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Mathematics Dispositions and the Mathematics Learning Outcomes of Black Students: How are They Related? 黑人学生的数学倾向与数学学习成果:它们是如何关联的?
Q2 Mathematics Pub Date : 2020-12-01 DOI: 10.1080/19477503.2020.1845537
J. Young, Jahneille Cunningham, Nickolaus A. Ortiz, T. Frank, Christina Hamilton, Tina L. Mitchell
ABSTRACT This study examines the relationship between mathematics dispositions and the mathematics achievement of Black students. The study aims to elucidate the acute effects of mathematics dispositions, such as identity, self-efficacy, interest, and utility, on the mathematics Grade Point Averages (GPAs) and credits earned by Black students. A canonical correlation analysis was performed on data from a sample of Black students (N = 2,492) who participated in the High School Longitudinal Study of 2009/2012. The results indicate that mathematics identity, self-efficacy, and interest are uniquely related to persistence and mathematics performance for Black students. This study contributes to the mathematics education scholarship by providing data-driven recommendations to support Black students’ mathematics instruction that maximizes the influence of their unique mathematics dispositions on their long-term learning outcomes.
摘要本研究旨在探讨黑人学生数学倾向与数学成绩之间的关系。该研究旨在阐明数学倾向,如身份、自我效能、兴趣和效用,对黑人学生的数学平均成绩(gpa)和学分的急性影响。对2009/2012年高中纵向研究的黑人学生样本(N = 2492)进行典型相关分析。结果表明,黑人学生的数学认同、自我效能感和兴趣与坚持和数学成绩有独特的关系。本研究通过提供数据驱动的建议来支持黑人学生的数学教学,最大限度地发挥其独特的数学倾向对其长期学习成果的影响,从而为数学教育奖学金做出了贡献。
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引用次数: 2
Transforming Preservice Teachers’ Conceptions and Lesson Plan Designs for Teaching Mathematics from a Direct-Teaching Approach to a Reform-Based Approach 职前教师数学教学观念与教案设计从直接教学向改革教学转变
Q2 Mathematics Pub Date : 2020-11-29 DOI: 10.1080/19477503.2020.1847988
Ozgul Kartal, W. Tillett
ABSTRACT This study investigated preservice teachers’ (PTs) conceptions of how math is well-taught, their ability to design lessons that employ reform-based practices, and relations between their conceptions and lesson plans. We developed a survey and a rubric, in relation to the most recent standards and practices in U.S for the teaching and learning of math, to measure conceptions of how math is well-taught, and to measure the quality of a lesson plan. We designed and implemented a series of activities based on most recent reform-based standards and practices in a math methods course. The results showed significant change in PTs’ (n = 68) conceptions, however, there was not any significant relationship between their conceptions and their capability of designing reform-based lesson plans. While significant change occurred both in PTs’ conceptions and lesson-planning styles, the scores indicated that they were not yet fully convinced, nor fully capable. Suggestions and implications for teacher educators are discussed.
摘要本研究调查了职前教师(PTs)对如何教好数学的概念,他们设计采用基于改革的实践的课程的能力,以及他们的概念和课程计划之间的关系。我们根据美国数学教学的最新标准和实践,制定了一项调查和一个标准,以衡量如何教好数学的概念,并衡量课程计划的质量。在数学方法课程中,我们根据最新的改革标准和实践设计并实施了一系列活动。结果显示,学生(n = 68)的观念发生了显著变化,但他们的观念与设计改革教案的能力之间没有显著的关系。虽然学生的观念和课程规划风格都发生了重大变化,但分数表明他们还没有完全相信,也没有完全有能力。讨论了对教师教育工作者的建议和启示。
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引用次数: 2
Examining the Validity Argument of A Survey Measuring Elementary Teachers’ Implementation of Standards-Based Mathematics Teaching: An Argument-Based Approach 一项测量小学教师实施标准数学教学的调查的有效性论证:基于论证的方法
Q2 Mathematics Pub Date : 2020-11-22 DOI: 10.1080/19477503.2020.1846967
Joseph Rino, Damon L. Bahr, Ross Larsen, R. Sudweeks, J. Robinson, Kimberlee K. Everson, E. Monroe
ABSTRACT In this paper the authors review the validity claims of a survey published in 2003, A Survey Measuring Elementary Teachers’ Implementation of Standards-Based Mathematics Teaching. Though the original survey received widespread attention and use, little formal review had been performed beyond the original estimates of reliability and validity. A content analysis was performed as well as exploratory and confirmatory factor analyses in order to understand the continued validity of the interpretations and uses of the instrument results. Although the content the survey measures aligns with contemporary conceptualizations of high-quality teaching practices and was originally published with a reliability estimate and evidence of its overall validity, its use should be modified to some degree in order to align with the further validity analyses described in this paper.
