The examination of a vignette activity sequence in a secondary mathematics methods course

2021 ◽  
Vol 121 (1) ◽  
pp. 2-12
Author(s):  
Ryann N. Shelton ◽  
Keith Kerschen ◽  
Trena L. Wilkerson
Author(s):  
Anna Wan ◽  
Jessica Ivy

Technology has the potential to transform the classroom, build access to new mathematical content, and provide access to students through unique representations. For this study, the authors considered the transformational promise of digital fabrication technology, specifically 3D printing, in a setting comprised of pre-service teachers. An introduction to digital fabrication session was implemented in a secondary mathematics methods course. Participants were assessed both prior to the experience and after, using an adapted TPACK developmental self-report survey to consider TPACK themes and subthemes. In this chapter, the authors describe ideas that emerged from narratives provided by participants, patterns of change noted from pre- to post-assessment, and three cases that emerged representing students who experienced the most positive changes, most negative changes, and least amount of change on self-perceived levels.


2020 ◽  
pp. 002248712096593
Author(s):  
Fran Arbaugh ◽  
Duane Graysay ◽  
Ben Freeburn ◽  
Nursen Konuk

The purpose of this study was to investigate changes in a cohort of secondary preservice teachers’ (PSTs) vision of the role of a teacher within the context of a mathematics methods course designed around pedagogies of practice. We analyzed data collected in the first and last 2 weeks of the course, consisting of recordings of small- and whole-group discussions, PSTs’ written work, and individual interviews. We first coded using Munter’s Role of Teacher rubric and identified significant differences between beginning-of-semester data and end-of-semester data. We then conducted three rounds of constant comparative analysis resulting in four themes that describe the changes in visions of role of teacher. Findings indicate that engaging in pedagogies of practice in preservice education has the potential to influence PSTs’ visions of their role as mathematics teachers. This study extends both the literatures on pedagogies of practice and on teachers’ instructional vision.


Author(s):  
Drew Polly

This chapter presents the theoretical background and overview of the design of an asynchronous online mathematics pedagogy course taken by graduate students who are seeking their initial teacher certification. The authors provide the theoretical underpinnings for the design of the course, and then using design-based research, describe the refinement of the course over three iterations of designing and implementing the course. Lastly, implications for the design and delivery of asynchronous online courses are discussed.


Author(s):  
Christopher J. Johnston

This paper reports the evaluation of a hybrid mathematics methods course for novice teachers. During a fifteen-week semester, participants met face-to-face for approximately 60% of the semester and took advantage of an online format for the other 40% of the semester. Online activities included asynchronous discussion board postings, synchronous chats as an entire class, synchronous chats in small groups, evaluation of technology tools, and electronic surveys. The researcher used participants' feedback to evaluate the effectiveness of this hybrid format. In addition, the researcher reflected upon his own experiences as instructor to inform future course structure decisions. Within the context of the Rich Environments for Active Learning (REAL) framework, results suggest that cooperative support was a key component of the effectiveness of the experience. Further, participants emphasized one particular generative learning activity as an effective component of this course. Finally, this paper discusses implications for mathematics professional development facilitators.


Author(s):  
Rachael Eriksen Brown

This chapter describes a model of integrating an elementary mathematics methods course with an afterschool club in order to support pre-service teachers' development of a teaching practice. The goal of the model was to help pre-service teachers integrate theory and practice as well as begin to notice particular elements of a classroom and lesson. Details of the model, the course, and how the partnership with the elementary school was formed are shared. In addition, results from analyzing pre-service teachers' journal responses indicate most teachers focused on classroom management initially; however, writing shifted to focus on students' mathematical ideas and the purpose of play. Learnings with respect to teacher education as well as ideas for future research are discussed.


1970 ◽  
Vol 17 (1) ◽  
pp. 75-78
Author(s):  
David M. Clarkson

The Report of the Cambridge Conference on the Correlation of Science and Mathematics in the Schools recommends that schools of education plan programs of “apprentice teaching in the schools, including work with materials of the sort being developed in new curriculum projects.”1 A group of mathematics educators in England has urged the use of courses emphasizing problem solving: “It is the exploration of these more open problems which we feel to be the essential characteristic of real mathematical activity.”2 A loud chorus of opinion suggests that courses in methodology should be jointly planned and executed by both mathematicians and educators and that they should involve practical work with children. When the opportunity to design an experimental elementary mathematics methods course was offered the writer, he decided to emphasize the mathematics laboratory approach which gives an important role to problem solving. Conferences with members of the mathematics and education departments, as well as with school officials, paved the way for the experiment; the sympathetic support of the chairman of the division of education at the college made it possible financially.


1978 ◽  
Vol 25 (8) ◽  
pp. 35-38
Author(s):  
Werner Liedtke ◽  
James Vance

The simulation of various classroom settings in which problem-solving activities occur is one aspect of the mathematics methods course for elementary teachers at the University of Victoria. By participating in these sessions, the students are made aware of some of the possible instructional settings that they might use as teachers and the important role that problem solving plays in the curriculum. Some of these settings and problems are described here and some results of the students' involvement in the program are illustrated.


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