将社会公正纳入统计教学:运用行动研究影响职前教师

Basil M. Conway Iv, Ha Nguyen
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INTRODUCTION For decades, content knowledge, pedagogical knowledge, and pedagogical content knowledge have been a focus in teacher education programs (Shulman, 1987). However, while deepening teachers’ mathematical content knowledge is of high priority, it is not sufficient for mathematics instruction in the 21st century (National Council of Supervisors of Mathematics [NCSM] & TODOS Mathematics for All [TODOS], 2016). Therefore, in recent years, more attention has been given to broaden those knowledge foundations to improve achievement in all students, especially underserved and marginalized students, by using culturally responsive and relevant pedagogy (Gay, 2000; Ladson-Billings, 1994; Greer, Mukhopadhyay, Powell, & Nelson-Barber, 2009) and teaching for social justice in mathematics education (Gutstein, 2003). There is also much argument for the need of culturally relevant pedagogy in Science, Technology, Engineering, Arts, and Mathematics courses (Kant, Burckhard, & Meyers, 2018). The goal of this article is to explore changes in K-8 teacher candidates’ beliefs about the importance of cultural, social, or political knowledge as they learn about statistics through a social justice lens. To reach this goal, a team of two mathematics educators (researchers) from two universities in the southeastern United States and one of the researchers’ two graduate students (teachers) co-planned a lesson for K-8 Pre-Service Teachers (students) in the other researcher’s course called Probability and Statistics for K-8 Teachers. This lesson targeted statistics for the course and social injustices expressed by the K-8 PSTs and was co-taught by the two teachers immersed in teaching statistics for social justice (TS4SJ). LITERATURE REVIEW Culturally Relevant Teaching Culturally relevant teaching is defined as a pedagogy that allows students to bring knowledge and experiences from their homes and communities that can influence the mathematics teaching and learning (Gay, 2000; Ladson-Billings, 1995). Ladson-Billings’ (1994) study showed that culturally relevant teaching has positive effects on teacher beliefs and students’ learning. Ladson-Billings (1995) found that regardless of their instructional approaches, educators who were successful with marginalized students recognized the importance of including their students’ cultures and valued their identities in the teaching-learning process. Through culturally relevant teaching, educators can broaden their students’ participation and engagement and spark their interests in using mathematics to explore issues of equity in schools and their communities. Since raising social awareness is one of the key goals of culturally relevant teaching (Gay, 2000), social injustices naturally arise as culturally relevant pedagogy is implemented. Teaching for Social Justice Gutstein’s (2003, 2006, 2009) approach to teaching mathematics for social justice included three goals to help students use mathematics to develop: (1) critical sociopolitical knowledge of their surroundings, (2) a sense of social agency; i.e., seeing themselves as part of the solution to injustice, and (3) positive social and cultural identities. When students develop an awareness of the world in which they live through mathematics, they see mathematics as a tool to understand, analyze, and make a difference to social action and change (Gutstein, 2006). According to the literature, mathematics standardized tests have served as “gatekeeper” for underserved and marginalized students receiving access to higher-level mathematics, advanced programs, and future goals (Davis & Martin, 2008). In their 2016 joint statement, the NCSM and TODOS described a social justice approach in mathematics education as a way to “transform mathematics from a gatekeeper to a gateway, democratizing participation and maximizing education advancement that equitably benefits all children rather than a select few” (NCSM & TODOS, 2016, p. 3). Unfortunately, many see equity in education as a means to lower expectations of students or as in opposition to excellence in school policy (Gutiérrez, 2013b). However, culturally relevant teaching and teaching for social justice should actually reduce student misconceptions, make content applicable, and increase conceptualization by students. TS4SJ should help develop social, 1 IJ-SoTL, Vol. 14 [2020], No. 1, Art. 13 https://doi.org/10.20429/ijsotl.2020.140113 political, and critical knowledge for teaching so educators and