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Preservice/Pre-service

CAREER: Exploring Beginning Mathematics Teachers' Career Patterns

Research increasingly provides insights into the magnitude of mathematics teacher turnover, but has identified only a limited number of factors that influence teachers' career decisions and often fails to capture the complexity of the teacher labor market. This project will address these issues, building evidence-based theories of ways to improve the quality and equity of the distribution of the mathematics teaching workforce. 

Award Number: 
1350158
Funding Period: 
Fri, 08/15/2014 - Wed, 07/31/2019
Full Description: 

Recruiting and retaining effective mathematics teachers has been emphasized in national reports as a top priority in educational policy initiatives. Research indicates that the average turnover rate is nearly 23% for beginning teachers (compared to 15% for veteran instructors); turnover rates for beginning mathematics teachers are even higher. Many mathematics teachers with three or fewer years' experience begin their careers in high-needs schools and often transfer to low-need schools at their first opportunity. This reshuffling, as effective teachers move from high- to low-need schools, exacerbates the unequal distribution of teacher quality, with important implications for disparities in student achievement. Research increasingly provides insights into the magnitude of mathematics teacher turnover, but has identified only a limited number of factors that influence teachers' career decisions and often fails to capture the complexity of the teacher labor market. Thus, it is essential to understand the features, practices, and local contexts that are relevant to beginning teachers' career decisions in order to identify relevant strategies for retention. This project will address these issues, building evidence-based theories of ways to improve the quality and equity of the distribution of the mathematics teaching workforce. This support for an early CAREER scholar in mathematics policy will enhance capacity to address issues in the future.

This work will be guided by three research objectives, to: (1) explore patterns in mathematics teachers' career movements, comparing patterns between elementary and middle school teachers, and between high- and low-need schools; (2) compare qualifications and effectiveness of teachers on different career paths (e.g., movement in/out of school, district, field); and (3) test a conceptual model of how policy-malleable factors influence beginning math teachers' performance improvement and career movements. The PI will use large-scale federal and state longitudinal data on a cohort of teachers who were first-year teachers in 2007-08 and taught mathematics in grades 3-8. Three samples will be analyzed separately and then collectively: a nationally representative sample from the Beginning Teacher Longitudinal Study (about 870 teachers who represent a national population of nearly 85,970); about 4,220 Florida teachers; and about 2,410 North Carolina teachers. In addition, the PI will collaborate with Education Policy Initiative at Carolina (EPIC) at UNC-Chapel Hill to collect new data from the 2015-16 cohort of first-year teachers in NC (about 800 teachers) and follow them for 2 years. The new data collection will provide detailed and reliable measures on the quality of both pre- and in-service teacher supports in order to understand how they may be linked to teachers' career movements and performance.

CAREER: Exploring Beginning Mathematics Teachers' Career Patterns

CAREER: L-MAP: Pre-service Middle School Teachers' Knowledge of Mathematical Argumentation and Proving

This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program?

Lead Organization(s): 
Award Number: 
1350802
Funding Period: 
Tue, 07/15/2014 - Sun, 06/30/2019
Full Description: 

The field of mathematics teacher education needs a strong understanding of pre-service teachers' knowledge about the practice of mathematical argumentation and proof, including the development of this knowledge, to effectively move pre-service teachers toward a more sophisticated understanding and enactment of this practice with their own students. The integrated research and educational activities will contribute to the knowledge base teacher education programs need to effectively prepare middle school teachers for meeting the challenges of how to make reasoning and proof an integral aspect of instructional practice. The research results have the potential to guide teacher educators and educational researchers concerned with strengthening pre-service teachers' ability to make reasoning and proving an integral aspect of school mathematics. Consequently, pre-service teachers will be better equipped to develop mathematical reasoning skills in their future students and to support their students in learning mathematics with understanding. Given this country's growing need for a competent STEM workforce, helping all students learn mathematics in a way that supports deeper understanding is a priority. Additionally, the support of early CAREER scholars in mathematics education will add to the capacity of the country to address issues in mathematics education in the future.

