Research, Reflection, Practice: Writing to Reflect in a Mathematics Methods Course

2003 ◽  
Vol 10 (2) ◽  
pp. 112-118
Author(s):  
Alfinio Flores ◽  
Carmina Brittain

For more than a decade, several authors have highlighted the benefits to students of writing to learn mathematics. Writing is an important component of communication in the classroom. As Principles and Standards for School Mathematics (NCTM 2000) notes, “Writing in mathematics can also help students consolidate their thinking because it requires them to reflect on their work and clarify their thoughts about the ideas developed in the lesson” (p. 61). Teachers probably will not use this tool, however, unless they have had the experience themselves of writing in relation to mathematics. This article presents a brief review of the benefits of students writing to learn mathematics. In the second part of the article, we invite the reader to consider another possible use of writing: as a tool to help preservice teachers reflect on their own growth as they learn to teach mathematics. We discuss some of the benefits that writing has for prospective teachers and present examples of preservice elementary teachers' writing that were collected in several one-semester undergraduate mathematics methods courses that the first author taught. The second author participated as a student in one of the courses. In a second article to be published in this journal, we will focus on the process of writing and writing for an audience.

2004 ◽  
Vol 10 (9) ◽  
pp. 480-486
Author(s):  
Alfinio Flores ◽  
Carmina M. Brittain

During their first mathematics methods course, many prospective elementary teachers confront their previous conceptions about mathematics and its teaching for the first time. This juncture makes the course important in their evolution as teachers of mathematics. Prospective teachers in a mathematics methods course must develop the ability to reflect on their actions, beliefs, knowledge, and attitudes. Writing in a mathematics methods course fosters reflection in a natural way; it serves as a tool for documentation, analysis, and discussion to help prospective teachers internalize what they learn and reach new levels of comprehension. At the same time, what teachers in training write gives teacher educators a window into their reflection and growth process.


2019 ◽  
Vol 11 (6) ◽  
pp. 1730
Author(s):  
Dong-Joong Kim ◽  
Sung-Chul Bae ◽  
Sang-Ho Choi ◽  
Hee-Jeong Kim ◽  
Woong Lim

This study examines preservice teachers’ perspectives of creativity and character education in mathematics through a university-based teacher education program. We developed a curricular unit on creative character education in a mathematics methods course and investigated participants’ (n = 56) emerging perspectives of teaching creativity and character by the integration of content and process in mathematics. Data were collected through pre- and post-questionnaires and transcribed course discussion and presentation sessions. A quantitative analysis of the questionnaires through a t-test confirmed key changes in participants’ perspectives, while the qualitative context of data illustrates the participants’ emergent views on creative character education in mathematics. Overall, findings suggest that a mathematics teacher education curriculum integrating mathematical creativity and character education has the potential to prepare future educators to implement pedagogy that bridges between process and content in school mathematics for the next generation of learners.


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.


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.


1975 ◽  
Vol 6 (1) ◽  
pp. 51-63
Author(s):  
Karen Fuson

This study examines some effects on preservice elementary teachers of a combined mathematics and mathematics methods course that used manipulative materials as the primary means of learning. The effects investigated were changes in trainee desire to use, ability to use, and actual use of manipulative materials in teaching; changes in trainee desire or actual behavior with respect to teaching in a learner-focused manner; changes in trainee understanding of elementary mathematics; differences between learning in a concrete, physical way and learning in a symbolic, abstract way; and changes in trainee attitudes of enjoyment of and feelings of competence in teaching mathematics.


Author(s):  
Jean Morrow ◽  
Janet Holland

This chapter introduces conversation theory as a means of creating an active learning environment in an elementary mathematics methods course. It argues that such an environment, designed for undergraduate candidates in teacher education, will engage the learners in the task of developing deep conceptual understanding to support and give rationale to the procedural knowledge most of them already have. Furthermore, the authors hope that an understanding of conversation theory as applied to teaching mathematics will help instructors and instructional designers to facilitate preservice teachers’ engagement in reaching a deep conceptual understanding of the mathematics they are preparing to teach.


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