(<特集>教育現場の多様化と教育学の課題) (<Special Issue>Diversification of Research Field in Educational Studies)

Made available in DSpace on 2016-06-02T20:02:55Z (GMT). No. of bitstreams: 1 6197.pdf: 6434806 bytes, checksum: f5c5e8edeffa97a2c452205a574a0a89 (MD5) Previous issue date: 2013-07-02 / This work is the fruit of the author's research and reflection on the teaching practice in teaching mathematics 6° grade II Cycle in a public school in the city of Franca, São Paulo. Enhancing the work on classroom research methodology-Lesson Study, a Japanese methodology that encourages the resolution of problems, allowing for participatory learning. For this work the methodology needed to be adapted to the Brazilian context, as shown in Chapter 1. As the Professional master's dissertation is focused on turns to actions within the classroom to improve student learning in mathematics, develop Curriculum-based activities in the State of São Paulo that is discussed in Chapter 2 the issues involving multiplication and Division, greatest common divisor, fraction, decimal numbers and geometry. The application and analysis of activities, since its preparation, where they are taken into account the curriculum, the class profile, discussed in Chapter 3, choice of materials, dialogues during execution and closing up the reflection afterschool courses are dealt with in Chapter 4. In the Appendix of this work are applied activities as well as its planning and that can be used by other teachers in their classes. / O presente trabalho é fruto da pesquisa e reflexão do autor sobre a prática docente no ensino de Matemática do 6° ano do Ensino Fundamental Ciclo II em uma escola pública na cidade de Franca, São Paulo. Alicerçamos o trabalho na Metodologia de Pesquisa de Aula Lesson Study, uma metodologia japonesa que estimula a resolução de problemas, permitindo a aprendizagem participativa. Para esse trabalho a metodologia precisou ser adaptada ao contexto brasileiro, como é mostrado no Capítulo 1. Como a dissertação é de Mestrado Profissional cujo foco se volta para ações dentro de sala de aula que visam melhorar o aprendizado dos alunos em Matemática, elaboramos atividades baseadas no Currículo do Estado de São Paulo que está discutido no Capítulo 2 envolvendo os temas multiplicação e divisão, máximo divisor comum, fração, números decimais e geometria. A aplicação e análise das atividades, desde sua preparação, onde são levados em conta o Currículo, o perfil das turmas, discutido no Capítulo 3, escolha dos materiais, diálogos durante a execução e fechamento até a reflexão pós-aula são tratadas no Capitulo 4. No Apêndice deste trabalho se encontram as atividades aplicadas bem como o seu planejamento e que podem ser utilizadas por outros professores em suas aulas.

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Metacognition is commonly understood in the context of the learners and not their teachers. Extant literature focusing on how Mathematics teachers apply their metacognitive skills in the classroom, clearly distinguishes between teaching with metacognition (TwM) referring to teachers thinking about their own thinking and teaching for metacognition (TfM) which refers to teachers creating opportunities for learners to reflect on their thinking. However, in both of these cases, thinking requires a language, in particular appropriate mathematical language to communicate the thinking by both teacher and learners in the Mathematics classroom. In this qualitative study, which forms part of a bigger project within SANPAD (South Africa Netherlands Research Programme on Alternatives in Development), the metacognitive skills and mathematical language used by Mathematics teachers who teach at two township schools were interrogated using the design-based research approach with lesson study. Data collection instruments included individual interviews and a trigonometric assessment task. Lessons were also observed and video-taped to be viewed and discussed during focus group discussions in which the teachers, together with five Mathematics lecturers, participated. The merging of the design-based research approach with lesson study brought about teacher-lecturer collaboration, referred to in this study as the Mathematics Educators’ Reflective Inquiry (ME’RI) group, and enabled the design of a hypothetical teaching and learning trajectory (HTLT) for the teaching of trigonometric functions. A metacognitive performance profile for the two grade 10 teachers was also developed. The Framework for Analysing Mathematics Teaching for the Advancement of Metacognition (FAMTAM) from Ader (2013) and the Teacher Metacognitive Framework (TMF) from Artzt and Armour-Thomas (2002) were adjusted and merged to develop a new framework, the Metacognitive Teaching for Metacognition Framework (MTMF) to analyse the metacognitive skills used by mathematics teachers TwM as well as TfM. Without oversimplifying the magnitude of these concepts, the findings suggest a simple mathematical equation: metacognitive skills + enhanced mathematical language = conceptualization skills. The findings also suggest that both TwM and TfM are required for effective mathematics instruction. Lastly the findings suggest that the ME’RI group holds promise to enhance the use of the metacognitive skills and mathematical language of Mathematics teachers in Mathematics classrooms. / PhD (Mathematics Education), North-West University, Potchefstroom Campus, 2014