The objective of this program of research is to examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program? This development will be studied along three dimensions: (a) pre-service teachers' own ability to formulate mathematical arguments, (b) their ability to analyze mathematical arguments, and (c) their ability to analyze situations that engage students in mathematical argumentation and proving. Cross-sectional and longitudinal studies of 60 pre-service teachers' models, or systems of interpretation, of mathematical argumentation and proof in curricular context that foster reasoning about change, proportionality and proportional relationships will be conducted to provide an understanding of the trajectory that captures how pre-service teachers develop their knowledge of mathematical argumentation and proving throughout their university mathematics preparation program and into their student teaching.

CAREER: L-MAP: Pre-service Middle School Teachers' Knowledge of Mathematical Argumentation and Proving

CAREER: Advancing Secondary Mathematics Teachers' Quantitative Reasoning

Advancing Reasoning addresses the lack of materials for teacher education by investigating pre-service secondary mathematics teachers' quantitative reasoning in the context of secondary mathematics concepts including function and algebra. The project extends prior research in quantitative reasoning to develop differentiated instructional experiences and curriculum that support prospective teachers' quantitative reasoning and produce shifts in their knowledge.

Award Number: 
1350342
Funding Period: 
Tue, 07/15/2014 - Sun, 06/30/2019
Full Description: 

Science, Technology, Engineering and Mathematics [STEM] and STEM education researchers and policy documents have directed mathematics educators at all levels to increase emphasis on quantitative reasoning so that students are prepared for continued studies in mathematics and other STEM fields. Often, teachers are not sufficiently prepared to support their students' quantitative reasoning. The products generated by this project fill a need for concrete materials at the pre-service level that embody research-based knowledge in the area of quantitative reasoning. The accessible collection of research and educational products provides a model program for changing prospective mathematics teachers' quantitative reasoning that is adoptable at other institutions across the nation. Additionally, the support of early CAREER scholars in mathematics education will add to the capacity of the country to address issues in mathematics education in the future.

Advancing Reasoning addresses the lack of materials for teacher education by investigating pre-service secondary mathematics teachers' quantitative reasoning in the context of secondary mathematics concepts including function and algebra. The project extends prior research in quantitative reasoning to develop differentiated instructional experiences and curriculum that support prospective teachers' quantitative reasoning and produce shifts in their knowledge. Three interrelated research questions guide the project: (i) What aspects of quantitative reasoning provide support for prospective teachers' understanding of major secondary mathematics concepts such as function and algebra? (ii) How can instruction support prospective teachers' quantitative reasoning in the context of the teaching and learning of major secondary mathematics concepts such as function and algebra? (iii) How do the understandings prospective teachers hold upon entering a pre-service program support or inhibit their quantitative reasoning? Advancing Reasoning addresses these questions by enacting an iterative, multi-phase study with 200 prospective teachers enrolled in a secondary mathematics education content course over 5 years. The main phase of the study implements a series of classroom design experiments to produce knowledge on central aspects of prospective teachers' quantitative reasoning and the instructional experiences that support such reasoning. By drawing this knowledge from a classroom setting, Advancing Reasoning contributes research-based and practice-driven deliverables that improve the teaching and learning of mathematics.

CAREER: Advancing Secondary Mathematics Teachers' Quantitative Reasoning

Integrating Quality Talk Professional Development to Enhance Professional Vision and Leadership for STEM Teachers in High-Need Schools

This project expands and augments a currently-funded NSF Noyce Track II teacher recruitment and retention grant with Quality Talk (QT), an innovative, scalable teacher-facilitated discourse model. Over the course of four years, the work will address critical needs in physics and chemistry education in 10th through 12th grade classrooms by strengthening the capacity of participating teachers to design and implement lessons that support effective dialogic interactions.

Award Number: 
1316347
Funding Period: 
Mon, 07/15/2013 - Fri, 06/30/2017
Full Description: 

This project expands and augments a currently-funded NSF Noyce Track II teacher recruitment and retention grant with Quality Talk (QT), an innovative, scalable teacher-facilitated discourse model. It is hypothesized that the QT model will enhance pre- and in-service secondary teachers' development of professional vision and leadership skills necessary for 21st century STEM education. Over the course of four years, the work will address critical needs in physics and chemistry education in 10th through 12th grade classrooms in five of Georgia's high-need school districts by strengthening the capacity of participating teachers to design and implement lessons that support effective dialogic interactions. As a result of such interactions, students' scientific literacy will be enhanced, including their ability to participate in content-rich discourse (i.e., QT) through effective disciplinary critical-analytic thinking and epistemic cognition. The contributions of this project, beyond the tangible benefits for teacher and student participants, include the development, refinement, and dissemination of an effective QT intervention and professional developmental framework that the entire science education community can use to promote scientific literacy and understanding.

