958 were analyzed to identify any change that might indicate the transformation of mathematics instruction in Japan. The analysis revealed that the features included in the series have changed over the years to support more explicitly the problem-solving-based mathematics instruction described by Stigler and Hiebert (1999).
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Notes
- 1.
Because some of the old editions obtained for the analysis did not include the publication years, in this manuscript these editions are referenced by the corresponding COS years.
- 2.
In the Japanese convention, the first factor in a multiplication expression represents the multiplier. In this textbook series, multiplication (and division) of fractions by whole numbers is discussed before the unit on multiplication by fractions, sometimes in grade 5 and sometimes in grade 6, depending on the COS. This is done so because students can continue to use the equal group interpretation as long as the multiplier is a whole number. When the multiplier becomes something other than a whole number, students must expand their interpretation of the multiplication operation, in addition to thinking about the calculation process.
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Watanabe, T. (2014). Transformation of Japanese Elementary Mathematics Textbooks: 1958–2012. In: Li, Y., Silver, E., Li, S. (eds) Transforming Mathematics Instruction. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-04993-9_12
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