Open Access. Powered by Scholars. Published by Universities.®

Education Commons

Open Access. Powered by Scholars. Published by Universities.®

Selected Works

Secondary Education and Teaching

Mathematics Education

Articles 1 - 9 of 9

Full-Text Articles in Education

Does The "Negro" Still Need Separate Schools? Single-Sex Educational Spaces As Critical Race Counterspaces, La Mont Terry Oct 2013

Does The "Negro" Still Need Separate Schools? Single-Sex Educational Spaces As Critical Race Counterspaces, La Mont Terry

Clarence "La Mont" Terry, Sr.

This article explores whether contemporary educators should consider single-sex educational settings as viable interventions in educating African American males. Using qualitative data from a 2-year study of single-sex educational spaces in two Los Angeles County high schools, the authors argue that when all-male spaces effectively function as Critical Race Theory counterspaces, the educational experiences of high school–aged Black males are positively transformed. These co-curricular, single-sex counterspaces can effectively shield Black males from the marginalizing effects of urban schooling while serving as platforms for productive reengagement in positive school trajectories. Research-based principles for designing effective single-sex educational settings are discussed.


A Collection Of Lists Of Mathematical Habits Of Mind, Kien Lim Dec 2012

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 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 highlights …


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 …


Mathematical Habits Of Mind: A Working Group At The 2009 Pme-Na Conference, Kien Lim, Annie Selden Aug 2009

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 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.


Burning The Candle At Just One End: Using Nonproportional Examples Helps Students Determine When Proportional Strategies Apply, Kien H. Lim Mar 2009

Burning The Candle At Just One End: Using Nonproportional Examples Helps Students Determine When Proportional Strategies Apply, Kien H. Lim

Kien H Lim

In learning proportions students must understand what makes a situation proportional. If all the missing-value problems encountered by middle-school students involve proportional situations, then there is no need for students to check the equivalence of the two ratios in the proportion they set up. The use of non-proportional situations presents a need for students to analyze the problem situation, determine the manner in which quantities co-vary, and identify the relationship that is invariant.


Developing Mathematical Habits Of Mind, Selden Annie, Kien Lim Feb 2008

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.