Vernetzung von Sprachen und Darstellungen in einer mehrsprachigen Matheförderung - linguistische und mathematikdidaktische Fallanalysen

Fachsprache ◽  
2018 ◽  
Vol 40 (1-2) ◽  
pp. 2-23 ◽  
Author(s):  
Jonas Wagner ◽  
Taha Kuzu ◽  
Angelika Redder ◽  
Susanne Prediger

The context of our article – relying on investigations of the interdisciplinary research project MuM-Multi on multilingualism in mathematics – consists of bi-/plurilingual learning processes, especially in secondary education. Based on a corpus of five remediating small group classes on fractions with up to five bilingual (Turkish–German) students, it is asked whether and how networks of mathematical representation modes correlate to networks of languages in use. Here we concentrate on Turkish as their home language (forced by teachers) in correlation to German as the common classroom language. By activating their home language, the students may (or may not) benefit with respect to their conceptual understanding of mathematical concepts. The qualitative analyses (considering nonverbal communication, verbal communication and material action) show that the intertwining of languages is due to different approaches in conceptualization and provides a better understanding especially in collective problem-solving constellations and for the consolidation of knowledge.

2021 ◽  
Vol 20 ◽  
pp. 160940692098795
Author(s):  
Casey M. Garvey ◽  
Rachel Jones

Qualitative research proceeds from the position that there is no one observable reality. Researchers utilizing qualitative methods build findings inductively, from raw data to a conceptual understanding. Theoretical frameworks may be utilized to guide qualitative analyses by suggesting concepts and relationships to explore. The framework may provide a sense of the story emerging from the analyses. And concurrently, the rich description provided by the analyses may allow the framework to be more deeply appreciated. However, there is a risk that using a theoretical framework may stifle inductive reasoning or result in findings incongruent to the data. The following is a discussion of the application of a theoretical framework in a qualitative study. This study, guided by the Common-Sense Model, explores the choice to undergo treatment for Hepatitis C Virus among veterans. Examples from the analyses are provided to facilitate discussion on the utilization of a theoretical framework. Techniques to optimize the use of a theoretical framework, as well as mitigate risks of such use, are presented. When utilized alongside rigorous data analyses and introspection, a theoretical framework may serve as a valuable tool to navigate data in qualitative research.


2020 ◽  
Vol 19 ◽  
pp. 160940692096648
Author(s):  
Melissa Beresford ◽  
J. Leah Jones ◽  
Julia C. Bausch ◽  
Clinton F. Williams ◽  
Amber Wutich ◽  
...  

This paper examines the effect of having a third-party scientific expert present in stakeholder interviews. The study was conducted as part of a larger project on stakeholder engagement for natural resource management in the Verde Valley region of Arizona. We employed an experimental design, conducting stakeholder interviews both with and without an identified scientific expert present. Our sample consisted of 12 pairs of interviewees (24 total participants) who we matched based on their occupation, sex, and spatial proximity. For each pair, the scientific expert was present as a third party in one interview and absent in the other. We used a word-based coding strategy to code all interview responses for three known areas of sensitivity among the study population (risk, gatekeeping, and competence). We then performed both quantitative and qualitative analyses to compare responses across the two interview groups. We found that the presence of a scientific expert did not have a statistically significant effect on the mention of sensitive topics among stakeholders. However, our qualitative results show that the presence of a scientific expert had subtle influences on the ways that stakeholders discussed sensitive topics, particularly in placing emphasis on their own credibility and knowledge. Our findings indicate that researchers may be able to pursue collaborative, interdisciplinary research designs with multiple researchers present during interviews without concerns of strongly influencing data elicitation on sensitive topics. However, researchers should be cognizant of the subtle ways in which the presence of a third-party expert may influence the credibility claims and knowledge assertions made by respondents when a third-party expert is present during stakeholder interviews.


Technology has significantly emerged in various fields, including healthcare, government, and education. In the education field, students of all ages and backgrounds turn to modern technologies for learning instead of traditional methods, especially under challenging courses such as mathematics. However, students face many problems in understanding mathematical concepts and understanding how to benefit from them in real-life. Therefore, it can be challenging to design scientific materials suitable for learning mathematics and clarifying their applications in life that meet the students’ preferences. To solve this issue, we designed and developed an interactive platform based on user experience to learn an advanced concept in the idea of linear algebra called Singular Value Decomposition (SVD) and its applicability in image compression. The proposed platform considered the common design principles to map between the provider in terms of clear mathematical explanation and the receiver in terms of matching good user experience. Twenty participants between the ages of 16 and 30 tested the proposed platform. The results showed that learning using it gives better results than learning traditionally in terms of the number of correct and incorrect actions, effectiveness, efficiency, and safety factors. Consequently, we can say that designing an interactive learning platform to explain an advanced mathematical concept and clarify its applications in real-life is preferable by considering and following the common design principles.


