Reflections on Language and Mathematics Problem Solving: A Case Study of a Bilingual First-Grade Teacher1

2009 ◽  
Vol 32 (1) ◽  
pp. 25-41 ◽  
Author(s):  
Sandra I. Musanti ◽  
Sylvia Celedón-Pattichis ◽  
Mary E. Marshall
Keyword(s):  
Problem Solving ◽  
First Grade ◽  
Mathematics Problem Solving ◽  
Language And Mathematics ◽  
And Mathematics ◽  
Mathematics Problem

scholarly journals Nature of metacognition in a dynamic geometry environment

2015 ◽  
Vol 3 (5) ◽  
pp. 627-646
Author(s):  
Ana Kuzle
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Dynamic Geometry Environment ◽  
Mathematics Problem Solving ◽  
Managerial Decisions ◽  
Metacognitive Processes ◽  
Geometry Problem ◽  
Mathematics Problem

This case study examined the metacognitive processes of a preservice teacher when solving a nonroutine geometry problem in a dynamic geometry environment. The main purpose of the study was to uncover and investigate patterns of metacognitive processes and to understand what circumstances, situations, and interactions in a dynamic geometry environment promoted metacognitive behaviors. An adaptation of Schoenfeld’s (1981) model of episodes and executive decisions in mathematics problem solving, and the theory of instrumentation (Rabardel, 2001) was used to identify patterns of metacognitive processes in a dynamic geometry environment. During different phases of problem solving the participant engaged in different metacognitive behaviors whereas the dynamic geometry software supported strategies that are available and/or not available on paper and pen. The effectiveness of solution paths was dependent on the presence of managerial decisions, and well-orchestrated usage of different resources, both knowledge and technology. However, the results of the study call to question to which extent engagement in metacognitive behaviors is necessarily desirable or productive.

scholarly journals EL DOMINIO AFECTIVO EN LA RESOLUCIÓN DE PROBLEMAS MATEMÁTICOS: UNA JERARQUIZACIÓN DE SUS DESCRIPTORES

2017 ◽  
Vol 7 (1) ◽  
pp. 233 ◽  
Author(s):  
Ana Caballero Carrasco ◽  
Janeth Cárdenas Lizarazo ◽  
Rosa Gómez del Amo
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Affective Domain ◽  
Problem Solver ◽  
Clear Definition ◽  
Persistent Problem ◽  
Mathematics Problem Solving ◽  
And Mathematics ◽  
Definition Of ◽  
Mathematics Problem

Abstract.THE AFFECTIVE DOMAIN IN MATHEMATICS PROBLEM SOLVING: A HIERARCHY OF DESCRIPTORSAt present the relevance of the affective domain in the learning and personal development and, specifically, in mathematics and mathematics problem solving (MPS) is observed. However, as Gómez- Chacón ( 2000) suggests, a persistent problem in the understanding of affect in the teaching and learning of mathematics has been to find a clear definition of what is affection or the affective domain. That is why the aim of this paper is to provide a clear definition of the affective domain in mathematics and MPS as well as identify and rank the descriptors or dimensions that comprise this construct: attitudes (mathematics and toward mathematics) , emotions (emphasis in anxiety as the most influential in the MPS) and beliefs ( about the nature and the teaching and learning of mathematics and MPS, about the social context and about self as problem solver. As a innovative aspect, further elucidate the discussion between consider the anxiety as an emotion or attitude, we include generalized control expectations (contingency, helplessness, belief in luck, self-efficacy and success) in beliefs about oneself as a mathematic learner and mathematics problems solver..Keywords: affective domain; mathematics problema solving; beliefs; attitudes; emotions.Resumen.En la actualidad queda constatada la relevancia que tiene el dominio afectivo en el desarrollo y en el aprendizaje de las personas y, de forma concreta, en las matemáticas y la resolución de problemas matemáticos (RPM). No obstante, tal como indica Gómez-Chacón (2000), un problema persistente en la comprensión del afecto en la enseñanza y aprendizaje de las matemáticas ha sido encontrar una definición clara de qué es el afecto o el dominio afectivo. Es por ello que el objetivo de este trabajo es ofrecer una definición clara del dominio afectivo en las matemáticas y RPM así como también determinar y jerarquizar los descriptores o dimensiones que componen este constructo: actitudes (matemáticas y hacia las matemáticas), emociones (haciendo hincapié en la ansiedad como la más influyente en la RPM) y creencias (sobre la naturaleza y la enseñanza y aprendizaje de las matemáticas y la RPM, sobre el contexto social y sobre uno mismo como resolutor de problemas). Como aspecto innovador, además de dilucidar la discusión entre considerar la ansiedad como actitud o como emoción, incluimos las expectativas generalizadas de control (de contingencia, de indefensión, de creencia en la suerte, de autoeficacia y de éxito) dentro de las creencias sobre uno mismo como aprendiz matemático y resolutor de problemas matemáticos.Palabras claves: dominio afectivo; resolución de problemas matemáticos; creencias; actitudes; emociones.

