A Preservice Institute for Teachers of Secondary Mathematics

1972 ◽  
Vol 65 (4) ◽  
pp. 371-373
Author(s):  
Kenneth A. Retzer
Keyword(s):  
Mathematics Education ◽  
Student Teaching ◽  
Subject Matter ◽  
Field Testing ◽  
Secondary Mathematics ◽  
Teaching Mathematics ◽  
Teaching Aids ◽  
Mathematics Professor

Undergraduates, while student teaching, often have little contact with their campus except for visits from their college supervisor. They have no convenient way of sharing their experiences with their peers, of asking a mathematics professor ahout a troublesome topic in subject matter, of becoming acquainted with alternatives in textbooks, supplementary materials, and teaching aids, or of becoming involved in the production or field testing of experimental materials. Some have never taken a mathematics-education course, and others do not realize the relevance of what they have studied to teaching mathematics until they begin to wrestle, with problems in teaching mathematics.

Conceptualizing Belief Structures of Preservice Secondary Mathematics Teachers

1998 ◽  
Vol 29 (3) ◽  
pp. 306-333 ◽  
Author(s):  
Thomas J. Cooney ◽  
Barry E. Shealy ◽  
Bridget Arvold
Keyword(s):  
Professional Development ◽  
Preservice Teachers ◽  
Mathematics Education ◽  
Student Teaching ◽  
Mathematics Teachers ◽  
Secondary Mathematics ◽  
Significant Others ◽  
Secondary Mathematics Teachers ◽  
Belief Structures ◽  
Teachers Beliefs

This is a study of the beliefs and belief structures of 4 preservice secondary mathematics teachers as they progressed through a 4-quarter sequence in mathematics education including student teaching. We considered the notions of centrally and peripherally held beliefs and whether beliefs were held dualistically or contextually. The various ways in which the teachers structured their beliefs helped account for the fact that some beliefs were permeable whereas others were not. The nature of the evidence supporting the teachers' beliefs was considered particularly as that evidence related to the voices of significant others or to what the individuals valued. A scheme for conceptualizing the professional development of preservice teachers is posited.

scholarly journals Pedagogical conditions for implementing value and sense direction of training mathematics at higher school

2020 ◽  
pp. 80-92
Author(s):  
Larisa V. Zhuk
Keyword(s):  
Creative Thinking ◽  
Educational Process ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Search Activity ◽  
Mathematical Concepts ◽  
Teaching Aids ◽  
Semantic Orientation ◽  
Cognitive Information ◽  
The University

The article actualizes the issue of updating the content, methods and means of teaching mathematics at the university within the sociocultural paradigm. A significant contradiction characterizing the crisis situation in the field of higher mathematical education is the mismatch between the traditional organization of the educational process and the powerful developing potential of mathematical disciplines. Being overloaded with a lot of information, altogether with its insufficiently developed anthropological, cultural-like and communicative components, mathematical education hinders the mental development of the learner’s personality in relation to such important qualities as search activity, creativity, and creative thinking. The solution to this problem can be the transformation of the cognitive-information model of learning, the introduction of pedagogical technologies that actualize the sociocultural aspect of mathematical education. The aim of the study is to develop methodological foundations for the implementation of the value-semantic orientation of teaching mathematics at the university, expressed in providing a set of pedagogical conditions related to the selection of content, determination of teaching aids and methods, ways of organizing the interaction of students and a teacher, in which students intelligently master mathematical concepts, and freely operate with them. The didactic conditions for the implementation of the value-semantic orientation of teaching mathematics at the university are: the transformation of mathematical content, expressed in learning from sociocultural experience; the psychodidactic approach, focused on building the students’ self-motivation; the use of teaching methods that provide cognitive and emotional empathy (educational mathematical discourse), the activization of productive mental activity (technology of problematic dialogue); inclusion of non-standard, creative tasks, training cases. Providing these conditions will allow to realize the humanitarian potential of mathematics, to reveal the social, practical and personal significance of the subject matter.