Author(s):  
Lia Yulianah ◽  
Khomsatun Ni'mah ◽  
Diar Veni Rahayu

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


2018 ◽  
Vol 16 (1) ◽  
pp. 42-54 ◽  
Author(s):  
Susilahudin Putrawangsa ◽  
Uswatun Hasanah

The recent study intends to describe the roles and the principles of integrating digital technology in education at the 4th Industrial Era. The integrartion is studied from mathematics education perspective. It is concluded that the basic principle of integrating digital technology in mathematics education is that the technology does not diminish students’ conceptual understanding or replace students’ intuitions in doing mathematics. Conversely, the technology is utilized to boost students’ conceptual understanding and maximize the development of students’ intuition in doing mathematics. It is identified that there are three didactical functions of digital technology in mathematics education, such as: (1) Technology for doing mathematics,  that is the technology is incorporated as alternative learning media in doing mathematical activities; (2) Technology for practicing skills, that is the technology is utilized as a learning environment to master particular mathematical skills; (3) Technology for developing conceptual understanding, that is the technology is integrated as a learning environment to develop students’ conceptual understanding of specific mathematical concepts. This last didactical function is the most expected of integrating digital technology in mathematics education.


2020 ◽  
Author(s):  
William Jimenez-Leal ◽  
Samuel Murray ◽  
Santiago Amaya ◽  
Sergio Barbosa

We argue that people regularly encounter situations characterized by the presence of moral conflicts among permissible options. These scenarios, which some have called morally charged situations, reflect perceived tensions between moral expectations and moral rights. Studying responses to such situations marks a departure from the common emphasis on sacrificial dilemmas and widespread use of single-dimension measures. In 6 experiments (n=1607), we show that people use a wide conceptual arsenal when assessing actions that can be described as suberogatory (bad but permissible) or supererogatory (good but not required). In Experiment 1 we find that people freely describe actions as suberogatory or supererogatory. Experiment 2 shows that they differentially assess these actions in terms of how permissible, optional, and good they considered them. Experiment 3 tests the use of these evaluative dimensions with sacrificial dilemmas. We found that differences between these categories did not emerge when people respond to dilemmas, even when controlling for trait utilitarian tendencies. By including judgments of blameworthiness and sanction, Experiments 4 and 5 provided additional evidence of the richness sub/super erogatory evaluations. In Experiment 6 people offered their own explanations of their responses. Qualitative analyses revealed that they frequently appeal to character traits, the presence of rights, and the absence of explicit duties. Taken together these results suggest a richer spectrum of both situations and concepts relevant to characterize moral judgment than moral psychologists up to this point have generally recognized. (First three authors contributed equally)


2019 ◽  
Vol 12 (1) ◽  
pp. 183-197 ◽  
Author(s):  
Kyong-Mi Paek

A growing body of literature addressing the need for educational innovations has also stressed the value of interdisciplinary approaches that incorporate art into teaching and learning. This paper aims to extend educators’ understanding of art–science interactions by presenting an empirical study that explores a unique art residency program created on the campus of a university that specializes in science and technology. The study reviews the art practices of three contemporary artists who participated in a program developed in conjunction with an interdisciplinary research project seeking ways to build an ecologically sustainable community and operated by a renewable energy resource-based economic system. Data that include observations, artist talks, and in-person interviews were collected from multiple sources during the residency to understand the distinguished processes involved in the development of individual art projects. A follow-up cross-case analysis revealed a few notable characteristics: connecting art with life through waste recycling, process-oriented practices highlighting resource circulation, and creating value using bricolage strategies. Regarding educational implications, discussions centered upon the potential transformational space identified from the creative art practices in the context of interdisciplinary research.


2015 ◽  
Vol 11 (4) ◽  
pp. 450-468 ◽  
Author(s):  
Loene M. Howes

Methodologists have urged researchers who use mixed methods to justify their methodological choices and provide greater clarity about the philosophical underpinnings and implications of their approaches. This article outlines the reasoning process undertaken in an endeavor to develop philosophical clarity for an applied, interdisciplinary, mixed methods research project about the communication of scientific evidence in the legal system. I used Greene’s domains of methodology for social inquiry as a framework for addressing reflexive questions about assumptions. Flowing from the domains of values and philosophies, the logic of inquiry was developed before the implications for the integration of findings and reporting of research were outlined. Early engagement in reflexive questioning provided a foundation for methodological refinement throughout the ongoing research journey.


Author(s):  
Jesus Trespalacios ◽  
Karen Trujillo ◽  
Lida J. Uribe-Flórez

Multimedia animations offer students the context required to apply mathematical concepts to support their understanding. This chapter shares information about the NSF-funded Math Snacks, short animations designed to target specific math concepts that students may find difficult, including ratio and proportion. Additionally, the authors offer research-based guidelines for integrating these animations in the math classroom in a way that supports the Standards for Mathematical Practice. The chapter concludes with an introduction to the support materials available at www.mathsnacks.org for teachers who wish to use animations to support the Common Core State Standard for Mathematics in the middle grades.


Sign in / Sign up

Export Citation Format

Share Document