This article presents a study that investigated potential misconceptions presented in third grade mathematics classrooms and the association of these potential misconceptions with Mathematical Knowledge for Teaching (MKT) and standards-based teaching practices (as measured by the Mathematics Scan). A sequential explanatory mixed methods model was used to analyze the frequency of potential misconceptions presented via instances of lack in teacher clarity or misuse of representations as well as the association to MKT and M-Scan scores. A qualitative multiple case study design was then used to identify patterns in lessons where potential misconceptions were often present as opposed to lessons where no potential misconceptions were presented. The results document the prevalence of potential misconceptions related to representations and language use. These potential misconceptions were most frequently conveyed through a lack of clarity or overgeneralization. Teachers who had higher frequencies of potential misconceptions were found to relate to lower MKT and M-Scan composites. This supports professional development and policy initiatives in mathematics education of the importance of teachers’ content knowledge for mathematics teaching.
This article explores how a laboratory middle school (LMS) serving students from low-performing elementary schools and students with academic or social-emotional challenges is developing as a trauma-responsive school. The authors explore the literature, school/community context, student cases, and the ways in which classroom and school-wide practices are trauma-informed. Trauma-informed practices focus on individual students as well as whole classroom and school-wide initiatives, potentially benefiting all, not only those students experiencing trauma. At LMS, a community of care system, evaluation committee, tribe and village meetings, the democratic classroom approach, project-based learning, as well as focused enrichment and remediation are all initiatives that have demonstrated some success. Documentation of such successes merits exploration in other middle schools. The LMS team seeks to understand and implement highest leverage practice as students are challenged academically, their socioemotional needs are supported, and resiliency is built not only in the classroom but also in the lives of the young adolescents themselves.
This chapter provides middle school mathematics teachers with strategies to specifically address culturally responsive teaching goals. Authors provide background on culturally sustaining practices and use Ellerbrock and Vomvoridi-Ivanovic’s (2019) three goals for Responsive Middle Level Mathematics Teaching (RMLMT) as a foundation to suggest three specific tools middle level practitioners can use to enhance their students’ experiences. The first goal, advancing young adolescent learners’ mathematical thinking, includes getting to know individuals’ mathematical selves. Goal two addresses promoting equity in young adolescent learner’s mathematical classroom learning experiences. Goal three, attending to young adolescents’ characteristics, needs, and interests, includes an examination of ways to use young adolescent characteristics in middle school math classrooms. The three tools we are recommending include: reflection, literacy integration, and utilization of place-based, problem-based learning. Each of these tools reflect practices that sustain an environment operationalizing the goals of RMLMT.
11 October 2019 in Theory & Practice in Rural Education
As increasing inclusion in schools has been emphasized with each reauthorization of the Individuals with Disabilities Education Act amendments, the implementation of co-teaching has increased. Co-teaching has emerged as a supportive framework that uses principles of social justice in building inclusive nurturing environments, yielding positive student outcomes in social as well as academic areas of education. The authors explored the use of co-teaching within a laboratory school setting by analyzing experiences between general education faculty and not only special education faculty but also preservice teachers. Research has found that co-teaching to support preservice and early-career teachers is a natural outgrowth of the special education and general education partnerships created in the co-taught classroom when an intern is placed in such a setting. When used with fidelity, co-teaching is an instructional option that plays an integral part in building effective and efficient ways to foster student learning while enhancing classroom community. Co-teaching can be a powerful mechanism that supports sharing of responsibility and accountability for student achievement, as well as social, emotional, and behavioral growth. A child-centered philosophy was perceived as important to both preservice and co-teachers because of the individual factors that guided practice. With strong leadership from school administrators, commitment and flexibility on the part of classroom teachers, and skills of colleagues, preservice teachers report outstanding growth. Co-teaching, carefully implemented, can foster a nurturing classroom culture and support preservice teachers as they apply knowledge and skills in a constant reflective process, which benefits all teachers and students.
This case study describes responsive approaches to middle grades education and teacher education at Laboratory Middle School (LMS), a subunit of the college of education in a public university in the southeastern USA. LMS was established with a mission to serve rural students who had experienced struggles in the regular school system and to serve as a clinical site for the preparation of middle grades teachers, counselors, and school nurses. Many students at LMS have faced challenges due to physical or cognitive exceptionalities or because of traumatic experiences. Thus, programs and practices in the school must respond to the developmental stage of the young adolescents whom it serves, as well as the many varied individual needs of the learners. The conceptual frame for the study is “responsiveness” as defined by seminal middle-level literature (e.g., This We Believe), and the theoretical underpinnings are constructed from theories of stage–environment fit and human ecology. The study employs a case study design and qualitative methods of data collection and analysis. The case report describes the LMS context and details manifestations of responsiveness at LMS organized in three categories: (a) culture and community; (b) curriculum, instruction, and assessment; and (c) leadership and organization. The authors offer four sets of implications for the design and delivery of responsive programming in middle-level schools: (a) a holistic approach to young adolescent education; (b) commitment to continuous improvement; (c) theoretical pragmatism in pedagogical practices, programs, and policies; and (d) engagement of preservice teachers in immersive field experiences.
18 June 2024 in Investigations in Mathematics Learning