The project goals are being achieved through a series of three studies employing complementary methods and data sources, and a focus upon dissemination of the model in the final project year. The first two years of the project focus on developing and refining the curricular and intervention efficacy materials using design-based research methods. In Year 3, the project engages in a quasi-experimental study of the refined QT model, followed by further refinements before disseminating the materials both within Georgia and throughout the national science education community in Year 4. Quantitative measures of teacher and student discourse and knowledge, as well as video-coding and qualitative investigations of intervention efficacy, are being analyzed using multiple methods. In collaboration with, but independent from project staff and stakeholders, the participatory and responsive evaluation utilizes a variety of qualitative and quantitative methods to conduct formative and summative evaluation.

Over the course of four years, the project will involve the participation of approximately 32 teachers in Georgia whose students include substantive percentages from populations underrepresented in the STEM fields. In addition to advancing their own students' scientific literacy, these participating teachers receive professional development on how to train other teachers, outside of the project, in using QT to promote scientific literacy. Further, the project will conduct a QT Summit for educational stakeholders and non-participant teachers to disseminate the intervention and professional development model. Finally, the project team will disseminate the findings widely to applied and scholarly communities through a website with materials and PD information (http://www.qualitytalk.org), professional journals, conferences, and NSF's DRK-12 Resource Network. This project, with its focus on teacher leadership and the pedagogical content knowledge necessary to use discourse to promote student science literacy, significantly advances the nation's goals of producing critical consumers and producers of scientific knowledge.

Integrating Quality Talk Professional Development to Enhance Professional Vision and Leadership for STEM Teachers in High-Need Schools

Investigating Simulations of Teaching Practice: Assessing Readiness to Teach Elementary Mathematics

The PI of this project argues cogently that assessment of pre-service teacher preparedness to teach is based on a flawed model. The goal then is to use a simulation model from other professional arenas: the training of doctors, nurses, etc., to offer new insights and control for the many variables that come to play when conducting evaluations in practice.

Lead Organization(s): 
Award Number: 
1316571
Funding Period: 
Tue, 10/01/2013 - Wed, 09/30/2015
Full Description: 

The PI argues cogently that assessment of pre-service teacher preparedness to teach is based on a flawed model. The goal then is to use a simulation model from other professional arenas: the training of doctors, nurses, etc., to offer new insights and control for the many variables that come to play when conducting evaluations in practice. These might include classroom context, the difficulty of the mathematics being deployed, etc. To do this the PI will develop three assessments that vary in the simulation scenario. In the context of developing and validating these assessments, the PI will examine:

1. What do we learn about the nature of pre-service teachers skills at eliciting and interpreting students thinking and their mathematical knowledge for teaching (MKT) in use through assessments that simulate teaching practice? How does their performance correspond with eliciting and interpreting students mathematical thinking in classroom contexts?

2. How does the nature of pre-service teachers skills at eliciting and interpreting students thinking and mathematical knowledge vary in relation to different simulation scenarios? Are some simulation scenarios easier than other simulation scenarios?

3. What are the challenges of designing alternative versions of a particular simulation assessment?

Investigating Simulations of Teaching Practice: Assessing Readiness to Teach Elementary Mathematics

Fostering Pedagogical Argumentation: Pedagogical Reasoning with and About Student Science Ideas

This project will use an iterative approach to design activities and supports that foster pedagogical argumentation for use in undergraduate teacher education courses. This project will examine: 1) whether and how PSTs engage in pedagogical argumentation and 2) whether and how this engagement impacts how they listen and respond to student ideas.

Lead Organization(s): 
Award Number: 
1316232
Funding Period: 
Tue, 10/01/2013 - Fri, 09/30/2016
Full Description: 

Effective and ambitious teaching in science requires that teachers listen and respond to student ideas. But research shows that doing so in the classroom can be logistically, socially, and intellectually challenging for both expert and novice teachers. Listening to student ideas requires teachers to anticipate and interpret multiple lines of thinking that may be expressed ambiguously and simultaneously. Responding to student thinking, both in-the-moment and in future instruction, presents further challenges because teachers must balance their choices with other instructional priorities. Unfortunately, little work has been done to date in supporting these challenging practices in those who are learning to teach, pre-service teachers (PSTs). In order to address this gap, researchers in this Exploratory project will introduce a new approach to teacher education: pedagogical argumentation. Pedagogical argumentation creates a supportive environment in which the PSTs learn and refine these practices of listening and responding by using student ideas as evidence to construct and defend potential pedagogical decisions.