摘要本文回顾了2003年发表的一项调查《衡量小学教师实施标准数学教学的调查》的有效性声明。尽管最初的调查得到了广泛的关注和使用,但除了最初对可靠性和有效性的估计之外,几乎没有进行过正式的审查。进行了内容分析以及探索性和验证性因素分析,以了解仪器结果的解释和使用的持续有效性。尽管调查测量的内容与当代高质量教学实践的概念相一致,并且最初发表时对其总体有效性进行了可靠性估计和证据,但其使用应在一定程度上进行修改,以与本文中描述的进一步有效性分析相一致。
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引用次数: 0
Repositioning Black Girls in Mathematics Disposition Research: New Perspectives from QuantCrit 黑人女孩在数学倾向研究中的重新定位:来自量化批评的新视角
Q2 Mathematics Pub Date : 2020-11-08 DOI: 10.1080/19477503.2020.1827664
Jemimah L. Young, Jahneille Cunningham
ABSTRACT Young Black women face dual marginality in the classroom due to longstanding racial and gender stereotypes. However, critical examinations of their academic dispositions remain relatively absent from current discourse on Black student achievement. The mathematics dispositions of Black girls (N = 1707) who completed the High School Longitudinal Study of 2009/2012 (HSLS:09/12) were analyzed through cluster analysis. The results of this study suggest that the mathematics dispositions of young Black women can be characterized in four distinct categories. Within these categories, several trends that carry direct implications for the preparation and motivation of young Black women in mathematics are provided.
由于长期以来的种族和性别刻板印象,年轻的黑人女性在课堂上面临双重边缘化。然而,在目前关于黑人学生成绩的讨论中,对他们的学术倾向的批判性考试仍然相对缺席。采用聚类分析方法对完成2009/2012年高中纵向研究(HSLS:09/12)的黑人女生(N = 1707)的数学倾向进行分析。本研究的结果表明,年轻黑人女性的数学倾向可以分为四个不同的类别。在这些类别中,提供了对年轻黑人女性在数学方面的准备和动机具有直接影响的几个趋势。
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引用次数: 5
Teacher Candidates’ Silhouettes: Supporting Mathematics Teacher Identity Development in Secondary Mathematics Methods Courses 教师候选人剪影:支持中学数学方法课程中数学教师身份发展
Q2 Mathematics Pub Date : 2020-10-22 DOI: 10.1080/19477503.2020.1831173
Teresa K. Dunleavy, Alison S. Marzocchi, Maisie L. Gholson
ABSTRACT In this paper, teacher educators located at three different universities across the United States share findings emerging from our collaboration around a suite of three activities that engage our teacher candidates (TCs) around their identities as future mathematics teachers. In particular, our TCs engaged in a suite of identity-based activities in order to promote reflexivity across dimensions in a way that we argue is not possible through a single activity. We implemented activities to promote our TCs’ reflexivity, as well as to engage in critical self-reflection on our own practice as mathematics teacher educators. We explore the relationship between multidimensional reflexivity and beginning teachers who hold commitments toward justice and equity in mathematics education. Three activities – a mathematics autobiography, a silhouette, and an identity card sort – were selected, modified, implemented, and reflected on across our secondary mathematics methods courses, with the goal of promoting reflexivity across dimensions. We refer to reflexivity across dimensions as one’s ability to explore one’s identity within various analytical frames. The autobiography, silhouette, and card sort offered opportunities for TCs to explore the dimensions of their narrative, discursive, and categorical reflexivity, respectively. We found that TCs engaged in continual questioning and perturbing of their positions in society in ways that contributed to their sense of self and promoted reflexivity across the dimensions of TCs’ mathematics identities.