students can advocate for underserved and marginalized individuals (Gutiérrez 2013a, 2013b). True equity is in place when rigorous standards are encouraged and content is accessible and applicable to students’ everyday lives. To do this educators and students need to “identify, examine, and reflect on their attitudes toward different ethnic, racial, gender, and social-class groups (Banks & Banks 1995)”. Importantly, this is required by all persons whether from a majority or minority population or a socially advantaged or disadvantaged group. Co-Teaching and Co-Teaching with a Lens toward Social Justice Co-teaching describes an involvement of “two or more educators working collaboratively to deliver instruction to a heterogeneous group of students in a shared instructional space” (Conderman, 2011, p. 24). Co-teaching practices combined with teaching for social justice benefits teacher candidates through increased pedagogical risk taking and support (Conway, Erickson, Parrish, Strutchens, & Whitfield, 2017; Conway, Strutchens, Martin, & Kenney, 2018). By experiencing co-teaching and developing a sociopolitical awareness, teacher candidates can be better prepared to teach in increasingly diverse classrooms and extend their understanding of a culturally relevant pedagogy (Conway et al., 2017; Mensah, 2011). Berry, Conway, Lawler, and Staley (2020) encourage educators to establish networks and communities to support and plan social justice lessons with their colleagues. When educators use co-teaching to provide social justice lessons, thoughtful feedback and self-reflections from each teaching partner enhance both their teaching practices and learning experiences for their students (Cobb & Sharma 2015). Teaching Statistics for Social Justice Education (TS4SJ) Teaching mathematics for social justice is described by Gutstein (2003, p. 35) as reading the world: to understand relations of power, resource inequities, and disparate opportunities between different social groups and to understand explicit discrimination based on race, class, gender, language, and other differences. Further, it means to dissect and deconstruct media and other forms of representation and to use mathematics to examine these various phenomena both in one’s immediate life and in the broader social world and to identify relationships and make connections between them. Lesser (2007) suggested that when interchanging the words “mathematics” and “statistics,” TS4SJ is similar to teaching mathematics for social justice. In particular, Lesser (2007, p. 3) defined TS4SJ as “the teaching of statistics with nontrivial inclusion of examples related to (our previously defined version of) social justice, offering opportunities for students to reflect upon the context of these examples as they learn or apply the associated statistical content.” This means that TS4SJ helps students see statistics not only as a useful tool to their everyday lives but also to bring awareness of and transform injustices. Lesser’s (2007) study mentioned various resource distribution examples; for instance, low-income students being less likely to have qualified educators (Spencer, 2005), and argued that this topic is important for students to explore but is not a strong example of social justice. One explanation is that it is not easy to agree on how much a nation such as the United States should allocate its resources on education, military, Medicare and health, etc. Rather, topics such as racial profiling by police (McAplin, 2000; Berry, et al., 2020) and the death penalty would be more powerful examples of social injustice. This is because these lessons require students to analyze data collected from a probability simulation which attends to the content need while also investigating fairness in real life and engaging in sociopolitical issues. Enyedy, Mukhopadhyay, and Danish (2007) presented an argument that the statistics education community was not progressing in attempts to improve achievement in underserved and marginalized students with the use of culturally relevant pedagogy and curriculum. Since 2007 very little attention has been given to this topic in the International Association for Statistical Education. Sharma (2014) blames this on many statistics education researchers not being familiar with emerging research and perspectives relating to culture and power. In addition, Sharma (2014) argued that many of the cultures and experiences differ internationally. This difference is potentially another hindrance for educators incorporating TS4SJ. Though this difficulty persists, in 2014 Sharma published an article illustrating the need to attend to culture while teaching statistics to middle","PeriodicalId":332019,"journal":{"name":"The International Journal for the Scholarship of Teaching and Learning","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Incorporating Social Justice into Statistical Instruction: Using Action Research to Impact Pre-Service Teachers\",\"authors\":\"Basil M. 