scholarly journals On the Hermeneutics of Reading Historical Texts in the Mathematics Classroom

REMATEC ◽  
2021 ◽  
Vol 16 ◽  
pp. 232-244
Author(s):  
John A. Fossa

A hermeneutical substructure for the reading of historical texts in the mathematics classroom is described. It is organized according to the four transcendentals of unity, truth, beauty and goodness, each of which is considered internally –with respect to the text itself – and externally – with respect to both its relations to mathematical thought in general and other cultural manifestations. Lead questions are provided for each category as are also details regarding various ways in which the student’s interactions with the text can be organized in order to provide the student with a rich learning experience. Some attention is also given to questions relating to implementation.

2021 ◽  
Author(s):  
William Deng Tap

This chapter expresses the views of a teacher-researcher who advocates and argues for the use of humor in the classroom setting, especially in the mathematics classroom. While existing research based literature has shown the use of humor to be promising and encouraging effecting teaching and learning tool, very little instructional humor or classroom humor–an appropriate type of humor often related to the content materials being discussed–has been used in the classroom setting–especially in the mathematics classrooms. The chapter explores, surveys and highlights ways in which the existing-related literature about the effective and appropriate use of humor in the classroom setting can be implemented in practice, especially in the teaching and learning of mathematics, in this challenging era of the increasingly rapid technological advancements referred to as 21th century technological revolution or the re-engineering of industrial education 5.0 relative to STEM subjects study areas. The use of humor as teaching and learning tool in the classroom setting has been shown to have so many associated benefits ranging from but not limited to a conducive-relaxed learning environment, enhanced students’ learning experience, motivating and inspiring the students to learn more and even the improvement of student-teacher classroom rapport, just to mention a few. Hence, the literature recommends that classroom teachers should make more use of humor as an effective teaching and learning tool, especially the contextualized-appropriate humor types that are related to the content materials being discussed.


PARADIGMA ◽  
2020 ◽  
pp. 116-132
Author(s):  
John A. Fossa

Después de aclarar algunas ambigüedades terminológicas, aquí hay dos argumentos relacionados con la lectura de textos históricos en el aula. El primer argumento parte de la premisa de que las matemáticas son una parte importante de la cultura general de la humanidad en el sentido de que impregna casi cualquier otra parte de esa cultura. Sin embargo, uno de los principales objetivos de la educación es la apropiación de esa cultura para que el estudiante pueda lograr una vida rica y satisfactoria. Como resultado, el estudiante debe tener contactos directos e intensos con textos históricos que son grandes expresiones de esta cultura. El segundo argumento parte de una caracterización del conocimiento como una relación dialéctica tripartita entre el individuo, el otro y el mundo. Por lo tanto, enfrentamos el conocimiento como una actividad constructiva realizada por el individuo, pero desarrollada dentro de una comunidad social, antes que un objeto. Luego muestra cómo la lectura de textos históricos en el aula contribuye a cada uno de estos aspectos del conocimiento para ayudar a lograr un verdadero conocimiento matemático.Palabras clave: Historia y Educación Matemática; fuentes historicas; apropriación de conocimiento matemático. READING HISTORICAL TEXTS IN THE CLASSROOM AbstractAfter clarifying some ambiguous terminology, two arguments related to the reading of historical texts in the mathematics classroom are herein presented. The first argument starts from the premise that mathematics is a very important part of human culture in general, in that it permeates almost all of the other parts of this culture. But one of the principle objectives of education is the appropriation of this very culture, so that the student may be enabled to lead a full and satisfying life. In consequence, the student should have intense direct contacts with historical texts that are prominent expressions of this culture. The second argument starts from a characterization of knowledge as a tripartite dialectical relation among the individual, the other and the world. Thus, we are confronted with knowledge as being a constructive activity performed by an individual, but developed within a social context, in face of an object. It is then shown how the reading of historical texts in the mathematics classroom contributes, with regard to each of these aspects of knowledge, to the building up of genuine mathematical knowledge.Keywords: History in Mathematics Education; historical texts; appropriation of mathematical knowledge. LENDO TEXTOS HISTÓRICOS NA SALA DE AULA ResumoDepois de esclarecer algumas ambiguidades de terminologia, apresenta-se aqui dois argumentos relacionados à leitura de textos históricos na sala de aula. O primeiro argumento parte da premissa de que a matemática é uma parte importante da cultura geral da humanidade no sentido de que ela permeia quase todas as outras partes dessa cultura. Mas, um dos principais objetivos da educação é a apropriação da referida cultura para que o educando possa alcançar uma vida rica e satisfatória. Em consequência, o aluno deveria ter contatos diretos e intensos com textos históricos que são grandes expressões dessa cultura. O segundo argumento parte de uma caracterização do conhecimento como sendo um relacionamento dialético tripartido entre o indivíduo, o outro e o mundo. Assim, deparamos com o conhecimento como uma atividade construtiva feita pelo indivíduo, mas desenvolvida dentro de uma comunidade social, perante um objeto. Mostra-se, então, como a leitura de textos históricos na sala de aula contribui com cada um desses aspectos do conhecimento para ajudar na consecução de conhecimento matemático genuíno.Palavras-chave: História e Educação Matemática; fontes históricas; apropriação de conhecimento matemático.


