Instructional Strategies in Mathematics Education

1973 ◽  
Vol 66 (7) ◽  
pp. 607-612
Author(s):  
Norma G. Hernandez

The Search for the perfect teaching method has persisted for many years, In the meantime, many effective strategies have been identified. A strategy is defined, here, as a plan of relatively structured procedures by which specific objectives are achieved. Although many plans have been developed, no one strategy has been shown effective under all conditions. The most promising direction toward effective mathematics teaching at this time appears to be the use of a variety of strategies tailored to the objectives of the lesson and student needs at the time of instruction.

Author(s):  
Fadime Ulusoy ◽  
Lutfi Incikabi

Developing students' abilities in using and selecting appropriate representations and making transformations between representations is an important issue in mathematics education. Among the mathematical concepts, fractions have always reported as a challenging issue for students in the middle schools for a long time. In this sense, researchers have suggested the use of different representations in learning and teaching of fractions in order to enhance students' conceptual understandings of fractions. Based on this suggestion, we provide some activities for engaging middle school students with multiple representations of fractions by focusing on addition operation. These activities are focused on the need to identify appropriate instructional strategies to enhance students' communication and critical thinking, thus improving their academic performance in mathematics.


2019 ◽  
Vol 3 (2) ◽  
pp. 471-480 ◽  
Author(s):  
Lin Yi ◽  
Zhou Ying ◽  
Tommy Tanu Wijaya

According to the school observation in China, There are still fragmentation and superficiality problems in front-line teachers’ mathematics teaching method. The reason is that the general system theory has not been rooted in the mathematics teaching method. This study aims to develop Dick-Carey model of systematic design and used in the learning activity. Based on system analysis model,  Dick-Carey model of systematic design, and the “Six Questions” cognitive concepts, this paper tries to construct a systematic plan of teaching mathematics. In order to restore the structure, improve the breadth, depth and openness of teaching plan and to promote the systematic model into better teaching method. At the same time, taking the design of "intersecting lines" as an example, this paper explores the effective strategies of systematic design in mathematics teaching.


2020 ◽  
Vol 24 ◽  
Author(s):  
Wagner Rodrigues Valente ◽  
Maria Célia Leme da Silva

Abstract This article discusses results from research developed on the transformations in mathematics teaching in primary school and the mathematics in teacher training from the 19th century to the mid-20th century in Brazil. We have analyzed the understanding of the relationship between the mathematical disciplinary field and pedagogy in order to confirm the theoretical hypothesis that the interactions between the two fields produce mathematics of different natures, which are interconnected.


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.


2021 ◽  
Vol 11 (2) ◽  
pp. 233
Author(s):  
Haibin Sun ◽  
Tingting Liu

The COVID-19 pandemic has had a serious impact on education at all levels and types, and the education system, including colleges and universities, has been forced to respond by a sudden shift to online teaching. Successful online teaching requires careful thinking, planning, and technical and human support from teachers. Based on the reflection on the offline classroom teaching of theoretical mechanics for many years and the online teaching practice of first half of 2020, the author summarizes effective strategies for implementing online teaching of theoretical mechanics. We prepared the theoretical mechanical lessons through a “student-centered” approach, such as preparing teaching materials, students and teaching methods. These teaching strategies include (i) Adopting live-stream teaching as the main teaching method, (ii) Applying electronic blackboard to online deductions, (iii) Linking theory to practice for better understanding of knowledge, (iv) Integrating curriculum content in ideological and moral education, (v) Conducting formative assessment to supervise and motivate online learning. The implementation of these online teaching strategies has effectively promoted the development of students' independent learning ability.


Author(s):  
Kaique Nascimento Martins ◽  
Jamille Vilas Bôas

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.


1970 ◽  
Vol 17 (5) ◽  
pp. 428-437
Author(s):  
Francis J. Mueller ◽  
Paul C. Burns

The methods component of mathematics education in the United States has seldom been static. Particularly interesting is the cyclic nature of recurring issues and their varying proposed soltllions.


1992 ◽  
Vol 39 (6) ◽  
pp. 24-29 ◽  
Author(s):  
David J. Clarke

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989, 1, 2) emphasizes the role of evaluation “in gathering information on which teachers can base their subsequent instruction.” This strong sense of assessment's informing instructional practice is also evident in the materials arising from the Australian Mathematics Curriculum and Teaching Program (Clarke 1989: Lovitt and Clarke 1988, 1989). Both projects offer their respective mathematics-education communities a set of goal much broader than those traditionally conceived for mathematics instruction. The adoption of these goals by mathematics teachers and school systems demands the use of new assessment strategies if the restructuring of the mathematics curriculum and mathematics-teaching practice is to be effected. Mathematics education must not restrict itself to those goals that can be assessed only through conventional pencil-and-paper methods.


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