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INTRODUCTION For decades, content knowledge, pedagogical knowledge, and pedagogical content knowledge have been a focus in teacher education programs (Shulman, 1987). However, while deepening teachers’ mathematical content knowledge is of high priority, it is not sufficient for mathematics instruction in the 21st century (National Council of Supervisors of Mathematics [NCSM] & TODOS Mathematics for All [TODOS], 2016). Therefore, in recent years, more attention has been given to broaden those knowledge foundations to improve achievement in all students, especially underserved and marginalized students, by using culturally responsive and relevant pedagogy (Gay, 2000; Ladson-Billings, 1994; Greer, Mukhopadhyay, Powell, & Nelson-Barber, 2009) and teaching for social justice in mathematics education (Gutstein, 2003). There is also much argument for the need of culturally relevant pedagogy in Science, Technology, Engineering, Arts, and Mathematics courses (Kant, Burckhard, & Meyers, 2018). The goal of this article is to explore changes in K-8 teacher candidates’ beliefs about the importance of cultural, social, or political knowledge as they learn about statistics through a social justice lens. To reach this goal, a team of two mathematics educators (researchers) from two universities in the southeastern United States and one of the researchers’ two graduate students (teachers) co-planned a lesson for K-8 Pre-Service Teachers (students) in the other researcher’s course called Probability and Statistics for K-8 Teachers. This lesson targeted statistics for the course and social injustices expressed by the K-8 PSTs and was co-taught by the two teachers immersed in teaching statistics for social justice (TS4SJ). LITERATURE REVIEW Culturally Relevant Teaching Culturally relevant teaching is defined as a pedagogy that allows students to bring knowledge and experiences from their homes and communities that can influence the mathematics teaching and learning (Gay, 2000; Ladson-Billings, 1995). Ladson-Billings’ (1994) study showed that culturally relevant teaching has positive effects on teacher beliefs and students’ learning. Ladson-Billings (1995) found that regardless of their instructional approaches, educators who were successful with marginalized students recognized the importance of including their students’ cultures and valued their identities in the teaching-learning process. Through culturally relevant teaching, educators can broaden their students’ participation and engagement and spark their interests in using mathematics to explore issues of equity in schools and their communities. Since raising social awareness is one of the key goals of culturally relevant teaching (Gay, 2000), social injustices naturally arise as culturally relevant pedagogy is implemented. Teaching for Social Justice Gutstein’s (2003, 2006, 2009) approach to teaching mathematics for social justice included three goals to help students use mathematics to develop: (1) critical sociopolitical knowledge of their surroundings, (2) a sense of social agency; i.e., seeing themselves as part of the solution to injustice, and (3) positive social and cultural identities. When students develop an awareness of the world in which they live through mathematics, they see mathematics as a tool to understand, analyze, and make a difference to social action and change (Gutstein, 2006). According to the literature, mathematics standardized tests have served as “gatekeeper” for underserved and marginalized students receiving access to higher-level mathematics, advanced programs, and future goals (Davis & Martin, 2008). In their 2016 joint statement, the NCSM and TODOS described a social justice approach in mathematics education as a way to “transform mathematics from a gatekeeper to a gateway, democratizing participation and maximizing education advancement that equitably benefits all children rather than a select few” (NCSM & TODOS, 2016, p. 3). Unfortunately, many see equity in education as a means to lower expectations of students or as in opposition to excellence in school policy (Gutiérrez, 2013b). However, culturally