Mathematics Textbook as an Object of Research/Matematički udžbenik kao predmet istraživanja

2014 ◽  
Vol 16 ◽  
Author(s):  
Dubravka Glasnović Gracin
Keyword(s):  
Mathematics Education ◽  
Mathematical Knowledge ◽  
Empirical Studies ◽  
Mathematics Textbooks ◽  
Mathematics Textbook ◽  
Mathematics Book

AbstractA mathematics textbook can be described as an officially authorized and pedagogically designed mathematics book written to provide mathematical knowledge to students. This description suggests the authority of the textbook - because it has been authorized by an administrative source and because it deals with authorized knowledge. This paper provides an overview of research on mathematics textbooks. The emphasis is on questions concerning the extent to which and how textbooks are used in mathematics education in Croatia and in the world.Research results show that mathematics textbooks are widely used in mathematics education worldwide. This finding points to the need for research on the content and structure of textbooks. Such studies are combined with the associated results on how textbooks are used in the classroom and which methods teachers apply in using textbooks in mathematics education. The results of the empirical studies show that teachers use textbooks for lesson preparation and pupils use mathematics textbooks for exercises to a great extent. These results imply that such an important role of textbooks in mathematics education deserves additional attention, with the goal of understanding and improving mathematics education.Key words: mathematics education; overview; research on textbook---SažetakMatematički udžbenik može se opisati kao službeno autorizirana i pedagoki osmiljena matematička knjiga napisana s ciljem da učenicima ponudi matematičke sadržaje. Taj opis sugerira autoritet udžbenika jer ga je autorizirao administrativni izvor i jer sadrži autorizirano znanje. Ovaj članak daje pregled istraživanja matematičkih udžbenika, a naglasak je na pitanjima u kojoj mjeri i kako se udžbenici koriste u nastavi matematike u Hrvatskoj i u svijetu.Rezultati raznih istraživanja pokazuju da se udžbenici u velikoj mjeri koriste u nastavi matematike irom svijeta. Taj nalaz ukazuje na potrebu za istraživanjem sadržaja i strukture matematičkih udžbenika. Uz to, prikazani su rezultati istraživanja o tome na koji se način udžbenici koriste u razredu i koje metode nastavnici prakticiraju prilikom upotrebe udžbenika na nastavi. Rezultati empirijskih studija pokazuju da nastavnici udžbenike većinom koriste za pripremu nastavnog sata, a učenici udžbenike koriste u najvećoj mjeri za vježbanje. Ti rezultati ukazuju na to da tako važna uloga udžbenika u matematičkom obrazovanju zaslužuje dodatnu pažnju s ciljem razumijevanja i poboljanja nastave matematike.Ključne riječi: istraživanje udžbenika; nastava matematike; pregled.

Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education

1992 ◽  
Vol 23 (5) ◽  
pp. 412-431 ◽  
Author(s):  
Michael W. Apple
Keyword(s):  
Mathematics Education ◽  
Educational Reform ◽  
Mathematical Knowledge ◽  
Mathematics Curriculum ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Policy And Practice ◽  
Conservative Movement ◽  
Evaluation Standards

Although NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) and Professional Standards for Teaching Mathematics (1991) are generating considerable interest, there has been little discussion of their ideological and social grounding and effects. By placing the Standards within the growing conservative movement in education, this paper raises a number of crucial issues about the documents, including the depth of the financial crisis in education and its economic and ideological genesis and results; the nature of inequality in schools; the role of mathematical knowledge in our economy in maintaining these inequalities; the possibilities and limitations of a mathematics curriculum that is more grounded in students' experiences; and the complicated realities of teachers' lives. Without a deeper understanding of these issues, the Standards will be used in ways that largely lend support only to the conservative agenda for educational reform.

Mathematics textbook analysis based on the realistic mathematics education theory and some recommendations

2020 ◽  
Vol 65 (7) ◽  
pp. 136-149
Author(s):  
Trung Nguyen Tien ◽  
Thao Trinh Thi Phuong ◽  
Giang Pham Anh
Keyword(s):  
Mathematics Education ◽  
General Education ◽  
Analytical Framework ◽  
Realistic Mathematics Education ◽  
Mathematics Textbooks ◽  
Education Curriculum ◽  
Mathematics Textbook ◽  
General Education Curriculum ◽  
Realistic Mathematics ◽  
Education Theory