Over three years researchers from the University of Wisconsin-Madison will use an iterative approach to design activities and supports that foster pedagogical argumentation for use in undergraduate teacher education courses. This project will examine: 1) whether and how PSTs engage in pedagogical argumentation and 2) whether and how this engagement impacts how they listen and respond to student ideas. Working with both elementary and secondary PSTs, researchers will probe and explore their changing listening and responding practices by: collecting records of pedagogical argumentation (both video and written) as it occurs in the science teaching methods courses; conducting interviews about PSTs understanding of student ideas; and documenting PSTs teaching experiences in their school placements.

The science teacher education community writ large is in need of systematic approaches to teacher education that better support PSTs in learning ambitious teaching practices such as listening and responding to student ideas. The proposed study addresses this need and, in doing so, will support both immediate PSTs in engaging in this work as well as the broader teacher education community as it struggles with these same challenges. Moreover, the novel practice of pedagogical argumentation advances the fields theoretical understanding of the problem space for supporting these challenges by combining insight from two extensive programs of research in teaching and learning: 1) teacher reasoning about student ideas, and 2) argumentation about science content. As such, the practice of pedagogical argumentation has the potential to transform how teacher educators approach pre-service education.

Fostering Pedagogical Argumentation: Pedagogical Reasoning with and About Student Science Ideas

Developing Rich Media-Based Materials for Practice-Based Teacher Education

This research and development project is premised on the notion that recent technological developments have made it feasible to represent classroom work in new ways. In addition to watching recorded videos of classroom interactions or reading written cases, teacher educators and teachers can now watch animations and image sequences, realized with cartoon characters, and made to depict activities that happened, or could have happened, in a mathematics classroom.

Lead Organization(s): 
Award Number: 
1316241
Funding Period: 
Thu, 08/15/2013 - Fri, 07/21/2017
Full Description: 

The 4-year research and development project, Developing Rich Media-based Materials for Practice-based Teacher Education, is premised on the notion that recent technological developments have made it feasible to represent classroom work in new ways. In addition to watching recorded videos of classroom interactions or reading written cases, teacher educators and teachers can now watch animations and image sequences, realized with cartoon characters, and made to depict activities that happened, or could have happened, in a mathematics classroom. Furthermore, teacher educators and teachers can react to such animations or image sequences by making their own depictions of alternative moves by students or teachers in classroom interaction. And all of that can take place in an on-line, cloud-based environment that also supports discussion fora, questionnaires, and the kinds of capabilities associated with learning management systems. Such technologies offer important affordances to teacher educators seeking to provide candidates with course-based experiences that emphasize the development of practice-based skills. The focus of the project is on mathematics teacher education. This joint project of the University of Maryland Center for Mathematics Education and the University of Michigan will produce 6 to 8 field-tested modules for use in different courses that are a part of mathematics teacher preparation programs. The following two-pronged research question will be resolved: What are the affordances and constraints of the modules and the environment as supports for: (1) practice based teacher education and (2) a shift toward blended teacher education?

The project involves the following activities: (1) a teacher education materials development component; (2) a related evaluation component; and (3) two research components. The development phase seeks to develop both the LessonSketch.org platform and six to eight mathematics teacher education modules for use in preservice teacher education programs from around the country. The modules will be written with practice-based teacher education goals in mind and will use the capacities of the LessonSketch.org platform as a vehicle for using rich-media artifacts of teaching with preservice teacher candidates. LessonSketch Teacher Education Research and Development Fellows will be chosen through a competitive application process. They will develop their respective modules along with teams of colleagues that will be recruited to form their inquiry group and pilot the module activities. The evaluation activity will focus on the materials development aspect of the project. Data will be collected by the LessonSketch platform, which includes interviews with Fellows and their teams, perspectives of module writers, descriptive statistics of module use, and feedback from both teacher educator and preservice teacher end-users about the quality of their experiences. The first research activity of the project is design research on the kinds of technological infrastructure that are useful for practice-based teacher education. The PIs will identify tools that teacher educators need and want beyond the current capabilities for web-based support for use of rich media and will produce prototype tools inside the LessonSketch environment to meet these needs. The second research activity of the project will supplement the evaluation activity by examining the implementation of two of the modules in detail. This aspect of the research will examine the goals of the intended curriculum, the proposed modes of media use, the fidelity of the implemented curriculum, and learnings produced by preservice teachers. This research activity will help the field understand the degree to which practice-based teacher education that is mediated by an online access to rich media would be a kind of practice that could be easily incorporated into existing teacher education structures.