scholarly journals Pengaruh Model Pembelajaran Learning Cycle 5E terhadap Kemampuan Pemecahan Masalah Matematika Ditinjau dari Adversity Quotient Siswa

2020 ◽  
Vol 7 (1) ◽  
pp. 32-44
Author(s):  
Abdul Ma'arif ◽  
Syaiful Syaiful ◽  
Muhammad Haris Effendi Hasibuan
Keyword(s):  
Problem Solving ◽  
Learning Cycle ◽  
Cycle Model ◽  
Problem Solving Skills ◽  
Mathematics Problem Solving ◽  
8Th Grade ◽  
Post Test ◽  
Quasi Experimental ◽  
And Mathematics ◽  
Mathematics Problem

Problem-solving skill is required by students and a target in studying mathematics. However, the problem-solving skill of Indonesian students are lacking. One effort that can be done is applying the Model of Learning Cycle 5E.  This research discussed the influence of the implementation of the learning cycle model on mathematics problem-solving skill viewed from students’ adversity quotient. This research used a quantitive approach, quasi-experimental study. The subjects were the 8th Grade students of SMP IT Ash-Shiddiiqi Jambi, consisting of two experiment classes and one control class. The instruments were post-test and adversity quotient questionnaire modified by Stoltz and had been validated by experts. Data analysis was conducted by Two-Way ANOVA. The results showed that there was no interaction between the learning cycle 5E model and mathematics problem-solving skill. This finding indicates that the model of learning cycle 5E affects problem-solving skills and can be applied to students with all types of adversity quotient.

scholarly journals Pengaruh Metode Pembelajaran Inkuiri dan Diskusi pada Materi Pokok Bentuk Aljabar terhadap Kemampuan Komunikasi dan Kemampuan Pemecahan Masalah Matematika

2017 ◽  
Vol 2 (2) ◽  
pp. 159
Author(s):  
Ali Sadikin Wear ◽  
Renny Indrawati
Keyword(s):  
Problem Solving ◽  
Control Group ◽  
Learning Method ◽  
Control Group Design ◽  
Problem Solving Skills ◽  
Mathematics Problem Solving ◽  
Equivalent Control ◽  
Communication Ability ◽  
And Mathematics ◽  
Mathematics Problem

<pre><em><span lang="EN-US">The research is aimed to know; 1) interaction of inquiry learning  method application and discussion on communication ability and student’s mathematics  problem solving skills on multivariate. 2) the impacts of learning method on mathematics communication ability on univariat.3) the impacts of learning method on mathematics problem solving skills on univariat. This research is false experiment used non equivalent control group design with 2 factors  measurement technique. The instrument is essay test (problem solving and communication question). This research was conducted at public SMP in Palmerah distric, west Jakarta. The sample is the students of class VIII about 140 students. Data analyze used MANOVA analysis. The result of this research is: 1) there are significant impacts of learning method on communication ability and mathematics problem solving skills on multivariate. 2) there are significant impacts of learning method on mathematics communication ability on univariat 3) there isn’t significant impact of learning method on mathematics problem solving skill.</span></em></pre>

scholarly journals DEAF STUDENT AND MENTAL ACT IN MATHEMATICS PROBLEM SOLVING

2020 ◽  
Vol 2 (1) ◽  
pp. 100-110
Author(s):  
La Ode Amril ◽  
Darhim ◽  
Dadang Juandi
Keyword(s):  
Problem Solving ◽  
Solution Method ◽  
Deaf Students ◽  
Special Schools ◽  
Design Data ◽  
Mathematics Problem Solving ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
Mathematics Problem