Writing and evaluating textbooks under the Vietnam new general education curriculum (2018) is a topic of interest to society as well as researchers. This study aims to evaluate the practical elements in current Mathematics textbooks (according to the previous Mathematics Education Curriculum). In order to conduct research, the author offers two frameworks for analyzing textbooks, basically built on the approach to Realistic Mathematics Education theory (RME). This study found that real contexts, real tasks, historical-cultural images, integrated or interdisciplinary elements are presented quite a lot in current Math textbooks. However, it is also necessary to innovate, update, supply real tasks, and pay attention on the structure and level of real tasks, cultural, historical and integrated elements in the mathematics textbooks in order to implement and develop the new math Mathematics Education Curriculum in Vietnam new general education curriculum. The new textbook analytical framework mentioned in this research can also be used to evaluate the “practicality” of the new mathematics textbooks.

scholarly journals Teaching Units as the Integrating Core of Mathematics Education

2020 ◽  
pp. 25-36
Author(s):  
Erich Christian Wittmann
Keyword(s):  
Mathematics Education ◽  
Teacher Training ◽  
Mathematics Teaching ◽  
Teaching Practice ◽  
Empirical Studies ◽  
Interdisciplinary Field ◽  
The Status ◽  
Psychology Pedagogy ◽  
Didactics Of Mathematics

AbstractHow to integrate mathematics, psychology, pedagogy and practical teaching within the didactics of mathematics in order to get unified specific theories and conceptions of mathematics teaching? This problem—relevant for theoretical and empirical studies in mathematics education as well as for teacher training—is considered in the present paper. The author suggests an approach which is based on teaching units (Unterrichtsbeispiele). Suitable teaching units incorporate mathematical, pedagogical, psychological and practical aspects in a natural way and therefore they are a unique tool for integration. It is the aim of the present paper to describe an approach to bridging the often deplored gap between didactics of mathematics teaching on one hand and teaching practice, mathematics, psychology, and pedagogy on the other hand. In doing so I relate the various aspects of mathematics education to one another. My interest is equally directed to teacher training and to the methodology of research in mathematics education. The structure of the paper is as follows. First I would like to make reference to and characterize an earlier discussion on the status and role of mathematics education; secondly, I will talk about problems of integration which naturally arise when mathematics education is viewed as an interdisciplinary field of study. The fourth and essential section will show how to tackle these problems by means of teaching units. The present approach is based on a certain conception of mathematics teaching which is necessary for appreciating Sect. 4. This conception is therefore explained in Sect. 3.

scholarly journals A Meta-Synthesis Study of Research About Mathematic Textbooks

2020 ◽  
Vol 10 (4) ◽  
pp. 1247-1288
Author(s):  
Tuba Gökçek ◽  
Sedef Çelik
Keyword(s):  
Data Collection ◽  
Descriptive Analysis ◽  
Synthesis Method ◽  
Mathematics Textbooks ◽  
Data Collection Tool ◽  
Mathematics Textbook ◽  
Advanced Search ◽  
Original Classification ◽  
Specific Section

This research aimed to investigate studies examining mathematics textbooks in depth. To this end, specific keywords and criteria were entered into Google’s advanced search engine and the Council of Higher Education national thesis center to obtain articles and theses related to mathematics textbooks. The research investigated a total of 114 studies on mathematics textbooks published between 2005 and 2019. The data obtained were firstly subject to a descriptive analysis. A meta-synthesis method was then used to evaluate the studies included in this research. To analyze the objectives of the studies included in this research, we used the theoretical framework developed by Fan, Zhu and Miao (2013) to create an original classification. Results showed that studies examining opinions on mathematics textbooks (41.00%) were less than studies analyzing mathematics textbook (59.00%). Moreover, surveys were found to be the most frequentlyy used data collection tool in studies collecting opinions on mathematics textbooks, with teachers being the most commonly used participants subject to this data collection method. Additionally, the meta-synthesis analysis indicated that studies analyzing mathematics textbooks generally focused on topics specific to mathematics and on a specific section of a textbook (e.g. activities, problems) whereas those investigating opinions on mathematics textbooks concentrated on studies emphasizing the features of mathematical textbooks and the role of textbooks in learning-teaching.

The Role of Theories of Embodied Cognition in Research and Modeling of Emotions

2019 ◽  
Vol 62 (5) ◽  
pp. 124-138
Author(s):  
Alexandra V. Shiller
Keyword(s):  
Artificial Intelligence ◽  
Embodied Cognition ◽  
Mirror Neurons ◽  
Empirical Studies ◽  
Unknown Quantity ◽  
Emotional Processes ◽  
Strong Artificial Intelligence ◽  
European Philosophy ◽  
Postmodern Philosophy

