Search results for "Mathematic"
showing 10 items of 24974 documents
The interplay between the guidance from the digital learning environment and the teacher in supporting folding back
2022
AbstractPrevious studies have proposed that students’ mathematical understanding develops dynamically through the process known as folding back, in which learners revisit earlier forms of understanding and use them to build even deeper levels of mathematical understanding. Digital learning environments, where students can manipulate representations, are often used to enable students to notice properties, patterns, or rules. When working in such an environment, students usually receive support from the environment and the teacher. The interplay between these different sources of support is important according to previous studies. In this study, we examine this interplay in the case of foldin…
Scaffolding through dialogic teaching in early school classrooms
2016
The present study examines what types of dialogic teaching patterns can be identified in the early school years, and how teachers scaffold children's participation and shared understanding through dialogic teaching. Thirty recorded lessons from preschool to Grade 2 in Finnish classrooms were analysed using qualitative content analysis. Two teacher-initiated and two child-initiated dialogic teaching patterns were identified. Teacher's scaffolding in teacher-initiated dialogues was characterised by high responsibility in maintaining the interactional flow and utilisation of diverse strategies. In the child-initiated dialogues, the teachers' scaffolding consisted of listening and inquiry, and …
Quality of educational dialogue and association with students’ academic performance
2018
The study used a mixed-methods approach to examine the associations between the quality of educational dialogue and students' academic performance and to analyse what kinds of dialogic teaching patterns of different levels of quality can be identified in classroom lessons. A total of 158 Grade 6 lessons were video-recorded, and the quality of the educational dialogue was assessed using the Classroom Assessment Scoring System-Secondary (CLASS-S) observational instrument. Multilevel modelling indicated that the quality of educational dialogue was positively associated with students’ academic performance (grades) in language arts and physics/chemistry. Qualitative analysis was subsequently use…
From single to multi-variable Calculus: a transition?
2018
International audience; We recently used the notion of praxeology from the Anthropological Theory of the Didactic to model the knowledge that is necessary for students to learn in order to succeed in an undergraduate multivariable Calculus course. We considered the presence and absence of elements of the knowledge to be taught, as proposed by curricular documents, in the knowledge to be learned, as indicated by final exams. Our results indicate that the mathematical activities expected of students at this level align with the activities observed in differential and integral Calculus, where exercise-driven assessments set students' work mainly in the recognition of types of tasks and recolle…
A study of transitions in an undergraduate mathematics program
2018
International audience; In this paper, we introduce an in-progress study of the transitions students face as they advance in their mathematics courses. Previous work has discussed the changes that occur in the transition from high school to university. With regards to the knowledge students are expected to learn, however, significant similarities have been noted: to do well in introductory university courses, students can learn to solve a particular subset of tasks through routinized techniques, with limited awareness of the supporting mathematical theory. In contrast, students in advanced courses are required to work with and on that theory. The first stage of our project aims to better un…
Fostering Heuristic Strategies in Mathematics Teacher Education
2018
International audience; The “double discontinuity” stated by Felix Klein 1908 is still relevant in the mathematics teacher education at German universities. We are developing a course approach, which is intended to bridge the double discontinuity in a didactic dimension. We offer additional learning opportunities for teacher students, which are characterized by clarifications of mathematical methods that are fundamental to the regular lecture contents. We focus especially on reflections on heuristic strategies, which are the core part of mathematical methods according to George Pólya. Feedback shows that students consider our approach as helpful in the transition from school to university.
Characteristics of participation - A mathematician and a mathematics educator collaborating on a developmental research project
2018
International audience; In this paper, a developmental research project involving offering mathematical modelling (MM) activities to university biology students is presented, and a particular aspect is studied, namely the project as a collaboration between mathematicians and mathematics educators. The aim of the paper is to investigate what characterizes their participation in the project, and how the characteristics of the project and its development might influence this participation. Interview data as well as observation data from the MM sessions are analysed, and findings show that the mathematics educator served as a broker influencing the practice of the mathematician. It is hoped tha…
THE CHALLENGES, RISKS AND PROSPECTS OF THE REALISATION OF THE MUSIC METHODOLOGY MODULE OF ONE – YEAR EDUCATION PROGRAMME
2021
The reform of teachers’ education commenced by the Ministry of Education and Science provides an opportunity to obtain a qualification as a teacher within one year, encompassing studies based in a working environment for those who already have higher education. The goal of the research is to identify the challenges, risks and perspectives of the realization of the module “Music methodology” of the study course “Integrated methods in Teaching Culture Understanding and Self-expression in Art” within the one-year study programme “Skolotājs”. The research compared study course plans in music teaching and choir work methodology at two Latvian higher education institutions, as well as at two fore…
Observed Classroom Quality Profiles of Kindergarten Classrooms in Finland
2012
Research Findings: The aim of the present study was to examine classroom quality profiles of kindergarten classrooms using a person-centered approach and to analyze these patterns in regard to teacher and classroom characteristics. Observations of the domains of Emotional Support, Classroom Organization, and Instructional Support were conducted in 49 Finnish kindergarten classrooms utilizing the Classroom Assessment Scoring System (R. C. Pianta, K. M. LaParo, & B. K. Hamre, 2008 ). In addition, questionnaire data on classroom and teacher characteristics, as well as Early Childhood Classroom Observation Measure (D. Stipek & P. Byler, 2004 ) observational ratings, were used in the analyses. L…
Beliefs about teaching held by student teachers and school-based teacher educators
2017
Teachers' beliefs about teaching goals and practices are influenced by several factors, including teaching and mentoring experiences. To identify which teaching goals and practices are preferred for the social and cognitive development of pupils, 112 student teachers and 73 school-based teacher educators were questioned. In contrast to teacher educators, student teachers consider the mechanical acquisition of knowledge and practices that support intrapersonal processes directed toward cognitive development to be a more effective goal, while teachers with mentoring experience prefer teaching practices that support pupils' social development. Knowledge about teaching-related beliefs is essent…