Relevant bibliographies by topics / Mathematics – Stady and teaching

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mathematics – Stady and teaching'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

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Journal articles on the topic "Mathematics – Stady and teaching"

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Karamyshev, Anton N., and Zhanna I. Zaytseva. "“MATHEMATICA” IN TEACHING STUDENTS MATHEMATICS." Práxis Educacional 15, no. 36 (December 4, 2019): 610. http://dx.doi.org/10.22481/praxisedu.v15i36.5937.

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The relevance of the topic of the article is due to the process of modernization of higher mathematical education in Russia, which has led to a significant change in curricula and the need to look for ways and forms of training that would allow students to learn the necessary material within the time granted for studying, while obtaining the maximum necessary amount of skills, knowledge, and competencies. The objective of the article is to justify the ways and principles of the development and implementation of new pedagogical and information technologies in the educational process, the organization of professional education of students in technical areas based on the integration of mathematics and computer science. The leading method of the study of this problem is the methodological analysis and subsequent synthesis, which, by analyzing the didactic content of the sections in mathematics and the possibilities of the computer mathematical environment called Mathematica, reveals the necessary methods and ways of developing and using modern computer technologies in the mathematical education of engineering students. It is proved that one of the main tools for implementing the methods for solving the indicated problem should be considered a computer, namely, the mathematical environment called Mathematica, and the basic principles of its systemic implementation in the educational process of the university have been identified. The materials of the article may be useful to teachers of mathematical disciplines of higher educational institutions, the computer programs and pedagogical software products created in Mathematica can serve as models for the development of similar pedagogical software products.
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Helsa, Yullys, Darhim Darhim, Dadang Juandi, and Turmudi Turmudi. "BLENDED LEARNING IN TEACHING MATHEMATICS." AKSIOMA: Jurnal Program Studi Pendidikan Matematika 10, no. 2 (July 7, 2021): 733. http://dx.doi.org/10.24127/ajpm.v10i2.3447.

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The background of this research was the development of blended learning in teaching mathematics. This study aimed to determine the benefits of blended learning in teaching mathematics by analyzing previous research. The method in this study is a systematic literature review (SLR), it descriptive based survey in the form of an analysis of 25 articles from the Science Direct database in the 2010-2020 period. The results showed that there are many benefits of blended learning in mathematic, which includes: to improve mathematical thinking skills, develop good perceptions, improve learning outcomes, increase self-regulation, increase thinking/problem-solving skills, improve communication skills, increase student participation, simplify the assessment process, increase computational thinking skills, and critical thinking skills. The most significant benefit of blended learning is student learning outcomes, shown in 52% of the articles. The research implies the importance of supporting teachers in identifying the objectives of blended learning.
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Azlan, Noor Akmar, and Mohd Faizal Nizam Lee Abdullah. "Komunikasi matematik : Penyelesaian masalah dalam pengajaran dan pembelajaran matematik." Jurnal Pendidikan Sains Dan Matematik Malaysia 7, no. 1 (April 27, 2017): 16–31. http://dx.doi.org/10.37134/jsspj.vol7.no1.2.2017.

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Based on the study of mathematic problems created by Clements in 1970 and 1983 in Penang, it was found that students in Malaysia do not have a problem of serious thought. However, the real problem is related to read, understand and make the right transformation when solving mathematical problems, especially those involving mathematical word problem solving. Communication is one of the important elements in the process of solving problems that occur in the teaching and learning of mathematics. Students have the opportunities to engage in mathematic communication such as reading, writing and listening and at least have two advantages of two different aspects of communication which are to study mathematics and learn to communicate mathematically. Most researchers in the field of mathematics education agreed, mathematics should at least be studied through the mail conversation. The main objective of this study is the is to examine whether differences level of questions based on Bloom’s Taxonomy affect the level of communication activity between students and teachers in the classroom. In this study, researchers wanted to see the level of questions which occur with active communication and if not occur what is the proper strategy should taken by teachers to promote the effective communication, engaging study a group of level 4 with learning disabilities at a secondary school in Seremban that perform mathematical tasks that are available. The study using a qualitative approach, in particular sign an observation using video as the primary method. Field notes will also be recorded and the results of student work will be taken into account to complete the data recorded video. Video data are primary data for this study. Analysis model by Powell et al., (2013) will was used to analyze recorded video. Milestones and critical during this study will be fully taken into account.
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Lu, Lianfang. "IMPLEMENTING MATHEMATICS TEACHING REFORM." International Journal for Innovation Education and Research 4, no. 6 (June 30, 2016): 33–40. http://dx.doi.org/10.31686/ijier.vol4.iss6.554.

