scholarly journals Teaching Mathematical Problem-Solving with the Brain in Mind: How can opening a closed problem help?

2014 ◽  
Vol 4 (2) ◽  
pp. 105-120
Author(s):  
András Ambrus
Keyword(s):  
Problem Solving ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Relevant Literature ◽  
Mathematical Problem Solving ◽  
International Literature ◽  
Long Time ◽  
Mathematics Teaching And Learning ◽  
The Brain

In the international literature, increasing numbers of articles and books are published about teaching and learning, with the brain in mind. For a long time, I have been sceptical about this question. However, seeing many unresolved issues in the teaching and learning of mathematics, I slowly started to study the relevant literature and have attempted to implement some ideas in my teaching. In this article, I will report on my experience with a selected mathematical problem in mathematics lessons and group study sessions; I will demonstrate how I modified the problem, based on my experience with the students, and I will reflect on my studies of brain-based mathematics teaching and learning.

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 PERBEDAAN PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING DI KELAS X SMA NEGERI 2 PEMATANGSIANTAR

2020 ◽  
Vol 1 (2) ◽  
pp. 85-96
Author(s):  
Winmery Lasma Habeahan
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Equation System ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Contextual Approach ◽  
Control Group Design ◽  
Contextual Teaching ◽  
The Difference

The purpose of this study was to determine the differences in the improvement of students' mathematical problem-solving abilities with the Contextual Teaching and Learning approach in the material of the two-variable linear equation system in class X SMA Negeri 2 Pematangsiantar. This study used an experimental method with the aim of being in accordance with the previous statement to determine the difference in students' mathematical problem-solving abilities with a contextual approach and an expository approach, with a randomized pretest-posttest control group design. The average increase in problem-solving abilities in the control class was 0.1688 while the increase in problem-solving abilities in the experimental class was 0.0085. By using the t-test (SPSS), with a value of Fcount = 10.907 and a significant level of 0.05, a significant probability is obtained 0.002 <0.05, it can be concluded that there is a difference in normalized gain or an increase in problem-solving ability with conventional and contextual approaches. Based on the average gain of the control and experimental classes, the increase in the control class using the conventional approach is higher than the experimental class with the contextual approach. The difference in increasing problem-solving abilities in conventional classrooms is possible due to differences in students' entry-level abilities, which can be seen in the average pretest of each class.

Family Maths: Experiential Learning

2019 ◽  
pp. 145-149
Author(s):  
Pam Dorrington
Keyword(s):  
Problem Solving ◽  
Experiential Learning ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Theory And Practice ◽  
Inquiry Teaching ◽  
Positive Attitudes ◽  
Work Session ◽  
The Family ◽  
Mathematics Teaching And Learning

The international Family Maths programme adopts an inquiry teaching and learning approach and it encourages learners, often from diverse backgrounds, to participate fully in the learning process. The programme also aims to develop the vocabulary necessary for meaningful communication in mathematics, develop problem solving skills and increase confidence and enjoyment of mathematics. The programme has proven to be a powerful catalyst in this regard and holds important lessons for both curriculum development and developing positive attitudes towards mathematics teaching and learning. This experiential learning, interactive work-session focuses on primary school mathematics curricula (for pupils approximately 9 – 13 years of age) and aims at giving participating conference delegates an opportunity to engage with and experience some of the hands-on problem solving activities used in the Family Maths programme. Discussion will be encouraged around the relevance of these activities for the teaching and learning of mathematics. Our conference organisers encourage presenters to consider the relationship between research and classroom teaching, and how, and if, these relate to each other in practice. Can the Family Maths philosophy and practice be a catalyst in narrowing the divide between the theory and practice of effective mathematics teaching and learning?

Coordinate Geometry: A Powerful Tool for Solving Problems

1990 ◽  
Vol 83 (4) ◽  
pp. 264-268
Author(s):  
Stanley F. Taback
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
School Mathematics ◽  
Mathematical Problem Solving ◽  
Evaluation Standards ◽  
Mathematical Ideas ◽  
Mathematics Standards ◽  
Problem Situations ◽  
Coordinate Geometry

In calling for reform in the teaching and learning of mathematics, the Curriculum and Evaluation Standards for School Mathematics (Standards) developed by NCTM (1989) envisions mathematics study in which students reason and communicate about mathematical ideas that emerge from problem situations. A fundamental premise of the Standards, in fact, is the belief that “mathematical problem solving … is nearly synonymous with doing mathematics” (p. 137). And the ability to solve problems, we are told, is facilitated when students have opportunities to explore “connections” among different branches of mathematics.