The article analyzes the role of theories of embodied cognition for the development of emotion research. The role and position of emotions changed as philosophy developed. In classical and modern European philosophy, the idea of the “primacy of reason” prevailed over emotions and physicality, emotions and affective life were described as low-ranking phenomena regarding cognitive processes or were completely eliminated as an unknown quantity. In postmodern philosophy, attention focuses on physicality and sensuality, which are rated higher than rational principle, mind and intelligence. Within the framework of this approach, there is a recently emerged theory of embodied cognition, which allows to take a fresh look at the place of emotions in the architecture of mental processes – thinking, perception, memory, imagination, speech. The article describes and analyzes a number of empirical studies showing the impossibility of excluding emotional processes and the significance of their research for understanding the architecture of embodied cognition. However, the features of the architecture of embodied cognition remain unclear, and some of the discoveries of recent years (mirror neurons or neurons of simulation) rather raise new questions and require further research. The rigorously described and clear architecture of the embodied cognition can grow the theoretical basis that will allow to advance the studies of learning processes, language understanding, psychotherapy techniques, social attitudes and stereotypes, highlight the riddle of consciousness and create new theories of consciousness or even create an anthropomorphic artificial intelligence that is close to “strong artificial intelligence.”

Expectations from Chinese Muslim Converts for Islamization of Society in Malaysia: Lessons from Life of the Companions (Angkaan Pengubahsuaian Cina Islam untuk Pengislaman Soci-ety di Malaysia: Pelajaran dari Kehidupan Para Sahabat)

2019 ◽  
Vol 16 (1) ◽  
pp. 278-296
Author(s):  
Mek Wok Mahmud ◽  
Sayed Sikandar Shah Haneef
Keyword(s):  
Economic Development ◽  
Empirical Studies ◽  
The Self ◽  
Way Of Life ◽  
Socio Economic Development ◽  
Chinese Muslims ◽  
Process Studies ◽  
Divine Guidance

Reversion to Islam while opening golden opportunities for a revert in terms of divine guidance and spiritual salvation is coming with somewhat insurmountable challenges in terms of Islamization of the self, family and contributions to the overall development of Malaysia as a multi-religious country. This is especially so when Islam as an official religion has made the issue of Islamization of the Malaysian society and its systems amongst the pivotal national agendas in the country.  As to what is the role of Chinese Muslims (reverts) in the process, studies, among others, have purported to present the statistics about their share in socio-economic development. Similarly, empirical studies point to the odds faced by this community at personal, family and community levels in their path for transition to the full Islamic way of life. To the presenters of this paper, however, the macro dimension of what it means to become a Muslim which is essential for adjustment to the Islamic requirements has not been sufficiently highlighted in discourses in the area. Accordingly, this paper presents the position statements on Islamic expectations from Chinese reverts with the purpose of motivating them to achieve greater things in the area of Islamization of their community and the nation to the effect. Keywords: Chinese converts, Islamization, expectations and challenges. Abstrak kembalinya seseorang kepada agama Islam selain dari membuka peluang keemasan dalam mendapat  petunjuk Ilahi dan pengisian rohani turut disertai dengan cabaran yang amat sukar untuk diatasi termasuklah cabaran Islamisasi diri, keluarga serta sumbangan kepada pembangunan keseluruhan Malaysia sebagai negara berbilang agama. Hal ini menjadi satu keutamaan terutamanya apabila Islam memegang status sebagai agama rasmi persekutuan yang menjadikan isu Islamisasi masyarakat Malaysia sebagai satu agenda nasional. Bagi menjayakan agenda ini, peranan umat Islam dari kalangan masyarakat Cina (cina muslim) juga perlu diambil kira. Statistik menunjukkan cina muslim turut mempunyai bahagian dalam menyumbang terhadap pembangunan sosio-ekonomi negara. Dalam pada masa yang sama, kajian empirikal membuktikan adanya bentuk bentuk cabaran yang dihadapi oleh komuniti ini di peringkat peribadi, keluarga dan komuniti dalam perjalanan mereka untuk kembali kepada cara hidup Islam yang sepenuhnya. Bagi kami pengkaji kertas ini, dimensi makro dalam menjadikan dan mengertikan  seseorang itu Muslim terutamanya dalam menyesuaikan diri dengan ajaran  Islam masih belum cukup diberi  penjelasan dan penerangan yang sewajarnya. Oleh itu, makalah ini cuba menerangkan idea dan cadangan yang berguna kepada cina muslim dengan tujuan memotivasikan  mereka bagi  mencapai kejayaan  yang lebih besar dari aspek Islamisasi di kalangan komuniti mereka seterusnya memberi sumbangan kepada negara. Kata kunci:  Cina Muslim, Islamisasi, harapan dan cabaran.