Mathematics has an important role in the cognitive development of deaf students. Through learning mathematics in schools, deaf students will explore and build knowledge, because literally mathematics is the parent of knowledge and human activities. One important aspect in learning mathematics is the ability to solve problems. Problem solving means engaging in a task for which the solution method is not known in advance. In order to find a solution, students must draw on their knowledge, and through this process, they will often develop new mathematical understandings.This study aims to analyze the mental act of deaf students in solving mathematical problems in fraction material. Respondents of 20 students were randomly selected from 3 special schools. This type of research is qualitative with a case study design. Data was collected through the instrument of problem solving abilities, interviews, and observations. Data were analyzed using grouded theory. The results of this study indicate that the mental act used by deaf students in solving mathematical problems is interpreting, explaining, inferring, and problem solving.

scholarly journals How did you solve it? – Teachers’ approaches to guiding mathematics problem solving

2018 ◽  
Vol 6 (1) ◽  
Author(s):  
Aura Kojo ◽  
Anu Laine ◽  
Liisa Näveri
Keyword(s):  
Problem Solving ◽  
Learning Theory ◽  
Mathematical Problem ◽  
Constructive Learning ◽  
Mathematics Problem Solving ◽  
Solution Strategies ◽  
Conclusion Section ◽  
Mathematics Problem ◽  
Reason Problem

This case study focuses on teachers’ actions during problem-solving lessons. The aim of this study was to find out how teachers guide students during mathematics problem-solving lessons: What kinds of questions do teachers ask? How do students arrive at solutions to problems? The dataset contained videotaped fourth-grade math lessons in which students solved a mathematical problem. The research reveals that teachers can guide students in numerous ways and possibly in ways that prevent students from searching for their own solution strategies. For this reason, problem-solving exercises alone are not sufficient for teaching students problem solving, as teachers must also be instructed in how to properly guide students. In the conclusion section, we discuss the types of questions that enable teachers to promote active learning in students, which should be the goal of instruction according to the constructive learning theory.

Kemampuan Pemecahan Masalah dan Kemampuan Komunikasi Matematika Siswa

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Ihwan Zulkarnain
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Learning Model ◽  
Model Type ◽  
Mathematics Problem Solving ◽  
Experiment Method ◽  
And Mathematics ◽  
The Given ◽  
Student Team ◽  
Mathematics Problem

<p>This research is aimed to analyze the influence of cooperative learning model <br />toward the ability of problem solving in Mathematics and students’ ability in <br />Mathematics communication. This research uses experiment method. Data analysis uses MANOVA (Multivariate Analysis of Variants). Result shows that: there is influence of cooperative learning model to the ability of Mathematics problem solving and the ability of Mathematics communication multivariately. This shows that there is difference between matrices of ability of Mathematics problem solving and Mathematics communication to the given cooperative learning model type STAD (Student Team Achievement Division) and type TPS (think, pair, share). (2) by univariate, the result shows: (a) there is no difference in the ability of Mathematics problem solving to those <br />who were given cooperative learning model type STAD and type TPS. This indicates the influence cooperative learning model to the ability of students’ Mathematics problem solving. (b) there is difference in terms of students’ ability of Mathematics communication to who were given cooperative learning model type STAD with type TPS. This shows that there is an influence of cooperative learning model to the ability of Mathematics communication. <br /> <br />Keywords: Problem Solving, Mathematics Communication, Learning Model, STAD, TPS.</p>

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