摘要在本文中,来自美国三所不同大学的教师教育工作者分享了我们围绕一系列三项活动进行合作的结果,这些活动让我们的教师候选人(TC)围绕他们作为未来数学教师的身份参与进来。特别是,我们的TC参与了一系列基于身份的活动,以促进跨维度的自反性,我们认为这是不可能通过单一活动实现的。我们开展了一些活动,以促进我们的TC的自反性,并对我们作为数学教师的实践进行批判性的自我反思。我们探讨了多维自反性与初任教师在数学教育中对正义和公平的承诺之间的关系。我们选择、修改、实施了三项活动——数学自传、剪影和身份证分类——并在我们的中学数学方法课程中进行了反思,目的是促进跨维度的自反性。我们把跨维度的自反性称为一个人在各种分析框架内探索自己身份的能力。自传、剪影和卡片分类分别为TC提供了探索其叙事、话语和范畴自反性维度的机会。我们发现,TC不断质疑和扰乱他们在社会中的地位,这有助于他们的自我意识,并在TC的数学身份维度上促进自反性。
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引用次数: 1
The Qualms and Quarrels with Online Undergraduate Mathematics: The Experiences of African American Male STEM Majors 在线本科数学的争论:非裔美国男性STEM专业学生的经历
Q2 Mathematics Pub Date : 2020-10-19 DOI: 10.1080/19477503.2020.1827663
C. Jett
ABSTRACT Equity-related issues are a critical contemporary concern in mathematics education, and one specific area that has been taken up deals with equitable instructional modalities. However, the focus of many of these discussions, meetings, and publications is on K–12 mathematics education. This study reports on one aspect of an ongoing, equity issue in undergraduate mathematics education – face-to-face versus online mathematics instruction. In so doing, it investigates this issue surrounding online mathematics learning with African American (Both African American and Black are used interchangeably throughout this article, and these terms refer to students who were born and completed their schooling in the United States.) male Science, Technology, Engineering, and Mathematics (STEM) majors who have successfully completed the Calculus sequence using a critical race perspective. Findings show that these Black men did not prefer online mathematics instruction. Recommendations are shared to deal with the qualms and quarrels of online mathematics and ultimately better prepare African American male students for STEM majors.
摘要:与公平相关的问题是当代数学教育中一个重要的问题,其中一个特定的领域涉及公平的教学模式。然而,这些讨论、会议和出版物中的许多都集中在K-12数学教育上。这项研究报告了本科生数学教育中持续存在的公平问题的一个方面——面对面与在线数学教学。在这样做的过程中,它调查了围绕非裔美国人在线数学学习的这个问题(在本文中,非裔美国人和黑人都可以互换使用,这些术语指的是在美国出生和完成学业的学生。)男性科学、技术、工程、,以及数学(STEM)专业学生,他们使用批判性种族观点成功完成了微积分序列。研究结果表明,这些黑人男性并不喜欢在线数学教学。我们分享了一些建议,以解决在线数学的疑虑和争吵,并最终更好地为非裔美国男学生学习STEM专业做好准备。
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引用次数: 3
Whiteness as a Stumbling Block in Learning to Teach Mathematics for Social Justice 白人是社会公正数学教学的绊脚石
Q2 Mathematics Pub Date : 2020-10-12 DOI: 10.1080/19477503.2020.1827662
Frances k. Harper, Eryn M. Maher, H. Jung
ABSTRACT Using mathematics as a tool to interrogate (in)justice and take action toward a more socially just world in PreK–12 mathematics shows promise for disrupting marginalization of Black and Brown students. Teachers, however, work within broader systems, structures, and discourses that shape their decisions and actions. Consequently, they likely feel imbalance, and attempts to manage tensions may inadvertently perpetuate whiteness – the ideologies that value the white racial group over others. To explore this phenomenon, we asked: How do white teachers learning to teach mathematics for social justice disrupt whiteness in mathematics education, and how do they perpetuate whiteness? We examined two newly practicing teachers’ social justice mathematics lesson planning, enactment, and reflection through a framework for the operation of whiteness in mathematics education. Findings provide insights into the perpetuation and disruption of whiteness in the institutional and labor dimensions of mathematics teaching and learning as teachers sought to balance mathematics and social justice goals and connect to Black and Brown students’ experiences. We discuss implications for the continued learning of social justice teaching and the development of resources to support disruption of whiteness in mathematics education.
摘要在K-12年级之前,将数学作为一种工具来质疑正义并采取行动,建立一个更加社会公正的世界,这表明数学有望打破黑人和棕色人种学生的边缘化。然而,教师在更广泛的系统、结构和话语中工作,这些系统、结构、话语塑造了他们的决策和行动。因此,他们可能会感到不平衡,试图控制紧张局势可能会无意中使白人永久化——白人是一种重视白人种族群体而非他人的意识形态。为了探究这一现象,我们问道:白人教师为了社会正义而学习数学,是如何破坏数学教育中的白人的,又是如何使白人永久存在的?我们通过一个数学教育中白人运作的框架,考察了两位新实践教师的社会正义数学课程规划、制定和反思。研究结果深入了解了白人在数学教学的制度和劳动层面上的长期存在和破坏,因为教师们试图平衡数学和社会正义目标,并与黑人和棕色人种学生的经历联系起来。我们讨论了继续学习社会正义教学和开发资源以支持数学教育中白人化的影响。
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引用次数: 8
Bilingual Pre-service Teachers and Their Opportunities to Learn 双语职前教师及其学习机会
Q2 Mathematics Pub Date : 2020-10-01 DOI: 10.1080/19477503.2020.1836458
G. Krause, Juanita M. Silva, Jair J. Aguilar
ABSTRACT We worked to identify how the availability of two languages, Spanish and English, facilitates the teaching of mathematics when instruction is centered on students’ mathematical thinking. We present results of interactions between seven bilingual pre-service teachers and seven bilingual 5th-graders working on fractions. Using a theoretical framework focused on the use of one-on-one interviews, translanguaging, and responsive teaching, we identified two aspects of language in teaching mathematics in the bilingual classroom: (a) language as a hidden resource that bilingual teachers possess and (b) language as a resource not isolated from teaching mathematics. We argue that these two aspects are situated in, and integrated into, the practice of teaching and in this way should be part of the preparation of bilingual teachers.