Fluid Multilingual Practices among Youth in Cameroon and Mozambique

2020 ◽  
Author(s):  
Torun Reite ◽  
Francis Badiang Oloko ◽  
Manuel Armando Guissemo
Keyword(s):  
Knowledge Production ◽  
Urban Youth ◽  
Social Space ◽  
Empirical Studies ◽  
Theoretical Discussion ◽  
The South ◽  
African Cities ◽  
Social Lives ◽  
The Social

Inspired by recent epistemological and ontological debates aimed at unsettling and reshaping conceptions of language, this essay discusses how mainstream sociolinguistics offers notions meaningful for studying contexts of the South. Based on empirical studies of youth in two African cities, Yaoundé in Cameroon and Maputo in Mozambique, the essay engages with “fluid modernity” and “enregisterment” to unravel the role that fluid multilingual practices play in the social lives of urban youth. The empirically grounded theoretical discussion shows how recent epistemologies and ontologies offer inroads to more pluriversal knowledge production. The essay foregrounds: i) the role of language in the sociopolitical battles of control over resources, and ii) speakers’ reflexivity and metapragmatic awareness of register formations of fluid multilingual practices. Moreover, it shows how bundles of localized meanings construct belongings and counterhegemonic discourses, as well as demonstrating speakers’ differential valuations and perceptions of boundaries and transgressions across social space.

scholarly journals How automated feedback from a digital mathematics textbook affects primary students’ conceptual development: two case studies

ZDM ◽  
2021 ◽  
Author(s):  
Sebastian Rezat
Keyword(s):  
Quantitative Research ◽  
Conceptual Development ◽  
Large Body ◽  
Learning Processes ◽  
Mathematics Textbooks ◽  
School Students ◽  
Mathematics Textbook ◽  
Depth Analysis ◽  
Probability Task ◽  
Automated Feedback

AbstractOne of the most prevalent features of digital mathematics textbooks, compared to traditional ones, is the provision of automated feedback on students’ solutions. Since feedback is regarded as an important factor that influences learning, this is often seen as an affordance of digital mathematics textbooks. While there is a large body of mainly quantitative research on the effectiveness of feedback in general, very little is known about how feedback actually affects students’ individual content specific learning processes and conceptual development. A theoretical framework based on Rabardel’s theory of the instrument and Vergnaud’s theory of conceptual fields is developed to study qualitatively how feedback actually functions in the learning process. This framework was applied in a case study of two elementary school students’ learning processes when working on a probability task from a German 3rd grade digital textbook. The analysis allowed detailed reconstruction of how students made sense of the information provided by the feedback and adjusted their behavior accordingly. This in-depth analysis unveiled that feedback does not necessarily foster conceptual development in the desired way, and a correct solution does not always coincide with conceptual understanding. The results point to some obstacles that students face when working individually on tasks from digital mathematics textbooks with automated feedback, and indicate that feedback needs to be developed in design-based research cycles in order to yield the desired effects.

scholarly journals Relationships between Final Purchasers and Offerors in the Context of Their Perception by Final Purchasers

Energies ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3271
Author(s):  
Agnieszka Izabela Baruk
Keyword(s):  
Factor Analysis ◽  
Statistical Analysis ◽  
World Literature ◽  
Empirical Studies ◽  
Primary Data ◽  
Survey Method ◽  
Chi Square ◽  
Marketing Process ◽  
Research Gap

The aim of this article was to identify the role of good mutual relationships with offerors for final purchasers, as well as define the meaning of the perception of offerors in the scope of listening to purchasers’ opinions and profiting from purchasers’ readiness to cooperate for the specificities of the prosumeric activity. A deep analysis of the world literature was used to prepare the theoretical part of this paper. The results of this analysis confirm the existing cognitive gap and research gap regarding mentioned aspects, including energy market. Empirical studies were conducted to reduce identified gaps. The survey method was used to collect primary data. The collected data were subjected to quantitative analysis, during which statistical analysis methods and tests were applied (Pearson chi-square independence test, V-Cramer factor analysis, Kruskal–Wallis test (KW), and exploratory factor analysis). The results of the statistical analysis and testing allowed the three research hypotheses formulated to be checked. Between the significance of good relationships with offerors and their perception, a statistically significant dependence was identified for all groups of offerors. The perception of offerors was a feature differentiating respondents’ opinions about the significance of good relationships with offerors for the two following groups: producers and traders. Additionally, the perception of offerors was a feature differentiating forms of prosumeric activity of respondents only for three interpurchase behaviors. The results obtained have a visible cognitive and applicability value. They contribute to the theory of marketing, as well as possibly facilitating the formation of good mutual relationships between offerors (including offerors of energy) and final purchasers as key partners cooperating with offerors in the marketing process. The approach presented in this paper has not been studied and analyzed so far, either in theoretical or in practical terms. This fact confirms its originality and value.

Sign in / Sign up

Export Citation Format

Share Document