scholarly journals Some mistakes in solving irrational inequalities in mathematics textbook grade 10

2021 ◽  
Author(s):  
Tjang Daniel Chandra
Keyword(s):  
Mathematics Textbook

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.

COMPARATIVE ANALYSIS OF THE GEOMETRICAL CONTENT IN THE NEW BULGARIAN TEXTBOOKS OF MATHEMATICS FOR THIRD GRADE

2018 ◽  
Vol 28 (3) ◽  
pp. 991-996
Author(s):  
Gabriela Kirova
Keyword(s):  
Comparative Analysis ◽  
Third Grade ◽  
Obtuse Angle ◽  
Curve Beam ◽  
Mathematics Textbook ◽  
The Third ◽  
School Year ◽  
Learning Content ◽  
Relative Share ◽  
Geometric Content

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.

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 Teaching Materials Development and Meeting the Needs of the Subject: A Sample Application

2018 ◽  
Vol 11 (8) ◽  
pp. 27 ◽  
Author(s):  
Abdullah Aydin ◽  
Cahit Aytekin
Keyword(s):  
Teaching Effectiveness ◽  
Real Life ◽  
Teaching Material ◽  
Teaching Materials ◽  
Mathematics Textbook ◽  
Waste Products ◽  
Material Development ◽  
Bridge Model ◽  
Tangent Function ◽  
The Subject

It has been determined that the drawings, photographs and pictures related to the subject of the continuity of the tangent function on page 68 of the Ministry of National Education’s twelfth-grade mathematics textbook contradict principles 1, 7 and 10 of Yanpar’s (2007) teaching material development principles. According to these principles, teaching materials should: i) be simple, plain, and understandable, ii) reflect real life as much as possible, and iii) be easy to develop or revise, if necessary. This study aims to develop a portable tangent bridge model to meet the needs of the subject of the continuity of the tangent function. With this aim: i) teaching with the analogies model in the design of the teaching material, ii) “this is my project” format in the development and iii) Yanpar’s (2007) principles were considered. The design of the model lasted 14 weeks. At the end of the study, a portable tangent bridge model from waste products was designed and developed. This model is thought to contribute to the teaching effectiveness of teachers (Shulman, 1987) with content knowledge alongside with pedagogical knowledge (Shulman, 1986). With this contribution, the needs of the subject as described by Taba (1962) and Tyler (1949) will be met. This model will also serve as an example of meeting the needs of the subjects of knowledge and its product, technology, as highlighted by Cahit Arf (Terzioglu &Yilmaz, 2006).

scholarly journals Number Manipulation Strategy: A Model of Experiential Instruction and Interest in Arithmetic Learning of Pupils of Lower Basic Level in Enugu State, Nigeria

2021 ◽  
Vol 12 (1(V)) ◽  
pp. 19-29
Author(s):  
Sochima Stanislus Unodiaku
Keyword(s):  
Primary Schools ◽  
Mathematics Classroom ◽  
T Test ◽  
Analysis Of Covariance ◽  
Mathematics Textbook ◽  
Research Questions ◽  
Enugu State ◽  
Experiential Instruction ◽  
Level Of Significance ◽  
Manipulation Strategy

The study investigated the efficacy of the number manipulation strategy (NUMAS) as a model of experiential instruction and interest in arithmetic learning for pupils of lower basic levels. The population of the study consisted of 1205 lower basic III level pupils of the 2018/2019 session in Igbo-Etiti Local Government Area (L.G.A.) of Enugu State. A sample of 121 primary five pupils from 4 schools out of 53 primary schools in the study area was randomly sampled. The 121 pupils were composed of 42 males and 79 females used for the study. The study was guided by four research questions and four hypotheses. The hypotheses were tested at a p<.05 level of significance. The instruments used for the study were Arithmetic Test (ART) and Mathematics Interest Inventory Questionnaire (MIIQ) developed by the researcher. The ART and MIIQ instruments were faces validated by experts and their reliability indexes were 0.85 and 0.79 respectively, established using Cronbach alpha and split-half methods respectively. The data obtained with the instruments were analyzed using mean, standard deviations (SD), t-test and analysis of covariance (ANCOVA) statistics. Mean and SD was used in answering the research questions, while t-test and ANCOVA statistics were used in testing the hypotheses at P<.05 level of significance. The findings of the study showed that NUMAS is effective in teaching arithmetic, especially in enhancing the addition and subtraction skills acquisition of the pupils. Gender was found not to be a significant factor of variance in arithmetic achievement when the teaching of arithmetic is NUMAS based. The use of NUMAS was recommended to teachers, lower basic mathematics textbook authors and stakeholders in education, to ensure that NUMAS is adopted and adapted for use in Mathematics classroom instruction and learning.

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