relevant teaching and teaching for social justice should actually reduce student misconceptions, make content applicable, and increase conceptualization by students. TS4SJ should help develop social, 1 IJ-SoTL, Vol. 14 [2020], No. 1, Art. 13 https://doi.org/10.20429/ijsotl.2020.140113 political, and critical knowledge for teaching so educators and students can advocate for underserved and marginalized individuals (Gutiérrez 2013a, 2013b). True equity is in place when rigorous standards are encouraged and content is accessible and applicable to students’ everyday lives. To do this educators and students need to “identify, examine, and reflect on their attitudes toward different ethnic, racial, gender, and social-class groups (Banks & Banks 1995)”. Importantly, this is required by all persons whether from a majority or minority population or a socially advantaged or disadvantaged group. Co-Teaching and Co-Teaching with a Lens toward Social Justice Co-teaching describes an involvement of “two or more educators working collaboratively to deliver instruction to a heterogeneous group of students in a shared instructional space” (Conderman, 2011, p. 24). Co-teaching practices combined with teaching for social justice benefits teacher candidates through increased pedagogical risk taking and support (Conway, Erickson, Parrish, Strutchens, & Whitfield, 2017; Conway, Strutchens, Martin, & Kenney, 2018). By experiencing co-teaching and developing a sociopolitical awareness, teacher candidates can be better prepared to teach in increasingly diverse classrooms and extend their understanding of a culturally relevant pedagogy (Conway et al., 2017; Mensah, 2011). Berry, Conway, Lawler, and Staley (2020) encourage educators to establish networks and communities to support and plan social justice lessons with their colleagues. When educators use co-teaching to provide social justice lessons, thoughtful feedback and self-reflections from each teaching partner enhance both their teaching practices and learning experiences for their students (Cobb & Sharma 2015). Teaching Statistics for Social Justice Education (TS4SJ) Teaching mathematics for social justice is described by Gutstein (2003, p. 35) as reading the world: to understand relations of power, resource inequities, and disparate opportunities between different social groups and to understand explicit discrimination based on race, class, gender, language, and other differences. Further, it means to dissect and deconstruct media and other forms of representation and to use mathematics to examine these various phenomena both in one’s immediate life and in the broader social world and to identify relationships and make connections between them. Lesser (2007) suggested that when interchanging the words “mathematics” and “statistics,” TS4SJ is similar to teaching mathematics for social justice. In particular, Lesser (2007, p. 3) defined TS4SJ as “the teaching of statistics with nontrivial inclusion of examples related to (our previously defined version of) social justice, offering opportunities for students to reflect upon the context of these examples as they learn or apply the associated statistical content.” This means that TS4SJ helps students see statistics not only as a useful tool to their everyday lives but also to bring awareness of and transform injustices. Lesser’s (2007) study mentioned various resource distribution examples; for instance, low-income students being less likely to have qualified educators (Spencer, 2005), and argued that this topic is important for students to explore but is not a strong example of social justice. One explanation is that it is not easy to agree on how much a nation such as the United States should allocate its resources on education, military, Medicare and health, etc. Rather, topics such as racial profiling by police (McAplin, 2000; Berry, et al., 2020) and the death penalty would be more powerful examples of social injustice. This is because these lessons require students to analyze data collected from a probability simulation which attends to the content need while also investigating fairness in real life and engaging in sociopolitical issues. Enyedy, Mukhopadhyay, and Danish (2007) presented an argument that the statistics education community was not progressing in attempts to improve achievement in underserved and marginalized students with the use of culturally relevant pedagogy and curriculum. Since 2007 very little attention has been given to this topic in the International Association for Statistical Education. Sharma (2014) blames this on many statistics education researchers not being familiar with emerging research and perspectives relating to culture and power. In addition, Sharma (2014) argued that many of the cultures and experiences differ internationally. This difference is potentially another hindrance for educators incorporating TS4SJ. 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引用次数: 1