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This study describes the implementation of teaching reform in secondary mathematics classrooms in a rural poverty school in southwest China where a school-wide teaching experiment took place. Classroom teaching and learning practices are primarily concerned with classroom organizations, interactions and social norms. The results indicate that a collective learning approach was taken in the classroom reform, in which mathematical communications, understanding and engagement of students in learning were promoted. However, there was a lack of diversity of thinking and arguments on solving problems among different level students, which implies the mathematical teaching still focuses on acquiring knowledge over generating knowledge.
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Liu, Xiu Hong. "Study on College Mathematics Education and Teaching Strategies." Advanced Materials Research 403-408 (November 2011): 1648–51. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.1648.

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In order to improve the quality of college mathematic education, cultivating rational thinking of people, and improving the quality of nation, this paper make a comprehensive and systematic survey and analysis on college mathematic education. Results show that the team-constructer and quality of students in university have been changed, and it is not optimistic for mathematic learning of students. For the above problems, it is important and necessary to adjust the teaching content, improving teaching methods and means, promoting the cultural ideas and history of mathematics, and show humanistic concern to students.
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Frank, Toya Jones. "Teaching our kids." Journal for Multicultural Education 12, no. 2 (June 11, 2018): 144–60. http://dx.doi.org/10.1108/jme-04-2017-0025.

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PurposeThis study aims to highlight the perspectives of one black male middle-school mathematics teacher, Chris Andrews, about developing black students’ positive mathematics identities during his first year of teaching middle-school mathematics in a predominately black school. The author’s and Chris Andrews’ shared experiences as black Americans opened the door to candid conversations regarding the racialized mathematical experiences of “our” children, as he referred to them during the interviews.Design/methodology/approachThe author used case study methodology (Yin, 2009) to illuminate Chris’s salient academic and personal experiences, approaches to teaching mathematics and ways that he attended to mathematics identity in practice. The author used sociopolitical and intersectional theoretical framings to interpret the data.FindingsChris’s perspective on teaching mathematics and developing mathematics identity aligned with taking a sociopolitical stance for teaching and learning mathematics. He understood how oppression influenced his black students’ opportunities to learn. Chris believed teaching mathematics to black children was his moral and communal responsibility. However, Chris’s case is one of tensions, as he often espoused deficit perspectives about his students’ lack of motivation and mathematical achievement. Chris’s case illustrates that even when black teachers and black students share cultural referents; black teachers are not immune to the pervasive deficit-oriented theories regarding black students’ mathematics achievement.Research limitations/implicationsThe findings of this work warrant the need to take intersectional approaches to understanding the ways of knowing that black male teachers bring to their practice, as Chris’s identity as a black person was an interplay between his black identity and other salient identities related to ability and social class.Practical implicationsChris, even while navigating deficit-oriented perceptions of his students, provides an example of bringing a sociopolitical consciousness to teaching mathematics and to support novice black male teachers in their content, pedagogical, and dispositional development.Originality/valueThis work adds to the limited body of literature that highlights the experiences of black teachers in a subject-specific context, particularly in science, technology, engineering, and mathematics (STEM) subject areas that have historically marginalized the participation of black people.
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Boshanqyzy, Zhanys Aray, and Nurkasymova Saule Nurkasymovna. "NEW TEACHING MATHEMATICS TEACHING EFFECTIVENESS OF THE USE OF INFORMATION AND COMMUNICATION TECHNOLOGIES." International Journal of Research -GRANTHAALAYAH 5, no. 1 (January 31, 2017): 214–29. http://dx.doi.org/10.29121/granthaalayah.v5.i1.2017.1885.

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The possibilities of computer technologies in improving the quality of teaching mathematics and its application in the 7th grade students studied the impact on the development of mathematical thinking. Teachers and pupils kanşalıktı methodology to apply this technology meñgergendikteri tested and determined to improve the methods of teaching mathematics in the scientific literature of the main ideas, 7th grade, based on the best practices in the teaching of mathematics and taking into account the requirements set by the company's mastery of mathematical concepts and rules and reports identified the role of the computer in teaching and service, including through the effective use of the computer are determined based on the study of the material should be studied.
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杨, 进霞. "A Study of Embedding Mathematical Culture in Advanced Mathematics Teaching." Creative Education Studies 08, no. 05 (2020): 660–64. http://dx.doi.org/10.12677/ces.2020.85107.

