Open Access. Powered by Scholars. Published by Universities.®
- Institution
- File Type
Articles 1 - 11 of 11
Full-Text Articles in Education
A Collection Of Lists Of Mathematical Habits Of Mind, Kien Lim
A Collection Of Lists Of Mathematical Habits Of Mind, Kien Lim
Kien H Lim
Mathematical habits of mind and general habits of mind have been identified in the field by various authors such as Al Cuoco and colleagues, Driscoll and colleagues, and Costa and colleagues. Different list of habits of mind that are relevant to teaching and learning of mathematics education are compiled.
Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien H. Lim
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
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 highlights …
Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera
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 …
Mathematical Habits Of Mind, Kien H. Lim, Annie Selden
Mathematical Habits Of Mind, Kien H. Lim, Annie Selden
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 discuss various views and aspects of mathematical habits of mind, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. To facilitate the discussion during the working group meetings, we provide an overview of mathematical habits of mind, …
Mathematical Habits Of Mind: A Working Group At The 2009 Pme-Na Conference, Kien Lim, Annie Selden
Mathematical Habits Of Mind: A Working Group At The 2009 Pme-Na Conference, Kien Lim, Annie Selden
Kien H Lim
The objectives of this working group are: (a) to discuss various views and aspects of mathematical habits of mind, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. To facilitate the discussion during the working group meetings, we provide an overview of mathematical habits of mind, including concepts that are closely related to habits of mind—ways of thinking, mathematical practices, knowing-to act in the moment, cognitive disposition, and behavioral schemas. We invite mathematics educators who are interested in habits of mind, and especially those who have conducted research related …
Provoking Intellectual Need
Kien H Lim
Burning The Candle At Just One End: Using Nonproportional Examples Helps Students Determine When Proportional Strategies Apply, Kien H. Lim
Kien H Lim
Developing Mathematical Habits Of Mind, Selden Annie, Kien Lim
Developing Mathematical Habits Of Mind, Selden Annie, Kien Lim
Kien H Lim
A Project NeXT panel on “Helping Students Develop Mathematical Habits of Mind without Compromising Key Concepts from the Syllabus” was held at the San Diego Joint Mathematics Meetings 2008. This article summarizes the main points presented by four panelists: Al Cuoco, Harel Guershon, Hyman Bass, and Annie Selden.
Improving Students’ Algebraic Thinking: The Case Of Talia, Kien H. Lim
Improving Students’ Algebraic Thinking: The Case Of Talia, Kien H. Lim
Kien H Lim
This paper presents the case of an 11th grader, Talia, who demonstrated improvement in her algebraic thinking after five one-hour sessions of solving problems involving inequalities and equations. She improved from association-based to coordination-based predictions, from impulsive to analytic anticipations, and from inequality-as-a-signal-for-a-procedure to inequality-as-a-comparison-of-functions conceptions. In the one-on-one teaching intervention, she progressed from the sub-context of manipulating symbols, to working with specific numbers, to reasoning with “general” numbers, and eventually to reasoning with symbols. Three features were identified to account for her improvement: (a) attention to meaning, (b) opportunity to repeat similar reasoning, and (c) opportunity to explore.
Characterizing Students’ Thinking: Algebraic Inequalities And Equations, Kien H. Lim
Characterizing Students’ Thinking: Algebraic Inequalities And Equations, Kien H. Lim
Kien H Lim
This paper presents the findings of a study that explores the viability of using students’ act of anticipating as a means to characterize the way students think while solving problems in algebra. Two types of anticipating acts were identified: predicting a result and foreseeing an action. These acts were characterized using Harel’s framework, which involves the concepts of mental act, way of understanding, and way of thinking. Categories for characterizing acts of predicting and foreseeing were identified and developed based on thirteen 11th graders’ responses to problems involving algebraic inequalities and equations. The quality of students’ acts of predicting and …