Heuristics and Memory Strategies Used by Mathematicians

1996 ◽  
Vol 83 (1) ◽  
pp. 41-42
Author(s):  
Salvador Algarabel ◽  
Carmen Dasí
Keyword(s):  
Problem Solving ◽  
Linear Algebra ◽  
Differential Calculus ◽  
Master's Degrees ◽  
Memory Strategies ◽  
Mathematical Proofs ◽  
Frequency Of Use ◽  
Technical Material

The paper presents a survey of a sample of 41 students with master's degrees in mathematics about the difficulty and types of strategies used to study technical material, including mathematical proofs. In addition, students were asked to rate the frequency of use of several heuristics strategies in problem solving in the fields of Linear Algebra, Geometry, Differential Calculus, and Statistics.

scholarly journals STRATEGI BELAJAR BAHASA ARAB MAHASISWA PRODI PBA IAIN ANTASARI BANJARMASIN MENURUT MODEL OXFORD

2016 ◽  
Vol 11 (1) ◽  
pp. 54
Author(s):  
Ahmad Muradi ◽  
Hasbullah Hasbullah
Keyword(s):  
Problem Solving ◽  
Student Learning ◽  
Language Skills ◽  
Social Strategies ◽  
Education Students ◽  
Reading And Writing ◽  
Memory Strategies ◽  
Survey Results ◽  
Data Source

This research is a case against of departement of Arabic education of IAIN Antasari Banjarmasin to learn Arabic. The data source of this research is the student of 2012/2013, 2013/2014, and six lecturers that administer of linguistic subject or language skills. This study aims to collect information on students learning Arabic strategies in departement of Arabic education. While the data extracted is information about: the form of difficulty students learning Arabic, the cause and degree of difficulty, the type of student learning in departement of arabic education, the efforts and strategies by departement of arabic education students in problem solving learning Arabic, and the outcome of the efforts/strategies they are doing. Based on the survey results revealed that students have difficulty in learning Arabic in the matter of language and language skills. Difficulties in linguistic materials include use nahwu and sharf in reading and writing, the meaning of a sentence or a word, sentence or word and pronunciation. While the difficulties in aspects of language skills include: listening, speaking, reading, and writing. But the difficulties they feel it, both aspects of alkalinity or their skills can be overcome by evaluating their learning, the dominant use of memory strategies, affective, cognitive, and social strategies.

The Application of Linear Algebra Algorithm in the Production of Linear Matrix Inequalities

2012 ◽  
Vol 192 ◽  
pp. 406-411
Author(s):  
Hui Zhang
Keyword(s):  
Problem Solving ◽  
Linear Algebra ◽  
Linear Matrix Inequalities ◽  
Polynomial Matrix ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Application System ◽  
And Control ◽  
Problem Data

Discusses the theory and symbolic of the algorithm gives another potential application, but also in the system and control. For example, for the question, has made with special structure, but LMI problem data, may cause factorizations LMI more compact. One can even imagine using the algorithm around, looking for the opportunity to LMI automatic eliminate variables, so simplify problem solving, before they get a lot of influence and a potential solutions. We describe theory, the algorithm can be used to factor in the non commuting variable polynomial matrix and application system switches and control problem into a linear matrix inequality.

scholarly journals Problem-based learning with role-playing: An experiment on prospective mathematics teachers

2020 ◽  
Vol 13 (1) ◽  
pp. 14-32
Author(s):  
Ita Chairun Nissa ◽  
I Ketut Sukarma ◽  
Sutarto Sutarto
Keyword(s):  
Problem Solving ◽  
Linear Algebra ◽  
Mathematics Teachers ◽  
Problem Based Learning ◽  
Role Playing ◽  
Control Group ◽  
Problem Solving Skills ◽  
Video Recordings ◽  
Post Test ◽  
Prospective Mathematics Teachers

