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Selected Works

Teacher Education and Professional Development

2010

Mathematics Education

Articles 1 - 3 of 3

Full-Text Articles in Education

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien H. Lim Sep 2010

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien H. Lim

Kien H Lim

The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to continue the discussion of various views and aspects of mathematical habits of mind begun at PME-NA 31, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic.


The Role Of Prediction In The Teaching And Learning Of Mathematics, Kien Lim, Gabriela Buendía, Ok-Kyeong Kim, Francisco Cordero, Lisa Kasmer Jul 2010

The Role Of Prediction In The Teaching And Learning Of Mathematics, Kien Lim, Gabriela Buendía, Ok-Kyeong Kim, Francisco Cordero, Lisa Kasmer

Kien H Lim

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students’ prediction can reveal their conceptions, (2) prediction plays an important role in reasoning and (3) prediction fosters mathematical learning. To support research on prediction in the context of mathematics education, we present three perspectives on prediction: (1) prediction as a mental act highlights the cognitive aspect and the conceptual basis of one’s prediction, (2) prediction as a mathematical activity ...


Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera Jan 2010

Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera

Kien H Lim

Impulsive disposition is an undesirable way of thinking where one spontaneously applies the first idea that comes to mind without checking its relevance. In this research, we explore (a) the possibility of helping pre-service teachers improve their disposition, from being impulsive to being analytic, in one semester, and (b) the effect of using non-proportional situations. This study involves two sections of a mathematics course for pre-service teachers for Grades 4-8. The lessons were designed whenever possible to elicit students’ impulsive disposition so that they could become cognizant of it and make conscious attempts to overcome it. Some test items were ...