A Problem is Something You Don't Want to Have: Problem Solving by Kindergartners

2005 ◽  
Vol 12 (3) ◽  
pp. 146-154
Author(s):  
Lynne Outhred ◽  
Sarah Sardelich
Keyword(s):  
Problem Solving ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Social Process ◽  
Mathematical Concepts ◽  
Mathematics Teaching And Learning ◽  
Mental Actions

Although Adrian, when asked by his teacher what a problem is, was adamant that problems are to be avoided, educators believe problem solving is central to mathematics teaching and learning (NCTM 2000). Problem solving supports students as they apply their skills and their knowledge of mathematical concepts and processes to a range of different contexts and as they construct knowledge by reflecting on their own physical and mental actions. When children solve problems together, learning is a social process in which they learn not only from the teacher but also by discussing, arguing, and negotiating with their peers.

A Modeling Perspective on the Teaching and Learning of Mathematical Problem Solving

2008 ◽  
Vol 10 (3) ◽  
pp. 293-304 ◽  
Author(s):  
Nicholas G. Mousoulides ◽  
Constantinos Christou ◽  
Bharath Sriraman
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving

scholarly journals Analisis Kemampuan Pemecahan Masalah Matematis pada Materi Kubus dan Balok di SMP

2021 ◽  
Vol 10 (1) ◽  
pp. 141-152
Author(s):  
Hermawati Hermawati ◽  
Jumroh Jumroh ◽  
Eka Fitri Puspa Sari
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Data Collection ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Learning Activities ◽  
Mathematical Problem Solving ◽  
Analysis Technique ◽  
Data Collection Technique ◽  
Academic Year

AbstrakKemampuan pemecahan masalah tidak lepas dari kegiatan belajar mengajar pada umumnya karena keberhasilan seseorang terhadap sesuatu yang dihadapi tidak lepas dari matematika. Penelitian ini bertujuan untuk mengetahui kemampuan pemecahan masalah matematis peserta didik kelas IX di SMP Negeri 15 Palembang. Sampel pada penelitian ini di ambil secara acak yaitu peserta didik kelas IX.1 berjumlah 31 peserta didik yang dilakukan di SMP Negeri 15 Palembang tahun Pelajaran 2019/2020. Teknik pengumpulan data menggunakan soal tes berbentuk uraian materi bangun ruang (kubus dan balok). Teknik analisis data dalam penelitian ini adalah deskriptif kuantitatif. Dari hasil analisis data dan pembahasan maka dapat disimpulkan bahwa kemampuan pemecahan masalah matematis peserta didik dikategorikan rendah.  Analysis of Mathematical Problem-Solving Ability on Cubes and Blocks in Junior High SchoolAbstractThe ability to solve problems cannot be separated from teaching and learning activities in general because one's success in something that is faced cannot be separated from mathematics. This study aims to determine the mathematical Problem-solving abilities of grade IX students at SMP Negeri 15 Palembang. The sample in this study was taken randomly. namely students of class IX.1, totaling 31 students which were conducted at SMP Negeri 15 Palembang for the 2019/2020 academic year. The data collection technique used test questions in the form of a description of the material (cubes and cuboids). The data analysis technique in this research is descriptive quantitative. From the results of data analysis and discussion, it can be concluded that the students' mathematical Problem-solving ability is categorized as low.

scholarly journals The Relationship between Problem-Solving Ability and Students' Characters Based on Islamic Perspectives

2019 ◽  
Vol 4 (2) ◽  
pp. 203-214
Author(s):  
Syamsul Huda ◽  
Muhammad Syahrul ◽  
Mu'min Firmansyah ◽  
Rahmi Ramadhani ◽  
Andika Eko Prasetiyo
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Sampling Technique ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Control Group Design ◽  
Quasi Experimental ◽  
Gender Factor

The purpose of this study was to analyze the mathematical problem-solving ability and characters of students who were taught using problem-based learning and ordinary learning based on Islamic perspectives. The instrument used in this study was a test of problem-solving ability and a students’ character questionnaire. This research was a quasi-experimental research with pre-test and post-test control group design. The sample of this research was 84 students from Private Islamic School in Medan, North Sumatera, by using a purposive sampling technique. The data in this research was declared homogenous and normal after being tested using the Levene’s Test and Kolmogorov-Smirnov Test. The hypothesis analyzes used was the Two Way-ANOVA test assisted by SPSS 25. The result showed that there was an improvement in mathematical problem-solving ability and students' characters through problem-based learning based on Islamic perspectives. However, there was no interaction between students' gender and problem-solving ability and character improvement based on Islamic perspectives. The gender factor in problem-based learning was not related to students’ cognitive and affective aspects. Each student with any gender had difference characters, especially related to Islamic perspectives. This research-proven that problem-based learning model had an important role in teaching and learning, and it can be used to improve students' mathematical and character problem-solving ability.

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