2023-05-13
This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about number...
This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7.
Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Solutions to the activities are available electronically on the Supplemental Materials page.
Selected solutions are available electronically for instructors only. Please send email to textbooks@ams.org for more information.
伍鸿熙教授1963年获美国麻省理工学院博士学位，是国际著名微分几何学家，美国加州大学伯克利分校数学教授，美国国家数学教育专家咨询组成员。伍鸿熙教授1992年开始关注中小学数学教育，1998年至今一直致力于美国中小学数学教师的培训与数学教育的改革工作。
作为数学家，伍鸿熙教授不仅深入到中小学实地调研美国数学教育中存在的诸多问题，而且身体力行努力去解决。他发现目前许多中小学数学教师的师资培训很不理想，于是他花了大量的精力和时间，为中小学数学教师编写了一套从小学、初中直到高中的师资培训教材。
伍鸿熙教授一直注重基础课程的讲授和教材的编写。三十年前，他在一本写给中国学生的数学教材的序言中曾引用唐朝魏征的话“求木之长者，必固其根本；欲流之远者，必浚其泉源”，以此来强调奠定好基础的重要性。
伍鸿熙教授一直关心、支持祖国的数学发展与数学教育工作，积极推动中美两国数...
伍鸿熙教授1963年获美国麻省理工学院博士学位，是国际著名微分几何学家，美国加州大学伯克利分校数学教授，美国国家数学教育专家咨询组成员。伍鸿熙教授1992年开始关注中小学数学教育，1998年至今一直致力于美国中小学数学教师的培训与数学教育的改革工作。
作为数学家，伍鸿熙教授不仅深入到中小学实地调研美国数学教育中存在的诸多问题，而且身体力行努力去解决。他发现目前许多中小学数学教师的师资培训很不理想，于是他花了大量的精力和时间，为中小学数学教师编写了一套从小学、初中直到高中的师资培训教材。
伍鸿熙教授一直注重基础课程的讲授和教材的编写。三十年前，他在一本写给中国学生的数学教材的序言中曾引用唐朝魏征的话“求木之长者，必固其根本；欲流之远者，必浚其泉源”，以此来强调奠定好基础的重要性。
伍鸿熙教授一直关心、支持祖国的数学发展与数学教育工作，积极推动中美两国数学与数学教育的交流。他自1975年以来，多次回国访问与讲学，出版了多本中文版的微分几何著作，并积极支持将他编著的中小学数学教师培训教材翻译成中文出版。