scholarly journals Analysis of mathematics textbook use: An argument for combining horizontal, vertical, and contextual analyses

2021 ◽  
Vol 1731 ◽  
pp. 012048
Author(s):  
D Rahimah ◽  
J Visnovska
Author(s):  
Douglas Ribeiro Guimarães ◽  
Ana Paula Perovano

ResumoO livro didático como objeto de estudo tem despertado o interesse de pesquisadores na Educação Matemática e, como resultado disso, eventos específicos ou grupos temáticos foram desenvolvidos para atender a essa crescente demanda. Assim, identificar quais focos temáticos sobre livros didáticos de matemática têm emergido nos estudos apresentados na terceira edição da Conferência Internacional em Pesquisa e Desenvolvimento de Livros Didáticos de Matemática foi o objetivo que direcionou nossa investigação. Adotamos uma abordagem qualitativa de pesquisa numa visão interpretativa dos dados e empregamos um mapeamento nos trabalhos publicados na referida conferência. Identificamos quatro categorias temáticas: análise do livro, livro digital, uso do livro e outros, contudo, neste texto, a discussão é destinada às três últimas temáticas. Os dados obtidos nos permitiram ter um panorama de como esse campo de pesquisa vem se desenvolvendo em várias partes do mundo. Diferentes perspectivas teóricas foram apresentadas na conferência e destacamos duas que foram recorrentes: a ideia do tetraedro sociodidático e a Capacidade de Design Pedagógico. No que tange às abordagens metodológicas, é predominante o paradigma da pesquisa qualitativa com o uso de vídeos, entrevistas, observação de aulas, mapeamento, análise de conteúdo e/ou a combinação de alguns desses métodos. Do que levantamos, identificamos que o campo de pesquisas sobre livros didáticos de matemática está evoluindo, ampliando as vertentes teóricas e consolidando alguns dos métodos empregados para análise e produção dos dados. Esperamos contribuir, no sentido de trazer mais elementos que possibilitem a compreensão da produção de conhecimento sobre o livro didático de matemática. Palavras-chave: ICMT. Mapeamento. Uso do Livro Didático. Livro Digital. AbstractThe textbook as an object of study has aroused the interest of researchers in Mathematics Education and, as a result, specific events or thematic groups have been developed to meet this growing demand. Thus, identifying which thematic focuses on mathematics textbooks have emerged in the studies presented in the Third International Conference on Mathematics Textbook Research and Development was the objective that guided our investigation. We adopt a qualitative approach to research in an interpretative view of the data and employ a mapping in the studies published at the referred conference. We identified four thematic categories: textbook analysis, digital textbook, textbook use and others, however, in this article, the focus is given to the last three themes. The data obtained allowed us to have an overview of how this field of research has been developing in various parts of the world. Different theoretical perspectives were presented at the conference and we highlight two that were recurrent: the idea of the socio-didactic tetrahedron and the Pedagogical Design Capacity. With regard to methodological approaches, the paradigm of qualitative research is predominant with the use of videos, interviews, class observation, mapping, content analysis and/or the combination of some of these methods. From what we have found, we identified that the field of research on mathematics textbooks is evolving, expanding the theoretical aspects and consolidating some of the methods used for data analysis and production. We hope to contribute towards bringing more elements that enable the understanding of the production of knowledge about the mathematics textbook. Keywords: ICMT. Mapping. Textbook use; Digital Textbook.


Author(s):  
Dubravka Glasnović Gracin

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.


2018 ◽  
Vol 28 (3) ◽  
pp. 991-996
Author(s):  
Gabriela Kirova

Starting with 2018/2019 school year in Bulgaria, the math education in the third grade is implemented through new training kits. They were developed on the basis of the new third-grade mathematics curriculum, approved by Order No. РД 09-1093 / 25.01.2017 of the Minister of Education and Science, Annex No. 8, supplemented by Order No. РД 09-2555 / 15.06.2018 of the Minister of Education and Science. Training kits are approved by the Ministry of Education and Science and are 7 in total. Geometric learning content in new math textbooks is the second most important element after arithmetic content. It is combined with the arithmetic learning content, and by this the foundation of the successful study of geometry in the next school grades is laid. The new geometry knowledge that is included in the third grade curriculum is the following: straight line, curve, beam, angle, right angle, obtuse angle, acute angle, right triangle, acute triangle, obtuse triangle; naming geometric figures with Latin alphabet letters [11]78. It is important in a modern mathematics textbook to have a rich and varied geometric content. It is important that the new types of geometry tasks are introduced with rich visualization using a specific-inductive approach. The relative number of tasks of a given type is an important prerequisite for the successful formation and improvement of skills for solving geometric problems in pupils at the age of 9-10. This article will present a comparative analysis of the geometric content in the seven approved Bulgarian third-grade mathematics textbooks, which are used in the mass practice of this school year. For the purpose of the study, a classification of all types of tasks and exercises with geometric content has been developed. Then the tasks in the seven textbooks are systematized by the so chosen classification. The data are statistically processed taking into account the relative share of tasks of each type within a textbook, as well as a comparison between the relative shares of the geometric tasks in the different textbooks. The established differences in the number and relative share of different types of geometric tasks make it possible for the analyzed textbooks to be ranked. Such a study has not been published so far. It has a relation to the assessment of the quality of the textbooks offered. The conclusions formulated in this article can help primary teachers in their choice of textbooks to teach to their third grade students.


ZDM ◽  
2021 ◽  
Author(s):  
Sebastian Rezat

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.


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