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Full-Text Articles in Education

Reflections On Critical Math Education In The College Classroom: Critical Pedagogy And Modular Approaches, Lily Friedberg Jan 2020

Reflections On Critical Math Education In The College Classroom: Critical Pedagogy And Modular Approaches, Lily Friedberg

HMC Senior Theses

We provide an introduction to critical theory, critical education theory, and critical math education in particular, including a literature review and reflect on pedagogical practices that are informed by these theories, attempting to synthesize them. We propose an examination of modular approaches to critical education, describing one in detail. Our module implements some of these practices in a fifty minute undergraduate lecture.


Mathematical Knowledge For Teaching And Visualizing Differential Geometry, Nathan Pinsky May 2013

Mathematical Knowledge For Teaching And Visualizing Differential Geometry, Nathan Pinsky

HMC Senior Theses

In recent decades, education researchers have recognized the need for teachers to have a nuanced content knowledge in addition to pedagogical knowledge, but very little research was conducted into what this knowledge would entail. Beginning in 2008, math education researchers began to develop a theoretical framework for the mathematical knowledge needed for teaching, but their work focused primarily on elementary schools. I will present an analysis of the mathematical knowledge needed for teaching about the regular curves and surfaces, two important concepts in differential geometry which generalize to the advanced notion of a manifold, both in a college classroom and …


Comparing The Cognitive Demand Of Traditional And Reform Algebra 1 Textbooks, Allison M. Park May 2011

Comparing The Cognitive Demand Of Traditional And Reform Algebra 1 Textbooks, Allison M. Park

HMC Senior Theses

Research has shown that students achieved higher standardized test scores in mathematics and gained more positive attitudes towards mathematics after learning from reform curricula. Because these studies involve actual students and teachers, there are classroom variables that are involved in these findings (Silver and Stein, 1996; Stein et al., 1996). To understand how much these curricula by themselves contribute to higher test scores, I have studied the cognitive demand of tasks in two traditional and two reform curricula. This work required the creation of a scale to categorize tasks based on their level of cognitive demand. This scale relates to …