[English]: This study aimed to examine the effect of problem-based learning (PbL) with role-playing toward problem-solving skills of prospective mathematics teachers’ (PMTs) who take linear algebra courses. The study was a quasi-experimental with a non-equivalent control group post-test only design. Forty-two PMTs were involved and divided into experimental (taught using PbL combined with role-playing) and control groups (taught using PbL only). Data were collected using tests and video recordings. The test produces data on PMTs' problem-solving skills on linear algebra problems and video recordings resulted in the transcripts of PMTs’ discussion when they played a role. Data were analyzed through two stages. Firstly, the results of the test were analyzed quantitatively using F-test to measure the variance of the two groups, then measure the normality of the data using the interpretation of skewness and kurtosis, and finally, one-tail t-test to measure differences in test results between the two groups. Secondly, the sample of PMTs’ works in two groups and the transcripts of their conversation were qualitatively analyzed to strengthen the quantitative finding and reveal how PbL with role-playing support PMTs’ problem-solving in teacher education. This study shows that PbL with role-playing is more effective to improve students’ problem-solving skills than solely doing problem-based learning. Doing a role-playing provided students with the opportunity to be able to think and speak mathematics more formally in the context of problem-solving. Keywords: Problem-based learning, Role-playing, Prospective mathematics teachers, Problem-solving [Bahasa]: Penelitian ini bertujuan untuk menguji pengaruh pembelajaran berbasis masalah dengan bermain peran pada pemecahanmasalah calon guru matematika yang mengambil matakuliah aljabar linier pada semester ketiga. Penelitian ini adalah eksperimen semu dengan desain post-test kelompok kontrol yang tidak setara. Empat puluh dua calon guru matematika terlibat dalam penelitian ini dan mereka dibagi menjadi kelompok eksperimen (diajarkan menggunakan pembelajaran berbasis masalah dengan bermain peran) dan kelompok kontrol (diajarkan menggunakan pembelajaran berbasis masalah saja). Data dikumpulkan menggunakan tes dan rekaman video. Tes menghasilkan data tentang kemampuan calon guru untuk memecahkan masalah aljabar linier dan rekaman video yang menghasilkan transkrip diskusi calon guru ketika mereka memainkan suatu peran. Data dianalisis melalui dua tahap. Pertama, hasil tes dianalisis secara kuantitatif menggunakan uji-F untuk mengukur varian kedua kelompok, kemudian mengukur normalitas data menggunakan interpretasi skewness dan kurtosis, dan akhirnya dilakukan uji-t  satu pihak untuk mengukur perbedaan hasil tes antara kedua kelompok. Kedua, sampel hasil tes calon guru matematikadari kedua kelompok dan transkrip diskusidianalisis secara kualitatif untuk memperkuat temuan kuantitatif dan mengungkapkan bagaimana pembelajaran berbasis masalah dengan bermain peran dapat mendukung pemecahan masalah pada calon guru matematika yang menempuhpendidikan guru. Penelitian ini menunjukkan bahwa pembelajaran berbasis masalah dengan bermain peran lebih efektif untuk meningkatkan keterampilan pemecahan masalah calon guru matematika daripada hanya melakukan pembelajaran berbasis masalah saja. Bermain peran memberikan kesempatan kepada mahasiswa untuk dapat berpikir dan mengomunikasikan matematika secara formal dalam konteks pemecahan masalah. Kata kunci: Pembelajaran berbasis masalah, Bermainperan, Calon guru matematika

scholarly journals LA FORMACIÓN Y DESARROLLO CONCEPTUAL EN EL CÁLCULO DIFERENCIAL Y EL ÁLGEBRA LINEAL EN LAS CARRERAS DE INGENIERÍA

PARADIGMA ◽  
2020 ◽  
pp. 571-599
Author(s):  
Olga Lidia Pérez González
Keyword(s):  
Linear Algebra ◽  
Differential Calculus ◽  
Conceptual Development ◽  
Scientific Research ◽  
Theoretical Modeling ◽  
Systemic Approach ◽  
Research Strategies ◽  
Alternative Proposal ◽  
Investigación Cualitativa ◽  
Academy Of Sciences

