Discuss with Your Colleagues: Equiareal Polygons: A Mathematical Conversation about a New Concept

2001 ◽  
Vol 94 (3) ◽  
pp. 211-216
Author(s):  
Greisy Winicki-Landman

This article describes an activity that is connected with mathematical definitions and that illustrates the process of gradual refinement as a way to understand and construct knowledge. It presents a gradual construction of a specific geometry concept that was the result of the interaction among the participants in a mathematical discourse (Pimm 1987). This activity took place at the end of a professional development program for teachers of secondary school geometry. During this fourteen-week program, the participants were exposed to the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and to several activities adapted from two volumes in the Addenda Series: Geometry in the Middle Grades (Geddes 1992) and Geometry from Multiple Perspectives (Coxford 1991).

1995 ◽  
Vol 88 (7) ◽  
pp. 591-597
Author(s):  
Adela Jaime ◽  
Angel Gutiérrez

Two key concepts strongly supported by the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) are (1) that geometry should be taught from multiple perspectives and (2) that it is necessary to make mathematical connections. Both concepts can be implemented by appropriately selecting topics that can be presented to students from several points of view in different environments and that can also link different branches of mathematics or mathematics and other sciences.


2020 ◽  
Vol 2 ◽  
pp. 145-158
Author(s):  
Kenta Nagasawa

Purpose: This paper is a thematic literature review to examine the current state of research about Culturally Responsive Pedagogy in mathematics. The main themes are students’ perception, teacher education for pre-service teacher and professional development for teachers. Research methods/ approach: Literature was collected from Eric, which is a research engine of the education field. Also, Google Scholar is used to find articles of major scholars introduced by Dr. Rich Milner, who is the instructor of this course. Findings: Students faced microaggressions in mathematics class, which discouraged them to learn mathematics. The effect of teacher education was inconsistent in terms of the awareness of culturally responsive pedagogy and lesson plans. Research of professional development mentioned that mathematics was cultural. Implications for research and practice: It is more interesting to conduct long term or follow-up research to find the teacher’s practice after a taking professional development program. Also, it is critical to expand research scope besides African American and Latino students. Finally, evidence-based research is needed to change the political situation. Keywords: culturally responsive teaching, mathematics, teacher education, professional development, student’s perception


2021 ◽  
pp. 025576142098622
Author(s):  
Hal Abeles ◽  
Lindsay Weiss-Tornatore ◽  
Bryan Powell

As popular music education programs become more common, it is essential to determine what kinds of professional development experiences that are designed to help teachers include popular music into their music education classrooms are effective—keeping in mind that the inclusion of popular music in K–12 classrooms requires a change not only in instrumentation and repertoire but also pedagogical approaches. This study examined the effects of a popular music professional development initiative on more than 600 New York City urban music teachers’ musicianship, their pedagogy, and their leadership skills throughout one school year. Results revealed increases in all three areas, most notably in teachers’ musicianship. The study also showed an increase in teachers’ positive perceptions about their music programs, specifically, their level of excitement about the state of their music program and that their music program was more effective at meeting their students’ needs than it had been previously.


2021 ◽  
Vol 13 (15) ◽  
pp. 8610
Author(s):  
Chung Kwan Lo ◽  
Gaowei Chen

The professional development of experienced teachers has received considerably less attention than that of novice teachers. This study focuses on four experienced secondary mathematics teachers in Shanghai, China, with two participating in a year-long professional development program (treatment teachers) and the other two received conventional knowledge-based professional development (comparison teachers). The program introduced productive classroom talk skills which can facilitate teachers’ formative assessment of student learning during class. To encourage teachers to reflect on their classroom discourse when reviewing recordings of their teaching, we used visual learning analytics with the treatment teachers and theorized the use of this technology with activity theory. After completing the program, the treatment teachers were better able to use productive talk moves to elicit student responses and to provide timely formative feedback accordingly. Specifically, the percentage of word contributions in lessons from students and the length of their responses increased noticeably. Qualitative findings suggest that the use of visual learning analytics mediated the treatment teachers and improved classroom discourse. Based on these findings and activity theory, we provide recommendations for future use of visual learning analytics to improve teachers’ classroom talk and designing professional development activities for experienced teachers.


SAGE Open ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 215824402110269
Author(s):  
Guangbao Fang ◽  
Philip Wing Keung Chan ◽  
Penelope Kalogeropoulos

Using data from the Teaching and Learning International Survey (TALIS; 2013), this article explores teachers’ needs, support, and barriers in their professional development. The research finds that Australian teachers expressed greater needs in information and communication technology (ICT) use and new technology training for teaching, while Shanghai teachers required more assistance to satisfy students’ individual learning and pedagogical competencies. More than 80% of Australian and Shanghai teachers received scheduled time to support their participation in professional development, whereas less than 20% of Australian and Shanghai teachers received monetary or nonmonetary support. In terms of barriers, Australian and Shanghai teachers reported two significant barriers that conflicted with their participation in professional development: “working schedule” and “a lack of incentives to take part.” This article reveals implications of the study in the design of an effective professional development program for Australian and Shanghai teachers and ends with discussing the limitations of the research and future research directions.


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