African American students' severe underachievement in mathematics in comparison to their peers has been framed as an achievement gap that continues to widen despite the efforts of many education scholars and leaders. Throughout history in the United States, mathematics education has been designed, developed, and delivered within a Eurocentric philosophy. Consequently, African American students have been at a systemic disadvantage in terms of perceiving the cultural relevance of mathematics; which has served as a detriment to their academic success. By merging ethnomathematics and culturally relevant pedagogy (CRP) into a theoretical framework, this study investigates these issues and proposes a shift in mathematics education toward a more culturally aware approach. In this study, it is argued that implementing a multicultural education approach such as ethnomathematics into the mathematics curriculum coupled with employing culturally relevant pedagogical practices will increase relevance in the mathematics education for African American students. The purpose of this study was to gain African American high school students’ perception of mathematics, as well as their cultural awareness and its relation to mathematics education. To gain students’ perceptions about mathematics education from a cultural respect, 375 students in grades 9-12 completed three online surveys which were (1) a four-item demographic questionnaire (age, gender, grade, ethnicity), (2) the 40-item Attitude Towards Mathematics Inventory (ATMI), and (3) the 12-item Students Perception about Cultural Awareness (SPCA) survey. This study incorporated a quantitative, correlational research design. To address research questions one and two, Pearson correlations were conducted to examine the associations between the variables of interest which were (1) Value, (2) Enjoyment, (3) Sense of Security, (4) Motivation, and (5) Cultural Awareness. Variables (1), (2), (3), (4) were derived from the ATMI survey through factor analysis while variable (5) was constructed from the SPCA survey. To address research question three, a MANOVA was conducted to assess for differences in attitudes toward mathematics and perceptions of cultural awareness by ethnicity. For research questions one and two, it was found that there was a statistically significant correlation between the variables of interest. For research question three, it was found that there was not a statistically significant difference in the variables of interest by ethnicity. In further analysis of the data, it was found that many African American students have a substandard attitude of value, enjoyment, sense of security, and motivation toward mathematics. Nonetheless, these students had a high sense of cultural awareness and cultural pride. Generally, the students felt that the incorporation of culture into mathematics would assist in raising their achievement to some degree. This study highlights recommendations to educational leaders to learn about the culture of their students, allow that data to inform policy decisions, and lead a shift to the approach of mathematics education toward the theories of ethnomathematics and CRP.

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Although the Technological Pedagogical Content Knowledge (TPACK) framework has shown a lot of promise as a theoretical perspective, researchers find it difficult to use it in particular environments because the requirements of the framework change in specific contexts. The purpose of this study was to explore and produce more flexible ways of using the TPACK for inservice mathematics secondary teachers. Three such teachers at an urban public school were observed in their classrooms and interviewed about their experiences of teaching mathematics and integrating computer technology in their day-to-day activities. Each participant had over 10 years experience in teaching mathematics in secondary schools in Ontario, and expertise in using computers in mathematics curriculum. The research questions were: 1) How do secondary school mathematics teachers describe their ways of integrating technology? 2) What difficulties do teachers have when they try to integrate technology into mathematics classrooms? The findings from the first research question show that teachers displayed a high degree of integration of technology. Their activities were very clearly designed, conferring clear roles to the use of integrating computer technology in mathematics classes. Teachers had specific approaches to integrate computer technology: a) to allow students opportunities to learn and experiment with their mathematical knowledge; b) to help them pass the content to the students in the process of teaching mathematics; and c) to assess and evaluate students’ work, and give them feedback. The findings from the second research question reveal that teachers had difficulties in purchasing and maintaining the computer equipment. They had some difficulties in trying to integrate new technologies as these required time, preparation, and dedication. In addition, teachers had some difficulties in making students use computers in a significant way. The implication for teacher education is that inservice teachers should have opportunities to update their computer and pedagogical skills, a long term perspective in integrating technology in mathematics education, and professional and technical support from teaching colleagues and administrators. Finally, the integration of computer technology in mathematics requires more intensive teamwork and collaboration between teachers, technical support staff, and administrators.

Although the Technological Pedagogical Content Knowledge (TPACK) framework has shown a lot of promise as a theoretical perspective, researchers find it difficult to use it in particular environments because the requirements of the framework change in specific contexts. The purpose of this study was to explore and produce more flexible ways of using the TPACK for inservice mathematics secondary teachers. Three such teachers at an urban public school were observed in their classrooms and interviewed about their experiences of teaching mathematics and integrating computer technology in their day-to-day activities. Each participant had over 10 years experience in teaching mathematics in secondary schools in Ontario, and expertise in using computers in mathematics curriculum. The research questions were: 1) How do secondary school mathematics teachers describe their ways of integrating technology? 2) What difficulties do teachers have when they try to integrate technology into mathematics classrooms? The findings from the first research question show that teachers displayed a high degree of integration of technology. Their activities were very clearly designed, conferring clear roles to the use of integrating computer technology in mathematics classes. Teachers had specific approaches to integrate computer technology: a) to allow students opportunities to learn and experiment with their mathematical knowledge; b) to help them pass the content to the students in the process of teaching mathematics; and c) to assess and evaluate students’ work, and give them feedback. The findings from the second research question reveal that teachers had difficulties in purchasing and maintaining the computer equipment. They had some difficulties in trying to integrate new technologies as these required time, preparation, and dedication. In addition, teachers had some difficulties in making students use computers in a significant way. The implication for teacher education is that inservice teachers should have opportunities to update their computer and pedagogical skills, a long term perspective in integrating technology in mathematics education, and professional and technical support from teaching colleagues and administrators. Finally, the integration of computer technology in mathematics requires more intensive teamwork and collaboration between teachers, technical support staff, and administrators.