摘要

下面的行动研究描述了来自两所大学的两位研究人员如何合并他们的课程和教学目标,以影响未来教师的变化。来自一所大学的两名在职中学教师与研究人员合作,开发了一门社会正义课,与另一所大学的17名K-8职前教师有关,以促进对公平教学实践和政策的信念的改变。调查前后的调查结果、制定过程中的实地记录和反思发现,教师们发现,在这种情况下教授社会正义统计(TS4SJ)能够更好地响应学生的需求和统计联系,同时也能满足那些面临信仰困境和种族优势的人的借口。几十年来,内容知识、教学知识和教学内容知识一直是教师教育计划的焦点(Shulman, 1987)。然而,虽然深化教师的数学内容知识是重中之重,但对于21世纪的数学教学来说,这是不够的(国家数学监督委员会[NCSM] & TODOS全民数学[TODOS], 2016)。因此,近年来,更多的关注是扩大这些知识基础,以提高所有学生的成绩,特别是服务不足和边缘化的学生,通过使用文化响应和相关的教学方法(Gay, 2000;Ladson-Billings, 1994;Greer, Mukhopadhyay, Powell, & Nelson-Barber, 2009)和数学教育中的社会正义教学(Gutstein, 2003)。对于科学、技术、工程、艺术和数学课程中需要与文化相关的教学法,也有很多争论(Kant, Burckhard, & Meyers, 2018)。本文的目的是探讨K-8教师候选人在通过社会公正的视角学习统计时,对文化、社会或政治知识重要性的看法的变化。为了实现这一目标,来自美国东南部两所大学的两名数学教育家(研究人员)和其中一名研究人员的两名研究生(教师)共同为K-8职前教师(学生)计划了一节课,这节课是另一名研究人员的课程,名为K-8教师的概率与统计。这节课针对的是课程统计和K-8 pst所表达的社会不公正,由两位沉浸在社会公正统计(TS4SJ)教学中的老师共同授课。与文化相关的教学文化相关的教学被定义为一种教学法,它允许学生从他们的家庭和社区中带来知识和经验,从而影响数学的教学和学习(Gay, 2000;Ladson-Billings, 1995)。Ladson-Billings(1994)的研究表明,文化相关教学对教师信念和学生学习都有积极的影响。Ladson-Billings(1995)发现,无论采用何种教学方法,成功教育边缘化学生的教育者都认识到将学生文化纳入教学过程的重要性,并重视他们在教学过程中的身份。通过与文化相关的教学,教育工作者可以扩大学生的参与和参与,激发他们利用数学探索学校及其社区公平问题的兴趣。由于提高社会意识是文化相关教学的关键目标之一(Gay, 2000),社会不公正自然会随着文化相关教学法的实施而出现。Gutstein(2003、2006、2009)的社会正义数学教学方法包括三个目标,以帮助学生利用数学来发展:(1)对周围环境的批判性社会政治知识;(2)社会代理意识;即,将自己视为解决不公正问题的一部分,以及(3)积极的社会和文化身份。当学生通过数学发展对他们所生活的世界的认识时,他们将数学视为理解、分析并对社会行动和变化产生影响的工具(Gutstein, 2006)。根据文献,数学标准化考试已经成为“看门人”,为服务不足和边缘化的学生获得更高水平的数学,高级课程,和未来的目标(戴维斯和马丁,2008)。在2016年的联合声明中,NCSM和TODOS将数学教育中的社会正义方法描述为“将数学从看门人转变为门户,民主化参与和最大化教育进步,公平地惠及所有儿童,而不是少数人”(NCSM和TODOS, 2016年,第3页)。不幸的是,许多人认为教育公平是降低学生期望的一种手段,或者是与卓越的学校政策背道而驰(gutisamurez, 2013)。 然而,文化相关教学和社会正义教学实际上应该减少学生的误解,使内容适用,增加学生的概念化。TS4SJ应帮助发展社会,1 IJ-SoTL, Vol. 14 [2020], No. 1, Art. 13 https://doi.org/10.20429/ijsotl.2020.140113教学的政治和批判性知识,以便教育工作者和学生能够倡导服务不足和边缘化的个人(gutisamurez 2013a, 2013b)。当严格的标准受到鼓励,内容易于获取并适用于学生的日常生活时,真正的公平才会到位。要做到这一点,教育者和学生需要“识别、检查和反思他们对不同民族、种族、性别和社会阶级群体的态度”(Banks & Banks 1995)。重要的是,所有人都需要这样做,无论是多数人还是少数人,还是社会上处于有利地位或处于不利地位的群体。联合教学描述了“两个或两个以上的教育工作者在共享的教学空间中协同工作,向异质学生群体提供教学”的参与(Conderman, 2011, p. 24)。联合教学实践与社会正义教学相结合,通过增加教学风险承担和支持,使教师候选人受益(Conway, Erickson, Parrish, Strutchens, & Whitfield, 2017;Conway, Strutchens, Martin, & Kenney, 2018)。通过体验共同教学和培养社会政治意识,教师候选人可以更好地准备在日益多样化的教室中教学,并扩展他们对文化相关教学法的理解(Conway等人,2017;曼沙,2011)。Berry、Conway、Lawler和Staley(2020)鼓励教育工作者建立网络和社区,与同事一起支持和计划社会正义课程。当教育工作者使用合作教学来提供社会正义课程时,每个教学伙伴的深思熟虑的反馈和自我反思都可以增强他们的教学实践和学生的学习经验(Cobb & Sharma 2015)。Gutstein (2003, p. 35)将社会正义数学教学描述为阅读世界:理解权力关系、资源不平等和不同社会群体之间的不同机会,并理解基于种族、阶级、性别、语言和其他差异的明确歧视。此外,它意味着剖析和解构媒体和其他形式的表现,并使用数学来检查个人直接生活和更广泛的社会世界中的各种现象,并确定它们之间的关系和联系。Lesser(2007)认为,当交换“数学”和“统计”这两个词时,TS4SJ类似于为社会正义教授数学。特别是,Lesser(2007,第3页)将TS4SJ定义为“统计学教学中包含与(我们之前定义的)社会正义相关的例子,为学生提供机会,让他们在学习或应用相关的统计内容时反思这些例子的背景。”这意味着TS4SJ帮助学生不仅将统计视为日常生活的有用工具,而且还将其视为提高对不公正现象的认识和改变的工具。Lesser(2007)的研究提到了各种资源分配的例子;例如,低收入家庭的学生不太可能有合格的教育工作者(Spencer, 2005),并认为这个话题对学生来说很重要,但不是社会正义的一个强有力的例子。一种解释是,对于像美国这样的国家应该在教育、军事、医疗保险和卫生等方面分配多少资源,很难达成一致。相反,诸如警察的种族貌相等话题(McAplin, 2000;Berry等人,2020)和死刑将是社会不公正的更有力的例子。这是因为这些课程要求学生分析从概率模拟中收集的数据,以满足内容需求,同时也调查现实生活中的公平性,并参与社会政治问题。Enyedy, Mukhopadhyay和Danish(2007)提出了一个论点,认为统计教育界在使用与文化相关的教学法和课程来提高服务不足和边缘化学生的成绩方面没有取得进展。自2007年以来,国际统计教育协会很少关注这一主题。Sharma(2014)将此归咎于许多统计教育研究人员不熟悉与文化和权力相关的新兴研究和观点。此外,Sharma(2014)认为,许多文化和经验在国际上是不同的。这种差异可能是教育工作者整合TS4SJ的另一个障碍。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Incorporating Social Justice into Statistical Instruction: Using Action Research to Impact Pre-Service Teachers
The following action research depicts how two researchers from two universities merged their courses and goals of instruction to impact change in future teachers. Two currently practicing middle school teachers from one university worked with researchers to develop a social justice lesson that had relevance to seventeen K-8 pre-service teachers at another university to promote changes in beliefs about equitable teaching practices and policy. Findings from preand post-surveys, field notes during enactment, and reflections teachers found teaching statistics for social justice (TS4SJ) in this setting provided an increased responsiveness to the needs of students and statistical connections while also attending to excuses by those facing dilemmas in belief and racial dominance. INTRODUCTION For decades, content knowledge, pedagogical