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Selected Works

Junior High, Intermediate, Middle School Education and Teaching

Kien H Lim

Mathematical Tasks

Articles 1 - 2 of 2

Full-Text Articles in Education

Provoking Intellectual Need Aug 2009

Provoking Intellectual Need

Kien H Lim

According to Harel's Necessity Principle (1998) “students are most likely to learn when they see a need for what we intend to teach them, where by need is meant intellectual need, not social or economic need” (p. 501). Intellectual need for a particular mathematical concept is an internal drive experienced by a learner to solve a problem. In this paper, I discuss how tasks can be designed to provoke the intellectual need for two mathematical ideas, prime factorization and lowest common multiple.


通过数学任务提高美国职前教师的数学成熟性 (Advancing Pre-Service Teachers’ Mathematical Sophistication Via Mathematical Tasks), Kien Lim, 庞雅丽, 赵锐 Dec 2008

通过数学任务提高美国职前教师的数学成熟性 (Advancing Pre-Service Teachers’ Mathematical Sophistication Via Mathematical Tasks), Kien Lim, 庞雅丽, 赵锐

Kien H Lim

2008年5月22日,香港数学教育学会在香港浸会大学举行了研讨会。本文以该研讨会上的发言为蓝本,区分了以下四种差异:(1)约定俗成的数学与学校数学之间的差异;(2)理解方式与思维方式之间的差异;(3)成熟的学习者与被动的学习者之间的差异;(4)知识传授与知识参与这两种教学模式之间的差异。文章还讨论了Harel提出的教学原则以及数学任务的设计与它们在课堂中的使用,并呈现了具体的案例来说明如何设计数学任务以实现特定的学习与教学目标,如激发学生学习某一特定概念的需要,促进理想的思维方式,阻止不合适的思维方式以及评估学生的概念性理解。