Metacognition is commonly understood in the context of the learners and not their teachers. Extant literature focusing on how Mathematics teachers apply their metacognitive skills in the classroom, clearly distinguishes between teaching with metacognition (TwM) referring to teachers thinking about their own thinking and teaching for metacognition (TfM) which refers to teachers creating opportunities for learners to reflect on their thinking. However, in both of these cases, thinking requires a language, in particular appropriate mathematical language to communicate the thinking by both teacher and learners in the Mathematics classroom. In this qualitative study, which forms part of a bigger project within SANPAD (South Africa Netherlands Research Programme on Alternatives in Development), the metacognitive skills and mathematical language used by Mathematics teachers who teach at two township schools were interrogated using the design-based research approach with lesson study. Data collection instruments included individual interviews and a trigonometric assessment task. Lessons were also observed and video-taped to be viewed and discussed during focus group discussions in which the teachers, together with five Mathematics lecturers, participated. The merging of the design-based research approach with lesson study brought about teacher-lecturer collaboration, referred to in this study as the Mathematics Educators’ Reflective Inquiry (ME’RI) group, and enabled the design of a hypothetical teaching and learning trajectory (HTLT) for the teaching of trigonometric functions. A metacognitive performance profile for the two grade 10 teachers was also developed. The Framework for Analysing Mathematics Teaching for the Advancement of Metacognition (FAMTAM) from Ader (2013) and the Teacher Metacognitive Framework (TMF) from Artzt and Armour-Thomas (2002) were adjusted and merged to develop a new framework, the Metacognitive Teaching for Metacognition Framework (MTMF) to analyse the metacognitive skills used by mathematics teachers TwM as well as TfM. Without oversimplifying the magnitude of these concepts, the findings suggest a simple mathematical equation: metacognitive skills + enhanced mathematical language = conceptualization skills. The findings also suggest that both TwM and TfM are required for effective mathematics instruction. Lastly the findings suggest that the ME’RI group holds promise to enhance the use of the metacognitive skills and mathematical language of Mathematics teachers in Mathematics classrooms. / PhD (Mathematics Education), North-West University, Potchefstroom Campus, 2014

This study investigated how lesson study, a Japanese intervention tool, may be used as a management strategy to improve performance in space, shape and orientation in Mathematical Literacy at Technical and Vocational Education and Training colleges. In this study a qualitative approach was followed in both the pilot and the main study. Prior to the main study, a small-scale pilot study was conducted which consisted of two participant lecturers and lasted for about two months culminating in one complete lesson study cycle and a second partially completed cycle. Four lecturers participated in the main study which lasted about seven months from the last week of February 2019 to the last week of August 2019 at a campus of a TVET college where Mathematical Literacy is a subject in the NCV program. Data were collected from semi-structured interviews with lecturers and students, observations of students’ performance and behaviour while delivering the research lessons, including researchers’ journals and participant lecturers’ journals, students’ work and meeting notes which included debriefing notes. The LS - Participative Management model proposed in this study has shown to achieve the broad teaching and learning outcomes, personal and professional outcomes and managerial outcomes. Hence, it is possible that the model proposed in this study is an appropriate model which can be successfully implemented at TVET colleges in South Africa. With the application of the LS Participative Management model, findings revealed from this study showed that participant lecturers improved their teaching and learning by reflecting and engaging with the content of space, shape and orientation in Mathematical Literacy by highlighting the misconceptions students have around this topic. Participant lecturers were also brought out of isolation, giving them the opportunity to collaborate with other lecturers and the manager. Collaboration and participation in lesson study also brought about organisational effectiveness which was revealed through vigorous discussions, openness, trust and respect, positive relationships and sharing ideas. Lesson study also provided an enabling environment for lecturers to become personally and professionally empowered by increased confidence and motivation as they gained more experience in lesson study. The involvement of the manager as a participant observer showed that it can impact on curriculum management, sharing experience and expertise, influence the organisational culture and provide guidance and support. / Educational Management and Leadership / D. Ed. (Educational Management)