Reviews Research auf Deutsch

1985 ◽  
Vol 16 (1) ◽  
pp. 68-70
Author(s):  
Hendrik Radatz

This book is a collection of five articles represenring research performed at the Institute for the Didactics of Mathematics at Bielefeld, Germany. It is addressed primarily to mathematics educators interested in new areas of research and in theoretical reflections on mathematicas education.

2022 ◽  
Vol 53 (1) ◽  
pp. 65-84

Many mathematics educators believe a goal of instruction is for students to obtain conviction and certainty in mathematical statements using the same types of evidence that mathematicians do. However, few empirical studies have examined how mathematicians use proofs to obtain conviction and certainty. We report on a study in which 16 advanced mathematics doctoral students were given a task-based interview in which they were presented with various sources of evidence in support of a specific mathematical claim and were asked how convinced they were that the claim was true after reviewing this evidence. In particular, we explore why our participants retained doubts about our claim after reading its proof and how they used empirical evidence to reduce those doubts.


1996 ◽  
Vol 178 (2) ◽  
pp. 15-32 ◽  
Author(s):  
Albert A. Cuoco ◽  
E. Paul Goldenberg

New technology poses challenges to mathematics educators. How should the mathematics curriculum change to best make use of this new technology? Often computers are used badly, as a sort of electronic flash card, which does not make good use of the capabilities of either the computer or the learner. However, computers can be used to help students develop mathematical habits of mind and construct mathematical ides. The mathematics curriculum must be restructured to include activities that allow students to experiment and build models to help explain mathematical ideas and concepts. Technology can be used most effectively to help students gather data, and test, modify, and reject or accept conjectures as they think about these mathematical concepts and experience mathematical research.


Author(s):  
Elena María Lendínez ◽  
Francisco Javier García ◽  
Ana María Lerma

ResumenComo docentes universitarios a cargo de la formación inicial del profesorado de Educación Infantil, observamos claros síntomas del paradigma monumentalista (visita a algunas obras tanto de Matemáticas como de Didáctica de las Matemáticas) cuando esta formación se organiza según el esquema tradicional clase de teoría/clase de prácticas. En este trabajo pretendemos identificar con nitidez el reto que supone la formación profesional funcional de futuros profesores, formular este reto como un problema de investigación dentro de la TAD, y explorar la potencialidad del dispositivo del estudio de clases como herramienta para desarrollar el equipamiento praxeológico del profesorado como respuesta a cuestiones profesionales vivas y auténticas. Se describirá el diseño de este dispositivo, para el caso de la formación inicial de profesorado de Educación Infantil sobre la enseñanza de los primeros conocimientos numéricos.Palabras-clave: Teoría Antropológica de lo Didáctico, estudio de clases, Educación infantil, Formación inicial de profesorado, Teoría de las Situaciones Didácticas.AbstractAs teacher educators involved in the initial education of prospective Early Childhood Education teachers, we observe evident signs of the monumentalistic paradigm (visiting some pre-stablished works in Mathematics as well as in Didactics of Mathematics) when the education of teachers is structured following the traditional scheme lecture-practice. In this paper, we aim at clearly identifying the challenge of a functional education of prospective teachers, formulating it as a research problem within the ATD, and exploring the potential of the lesson study device as tool to develop prospective teachers’ praxeological equipment as responses to live and authentic professional questions. We will describe de design of such device, for the case of the initial education of prospective Early Childhood Education teachers around the teaching of numbers and numbering.Keywords: Anthropological Theory of Didactics, study of classes, Early childhood education, Initial teacher training, Theory of Didactic Situations. 


2020 ◽  
Vol 24 ◽  
Author(s):  
Cinthia del Carmen Humbría Burgos ◽  
Fredy Enrique González

ABSTRACT Qualitative study on mathematical educators complementary education spaces, considering the Venezuelan School for Mathematics Teaching. Referents: Social history (Bernal); Epistemology of Science (Toulmin); Scientific Field (Bourdieu); Systemic vision of Mathematics Education in Venezuela (Beyer). Finding: EFC-EMVs are dialogic, interdisciplinary, generate knowledge about teaching-learning of mathematics, for the Venezuelan educational reality.


2012 ◽  
Author(s):  
◽  
Annaleah Pooran

The abolition of apartheid in South Africa in the late 1980s and the advent of democracy in 1994 resulted in dramatic changes in the education system. Of great significance to this study is the freedom African parents were allowed in choosing the medium of instruction to be used at schools. Surprisingly African parents encouraged their children to study through the medium of English mainly due to the education and employment opportunities English will provide them in the future (Mda, 1997). Now, seventeen years into democracy, English as a national language and the preferred medium of instruction has been blamed for poor results among ESL learners (Moreosole, 1998). Taylor, Muller and Vinjevold (2003: 54) point out that the difficulties associated with studying in a language other than one’s home language are more pronounced in mathematics, a subject which is strongly dependent on technical language proficiency. A section in the Grade 8 mathematics syllabus that is generally problematic for ESL learners is that of word problems (Wetzel, 2008). This is because ESL learners lack the language and reading skills needed to comprehend word problems, and the listening skills required to understand the educator’s explanation of the solution (Crandall, Dale, Rhodes and Spanos, 1985). To address the aims and objectives of this study, relevant literature was reviewed and various teaching strategies were examined to determine which strategies may be most effective in helping ESL learners solve word problems. Grounded within the Constructivist Learning Theory, this study was based on Vygotsky’s zone of proximal development and Bruner’s concept of scaffolding. Using a mixed methods approach, this study investigated problems that mathematics educators and ESL learners experience in the teaching and learning of word problems through the medium of English, and also identified strategies that mathematics educators use to teach word problems to ESL learners. iv Analysis of the educator questionnaire and the focus group interviews with learners revealed that ESL learners are experiencing difficulty solving word problems in English and educators are, to a large extent, adapting their teaching strategies when teaching them. The data also indicated that groupwork was considered by the majority of educators to be the most suitable method in the teaching of word problems to ESL learners, but sadly this method was used less frequently compared to whole class discussion and individual work due to discipline problems, the educators’ inability to handle group dynamics and the tendency for learners not to contribute to the group discussion. The findings also suggest that it is necessary for the educator to use a variety of teaching strategies to ensure that ESL learners enjoy success in mathematics. Based on the findings, this study makes recommendations regarding the teaching and learning of word problems and the use of adapted teaching strategies to foster active participation in lessons and group discussions, thereby increasing learner confidence and aiding in the understanding of English terminology used in mathematics word problems.


2017 ◽  
Vol 48 (1) ◽  
pp. 106-110 ◽  
Author(s):  
Amanda Jansen ◽  
Joseph DiNapoli ◽  
Kristin McKenney

Mathematics educators incorporate affective constructs into their research as they seek to understand phenomena related to teaching and learning. Some prominent findings in mathematics education research suggest that beliefs provide explanations for some perplexing behaviors. For instance, if students stop working on a challenging task after a short period of time, one explanation may be that they believe that if you understand mathematics, you can solve problems in 5 minutes or less (Schoenfeld, 1988).


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