Promoting rich discussions in mathematics classrooms: Using personalized, automated feedback to support reflection and instructional change

2022 ◽  
Vol 112 ◽  
pp. 103631
Author(s):  
Jennifer Jacobs ◽  
Karla Scornavacco ◽  
Charis Harty ◽  
Abhijit Suresh ◽  
Vivian Lai ◽  
...  
2007 ◽  
Vol 99 (2) ◽  
pp. 380-396 ◽  
Author(s):  
Meg Schleppenbach ◽  
Michelle Perry ◽  
Kevin F. Miller ◽  
Linda Sims ◽  
Ge Fang

2007 ◽  
Author(s):  
Megan L. Franke ◽  
Noreen M. Webb ◽  
Angela Chan ◽  
Dan Battey ◽  
Marsha Ing ◽  
...  

2020 ◽  
Vol 5 (1) ◽  
pp. 1-15
Author(s):  
Robert Weinhandl ◽  
Zsolt Lavicza ◽  
Stefanie Schallert

Challenges for students in the 21st century, such as acquiring technology, problem-solving and cooperation skills, also necessitates changes in mathematics education to be able to respond to changing educational needs. One way to respond to these challenges is utilising recent educational innovations in schools, for instance, among others are flipped learning (FL) approaches. In this paper, we outline our explorative educational experiment that aims to investigate key elements of mathematics learning in FL approaches in upper secondary education. We describe the methodologies and findings of our qualitative study based on design-based research to discover key elements of FL approaches in upper secondary education. Analysing the data collected over ten months suggested categories (a) confidence when learning; (b) learning by working; and (c) flexibility when learning could be essential to understand FL approaches practices in mathematics classrooms.


2016 ◽  
Author(s):  
Jill Burstein ◽  
Beata Beigman Klebanov ◽  
Norbert Elliot ◽  
Hillary Molloy

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Amy Cassata ◽  
Elaine Allensworth

Abstract Background The Common Core Standards for Mathematics and Next Generation Science Standards were adopted by states with the goal of preparing students with knowledge and skills needed for college, careers, and citizenry. Adopting these standards necessitated considerable changes in instructional practice. While teacher leadership is known to be important for instructional change, there is little research that articulates the processes through which that influence occurs, and how contextual factors constrain or support those processes. This paper provides a case study of efforts in the Chicago Public Schools to promote widespread instructional change around standards reform through a teacher leader model using retrospective from 2013 to 2017 interviews with 16 math and science teacher leaders serving grades 6–12, along with quantitative analysis of district-wide data showing patterns of change and professional learning. It builds off prior research to articulate a framework of how teacher leaders promote instructional change. Findings There were five patterns of teacher leader action: inspiring others, sharing with colleagues, working in collaboration, advocating for change, and providing individual support, and an interplay between teacher actions and school-level contextual factors, with some contextual factors more important than others for different types of actions. In particular, sharing and collaborative work were facilitated in schools with designated collaboration time, trusting relationships, and colleagues who were also trained and knowledgeable about the new standards. The degree of collective efficacy the teacher leaders felt seemed to be driven mostly by the presence of other knowledgeable change agents in the school. Conclusions and implications The study adds to the existing literature on teacher leadership by articulating the mechanisms through which teachers exert influence around instructional improvement of their school peers and providing examples of each. Further, the study illustrates how these mechanisms are facilitated or constrained by the larger school context. Together, the articulation of mechanisms and contexts, along with illustrative examples, provides a guide for supporting instructional change through teacher leadership in schools and districts.


Author(s):  
Pierpaolo Vittorini ◽  
Stefano Menini ◽  
Sara Tonelli

AbstractMassive open online courses (MOOCs) provide hundreds of students with teaching materials, assessment tools, and collaborative instruments. The assessment activity, in particular, is demanding in terms of both time and effort; thus, the use of artificial intelligence can be useful to address and reduce the time and effort required. This paper reports on a system and related experiments finalised to improve both the performance and quality of formative and summative assessments in specific data science courses. The system is developed to automatically grade assignments composed of R commands commented with short sentences written in natural language. In our opinion, the use of the system can (i) shorten the correction times and reduce the possibility of errors and (ii) support the students while solving the exercises assigned during the course through automated feedback. To investigate these aims, an ad-hoc experiment was conducted in three courses containing the specific topic of statistical analysis of health data. Our evaluation demonstrated that automated grading has an acceptable correlation with human grading. Furthermore, the students who used the tool did not report usability issues, and those that used it for more than half of the exercises obtained (on average) higher grades in the exam. Finally, the use of the system reduced the correction time and assisted the professor in identifying correction errors.


ZDM ◽  
2021 ◽  
Author(s):  
Sebastian Rezat

AbstractOne of the most prevalent features of digital mathematics textbooks, compared to traditional ones, is the provision of automated feedback on students’ solutions. Since feedback is regarded as an important factor that influences learning, this is often seen as an affordance of digital mathematics textbooks. While there is a large body of mainly quantitative research on the effectiveness of feedback in general, very little is known about how feedback actually affects students’ individual content specific learning processes and conceptual development. A theoretical framework based on Rabardel’s theory of the instrument and Vergnaud’s theory of conceptual fields is developed to study qualitatively how feedback actually functions in the learning process. This framework was applied in a case study of two elementary school students’ learning processes when working on a probability task from a German 3rd grade digital textbook. The analysis allowed detailed reconstruction of how students made sense of the information provided by the feedback and adjusted their behavior accordingly. This in-depth analysis unveiled that feedback does not necessarily foster conceptual development in the desired way, and a correct solution does not always coincide with conceptual understanding. The results point to some obstacles that students face when working individually on tasks from digital mathematics textbooks with automated feedback, and indicate that feedback needs to be developed in design-based research cycles in order to yield the desired effects.


Author(s):  
Jessica M. Gonzalez-Vargas ◽  
Dailen C. Brown ◽  
Jason Z. Moore ◽  
David C. Han ◽  
Elizabeth H. Sinz ◽  
...  

The Dynamic Haptic Robotic Trainer (DHRT) was developed to minimize the up to 39% of adverse effects experienced by patients during Central Venous Catheterization (CVC) by standardizing CVC training, and provide automated assessments of performance. Specifically, this system was developed to replace manikin trainers that only simulate one patient anatomy and require a trained preceptor to evaluate the trainees’ performance. While the DHRT system provides automated feedback, the utility of this system with real-world scenarios and expertise has yet to be thoroughly investigated. Thus, the current study was developed to determine the validity of the current objective assessment metrics incorporated in the DHRT system through expert interviews. The main findings from this study are that experts do agree on perceptions of patient case difficulty, and that characterizations of patient case difficulty is based on anatomical characteristics, multiple needle insertions, and prior catheterization.


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