Analyzing the problems types of fractions and decimals in the elementary mathematics textbook of Taiwan, Finland and Singapore

• Main Authors: Hsin-Sheng Huang, 黃新勝
• Other Authors: none
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/51917195753985666599

碩士 === 國立屏東教育大學 === 數理教育研究所 === 100 === The purpose of this study is to compare and analyze the problems types of fractions and decimals in most popular textbooks used in three countries: ‘Kang-Hsuan mathematics’ in Taiwan, ‘Laskutaito in English’ in Finland. and ‘My Pals are Here! Maths’ in Singapore. Content analysis was used as method and mathematics problem was as unit to analyze the similarities and differences among them. The analytic categories were followed the classification of Stein, Remilliard and Smith (2000) that classified problems base on cognitive demand when problem solving, the design of the contexts by Lesh and Lemon(1992), and the types of representations by Zhu and Fan(2006). The finding of this study indicated the numbers of question in three edition is different, Kang-Hsuan has 920 questions, Laskutaito has 2512 , and My Pals are Here has 1280. Kang-Hsuan and My Pals are Here presented a complete problem-solving process for each example task, Laskutaito only offers a brief question narrative for each example and exercise. Three editions of textbooks all emphasize tasks in low cognitive demand, especially using processes without connections as the most. The number of exercise/example in Laskutaito is about 27, it is the highest in three country. Kang-Hsuan and My Pals are Here! Math''s only provide about 2. Considering the dimentions of task contexts, there is about 50% tasks designed into context in Kang-Hsuan, but Laskutaito and My Pals are Here! Math''s both use tasks without context more then into context. Considering the approach to present questions, Laskutaito and My Pals are Here! Math''s hold representational types of question mostly in the mathematical attribute, and Kang-Hsuan use mathematical but also verbal attribute.