Students' Early Mathematical Representation Knowledge: The Effects of Emphasizing Single or Multiple Perspectives of the Rational Number Domain in Problem Solving

2005 ◽  
Vol 60 (1) ◽  
pp. 37-69 ◽  
Author(s):  
Bryan Moseley
Keyword(s):  
Problem Solving ◽  
Rational Number ◽  
Mathematical Representation ◽  
Multiple Perspectives

ANALYSIS OF NARRATIVE MATHEMATICAL QUESTIONS ON TEXTBOOKS BASED ON SOLO TAXONOMY AND MATHEMATICAL POWER

2017 ◽  
Vol 5 (3) ◽  
pp. 299
Author(s):  
Imam Kusmaryono
Keyword(s):  
Problem Solving ◽  
Grade Level ◽  
Mathematical Representation ◽  
Structural Level ◽  
Mathematics Textbooks ◽  
Solo Taxonomy ◽  
Research Procedure ◽  
Quantitative Descriptive ◽  
The Ideal

This study aimed to identify the proportion of diversity and suitability of narrative mathematical questions with SOLO taxonomy level and mathematical power ability. The research was conducted through quantitative descriptive. Sources of data in the forms of narrations contained in mathematics textbooks. The research procedure was conducted by making the classification and determining the percentage of the narrations based on the compatibility of SOLO taxonomy and the mathematical power ability. The results showed that, the narrative mathematical questions with uni-structural level are of 7.5%, multi-structural of 33.8%, relational of 46.6% and extended abstract of 12.1 %. In terms of compatibility of the narrative  questions were able to measure 23% reasoning aspect, 18% problem solving, 8.3% connection, 28% communication and 22.6% mathematical representation. In general, mathematics textbooks as the object of research should be revised, since they have not yet achieved the ideal alignment between SOLO taxonomy based on grade level and the objective of learning develop mathematical power

scholarly journals Analisis Kemampuan Pemahaman Konsep Matematika Siswa Berbantuan Media Schoology

2020 ◽  
Vol 7 (1) ◽  
pp. 39-45
Author(s):  
Lia Yulianah ◽  
Khomsatun Ni'mah ◽  
Diar Veni Rahayu
Keyword(s):  
Problem Solving ◽  
Data Collection ◽  
Qualitative Methods ◽  
Mathematical Representation ◽  
Research Subjects ◽  
Mathematical Concepts ◽  
Purposive Sampling ◽  
Descriptive Approach ◽  
Media Research ◽  
The Relationship

The purpose of this study was to examine the mathematical concepts of students in solving the problem of polyhedron of cubes and cuboids with assisted of Schoology media. This research uses qualitative methods with descriptive approach. This study describes the ability to understand mathematical concepts that owned of students with Schoology media. Research subjects is three students selected by purposive sampling based on conditions and situations that occured during the current co-19 pandemic. The data collection used consists of tests of understanding the ability of mathematical concepts. Based on the results of research showed that the ability to understanding students' of mathematical concepts with Schoology-assisted able to provide understanding of material polyhedron of cubes and cuboids by the average results of students getting value 91,67. Where the first student is able to reach an understanding indicator of mathematical concepts from given by agreeing to the concept, classifying objects according to certain properties, giving concepts in various forms of mathematical representation, explaining the relationship between one concept with another concept, and applying the concept in problem solving . While the second and third students can only reach four indicators from the second indicator given. Nevertheless, students show positive responses to Schoology media. Keywords: Understanding Mathematical Concepts, Schoology Media

scholarly journals ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS SISWA DALAM MENYELESAIKAN SOAL PEMECAHAN MASALAH MATEMATIKA

Ta dib ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 19
Author(s):  
Ummul Huda ◽  
Edwin Musdi ◽  
Nola Nari
Keyword(s):  
Problem Solving ◽  
Quantitative Data ◽  
Qualitative Data ◽  
Mathematical Problem ◽  
Field Research ◽  
Mathematical Representation ◽  
Mathematical Problem Solving ◽  
Test Results ◽  
Interview Guide ◽  
Descriptive Method

This research is motivated by the low mathematical representation ability of students in solving mathematical problem solving questions based on TIMSS data and facts in the field. The study aims to analyze the mathematical representation ability of MTsN Batusangkar students visually, verbally and symbolically in solving mathematical problem solving problems. This field research uses descriptive method. The instrument used is a description question and interview guide. Quantitative data based on test results were analyzed to determine the predicate of mathematical representation ability, while Miles and Huberman model wwas used to analyze qualitative data from interviews. The results show that students' mathematical visual and symbolic abilities are satisfactory, while verbal mathematical representations are less satisfactory.