knowledge, and pedagogical content knowledge have been a focus in teacher education programs (Shulman, 1987). However, while deepening teachers’ mathematical content knowledge is of high priority, it is not sufficient for mathematics instruction in the 21st century (National Council of Supervisors of Mathematics [NCSM] & TODOS Mathematics for All [TODOS], 2016). Therefore, in recent years, more attention has been given to broaden those knowledge foundations to improve achievement in all students, especially underserved and marginalized students, by using culturally responsive and relevant pedagogy (Gay, 2000; Ladson-Billings, 1994; Greer, Mukhopadhyay, Powell, & Nelson-Barber, 2009) and teaching for social justice in mathematics education (Gutstein, 2003). There is also much argument for the need of culturally relevant pedagogy in Science, Technology, Engineering, Arts, and Mathematics courses (Kant, Burckhard, & Meyers, 2018). The goal of this article is to explore changes in K-8 teacher candidates’ beliefs about the importance of cultural, social, or political knowledge as they learn about statistics through a social justice lens. To reach this goal, a team of two mathematics educators (researchers) from two universities in the southeastern United States and one of the researchers’ two graduate students (teachers) co-planned a lesson for K-8 Pre-Service Teachers (students) in the other researcher’s course called Probability and Statistics for K-8 Teachers. This lesson targeted statistics for the course and social injustices expressed by the K-8 PSTs and was co-taught by the two teachers immersed in teaching statistics for social justice (TS4SJ). LITERATURE REVIEW Culturally Relevant Teaching Culturally relevant teaching is defined as a pedagogy that allows students to bring knowledge and experiences from their homes and communities that can influence the mathematics teaching and learning (Gay, 2000; Ladson-Billings, 1995). Ladson-Billings’ (1994) study showed that culturally relevant teaching has positive effects on teacher beliefs and students’ learning. Ladson-Billings (1995) found that regardless of their instructional approaches, educators who were successful with marginalized students recognized the importance of including their students’ cultures and valued their identities in the teaching-learning process. Through culturally relevant teaching, educators can broaden their students’ participation and engagement and spark their interests in using mathematics to explore issues of equity in schools and their communities. Since raising social awareness is one of the key goals of culturally relevant teaching (Gay, 2000), social injustices naturally arise as culturally relevant pedagogy is implemented. Teaching for Social Justice Gutstein’s (2003, 2006, 2009) approach to teaching mathematics for social justice included three goals to help students use mathematics to develop: (1) critical sociopolitical knowledge of their surroundings, (2) a sense of social agency; i.e., seeing themselves as part of the solution to injustice, and (3) positive social and cultural identities. When students develop an awareness of the world in which they live through mathematics, they see mathematics as a tool to understand, analyze, and make a difference to social action and change (Gutstein, 2006). According to the literature, mathematics standardized tests have served as “gatekeeper” for underserved and marginalized students receiving access to higher-level mathematics, advanced programs, and future goals (Davis & Martin, 2008). In their 2016 joint statement, the NCSM and TODOS described a social justice approach in mathematics education as a way to “transform mathematics from a gatekeeper to a gateway, democratizing participation and maximizing education advancement that equitably benefits all children rather than a select few” (NCSM & TODOS, 2016, p. 3). Unfortunately, many see equity in education as a means to lower expectations of students or as in opposition to excellence in school policy (Gutiérrez, 2013b). However, culturally relevant teaching and teaching for social justice should actually reduce student misconceptions, make content applicable, and increase conceptualization by students. TS4SJ should help develop social, 1 IJ-SoTL, Vol. 14 [2020], No. 1, Art. 13 https://doi.org/10.20429/ijsotl.2020.140113 political, and critical knowledge for teaching so educators and students can advocate for underserved and marginalized individuals (Gutiérrez 2013a, 2013b). True equity is in place when rigorous standards are encouraged and