Search results for " math"
showing 10 items of 11183 documents
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…
"Writing to Learn or Learning to Write". A Critical Review of "English as a Foreign Language" (EFL) Teaching Practices in Writing in Saudi Universiti…
2020
Developing proficiency in English writing has always been a challenge for L2 learners in general and Saudi learners in particular. Despite the widespread presence of English departments as a result of the sharp rise of Saudi universities in the previous decade, the numbers of outcomes or achievements in terms of skills are very discouraging. This paper aims to study this issue closely by investigating the most crucial elements that are likely to explain this weakness by reviewing the related empirical and theoretical studies in the Saudi context. This paper also aims to present to researchers a quick reference as to how English writing skills have evolved in Saudi Arabia in the recent past,…
Exploring responsive mathematics teaching
2018
Responsive mathematics teaching places students’ ideas and scientific thinking in a central position. It is based upon the expectation that students have resourceful scientific thinking. The responsive teacher advances the acquisition of mathematical knowledge by pursuing the substance of students’ ideas and fostering the practices of the mathematical community. This study focuses on illustrating the responsive mathematics teaching accounts of a second graders teacher. To fulfil this aim, the teaching structure of one teacher has been thoroughly scrutinized and presented in detail. The data, collected through a semi structured interview, classroom observation and field notes, has been analy…
Programming in mathematics teacher education – a collaborative teaching approach
2018
International audience
A Completeness Proof for a Regular Predicate Logic with Undefined Truth Value
2023
We provide a sound and complete proof system for an extension of Kleene's ternary logic to predicates. The concept of theory is extended with, for each function symbol, a formula that specifies when the function is defined. The notion of "is defined" is extended to terms and formulas via a straightforward recursive algorithm. The "is defined" formulas are constructed so that they themselves are always defined. The completeness proof relies on the Henkin construction. For each formula, precisely one of the formula, its negation, and the negation of its "is defined" formula is true on the constructed model. Many other ternary logics in the literature can be reduced to ours. Partial functions …
La transición de Educación Primaria a Educación Secundaria Obligatoria: sentido y significado del uso de recursos y espacios digitales
2019
espanolEl cambio de la Educacion Primaria a la Educacion Secundaria Obligatoria supone el trasvase de informacion y la colaboracion entre centros para realizar acciones conjuntas que faciliten el proceso de transicion y aprovechen el potencial de aprendizaje que ofrece el cambio. Las Tecnologias de la Informacion y la Comunicacion tienen un papel destacado en este proceso de cambio, ya que suponen un medio que facilita la comunicacion e intervencion entre centros, entre familias y entre estudiantes. El proposito fundamental es analizar el grado en que estas son consideradas como beneficiosas en el proceso de gestion del transito de la Primaria a la Secundaria respecto a las tareas de trasva…
Annales Fennici Mathematici : tieteellisen lehden uudistamistyö
2022
Tutkimuspalaverissa yhdysvaltalaisten kollegojen kanssa jälleen käydään keskustelua julkaisupaikasta artikkelillemme. Joku kysäisee pian ”What about the Finnish Annals?”, johon vastataan yleisesti positiivisin ja myöntyvin myhäilyin. Kansainvälisesti lehti muistetaankin monilla lempinimillä osittain johtuen sen alkuperäisestä pitkästä nimestä ”Annales Academiæ Scientiarum Fennicæ Series A. I. Mathematica”. Toisaalta vaikkei lehti aivan samalla tasolla olekaan kuin Princetonissa julkaistu johtava lehti Annals of Mathematics, niin on sitä myös pitkään arvostettu erityisesti suomalaisen tutkimuksen vahvuusalueella, analyysissä. nonPeerReviewed
Radical Besinnung in Formale und transzendentale Logik (1929)
2018
This paper explicates Husserl’s usage of what he calls “radical Besinnung” in Formale und transzendentale Logik (1929). Husserl introduces radical Besinnung as his method in the introduction to FTL. Radical Besinnung aims at criticizing the practice of formal sciences by means of transcendental phenomenological clarification of its aims and presuppositions. By showing how Husserl applies this method to the history of formal sciences down to mathematicians’ work in his time, the paper explains in detail the relationship between historical critical Besinnung and transcendental phenomenology. Ultimately the paper suggests that radical Besinnung should be viewed as a general methodological fram…
Time-like Proton Form Factors with Initial State Radiation Technique
2022
Electromagnetic form factors are fundamental quantities describing the internal structure of hadrons. They can be measured with scattering processes in the space-like region and annihilation processes in the time-like region. The two regions are connected by crossing symmetry. The measurements of the proton electromagnetic form factors in the time-like region using the initial state radiation technique are reviewed. Recent experimental studies have shown that initial state radiation processes at high luminosity electron-positron colliders can be effectively used to probe the electromagnetic structure of hadrons. The BABAR experiment at the B-factory PEP-II in Stanford and the BESIII experim…