Using Metacognitive Strategies in the STEM Field

2017 ◽  
pp. 216-230 ◽  
Author(s):  
Gina J. Mariano ◽  
Fred J. Figliano ◽  
Autumn Dozier
Keyword(s):  
Academic Performance ◽  
Critical Thinking ◽  
Problem Solving ◽  
Student Learning ◽  
Learning Outcomes ◽  
Metacognitive Strategies ◽  
Multiple Perspectives ◽  
Learning Techniques

Too often, we teach students what to think but not how to think. This quote embodies the concept of metacognition and its importance to student learning. Students frequently do not use learning techniques to truly learn information and develop long-term understanding of the curriculum at hand. Instead they memorize information for exams without understanding the depth of what they have studied. This in turn can create a pseudo-understanding of the curriculum. The metacognitive strategies we teach students allow them to become good learners. In this chapter we discuss the relationships between metacognition and critical thinking, problem solving, motivation, and academic performance. Specifically, the STEM area of mathematics is discussed. The chapter brings together multiple perspectives on metacognition and the importance of engaging students in metacognitive activities and strategies to improve learning outcomes.

‘The view from above’: a theory of comparative philosophy

2019 ◽  
Vol 56 (1) ◽  
pp. 32-48
Author(s):  
JESSICA FRAZIER
Keyword(s):  
Problem Solving ◽  
Comparative Philosophy ◽  
Multiple Perspectives ◽  
Ways Of Thinking

AbstractWhat if doing philosophy across cultures is always implicitly a matter of metaphilosophy – of articulating more clearly the nature of philosophy itself? What if it forces us to ‘stand back’ hermeneutically and map out a ‘view from above’ of the underlying fabric of ideas – in their constitutive concepts, their relations to other ways of thinking, and their potential to be configured in alternative fascinating and fruitful ways?This article incorporates existing approaches to comparative philosophy within a single scheme of complementary philosophical activities, and a single overarching metaphilosophical project. These approaches are (1) ‘archival’ (exploring parallel but separate philosophical traditions), (2) ‘equivalentist’ (comparing traditions in terms of analogies and contrasts), and (3) ‘problem-solving’ (using multiple traditions to provide philosophical solutions). I situate these within (4) the overarching hermeneutic project of ‘mapping’ concepts and their possibilities. This entails the theory that philosophies drawing on multiple perspectives are always implicitly engaged in mapping out the underlying eidetic structure upon which philosophy does its work, and charting the conceptual possibilities surrounding any idea.

scholarly journals Analisis Kemampuan Pemahaman Konsep Matematis Peserta Didik Ditijau Dari Adversity Quotient

2020 ◽  
Vol 10 (1) ◽  
pp. 43-60
Author(s):  
Isnaini Handayani ◽  
Afifah Fitria Ramadhani
Keyword(s):  
High School ◽  
Qualitative Research ◽  
Problem Solving ◽  
Conceptual Understanding ◽  
Natural Science ◽  
Second Grade ◽  
Mathematical Representation ◽  
Science Major ◽  
Descriptive Qualitative

This study aims to analyze students’ mathematical conceptual understanding ability based on their adversity quotient. The indicators of mathematical conceptual understanding in this study are (1) to restate a concept, (2) classifying objects by their properties, (3) giving an examples and counter examples, (4) presenting concepts into various mathematical representation, (5) to use and choose the procedure properly, (6) applying a concept or algorithm in problem solving and (7) to develop the sufficient requirements of a concept. There are three types of adversity quotients in this study are quitter, camper, and climber. This is a descriptive qualitative research. The Subjects in this study were 106 people of natural science major, in second grade of high school in Jakarta.  The instrument used was the test of mathematical conseptual understanding ability and adversity quotient questionaire. Data were analyzed by reducing data, presenting the data and making the conclusions. Based on the study, there are two students with quitter types, 60 students with camper types, and 44 students with climber types. This Research indicates that the mathematical conceptual understanding ability is moderate category and the type of students’ adversity quotient is classified as camper.

scholarly journals RELATIONSHIP BETWEEN STATISTICAL LITERACY AND MATHEMATICAL REPRESENTATION OF STUDENTS THROUGH COLLABORATIVE PROBLEM SOLVING MODEL

2020 ◽  
Vol 9 (2) ◽  
pp. 183
Author(s):  
Johannis Takaria ◽  
Wahyudin Wahyudin ◽  
Jozua Sabandar ◽  
Jarnawi Afgani Dahlan
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
School Teacher ◽  
Learning Model ◽  
Collaborative Problem Solving ◽  
Mathematical Representation ◽  
Statistical Literacy ◽  
Study Program ◽  
Collaborative Problem ◽  
The Relationship

The purpose of this study was to find out the relationship between statistical literacy and mathematical representation of students as pre-service elementary school teachers through the Collaborative Problem Solving (CPS) model. The relationship between statistical literacy and mathematical representation was analyzed by using a product-moment correlation with a sample of 35 students of Elementary School Teacher Education Study Program at one of the state universities in Ambon City. The results showed that there was a positive and strong relationship between statistical literacy and mathematical representation with a correlation value of 0.66. This relationship means that if students have good mathematical representation abilities, statistical literacy abilities are also getting better. Exploration of statistical literacy and mathematical representation abilities can be facilitated by using The CPS learning model. The CPS learning model can facilitate student learning as a structure in mathematical thinking so that statistical literacy and mathematical representation abilities of students can be explored through the transformation of ideas among students. The CPS learning model aspects were implemented in high and very high categories while the indicators were at rating-2 and rating-3.

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