The project will produce 6 to 8 LessonSketch modules for use in teacher education classes. Each module will be implemented in at least eight teacher education classes across the country, which means that between 720 and 960 preservice teacher candidates will study the materials. The project aims to shift the field toward practice-based teacher education by supporting university programs to implement classroom-driven activities that will produce mathematics teachers with strong capabilities to teach mathematics effectively and meaningfully.

Developing Rich Media-Based Materials for Practice-Based Teacher Education

Secondary Science Teaching with English Language and Literacy Acquisition (SSTELLA)

This is a four-year project to develop, implement, and study an experimental model of secondary science pre-service teacher education designed to prepare novice school teachers to provide effective science instruction to English language learners (ELLs). The project incorporates the principles underlying the Next Generation Science Standards with a focus on promoting students' scientific sense-making, comprehension and communication of scientific discourse, and productive use of language.

Award Number: 
1316834
Funding Period: 
Thu, 08/01/2013 - Mon, 07/31/2017
Full Description: 

This is a four-year Discovery Research K-12 project to develop, implement, and study an experimental model of secondary science pre-service teacher education designed to prepare novice school teachers to provide effective science instruction to English language learners (ELLs). The project incorporates the principles underlying the Next Generation Science Standards with a focus on promoting students' scientific sense-making, comprehension and communication of scientific discourse, and productive use of language. It articulates theory and practice related to the teaching of science content and the development of English language and literacy, and provides teachers with models of integrated practice in video cases and curriculum units. To test the efficacy of the study, a longitudinal, mixed-methods, quasi-experimental study is conducted at four institutions: the University of California-Santa Cruz, Arizona State University, the University of Arizona, and the University of Texas-San Antonio.

The three research questions are: (1) What is the impact of the project's pre-service teacher education program on novice secondary science teachers' knowledge, beliefs, and practice from the pre-service program into the second year of teaching?; (2) What is the relationship between science method instructors' fidelity of implementation of the project's practices and novice teachers' outcomes (knowledge, beliefs, and practice)?; and (3) What is the relationship between novice teachers' implementation of project-promoted practices and their students' learning? To answer these questions, the project collects and analyzes quantitative and qualitative data on novice teachers (85 treatment group and 85 control group) over three years utilizing surveys, interviews, observations, and student assessment instruments. Teachers' beliefs and knowledge about teaching science to ELLs are measured using the project-developed Science Teaching Survey, which provides quantitative scores based on a Likert-type scale, and the science teacher interview protocol to provide qualitative data, including the contextual factors affecting implementation of project-promoted practices. Classroom observations are captured through qualitative field notes and the Classroom Observation Rubric--a systematic project-developed observation instrument that measures implementation of the practices. Student learning outcomes are measured using (a) the Woodcock-Muñoz Language Survey (students' proficiency at applying listening, reading, writing, and comprehension abilities); (b) the Literacy in Science Assessment (students' productive use of language in authentic science literacy tasks); (c) the Scientific Sense-Making Assessment (how students make sense of core science ideas through scientific and engineering practices); and (d) appropriate state standardized assessments. In addition, the Opportunity to Learn Survey gauges students' perceptions of implementation of literacy integration, motivation in class, and identity as readers.

Project outcomes are: (a) a research-based and field-tested model for pre-service secondary science teacher education, including resources for science methods courses instructors and pre-service teachers; and (b) valid and reliable instrumentation usable in similar research and development environments.

Secondary Science Teaching with English Language and Literacy Acquisition (SSTELLA)

From Undergraduate STEM Major to Enacting the NGSS

The Colorado Learning Assistant (LA) model, recognized nationally as a hallmark teacher recruitment and preparation program, has run a national workshop annually for four years to disseminate and scale the program. This project expands the existing annual workshop to address changing needs of participants and to prepare eight additional faculty members to lead new regional workshops.