scholarly journals Uses of Technology in Upper Secondary Mathematics Education

2017 ◽  
Author(s):  
Stephen Hegedus ◽  
Colette Laborde ◽  
Corey Brady ◽  
Sara Dalton ◽  
Hans-Stefan Siller ◽  
...  
Keyword(s):  
Mathematics Education ◽  
Secondary Mathematics ◽  
Secondary Mathematics Education ◽  
Upper Secondary

scholarly journals A Cross-Sectional Analysis of Mathematics Education Practices at Canadian Universities

2018 ◽  
Vol 12 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Chester Weatherby ◽  
Donna Kotsopoulos ◽  
Douglas Woolford ◽  
Laaraib Khattak
Keyword(s):  
Mathematics Education ◽  
Standardized Testing ◽  
Secondary Mathematics ◽  
Online Information ◽  
Cross Sectional ◽  
Mathematics Scores ◽  
Canadian Universities ◽  
Mathematics Majors ◽  
Post Secondary ◽  
University Mathematics

In response to international standardized testing, many countries are examining mathematics education at virtually every level of instruction. Canada is no exception. Declines in mathematics scores in some international standardized tests have raised concerns amongst some stakeholders that a “crisis” may be unfolding and the readiness of students to study mathematics in university. These results raise questions about the ways in which students are streamed into university mathematics and the supports provided once they begin their studies. Our focus in this research was university-level mathematics education. To mimic how students, parents, counselors and son on are most likely to seek for mathematics support, we engaged in a web-based examination of departments of mathematics at 62 Canadian universities (including “university colleges”). Our objectives were to examine the types of degrees offered, admission protocols (including types of streaming or placement tests), methods for remedial support, accessibility of online information, mathematics help centers, courses for non-mathematics majors, and access initiatives as a preliminary step in analyzing the broader Canadian landscape in post-secondary mathematics education. Our findings reveal remarkably consistent practices across all institutions. A rethinking of practices may be necessary in order to support those students that appear to be underprepared for post-secondary mathematics.

scholarly journals Um cenário de estudos envolvendo o ensino de Matemática através da Resolução de Problemas em periódicosA study scenario involving the teaching of mathematics through problem solving in journals

2020 ◽  
Vol 22 (2) ◽  
pp. 252-280
Author(s):  
Kaique Nascimento Martins ◽  
Jamille Vilas Bôas
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
The State ◽  
University Education ◽  
Teaching Mathematics ◽  
Mathematics Teaching And Learning ◽  
Teaching Of Mathematics

ResumoO presente estudo é uma pesquisa bibliográfica inspirada no Estado do Conhecimento, tendo como objetivo compreender focos temáticos nas produções acadêmicas que utilizam/abordam o ensino de matemática através da resolução de problemas. Para tanto, realizou-se um mapeamento das produções acadêmicas publicadas nos periódicos: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista e Educação Matemática Pesquisa, entre janeiro de 2011 e junho de 2019. De um modo geral, percebemos uma variedade de estudos contendo diferentes perspectivas discutidas e abordadas tanto na educação básica quanto no ensino superior.  A partir deste trabalho, é possível ampliar o entendimento sobre a temática, fortalecendo a ideia de que esta pode potencializar o processo de ensino e aprendizagem de matemática.Palavras-chave: Resolução de problemas, Mapeamento, Educação matemática.AbstractThe present study is a bibliographic research inspired by the state of knowledge, aiming to understand thematic focuses on academic productions that use/approach teaching mathematics through problem-solving. For this purpose, we mapped the academic productions published in journals: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista, and Educação Matemática Pesquisa, published between January 2011 and June 2019. We noticed a variety of studies containing different perspectives discussed and addressed both in basic and university education. From this work, it is possible to broaden the understanding of the theme, strengthening the idea that it can enhance the mathematics teaching and learning process.Keywords: Problem solving, Mapping, Mathematics education. ResumenEl presente estudio es una investigación bibliográfica inspirada en el estado del conocimiento, con el objetivo de comprender enfoques temáticos sobre producciones académicas que utilizan/abordan la enseñanza de las matemáticas a través de la resolución de problemas. Para ello, mapeamos las producciones académicas publicadas en las revistas: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista y Educação Matemática Pesquisa, publicadas entre enero de 2011 y junio de 2019. Notamos una variedad de estudios que contienen diferentes perspectivas discutidas y abordadas tanto en educación básica como en educación universitaria. A partir de este trabajo, es posible ampliar la comprensión del tema, fortaleciendo la idea de que puede potenciar el proceso de enseñanza y aprendizaje de las matemáticas.Palabras clave: Resolución de problemas, Mapeo, Educación matemática.