摘要:我们致力于确定当教学以学生的数学思维为中心时,西班牙语和英语这两种语言的可用性如何促进数学教学。我们展示了七名双语职前教师和七名双语五年级学生在分数方面的互动结果。利用一对一访谈、跨语言教学和反应式教学的理论框架,我们确定了双语课堂数学教学中语言的两个方面:(a)语言是双语教师拥有的隐藏资源;(b)语言是与数学教学无关的资源。我们认为,这两个方面都位于教学实践中,并融入教学实践,因此应该成为双语教师培养的一部分。
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引用次数: 4
Diego’s Number Understanding Development through His Subitizing and Counting 迭戈从他的细分和计数中看数字理解的发展
Q2 Mathematics Pub Date : 2020-10-01 DOI: 10.1080/19477503.2020.1824287
Beth L. MacDonald, J. Hunt, Kristy Litster, Allison L. Roxburgh, M. Leitch
ABSTRACT Subitizing, a quick apprehension of the numerosity of a small set of items, has been found to explain students’ number understanding when counting. We utilized a constructivist teaching experiment methodology to investigate how the counting and subitizing activity of one student, Diego, related to his number understanding (described by his pre-numerical units construction) when solving early number tasks. Subitizing and counting tasks were designed to assess and leverage Diego’s pre-numerical units development. Findings indicated that as Diego’s pre-numerical units included more than one way to construct five, he still relied on external material. Implications of this study suggest that task design should be grounded in unique aspects of student reasoning and should be designed to promote students’ partitioning as well as use of finger patterns, pointing, and number words.
摘要Subitizing是对一小组项目的数量的快速理解,它可以解释学生在计数时对数字的理解。我们采用建构主义教学实验方法,研究了一名学生Diego在解决早期数字任务时的计数和分类活动与他的数字理解(由他的预数字单元结构描述)之间的关系。细分和计数任务旨在评估和利用Diego的预数值单位开发。研究结果表明,由于Diego的预数值单位包括不止一种构建五个的方法,他仍然依赖外部材料。这项研究的启示表明,任务设计应该以学生推理的独特方面为基础,并且应该促进学生的划分以及手指模式、指向和数字词的使用。
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引用次数: 1
Learning with and from School-Aged Children: Implications for Mathematics Methods Coursework Design 与学龄儿童一起学习:对数学方法课程设计的启示
Q2 Mathematics Pub Date : 2020-08-24 DOI: 10.1080/19477503.2020.1811025
R. Mistretta
ABSTRACT The importance of practical learning environments for developing preservice teachers’ (PSTs’) dispositions and skills for teaching mathematics is underscored in a growing body of literature. Hence, teacher preparation programs often include methods courses embedded within K-12 schools. Utilized to a lesser extent; however, are campus-based interactions with school-aged children. Through action research, I investigated how such communications embedded within a mathematics methods course influenced PSTs’ learning. Findings portray the interactions serving as authentic reference points that helped anchor PSTs’ stance for teaching mathematics visually. In addition, PSTs noted an element of connectedness permeating the interactions that supported course learning. I do not imply that campus-based interactions replace school-based ones. Rather, I highlight features for mathematics teacher educators (MTEs) to consider when designing learning experiences both within schools and on campus.
在越来越多的文献中,实践学习环境对培养职前教师(pst)的性格和数学教学技能的重要性得到了强调。因此,教师培训课程通常包括嵌入K-12学校的方法课程。较少利用的:在较小程度上被利用的;然而,是基于校园的互动与学龄儿童。通过行动研究,我调查了这种嵌入在数学方法课程中的交流如何影响pst的学习。研究结果将互动描述为真实的参考点,帮助确定pst在视觉上的数学教学立场。此外,PSTs注意到贯穿于支持课程学习的互动中的连通性元素。我并不是说以校园为基础的互动会取代以学校为基础的互动。相反,我强调了数学教师教育工作者(mte)在设计学校和校园学习体验时需要考虑的特征。
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引用次数: 1
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Investigations in Mathematics Learning
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