Lead Organization(s): 
Award Number: 
1317059
Funding Period: 
Thu, 08/01/2013 - Fri, 07/31/2015
Full Description: 

The Colorado Learning Assistant (LA) model, recognized nationally as a hallmark teacher recruitment and preparation program, has run a national workshop annually for four years to disseminate and scale the program. This project expands the existing annual workshop to address changing needs of participants and to prepare eight additional faculty members to lead new regional workshops. Workshop sessions integrate crosscutting concepts, scientific practices, and engineering design as articulated in the Framework for K-12 Science Education (NRC, 2012). Infusing the Frameworks into the workshop helps STEM faculty better understand their role in preparing future K-12 teachers to implement the new standards, by transforming their own undergraduate courses in ways that actively engage students in modeling, argumentation, making claims from evidence, and engineering design. The National Science Foundation (NSF), the Howard Hughes Medical Institute (HHMI), the American Physical Society's PhysTEC project, and University of Colorado-Boulder, provide resources for national workshops in 2013 and 2014 allowing 80 additional math, science, and engineering faculty from a range of institutions to directly experience the LA model and to learn ways to implement, adapt, grow, and sustain a program on their own campuses. Evaluation of the project focuses on long-term effects of workshop participation and contributes to efforts to strengthen networks within the international Learning Assistant Alliance. The launching of 10 - 12 new LA programs is anticipated, and many existing programs will expand into new STEM departments as a result of the national workshops.

Workshop participants are awarded travel grants and in return, provide data each year for two years so that long-term impacts of the workshop can be evaluated. Online surveys provide data about each institution's progress in setting up a program, departments in which the program runs, number of faculty involved, number of courses transformed, numbers of teachers recruited, and estimated number of students impacted. These data provide correlations between workshop attendance and new program development, and allow the computation of national cost per impacted student as well as the average cost per STEM teacher recruited. Anonymous data are made available to International Learning Assistant Alliance partners to promote collaborative research and materials development across sites.

The 2013 and 2014 national workshops train eight faculty members who have experience running LA programs to offer regional workshops for local university and community college faculty members. This provides even greater potential for teacher recruitment and preparation through the LA model and for data collection from diverse institutions. This two-year project has potential to support 320 math, science, and engineering faculty as they transform their undergraduate courses in ways consistent with the Frameworks, in turn affording tens of thousands of undergraduate students (and hundreds of future teachers) more and better opportunities to engage with each other and with STEM content through the use of scientific and engineering practices. STEM faculty who participate in what appears to be an easy to adopt process of course transformation through the LA model, become more aware of issues in educational diversity, equity, and access leading to fundamental transformations in the way education is done in a department and at an institution, ultimately leading to sustained policy changes and shared vision of equitable, quality education.

From Undergraduate STEM Major to Enacting the NGSS

CAREER: Reciprocal Noticing: Latino/a Students and Teachers Constructing Common Resources in Mathematics

The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners.

Lead Organization(s): 
Award Number: 
1253822
Funding Period: 
Wed, 05/15/2013 - Mon, 04/30/2018
Full Description: 

The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners. Thus, the focus of the project is on developing the concept of reciprocal noticing as a way to support better interactions between teachers and Latino/a students in elementary mathematics classrooms.

The project uses a transformative teaching experiment methodology and is guided by the initial conjectures that to make mathematics classrooms intellectually attractive places, Latino/a students and teachers need to learn to develop common resources for teaching and learning mathematics, and that reciprocal noticing as a process supports teachers and students in developing these common resources for teaching and learning mathematics. The project design centers around two research questions:How do teachers and Latino/a students tune to each other's mathematical ideas and explicitly indicate to one another how their ideas are important for discourse that promotes mathematical reasoning in classrooms characterized by reciprocal noticing? What patterns emerge across four classrooms when teachers and Latino/a students engage in reciprocal noticing?

The concept of reciprocal noticing can significantly enhance emerging research in mathematics education about the importance of teacher noticing. Further, this revised concept of noticing can transform mathematics classroom to better support English Language Learners.

The PI will incorporate project findings and videos into methods courses for preservice elementary teachers.

CAREER: Reciprocal Noticing: Latino/a Students and Teachers Constructing Common Resources in Mathematics
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