The Back Page: Teaching the Pythagorean Theorem for Understanding

2009 ◽  
Vol 103 (2) ◽  
pp. 160
Author(s):  
Blake E. Peterson

One of my favorite lessons was developed not by me but by a group of student teachers. While conducting research on student teaching in mathematics classes at a Japanese junior high school, I observed a group of seven Japanese student teachers participate in a lesson study to develop a lesson on the Pythagorean theorem. The goal of the lesson was for the students to understand the meaning of the theorem. The student teachers looked in many textbooks, studied the different proofs of the theorem, and consulted their cooperating teachers.

2006 ◽  
Vol 100 (3) ◽  
pp. 206-212
Author(s):  
Blake E. Peterson

n the fall of 2003, I had the opportunity to conduct some research on the student teaching process in Japan. During my seven weeks of research at the junior high school affiliated with Ehime University in Matsuyama, Japan, I observed mathematics lessons taught by student teachers as well as many more lessons taught by experienced teachers. The basis for most of these lessons was wonderfully rich mathematics problems. In these lessons a problem was posed to students, time was given for them to explore it, and then a discussion of the solutions to the problem took place. A detailed description of similar problem-based lessons can be found in The Teaching Gap (Stigler and Hiebert 1999) and The Open-Ended Approach: A New Proposal for Teaching Mathematics (Becker and Shimada 1997).


2006 ◽  
Vol 12 (4) ◽  
pp. 214-220
Author(s):  
Blake E. Peterson

In fall 2003, I had the opportunity to conduct some research on the student-teaching process in Japan. During my seven weeks of research at the junior high school affiliated with Ehime University in Matsuyama, Japan, I observed mathematics lessons taught by student teachers as well as many more lessons taught by experienced teachers. The basis for most of these lessons was wonderfully rich mathematics problems. In these lessons, a problem was posed to the students, time was given for them to explore the problem, and then solutions were discussed. Similar problem-based lessons can be found in The Teaching Gap (Stigler and Hiebert 1999) and The Open-Ended Approach: A New Proposal for Teaching Mathematics (Becker and Shimada 1997).


2018 ◽  
Vol 28 (1) ◽  
pp. 24-39 ◽  
Author(s):  
C. Michael Palmer

The purpose of this qualitative study was to examine the perceptions of four cooperating teachers concerning their role in the music student teaching experience. Participants included an elementary music educator, middle school band director, high school band director, and a high school choir director. Research questions were (a) What are the personal and professional motivations for hosting a student teacher? (b) How do cooperating teachers describe relationships with student teachers? and (c) What strategies do cooperating teachers use in mentoring student teachers? Data collected included two interviews with each participant and a focus group interview. Participants expressed a desire to help the next generation of music teachers and an eagerness to learn new teaching strategies from interns and collaborate with them in a co-teaching model. Relationships were built around student teachers’ skill sets, personality, and work ethic. Mentoring strategies included modeling, facilitating learning opportunities, and regular discussion and reflection activities.


2021 ◽  
Vol 6 (2) ◽  
pp. 334-353
Author(s):  
Titin Nurhayatin ◽  
Adi Rustandi ◽  
Eggie Nugraha ◽  
Anne Kusmini

  This research is motivated by learning conditions that are still not optimal, both process and learning outcomes. Therefore, we conducted a research to apply lesson study by using the Cooperative Learning method in Indonesian Language, in writing advertisement, slogans, and posters texts in class VIII of Pasundan 2 Junior High School Bandung. This research is expected to improve learning outcomes, activities and creativities. The research method used is an experimental method. The research subjects were students of Pasundan 2 Bandung Junior High School Class VIII C. This research was an implementation of plan, do and see. The validity of the data is done through triangulation techniques. Based on the results of the study it can be concluded that the application of lesson study using the Cooperative Learning method is carried out in accordance with the stages in the lesson study, namely plan, do and see. Lesson study makes the learning planning process more mature so that in the implementation of learning the model lecturer feels more prepared. Lesson Study can effectively improve the quality of learning, both processes and results. This can be seen from the test results which are tested on the average significant improvement. Likewise in the process, based on the observations made, the activity and creativity of students of Pasundan 2 Junior High School Bandung increased. Thus, it can be concluded that the implementation of lesson study with cooperative learning effectively increases the activity, creativity, and learning outcomes of students in Pasundan 2 Junior High School Bandung significantly.


