Problem-Solving in Mathematics Education

Resumo Este artigo objetiva apresentar um panorama sobre a contextualização através de uma meta análise de pesquisas que tratam deste conceito. Consideramos pesquisas que abordam a contextualização a partir de sua proposição pelas políticas públicas, através de documentos, livros didáticos e avaliações, bem como as concepções e práticas desenvolvidas por professores e pesquisadores da educação matemática. As análises evidenciam um distanciamento entre o que é compreendido epistemologicamente e a prática em sala de aula. A fragilidade de entendimentos sobre o que é contextualização tem limitado o ensino à resolução de problemas e aplicação, simplificando conceitos no processo de ensino e aprendizagem por não enfatizarem o processo de abstração decorrente da contextualização. Abstract This paper aims to present an overview of the contextualization through a meta-analysis of researches, which deal with this concept. We consider researches that address the contextualization from its proposition by public policies through documents, textbooks and assessments, as well as the conceptions and practices developed by teachers and researchers of mathematics education. The analyses have shown a gap between what is epistemologically understood and practice in the classroom. The weakness in understanding what is contextualization has limited teaching to problem solving and application, simplifying concepts in the process of teaching and learning due to not emphasizing the abstraction process arising from the contextualization.

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Problem Solving as a Subject and as a Pedagogical Approach, and the Ongoing Dialogue Between Mathematics and Mathematics Education

Research in Mathematics Education - Problem Solving in Mathematics Instruction and Teacher Professional Development ◽

10.1007/978-3-030-29215-7_2 ◽

2019 ◽

pp. 23-42

Author(s):

Frédéric Gourdeau

Keyword(s):

Mathematics Education ◽

Problem Solving ◽

Pedagogical Approach ◽

And Mathematics ◽

Ongoing Dialogue

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Development of Learning Tools Based on Realistic Mathematics Education Aproaches to Improve the Mathematical Problem Solving Skills at X Grade in High School

Proceedings of the International Conference on Biology, Sciences and Education (ICoBioSE 2019) ◽

10.2991/absr.k.200807.073 ◽

2020 ◽

Author(s):

M Arrahmah ◽

E Musdi

Keyword(s):

High School ◽

Mathematics Education ◽

Problem Solving ◽

Mathematical Problem ◽

Mathematical Problem Solving ◽

Realistic Mathematics Education ◽

Learning Tools ◽

Problem Solving Skills ◽

Realistic Mathematics

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THE INSTRUCTION TO OVERCOME THE INERT KNOWLEDGE ISSUE IN SOLVING MATHEMATICAL PROBLEM

Jurnal Gantang ◽

10.31629/jg.v1i1.2 ◽

2016 ◽

Vol 1 (1) ◽

pp. 16-25 ◽

Cited By ~ 1

Author(s):

Febrian Febrian

Keyword(s):

Mathematics Education ◽

Problem Solving ◽

Prior Knowledge ◽

Mathematical Problem ◽

Mathematical Problem Solving ◽

Realistic Mathematics Education ◽

Literature Study ◽

Realistic Mathematics ◽

Knowledge Access

One characteristic of typical mathematical problem is that it requires bunch of relevant prior knowledge. This knowledge is built consecutively and is recalled whenever needed to promote student to solve the problem. The process undertaken by the solver to utilize existing relevant prior knowledge while solving the problem is called access. However, this access is possible subject to disturbance for some reasons. This literature study addresses some factors that can distract access: factor related to metaprocess and factor related to deficit structure. The variants included in both factors have been proved through research as the contributors of the accessibility of relevant prior knowledge. Knowledge that cannot be accessed is called inert knowledge, the main reason for why solver face the difficulty to find the answer to given mathematical problem. The explanation leads to the suggestion of how to tackle the inertia of particular knowledge. One of them are through the instruction setting. Realistic Mathematics Education as one of approaches in learning can be a possible alternative for the issue of inert knowledge. Keywords. Mathematical problem solving, prior knowledge, access, inert knowledge, Realistic Mathematics Education

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Realistic mathematics education: An approach to improve problem solving ability in primary school

Journal of Education and Learning (EduLearn) ◽

10.11591/edulearn.v15i4.19354 ◽

2021 ◽

Vol 15 (4) ◽

pp. 511-518

Author(s):

Lutfi Putri Nugraheni ◽

Marsigit Marsigit

Keyword(s):

Mathematics Education ◽

Problem Solving ◽

Primary School ◽

Mathematical Problem ◽

Realistic Mathematics Education ◽

School Students ◽

Learning Materials ◽

Problem Solving Skills ◽

Realistic Mathematics ◽

Primary School Student

Mathematical problem solving was an crucial skill to be mastered by primary school student so that will help student to unravel their problems encountered in everyday life. By using the realistic mathematics approach, stundents learn mathematical concept based on reality or scope around students. This study aimed to develop an eligible learning materials and test the effectiveness of learning materials based on realistic mathematics education to enhance the problem solving skill of primary school students. This research and development study was conducted in Sawangan Subdistrict, Magelang Regency, Central Java, Indonesia. The testing subjects consisted of 12 students in the the preliminary field, there were 42 students in the main field, and 90 students in the operational field that divided into experiment dan control class. The data were collected by interviews, observation, and tests. The analyzing N-gain score and t-test with a significant level of 0.05 done to find out th effectiveness of the teaching materials. The developed of realistic mathematics eduation learning materials is feasible and effective in improving problem solving skill with significance value of 0.000 (p≤0.05). It can enhance the problem solving skills of 4th grade elementary school.

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Information Technology and problem solving in mathematics education

Capacity Building for IT in Education in Developing Countries ◽

10.1007/978-0-387-35195-7_32 ◽

1998 ◽

pp. 299-307

Author(s):

G. Dettori ◽

S. Greco ◽

E. Lemut

Keyword(s):

Information Technology ◽

Mathematics Education ◽

Problem Solving

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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

Educação Matemática Pesquisa Revista do Programa de Estudos Pós-Graduados em Educação Matemática ◽

10.23925/1983-3156.2020v22i2p252-280 ◽

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.

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