2008 ◽  
Vol 11 (2) ◽  
pp. 76-82 ◽  
Author(s):  
Sarah M. Ginsberg

Abstract This qualitative study examined student perceptions regarding a hybrid classroom format in which part of their learning took place in a traditional classroom and part of their learning occurred in an online platform. Pre-course and post-course anonymous essays suggest that students may be open to learning in this context; however, they have specific concerns as well. Students raised issues regarding faculty communication patterns, learning styles, and the value of clear connections between online and traditional learning experiences. Student concerns and feedback need to be addressed through the course design and by the instructor in order for them to have a positive learning experience in a hybrid format course.


2009 ◽  
Vol 23 (2) ◽  
pp. 129-138 ◽  
Author(s):  
Florian Schmidt-Weigand ◽  
Martin Hänze ◽  
Rita Wodzinski

How can worked examples be enhanced to promote complex problem solving? N = 92 students of the 8th grade attended in pairs to a physics problem. Problem solving was supported by (a) a worked example given as a whole, (b) a worked example presented incrementally (i.e. only one solution step at a time), or (c) a worked example presented incrementally and accompanied by strategic prompts. In groups (b) and (c) students self-regulated when to attend to the next solution step. In group (c) each solution step was preceded by a prompt that suggested strategic learning behavior (e.g. note taking, sketching, communicating with the learning partner, etc.). Prompts and solution steps were given on separate sheets. The study revealed that incremental presentation lead to a better learning experience (higher feeling of competence, lower cognitive load) compared to a conventional presentation of the worked example. However, only if additional strategic learning behavior was prompted, students remembered the solution more correctly and reproduced more solution steps.


2019 ◽  
Vol 1 (1) ◽  
pp. 45-60
Author(s):  
Naveed Akram Ansari

Educational strategies are designed to cope with and fulfill the multifarious pedagogical and educational needs of teachers and learners. Moreover, no educational plan can possibly yield the required results without incorporating suitable instructive strategies. This research paper advocates the role and importance of schemas in learning new forms of knowledge and data in the perspective of class room teaching-learning. Cognitive approach is adopted to understand how students learn new forms of knowledge and experiences through different mental processes, quite unlike that of behaviorism. The concept of schema helps us understand how learners can link new pieces of information to the already existing knowledge in their minds. The notion of ‘Constructivist Approach’ has been extracted from the field of educational psychology for triangulation. Extracts are taken from the textbooks of English used in matriculation and intermediate through purposive sampling. Their analysis shows that schemas can play a vital role in enhancing the learning experience and making new forms of knowledge a permanent part of the memory of students which is the ultimate goal of education.


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