content is accessible and applicable to students’ everyday lives. To do this educators and students need to “identify, examine, and reflect on their attitudes toward different ethnic, racial, gender, and social-class groups (Banks & Banks 1995)”. Importantly, this is required by all persons whether from a majority or minority population or a socially advantaged or disadvantaged group. Co-Teaching and Co-Teaching with a Lens toward Social Justice Co-teaching describes an involvement of “two or more educators working collaboratively to deliver instruction to a heterogeneous group of students in a shared instructional space” (Conderman, 2011, p. 24). Co-teaching practices combined with teaching for social justice benefits teacher candidates through increased pedagogical risk taking and support (Conway, Erickson, Parrish, Strutchens, & Whitfield, 2017; Conway, Strutchens, Martin, & Kenney, 2018). By experiencing co-teaching and developing a sociopolitical awareness, teacher candidates can be better prepared to teach in increasingly diverse classrooms and extend their understanding of a culturally relevant pedagogy (Conway et al., 2017; Mensah, 2011). Berry, Conway, Lawler, and Staley (2020) encourage educators to establish networks and communities to support and plan social justice lessons with their colleagues. When educators use co-teaching to provide social justice lessons, thoughtful feedback and self-reflections from each teaching partner enhance both their teaching practices and learning experiences for their students (Cobb & Sharma 2015). Teaching Statistics for Social Justice Education (TS4SJ) Teaching mathematics for social justice is described by Gutstein (2003, p. 35) as reading the world: to understand relations of power, resource inequities, and disparate opportunities between different social groups and to understand explicit discrimination based on race, class, gender, language, and other differences. Further, it means to dissect and deconstruct media and other forms of representation and to use mathematics to examine these various phenomena both in one’s immediate life and in the broader social world and to identify relationships and make connections between them. Lesser (2007) suggested that when interchanging the words “mathematics” and “statistics,” TS4SJ is similar to teaching mathematics for social justice. In particular, Lesser (2007, p. 3) defined TS4SJ as “the teaching of statistics with nontrivial inclusion of examples related to (our previously defined version of) social justice, offering opportunities for students to reflect upon the context of these examples as they learn or apply the associated statistical content.” This means that TS4SJ helps students see statistics not only as a useful tool to their everyday lives but also to bring awareness of and transform injustices. Lesser’s (2007) study mentioned various resource distribution examples; for instance, low-income students being less likely to have qualified educators (Spencer, 2005), and argued that this topic is important for students to explore but is not a strong example of social justice. One explanation is that it is not easy to agree on how much a nation such as the United States should allocate its resources on education, military, Medicare and health, etc. Rather, topics such as racial profiling by police (McAplin, 2000; Berry, et al., 2020) and the death penalty would be more powerful examples of social injustice. This is because these lessons require students to analyze data collected from a probability simulation which attends to the content need while also investigating fairness in real life and engaging in sociopolitical issues. Enyedy, Mukhopadhyay, and Danish (2007) presented an argument that the statistics education community was not progressing in attempts to improve achievement in underserved and marginalized students with the use of culturally relevant pedagogy and curriculum. Since 2007 very little attention has been given to this topic in the International Association for Statistical Education. Sharma (2014) blames this on many statistics education researchers not being familiar with emerging research and perspectives relating to culture and power. In addition, Sharma (2014) argued that many of the cultures and experiences differ internationally. This difference is potentially another hindrance for educators incorporating TS4SJ. Though this difficulty persists, in 2014 Sharma published an article illustrating the need to attend to culture while teaching statistics to middle
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