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Thompson, Denisse R. "Connecting Research to Teaching: Learning and Teaching Indirect Proof." Mathematics Teacher 89, no. 6 (September 1996): 474–82. http://dx.doi.org/10.5951/mt.89.6.0474.

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Proof! It is the heart of mathematics as individuals explore, make conjectures, and try to convince themselves and others about the truth or falsity of their conjecture. In fact, proving is one of the main aspects of mathematical behavior and “most clearly distinguishes mathematical behavior from scientific behavior in other disciplines” (Dreyfus et al. 1990, 126). By its nature, proof should promote understanding and thus should be an important part of the curriculum (Hanna 1995). Yet students and teachers often find the study of proof difficult, and a debate within mathematics education is currently underway about the extent to which formal proof should play a role in geometry, the content domain in which reasoning is typically studied at an intensive level (Battista and Clements 1995).
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Biza, Irene, and Elena Nardi. "Scripting the experience of mathematics teaching." International Journal for Lesson and Learning Studies 9, no. 1 (November 15, 2019): 43–56. http://dx.doi.org/10.1108/ijlls-02-2019-0017.

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Purpose The purpose of this paper is to propose and evaluate a proactive reflective activity for mathematics student teachers in which they consider mathematical content and its teaching in highly specific classroom situations. Design/methodology/approach The study was conducted in context of a mathematics Initial Teacher Education programme in the UK. Participants were invited from the whole cohort of student teachers to identify, script and reflect upon critical classroom incidents. In total, 12 such scripts were produced and then discussed by 17 student teachers in group and plenary sessions. Discussions were audio-recorded. Scripts and discussions were analysed according to four characteristics: consistency between stated pedagogical priorities and intended practices; specificity of the reflection to the classroom situation reported in the scripts; reification of pedagogical discourse; and, reification of mathematical discourse. Findings In the results, the authors exemplify student teachers’ insights that emerged from the analysis of the scripts through the typology of the four characteristics, and the authors observe that the student teachers’ insights mirror the complexity and richness of the mathematics classrooms they face. The authors’ examples and their evaluation through the aforementioned typology of the four characteristics illustrate the potency of student teachers’ participation in producing, and reflecting upon, individually and collectively, critical incidents of their inaugural experiences in the classroom. Practical implications As these activities take placein the context of teacher education, professional development or developmental research environments, an additional challenge is to generate robust and informative evaluation of teachers’ engagement with reflection and research on their practice. This study takes on this challenge in the context of a mathematics teacher education programme in the UK: the authors propose and evaluate a proactive reflective activity for mathematics student teachers in which they consider mathematical content and its teaching in highly specific classroom situations. Originality/value The examples and their evaluation through the typology of four characteristics illustrate the potency of student teachers’ participation in producing, and reflecting upon, individually and collectively, critical incidents of their inaugural experiences in the classroom.
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Dissertations / Theses on the topic "Mathematics – Stady and teaching"

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黃裕德 and Yue-tak Wong. "The nature of mathematical knowledge: a phenomenological review and it's implications on mathematics education." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B3196056X.

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Rampersad, Roger. "Mathematics anxiety and achievement in mathematics 436." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=19394.

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Mathematics 436 is the advanced mathematics course offered to students in secondary IV in the province of Quebec. Although the course is designed to challenge students in the advanced stream, it has produced a high number of failures. This study examines the relationship between mathematics anxiety and achievement in Mathematics 436. Fifty-six students from an English high school on the island of Montreal took part in the study. The Mathematics Anxiety Rating Scale for Adolescents was used to measure the level of mathematics anxiety experienced by the students. In addition, grades from the previous year in mathematics were obtained, as well as grades from the present year, and the final examination. The results of the study suggest that students enrolled in Mathematics 436 experience a high level of mathematics anxiety. As well, higher levels of mathematics anxiety experienced by the students are associated with poor performance in mathematics.
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Lehmann, Jane Nedine. "Reading mathematics: Mathematics teachers' beliefs and practices." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186198.