2020 ◽  
Vol 3 (01) ◽  
pp. 42-50
Author(s):  
Ke Yan ◽  
Hui Deng ◽  
Zhouli Huang

The intersection of two lines was studied in grade 7, junior high school. This geometry material is very important, as the basic 3 dimensions that students will learn at the high school level. Exploring and persuading the two properties of vertical lines is the most difficult thing in teaching. Traditional teaching uses methods such as observation, drawing, measurement, and comparison to derive the properties of vertical lines, and expresses the properties of vertical lines in finer words, which easily create greater difficulty for students to understand. This research uses research and development methods, tries to use mathematical software to teach lines and angles and optimizes the basic concept of lines and angles. The results of this study provide specific references to the graphs and geometry of junior high school mathematics.


2020 ◽  
Vol 1 (1) ◽  
pp. 9-18
Author(s):  
Rahmi Rahmi ◽  
Rina Febriana ◽  
Hilmy Farras Wani

The learning independence of students is still low as the background of the implementation of this research. The purpose of this research is to describe the independence of students using Lesson study and Problem Based Learning models in mathematics learning. This type of research is descriptive research. The population is all students of class VIII of Junior High School Pertiwi 2 Padang in 2019/2020. Sampling was done by purposive sampling and determined class VIII-2. The research instruments were the learning independence questionnaire and the Lesson Study observation sheet. Analysis of learning independence data is described based on the results of the pretest and protest scores. The Lesson Study was carried out in 4 rounds using the Problem Based Learning model which included Plan, do, and See activities. The results showed that there was an increase in students' learning independence through the implementation of Lesson study with the Problem Based Learning model.


1955 ◽  
Vol 48 (5) ◽  
pp. 331
Author(s):  
Clarence Olander

The Pythagorean relationship is one of the most widely used of all mathematical formulas. Accordingly, junior high school classes in algebra and general mathematics usually include some work involving simple applications of this important relation.


2005 ◽  
Author(s):  
◽  
Tracy (Tracy Jonathan) Kitchel

Pairing of student teachers with cooperating teachers has not been studied intently in agricultural education. With student teaching being an important aspect to teacher preparation, it should be a research priority. The purpose of the study was to determine if personality type could predict aspects of interaction between cooperating teachers of agricultural education in two Midwestern states and their student teachers. Student teachers and cooperating teachers in agricultural education for the 2003-2004 school year, from the University of Missouri-Columbia and University of Illinois at Urbana-Champaign, participated in the study.The study was descriptive-correlational, quantitative research. To measure personality type, the Myers-Briggs Type Indicator was used. To measure interaction aspects, the Mentoring Relationship Questionnaire (Greiman, 2003) was used. Findings suggest that, according to both cooperating teachers and student teachers, that student teachers were receiving psychosocial assistance from cooperating teachers. In addition, according to both student teachers and cooperating teachers, student teachers did not need much, nor did they receive much support related to roles and responsibilities of an agriculture teacher. Although the study found strength in relationships between overall perceived similarity and interaction satisfaction, personality type was found to have little influence on the variables.


Author(s):  
Gloria Vélez Rendón

The contradictory realities of student teaching viewed through the student teachers’ eyes have been the focus of attention of some recent publications (Britzman, 1991; Knowles and Cole, 1994; Carel, S.; Stuckey, A.; Spalding, A.;Parish, D.; Vidaurri, L; Dahlstrom, K.; and  Rand, Ch., 1996; Weber  Mitchell, 1996). Student teachers are “marginally situated in two worlds” they are to educate others while being educated themselves (Britzman, 1991, p. 13). Playing the two roles simultaneously is highly difficult. The contradictions, dilemmas, and tensions inherent in such endeavor make the world of the student teacher increasingly problematic. This is further complicated by the power relationships that often permeate the student teacher cooperating teacher relationship. This paper describes salient aspects of the student teaching journey of Sue, a white twenty-two year old student teacher of Spanish. It uncovers the tensions and dilemmas experienced by the participant in her quest for professional identity. Data collection sources for this study included (a) two open-ended interviews, each lasting approximately forty-five minutes; (b) one school-day long observation; and (c) a copy of the communication journal between the participant and her cooperating teacher. The data revealed that soon upon entering the student teaching field experience, Sue found herself torn by the ambiguous role in which student teachers are positioned: she was neither a full-fledged teacher nor a student. In trying to negotiate a teaching role for herself, Sue was pulled in different directions. She soon became aware of the powerful position of the cooperating teacher and of her vulnerability within the mentoring relationship. The main tension was manifested in Sue’s struggle to develop her own teaching persona on the one hand, and the pressure to conform to her cooperating teachers’ expectations on the other hand. The implications of the study are discussed.


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