Mathematics instructors’ attention to instructional interactions in discussions of teaching rehearsals

Author(s):  
Lindsay Nicole Czap ◽  
Sally Ahrens ◽  
Alyson E. Lischka
2016 ◽  
Vol 118 (7) ◽  
pp. 1-60 ◽  
Author(s):  
Steven Z. Athanases ◽  
Betty Achinstein ◽  
Marnie W. Curry ◽  
Rodney T. Ogawa

Background/Context Literatures on college-going cultures offer patterns and lists of practices that promote schoolwide attention to college-going for nondominant youth, often with organization-level analyses of policies and procedures. Other literature identifies promising practices and challenges to conventional instruction, often examining pedagogical discourse. Seldom are ideas from these two literatures brought together to examine promises and tensions of effectively preparing youth of color for higher education. Our study examined both school and classroom levels to develop such understanding. Purpose/Objective/Research Question/Focus of Study The purpose was to learn how high schools committed to reversing historic underrepresentation of low-SES students of color in higher education may leverage two dimensions of schooling to hit this goal: development of a school-wide college-going culture with norms and roles that articulate high expectations and provide extensive supports toward college admissions and academically engaging classroom experiences that include rigorous and meaningful disciplinary challenges, supported by language-rich communication, collaboration, culture, and context. To learn about one school's complex college-for-all efforts, we asked: How is a college-going culture enacted at the school, and by whom, to support Latina/o students in gaining access to college? What is the nature of academic engagement at the school that may help prepare Latina/o students for college? Setting Urban College Academy (UCA) is a public charter high school whose population was 98% Latina/o, 35% English learners, 81% receiving free/reduced price lunch. UCA's entering students were predominantly two or more years below grade level in reading and computing, according to standardized tests. The school explicitly recruits students who have previously failed a course, and the mission statement identifies “underachieving students” as UCA's target population. Students are mostly of Mexican origin, with roughly 80% first generation. Population/Participants/Subjects We collected data from school leaders, teachers, counselors, parents, and students. At classroom level, we selected six focal teachers (diverse in subject areas, ethnicity/race, and gender). We examined work and perspectives of focal students representative of academic performance and English language proficiency per focal class. Research Design We treat UCA as a “critical case,” holding strategic importance to the problem on which the study focuses. Using qualitative methods, a survey, and structured observation scores, we worked to integrate, associate, and counter themes and findings between and across school organization and classroom levels. Data Collection and Analysis School-level analysis focused on normative social structures (goals, values, norms, and roles); resource allocations associated with advancing a mission to promote Latina/o students’ academic success and college acceptance; and factors UCA identified as relevant. Drawing on over 40 hours of transcribed interviews with a wide range of participants, we developed themes and triangulated with other data. Classroom observation data were analyzed using CLASS and Standards Performance Continuum protocols, supported by other analyses. Teacher cases used teacher history and refections on practice; videos, annotated fieldnotes; materials of teaching; and student work samples and focus groups. We found comparisons, contrasts, and tensions across lessons and classes; one case emerges as “a pocket of promise.” Conclusions/Recommendations The study reveals a need for ongoing attention to both a college-going culture and instructional interactions. It highlights distinctions between college talk (talk about college) and college-level academic discourse, or socialization versus academic functions of schooling for college access and success. The study uncovers promising instructional interactions, as well as tensions, in engaging low-SES Latina/o students in academically rigorous work. Results suggest schools supporting low-SES youth of color may need a schoolwide culture of engaged learning that is rigorous, meaningful, and infused throughout school.


2012 ◽  
Vol 106 (2) ◽  
pp. 150-155
Author(s):  
Dick J. Smith ◽  
Eric F. Errthum

Many mathematics instructors attempt to insert guided exploration into their courses. However, exploration tasks frequently come across to students as contrived, pertinent only to the most recently covered section of the textbook. In addition, students usually assume that the teacher already knows the answers to these explorations.


Author(s):  
Carolyn Goodman Turkanis

Children are natural learners, curious and inquisitive, wondering why and who and how. They thrive in an environment that allows curriculum to emerge naturally, with support from other children, co-oping parents, and teachers, around their needs and interests. They are quick to express opinions, offer suggestions, and invent projects. They are an incredible natural resource, and in a community of learners, they contribute to meaningful, exciting curriculum. In a community of learners, everyone has a part to play in supporting the learning process. Children help plan and develop curriculum and are expected to be active participants and responsible learners. Parents support projects and activities with ideas and guest speakers; they teach and present curriculum. The teacher supports both children and parents in their planning, organizes and facilitates all the learning involved, and is ultimately accountable for curriculum development and content. Each role is valuable and part of the whole—more than the sum of the parts. Curriculum can be built by the community together, making use of children’s interests and experience as a key impetus. Such curriculum builds on individual and collective interests to weave together instructional interactions that support and inspire learning by: . . . • Seizing the moment to build on interesting ideas that emerge in classroom discussion . . . . . . • Recognizing that children have their own learning agendas that can provide motivation and the “way in” to learning about all kinds of other curriculum areas . . . . . . • Supporting units of study that often emerge as a group process, as people become interested in each others’ interests and build on each others’ expertise . . . . . . • Using resources of all kinds (with little reliance on textbooks) . . . After exploring these points, I will discuss how the classroom structure and the teacher help create such an emerging curriculum, and the question of what the children learn. Curriculum is all around us, just waiting to happen. This is frequently referred to as “teaching to the moment,” or “seizing the moment.”


2020 ◽  
pp. 1476718X2094295
Author(s):  
Janna Fuccillo Kook ◽  
Daryl B Greenfield

High-quality instructional interaction, in which teachers engage children in conversations that support the development of higher order thinking skills, conceptual understanding, and advanced language skills, is associated with positive outcomes for preschool children. Classrooms serving low-income preschoolers tend to have lower levels of this kind of instruction and yet research suggests that it may be particularly important for these children. The aim of this study was to examine variation in the quality of instructional interactions in Head Start classrooms across different types of teacher-directed activities. Twenty-four Head Start classrooms were observed across four activity types (circle time, math activities, science activities, and storybook reading), and quality of instructional interaction was assessed using the Instructional Support domain of the Classroom Assessment Scoring System. Science activities and storybook reading were associated with higher quality instructional interaction compared with circle time, controlling for teacher characteristics and classroom contextual factors. Math activities were not associated with higher quality instructional interaction compared with circle time. Science and storybook reading may be natural entry points for supporting higher quality instructional interaction in Head Start classrooms.


1989 ◽  
Vol 82 (5) ◽  
pp. 378-379
Author(s):  
Charles E. Mitchell

That Henry Wadsworth Longfellow was one of America's most outstanding poets is hardly a little-known fact. That he was also an accomplished mathematician is something few people know. One of the problems mathematics instructors face is dealing with mathematics anxiety and the myth that “some people have a math mind and some don't” (Kogelman and Warren 1978). Mathematics is often viewed as a “mystique accessible to few” (Buxton 1981); and even many educators will categorize a student as a non mathematics person, thus students “are steered away from precollege mathematics” and “not even given the chance to fail” (Tobias 1978). We forget that success in mathematics is dependent on interest as much as ability. and I am afraid that we often do not take the steps we could to reach individual students


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