Creative approaches to teaching mathematics education with online tools during COVID-19

2021 ◽  
pp. 1-9
Author(s):  
Sharyn Livy ◽  
Tracey Muir ◽  
Carol Murphy ◽  
Allison Trimble
Keyword(s):  
Mathematics Education ◽  
Teaching Mathematics ◽  
Approaches To Teaching ◽  
Online Tools

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.

Scientific novelties implemented into teaching mathematics in secondary schools on the Polish territories in the 19th century. The case of descriptive geometry

2020 ◽  
pp. 205-218
Author(s):  
Karolina Karpińska
Keyword(s):  
Mathematics Education ◽  
19Th Century ◽  
18Th Century ◽  
History Of Mathematics ◽  
Descriptive Geometry ◽  
Teaching Mathematics ◽  
Education History ◽  
Secondary School Education ◽  
History Of ◽  
The 19Th Century

This article is dedicated to discussing the implementation of the descriptive geometry, i.e. the scientific novelty from the end of the 18th century, in secondary school education on the Polish territories in the 19th century. At that time, Polish lands were under the occupation of three empires: Prussia, Austria, and Russia. Over the time, the policy of the partition empires toward the Poles was changing in intensity. As a consequence, in the 19th century, there were schools on the Polish territories with Polish, Prussian, Austrian and Russian curricula and relevant lecture languages. The article analyses the implementation of descriptive geometry into teaching mathematics in schools located in all three partitions. Keywords: descriptive geometry, history of mathematics education, history of mathematics

Mathematical Attainments in Primary Schooling: Raising Standards and Reducing Diversity

2002 ◽  
Vol 179 ◽  
pp. 64-75 ◽  
Author(s):  
Julia Whitburn
Keyword(s):  
Teaching Mathematics ◽  
English School ◽  
Teaching Approaches ◽  
Approaches To Teaching ◽  
Primary Stage ◽  
Primary Mathematics ◽  
Primary Schooling ◽  
The Past ◽  
Secure Foundation ◽  
Age Of Entry

Concern over poor standards in mathematics among English school leavers has led to a number of government initiatives in recent years. Without a secure foundation of mathematical understanding and competence during the primary school years, later learning in mathematics is problematic. This paper examines recent major initiatives at the primary stage of schooling and their effect on raising standards, including the National Numeracy Strategy and the Improving Primary Mathematics (IPM) project. The latter project, influenced by successful Continental approaches to teaching mathematics, aimed both to raise average standards of attainment and to reduce the large variation in attainment that has, in the past, characterised the performance of English pupils.Although the new teaching approaches, and the innovatively detailed teaching materials, developed by the IPM project have enabled significant improvements to be effected, concern remains over the low attainment in England of an unduly large proportion of pupils (as compared with Continental schools). It is suggested that serious consideration needs to be given to adopting arrangements that are the norm in several other countries — namely, to introduce some flexibility in age of entry to schooling (at present in England this is governed strictly by date of birth). Such a change would, it is suggested, significantly reduce the number of low attainers and range of attainment within a class, and make a teacher's task of successful interactive whole-class teaching more manageable.

Is the “new math” really better?

1974 ◽  
Vol 21 (1) ◽  
pp. 68-73
Author(s):  
Irving M. Cowle
Keyword(s):  
Elementary School ◽  
Mathematics Education ◽  
Teaching Mathematics ◽  
Primary Function ◽  
Parent Groups ◽  
New Math

Is the ‘new math’ really better? I have heard this question literally hundreds of times, both in my primary function (that of teaching mathematics education to students preparing for careers in the elementary school) and on the occasions when I spoke to parent groups or conducted workshops for teachers who are already in service. People are still asking, “Just what is the ‘new math’?” One also hears repeatedly, from those individuals who once loved mathematics and did so well, “Until the new programs came along …, then I was all mixed up.”; And there are numerous instances in which a highly competent parent who majored in mathematics in college, or is an engineer, relates how he could always help his youngster with homework, “but now, I don't know what they're talking about.”

Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education

1992 ◽  
Vol 23 (5) ◽  
pp. 412-431 ◽  
Author(s):  
Michael W. Apple
Keyword(s):  
Mathematics Education ◽  
Educational Reform ◽  
Mathematical Knowledge ◽  
Mathematics Curriculum ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Policy And Practice ◽  
Conservative Movement ◽  
Evaluation Standards

Although NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Standards for Teaching Mathematics (1991) are generating considerable interest, there has been little discussion of their ideological and social grounding and effects. By placing the Standards within the growing conservative movement in education, this paper raises a number of crucial issues about the documents, including the depth of the financial crisis in education and its economic and ideological genesis and results; the nature of inequality in schools; the role of mathematical knowledge in our economy in maintaining these inequalities; the possibilities and limitations of a mathematics curriculum that is more grounded in students' experiences; and the complicated realities of teachers' lives. Without a deeper understanding of these issues, the Standards will be used in ways that largely lend support only to the conservative agenda for educational reform.

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.

Seventeenth Annual Summer Meeting

1957 ◽  
Vol 50 (5) ◽  
pp. 410-411
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Teaching Mathematics ◽  
The Many ◽  
Annual Summer ◽  
The U.S

Contemporary mathematics, new trends in mathematics education, and current problems of teaching mathematics will be highlighted at the 1957 Summer Meeting of The rational Council of Teachers of Mathematics at Carleton College. Outstanding leaders in mathematics and education from all parts of the U.S. will participate in the meetings. Mathematics teachers wilt share their successful techniques at the many sessions on current teaching problems.

Connecting Research to Teaching: Probability and Statistics

1993 ◽  
Vol 86 (3) ◽  
pp. 244-248
Author(s):  
J. Michael Shaughnessy
Keyword(s):  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Classroom Communication ◽  
Approaches To Teaching ◽  
Evaluation Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Present Information ◽  
Probability And Statistics ◽  
The Many

This issue introduces a new department to the Mathematics Teacher, “Connecting Research to Teaching.” Articles will focus on mathematical and pedagogical ideas related to the NCTM's Curriculum and Evaluation Standards (1989) and the Professional Standards for Teaching Mathematics (1991). Authors will strive to present information to help teachers (1) understand students' conceptions or misconceptions of important ideas, (2) consider various approaches to teaching, and (3) offer activities that probe students' understanding. Although research offers no one correct answer to the many perplexing problems surrounding teaching and learning mathematics, the suggestions and perspectives may help teachers pursue their work with new insights. It is hoped that the department will also stimulate researchers to reflect on connecting research to the classroom. Communication and collaboration between teachers and researchers will benefit both groups and help each grow in appreciation of the other's tasks.

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