Iberoamericana de Matemática Educativa se desarrolla una tendencia hacia el decrecimiento de trabajos teóricos conceptuales sobre las didácticas particulares de las diferentes asignaturas de Matemática. Desarrollando una investigación cualitativa, apoyada en el método dialéctico materialista, la modelación teórica y el enfoque sistémico estructural, el artículo integra en términos descriptivos los resultados de un proyecto de investigación que tuvo como núcleo teórico la formación y desarrollo conceptual en el contexto del Cálculo Diferencial y el Álgebra Lineal en las carreras de ingeniería. A partir del desarrollo exitoso de cuatro tesis de doctorado, que utilizaron modelos como construcciones teóricas, se caracterizaron los rasgos esenciales de las relaciones, formación y desarrollo conceptual-procedimental en el contexto antes descrito. La investigación obtuvo el premio Nacional de la Academia de Ciencias de Cuba a los resultados de la investigación científica del año 2018 y sus resultados constituyen una propuesta alternativa a las diversas estrategias investigativas de los matemáticos educativos, así como una nueva forma de reflexionar con relación a la Didáctica de esas asignaturas.Palabras clave: Cálculo Diferencial. Álgebra Lineal. Ingeniería. Desarrollo conceptual.Formação e desenvolvimento conceitual em Cálculo Diferencial e Álgebra LinearResumoNo atual campo científico da Comunidade Ibero-americana de Matemática Educacional, destaca-se o uma tendência à diminuição de trabalhos teóricos conceituais sobre os didáticos particulares de diferentes disciplinas de matemática. Desenvolvendo uma pesquisa qualitativa, apoiada no método dialético materialista, modelagem teórica e abordagem sistêmica estrutural, o artigo integra em termos descritivos os resultados de um projeto de pesquisa cujo núcleo teórico foi a formação e o desenvolvimento conceitual no contexto do Cálculo Diferencial e Álgebra Linear em carreiras de engenharia. A partir do desenvolvimento bem-sucedido de 4 teses de doutorado que utilizaram os modelos como construções teóricas, foram caracterizadas as características essenciais do treinamento conceitual, desenvolvimento conceitual, desenvolvimento conceitual-processual e o desenvolvimento de relações conceituais no contexto descrito acima. A pesquisa obteve o Prêmio Nacional da Academia Cubana de Ciências pelos resultados da pesquisa científica do ano de 2018 e seus resultados constituem uma proposta alternativa às várias estratégias de pesquisa de matemáticos educacionais, bem como uma nova maneira de refletir sobre a didática desses sujeitos.Palavras-chave: Cálculo Diferencial. Álgebra Linear. Engenharia. Desenvolvimento conceitual.The formation and conceptual development in Differential Calculus and Linear ÁlgebraAbstractMathematics education in the Ibero-American Community. However, there is a tendency to the decreasing of conceptual theoretical works on the particular didactics of different Mathematics subjects. This article integrates the results of a research project whose theoretical core was the formation and conceptual development in the context of Differential Calculus and Linear Algebra in engineering careers. The research is descriptive and qualitative, supported by the materialistic dialectical method, theoretical modeling, and the structural systemic approach. Four doctoral theses were used to characterize the conceptualization. All these theses used the models as theoretical constructions and served to characterize the essential features such as the relations, formation and conceptual-procedural development. The research obtained the National Prize of Cuba's Academy of Sciences in 2018 for the results of the scientific research. Its results constitute an alternative proposal to the various research strategies of educational mathematicians, as well as a new way to reflect the Didactic of these subject matters.Keywords: Differential Calculus. Linear Algebra. Engineering. Conceptual development

scholarly journals STUDENTS’ REFLECTIVE ABSTRACTION ABILITY ON LINEAR ALGEBRA PROBLEM SOLVING AND RELATIONSHIP WITH PREREQUISITE KNOWLEDGE

2020 ◽  
Vol 10 (1) ◽  
pp. 1
Author(s):  
Rahayu Kariadinata
Keyword(s):  
Problem Solving ◽  
Linear Algebra ◽  
Achievement Level ◽  
Study Program ◽  
Reflective Abstraction ◽  
Education Study ◽  
Structural Awareness ◽  
Prerequisite Knowledge ◽  
The Relationship ◽  
Looking Back

This study aims to describe the achievement of the ability of students' reflective abstraction in solving Linear Algebra problems and the relationship with prerequisite knowledge. The important of this research because the characteristic of Linear Algebra requiring reflectif abstraction skill that must be support by the prerequisite knowledge. The reflective abstraction abilities studied in this study are level, i.e.1) recognition,2) representation, 3) structural abstraction, and 4) structural awareness. These stages are adjusted to Polya's problem solving stages, namely: understanding the problem, devising a plan, carrying out the plan, and looking back. This type of research is descriptive-quantitative. The subjects of this study were students of the Mathematics Education Study Program, Faculty of Tarbiyah and Teacher Training of UIN Sunan Gunung Djati Bandung Indonesia. Collecting data through tests and interviews, data were analyzed with percentage and the pearson product-moment correlation.The results showed that the achievement level  consisiting of ) recognition,2) representation, 3) structural abstraction, and 4) structural awareness of the students’ reflective abstraction abilities on linear algebra problem solving are very good, this can be seen from the percentage achieved at stages of the recognition,the representation,the structural abstraction, and the structural awareness which is associated with Polya problem solving measures above an average of 73,31% (moderat category); there are relationship between students' reflective abstraction abilities and their prerequisite knowledge; and prerequisite knowledge influences the students’reflective abstraction abilities

Sign in / Sign up

Export Citation Format

Share Document