Classroom practice and craft knowledge in teaching mathematics using Desmos: challenges and strategies

Author(s):  
Sean Chorney
1998 ◽  
Vol 91 (2) ◽  
pp. 156-161
Author(s):  
Glendon W. Blume ◽  
Judith S. Zawojewski ◽  
Edward A. Silver ◽  
Patricia Ann Kenney

Worthwhile mathematical tasks engage the problem solver in sound and significant mathematics, elicit a variety of solution methods, and require mathematical reasoning. Such problems also prompt responses that are rich enough to reveal mathematical understandings. Just as good classroom practice engages students in worthwhile mathematical tasks, sound professional development does the same with teachers. Providing teachers with opportunities to engage in worthwhile mathematical tasks and to analyze the mathematical ideas underlying those tasks promotes the vision of the Professional Standards for Teaching Mathematics (NCTM 1991).


2017 ◽  
Vol 87 (2) ◽  
pp. 225-250 ◽  
Author(s):  
Amanda Jansen ◽  
Dawn Berk ◽  
Erin Meikle

In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher teaching two lessons: one on a mathematics topic that was developed in their teacher education program (target topic) and one on a mathematics topic that was not addressed in their program (control topic). Based on their observations, the authors identified four instructional practices for teaching mathematics conceptually that the participants used in their classroom practice and found that these teachers were more likely to enact two of these instructional practices when teaching target topics: use of mathematical language to support students' sense making and use of visual representations. They also found that the teachers enacted two other instructional practices—use of story problems and pressing students for mathematical explanations—in both target and control topic lessons but did so with limitations in control topic lessons. For teacher education to influence teaching, the authors assert, it is important to develop content knowledge for teaching and pedagogical knowledge in tandem with developing beliefs.


2017 ◽  
Vol 9 (1-2) ◽  
Author(s):  
Sabariah Baharun ◽  
Yudariah Mohammad Yusof ◽  
Roselainy Abdul Rahman ◽  
Zaleha Ismail

Through our experience in teaching mathematics to engineering undergraduates, we found that students had numerous difficulties with the mathematics learned. Although our students have demonstrated the ability to answer standard or routine questions, there were still some inconsistencies between their ability to answer questions and their understanding of the concepts and the mathematical procedures they were using. In previous work, we had highlighted the importance of mathematical thinking and adopted suitable approaches in teaching and learning of engineering mathematics. However, innovative strategies were deemed necessary to assist students in their learning. In this paper, we will share how we transform our teaching practice to facilitate the development of students’ ability in understanding the various mathematical concepts, in reconstructing them as parts of a whole through cooperative learning. The approach allows them to develop efficient strategies in constructing new knowledge and be empowered with more successful ways of thinking about mathematics and solving problems. Here, we will share our experience in translating some of the theories into classroom practice through informal cooperative learning environment. Data were gathered through our own reflections, classroom observation, and interviews with the students. We will bring to light the findings on the students’ ability to solve problems related to the topics learned and discuss the implications for effective mathematics teaching and learning of prospective engineers.  


1993 ◽  
Vol 86 (5) ◽  
pp. 400-403
Author(s):  
Constance Curley Feldt ◽  
Margaret A. Farrell

In this, the final article in this department for the 1992-1993 academic year, the author addresses the standard Developing as a Teacher of Mathematics (NCTM 1991, 160-66). Teacher conceptions and teacher reftections have been alluded to by each of the previous three authors. In this article, the author places the spotlight directly on teacher reftection and its relation to classroom practice. Teachers who are looking for ways to reexamine their own teaching will find practical suggestions and the theoretical and research rationale on which these ideas are based.


Author(s):  
Teresa Cremin ◽  
Debra Myhill

In the field of writing in education two strong, even common-sense, views exist, drawing largely on everyday logic rather than evidenced justification: first, that to teach writing effectively teachers must be writers themselves and second, that professional writers, those who are writers themselves, have a valuable role to play in supporting young writers. But rarely have these views been brought together to explore what teachers can learn about being a writer from those who are writers. Nor are these perspectives unquestioned. The positioning of teachers as writers within and beyond the classroom has been the subject of intense academic and practitioner debate for decades. For years professional writers have visited schools to talk about their work and have run workshops and led residencies. However relatively few peer-reviewed studies exist into the value of their engagement in education, and those that do, in a manner similar to the studies examining teachers as writers, tend to rely upon self-reports without observational evidence to triangulate the perspectives offered. Furthermore, the evidence base with regard to the impact on student outcomes of teachers’ positioning themselves as writers in the classroom is scant. Nor is there a body of evidence documenting the impact of professional writers on student outcomes.Historically, these two foci - teachers as writers and professional writers in education - have been researched separately; in this article we draw them together. Predominantly professional writers in education work directly with students as visiting artists, and have been positioned and positioned themselves as offering enrichment opportunities to students. They have not therefore been able to make a sustained impact on the teaching of writing. Moreover, while writers’ published texts are read, studied, and analyzed in school (as examples for young people to emulate), their compositional processes receive little attention, and the craft knowledge on which writers draw is rarely foregrounded. In addition, writing is often viewed as the most marginalized creative art, in part due to its inclusion within English, which itself has been sidelined in the arts debate. Notwithstanding these challenges, research and development studies have begun to create new opportunities for collaboration, with teachers and professional writers sharing their expertise as pedagogues and as writers in order to support students’ development as creative writers. In such work the challenges, constraints, and consequences of students and teachers identifying themselves as writers in school has been evidenced. In addition, research has sought to document the practices of professional writers, analyzing for example their reading histories, composing practices, and craft knowledge in order to feedforward new insights into classroom practice. It is thus gradually becoming recognized that professional writers’ knowledge and understanding of the art and craft of writing deserves increased practitioner attention for their educative possibilities; they have the potential to support teachers’ understanding of being a writer and of how they teach writing. This in turn may impact upon students’ own identities as writers, their understanding of what it means to be a writer, and their attitudes to and outcomes in writing.


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