scholarly journals VISUALIZATION OF SECOND ORDER CURVES IN GEOGEBRA WHEN TEACHING MATHEMATICS TO STUDENTS OF VOCATIONAL EDUCATION INSTITUTIONS

2021 ◽  
Vol 57 (3) ◽  
pp. 134-146
Author(s):  
D.V. Bochkareva ◽  
Keyword(s):  
Mathematics Education ◽  
Vocational Education ◽  
Cognitive Abilities ◽  
Creative Thinking ◽  
Statistical Processing ◽  
Education Institution ◽  
Second Order ◽  
Educational Process ◽  
Teaching Mathematics ◽  
Mathematical Methods

Problem statement. This article is devoted to such a topical issue as the use of the dynamic mathematics system (DMS) GeoGebra in teaching mathematics. DMSs are gradually being introduced into mathematics education, but the question is raised about the effectiveness of their application. The purpose of the article is to study the influence of GeoGebra on the quality of the solving of tasks on the topic «Second order curves» by 2nd year students studying in the specialty “Applied Informatics (by branches)” at NovosibirskProfessional and Pedagogical Vocational Education Institution. The research methodology consisted in the analysis and synthesis of scientific literature on the chosen topic, pedagogical experiment, mathematical methods of processing the results of this experiment and observation of the participants in the pedagogical process.The obtained results of the research indicate that the use of the GeoGebra program has a positive effect on the academic performance of students. Statistical processing of the obtained data shows that there are no differences in the selected criteria between the group that worked in the GeoGebra and the group that worked without computer programs. However, the use of DMSmakes it possible to visually demonstrate the material, draw the attention of students to the academic discipline, promotes the development of creative thinking, and allows students to experiment with mathematical objects on their own. Conclusion. Due to the widespread use of dynamic systems in mathematics education, the study of their influence on the development of various cognitive abilities and personal qualities of students is of practical and scientific interest. The materials of the work can be used in the educational process when teaching and learning the course EN.01 Mathematics at the level of secondary vocational education and distributed to various topics and sections of mathematical disciplines at other levels of education.

The role and significance of computer animation in school algebra of complex numbers

2021 ◽  
pp. 22-27
Author(s):  
S. V. Larin
Keyword(s):  
Computer Animation ◽  
Research Work ◽  
Complex Numbers ◽  
Teaching Mathematics ◽  
Research Approach ◽  
Mathematical Concepts ◽  
Teaching Aids ◽  
Tenth Grade ◽  
Relevant Topic ◽  
Approach To Teaching

The article discusses computer technologies in teaching mathematics, which is relevant in the light of the digitalization of education. The role and importance of computer animation in algebra lessons in the study of complex numbers in the tenth grade in accordance with the current school textbooks are presented. Animation drawings can be used as demonstration drawings when studying the relevant topic, as a tool for testing knowledge, they provide an opportunity for experimentation, support the research style of developing learning. The use of animated drawings effectively replenishes the arsenal of teaching aids for a practicing mathematics teacher. This allows you to eliminate unnecessarily burdensome computational difficulties, to visualize mathematical concepts and statements, turning some of them into obviously correct ones, to facilitate the teacher's work in compiling tasks of the same type with different data. The management of the student's educational and research work on the manufacture of animation-geometric models of objects and phenomena contributes to the successful assimilation of knowledge by students, stimulates an experimental research approach to teaching.

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