SUPPORTING LEARNING FOR NAVAJO STUDENTS THROUGH ETHNOMATHEMATICS

The purpose of this research was to address how culturally informed ethnomathematical methods of teaching can be utilized to support the learning of Navajo students in mathematics. The study was conducted over the course of four years on the Navajo Reservations at Tohatchi Middle School in Tohatchi New Mexico. The students involved in the study were all in 8th grade and were enrolled either in Algebra 1 or a Response to Intervention, RTI, class. The data collected came in the form of a student survey, student observation and student assessment. The teacher written survey, a math textbook word problem, and two original math textbook problems along with their rewritten version were the sources of these three studies. The first year of the study consisted of a math attitude survey and how Navajo students perceived math as a subject of interest. The students answered four questions pertaining to their thoughts about mathematics. The students’ responses were positive according to their written answers. The second year of the study involved the observation of how students worked through a math word problem as a group. This method tested how the students culturally interacted in order to solve a math problem. Their questions and reasoning to solve the problem were shared with peers and the teacher. The teacher supported the students in understanding and solving the problem by asking questions that kept the students focused on the goal of solving the problem. The students worked collaboratively and openly in order to complete the activity. During the iv study, the teacher was more able to notice the students’ deficiencies individually or as a group, therefore was able to support them in a more specific manner. The last study was conducted over a period of two different years. This study was used to determine how textbook bias in the form of its sentence structure or word choice affects the performance of students who are not culturally familiar with one or both. It was found that the students performed better and took less time on the rewritten problem than on the original problem. The data suggests that focusing on the culture, language and education of Navajo students can affect how the students learn and understand math.

Reclaiming Indigenous Narratives through Critical Discourses and the Autonomy of the Trickster

How do prevailing narratives about Native Americans, particularly in the medium of film, conspire to promote the perspective of the dominant culture? What makes the appropriation of Indigenous images so metaphorically popular? In the past hundred years, little has changed in the forms of representation favored by Hollywood. The introductory chapter elucidates the problem and outlines the scope of this study. As each subsequent chapter makes clear, the problem is as relevant today as it has been throughout the entire course of filmic history. Chapter Two analyzes representational trends and defines each decade according to its favorite stereotype. The binary of the bloodthirsty savage is just as prevalent as it was during the 1920s and 30s. The same holds true for the drunken scapegoat and the exotic maiden, which made their cinematic debuts in the 1940s and 50s. But Hollywood has added new types as well. The visionary peacemaker and environmental activist have also made an appearance within the last forty years. What matters most is not the realism of these images, but rather the purposes to which they can be put toward validating whatever concerns the majority filmmakers wish to promote. Whether naïvely or not, such representations continue to evacuate Indigenous agency to the advantage of the majority. A brief historical overview confirms this legacy. Various disciplines have sought to interrogate this problem. Chapter three investigates the field of postcolonial studies, which makes inquiry into the various ways these narratives are produced, marketed, and consumed. It also raises the key questions of for whom, and by whom, these narratives are constructed. Additional consideration is given to their value as commodities in the mass marketplace. Typically the products of a boutique-multiculturalism, their storylines are apt to promote the prevailing point of view. Critical theory provides a foundational framework for chapter four. What is the blockbuster formula and how do the instruments of capital promote it? Concepts such as culture industry and repressive tolerance examine both the function and form of the master narrative, as well as its use to control the avenues of dissent. Moreover, the public sphere and its diminishment highlight the challenges inherent in the widespread promotion of an alternative set of narratives. Nonetheless, challenges to prevailing narratives do exist, particularly in the form of Trickster narratives. Often subject to persistent misrecognition, the Trickster demonstrates a potent form of agency that undeniably dismantles the hegemony of Western cinema. The final chapter examines some of the Trickster's more subtle and obscure productions. Usually subjugated to the realm of the mystical, rather than the mythical, these misinterpreted forms have the power to speak in circles around a majority audience. Intended for an Other audience, they are coded in a language that delivers a type of direction through indirection, promoting a poignant agency all their own.