In a teaching experiment, Japanese Grade 9 students investigated how to measure the height of an aerial balloon using different models involving angles and distances, and also to evaluate the models they developed. As...In a teaching experiment, Japanese Grade 9 students investigated how to measure the height of an aerial balloon using different models involving angles and distances, and also to evaluate the models they developed. As novices to mathematical modelling, they needed to decide which of several possible models were both valid and practicable, and the errors in measurement that are likely to arise. Opportunities to construct and use paper models, as scale reductions of the real situation, and discussing their results in small groups were effective in moving forward the thinking of many students on the dimensions mentioned above. While students were less able to identify different sources of errors, many came to appreciate the need to learn trigonometric techniques that are more suitable in dealing with problems of this kind.展开更多
基金全国教育科学“十一五”规划教育部重点课题“和谐学校文化建设和课程教学的关系研究”(DHA090189)澳大利亚墨尔本大学与维多利亚州儿童发展与教育部联合项目Teacher capacity as a key element of national curriculum reform inmathematics:A comparative study between Australia and China(2011_000988)西南大学2009年度中央高校基本科研业务费专项资金项目——基于数学教师PCK的中澳基础教育数学课程改革比较研究(SWU0909686)
基金Australian Research Council Discovery Projects——Learning outcomes in mathematics and science classrooms inAustralia,Finland and China:Interrogating the alignment of curriculum,instruction and assessment(DP1093529)
文摘In a teaching experiment, Japanese Grade 9 students investigated how to measure the height of an aerial balloon using different models involving angles and distances, and also to evaluate the models they developed. As novices to mathematical modelling, they needed to decide which of several possible models were both valid and practicable, and the errors in measurement that are likely to arise. Opportunities to construct and use paper models, as scale reductions of the real situation, and discussing their results in small groups were effective in moving forward the thinking of many students on the dimensions mentioned above. While students were less able to identify different sources of errors, many came to appreciate the need to learn trigonometric techniques that are more suitable in dealing with problems of this kind.