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This study explores the relationship between university mathematics teachers' beliefs about the nature of reading mathematics and their practices regarding reading mathematics. It is a response to the calls for reform in mathematics education, particularly to the assertion made by the National Council of Teachers of Mathematics in 1989 that not all students can read mathematical exposition effectively and that all students need instruction in how to read mathematics textbooks. It presupposes a collaboration between reading and mathematics teachers to help students learn to read mathematics. The objectives were (1) to examine mathematics teachers' beliefs and practices regarding reading, mathematics, and thereby, reading mathematics; (2) to determine whether the theoretical perspectives implicit in those beliefs and practices could be characterized vis-a-vis the theoretical orientations that inform Siegel, Borasi, and Smith's (1989) synthesis of mathematics and reading; and (3) to determine the relationship, if any, that exists between mathematics teachers' beliefs about reading mathematics and their practices regarding reading mathematics. The synthesis presents dichotomous views of both mathematics and reading: Mathematics is characterized as either a body of facts and techniques or a way of knowing; reading, as either a set of skills for extracting information from text, or a mode of learning. The latter view, in each case, can be characterized as constructivist. The researcher was a participant observer in a university sumner program. The primary participants were fourteen mathematics instructors. Interviews were conducted using a heuristic elicitation technique (Black & Metzger, 1969). Field notes were taken during observations of classroom activities and other non-academic summer program activities. The data were coded using a constant comparative method (Glaser & Strauss, 1967) comparative method. Twelve instructors held conceptions of reading that were consistent with their conceptions of mathematics. Of those twelve, two held conceptions that could be characterized as constructivist; ten held conceptions that were not constructivist. Two instructors held conceptions of reading that were not consistent with their conceptions of mathematics. Of those two, one held a constructivist conception of reading but not of mathematics; one held a constructivist conception of mathematics but not of reading. Teachers' practices reflected their theoretical orientations. The study has implications for teacher education: If teachers' beliefs are related to their practices, then teacher education programs should (1) acknowledge the teachers' existing beliefs and (2) address the theoretical orientations implicit in various aspects of pedagogy.
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袁東璇 and Tung-shuen Yuen. "Using ICT in learning and teaching mathematics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31256570.

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Alleyn, Suzanne. "Learning the language of mathematics." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81477.

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In this thesis, I describe how interactive journal writing was used to improve the understanding of mathematics, and to foster communication with two groups of remedial grade ten students. Mathematics is a gatekeeper course in high school, and students who are not successful with this subject are at a distinct disadvantage, both in terms of their education and in their future careers. A persistent source of difficulty for these students is related to language; students often struggle both to understand what is being taught, and how to explain concepts or problem solutions in their own words. Interactive journal writing was initiated as a means of addressing this situation, and of meeting the objectives proposed by the Quebec Education Plan, which specifies three closely related competencies: (1) solve situational problems; (2) use mathematical reasoning; (3) and communicate by using mathematical language. There is ample proof in the research literature that communication plays an important role in supporting learners by helping them clarify, refine and consolidate their thinking.
This study demonstrates the importance of allowing and encouraging students to use writing as part of their learning processes. By writing about what they are being taught, students are forced to slow down, examine and reflect on the steps they use to solve problems. Sharing what they write promotes meaningful dialogue and personal engagement, essential ingredients of successful learning.
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Lau, Yin-har, and 劉燕霞. "Values teaching in Hong Kong junior secondary mathematics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31958734.

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Leung, King-shun, and 梁景信. "Pre-service teachers' attitudes towards mathematics and mathematics education." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B30106515.

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Basadien, Soraya. "Teaching logarithmic inequalities using omnigraph." Thesis, University of the Western Cape, 2007. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_5661_1227103274.

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Over the last few years it became clear that the students struggle with the basic concepts of logarithms and inequalities, let alone logarithmic inequalities due to the lack of exposure of these concepts at high school. In order to fully comprehend logarithmic inequalities, a good understanding of the logarithmic graph is important. Thus, the opportunity was seen to change the method of instruction by introducing the graphical method to solve logarithmic inequalities. It was decided to use an mathematical software program, Omnigraph, in this research.

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Luwango, Luiya. "Critical reflective teaching practice in three mathematics teachers." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1003366.

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This qualitative study reports on critical reflective teaching by three mathematics teachers and how it shapes their classroom practice. The study was carried out in three secondary schools in Rundu in northern Namibia. The study employed a case study method. The selection of teachers was based on their rich practical professional knowledge and exemplary teaching practices. Data collection and analysis was done through an interpretive approach. Interviews and document analyses were the two research tools used, not only for the collection of data but for triangulation also. Interpretations of the findings were validated through member checking. Critical reflective teaching involves thought and action, and it raises teachers’ consciousness of what they do. Through critical reflective practice, teachers scrutinize their beliefs and knowledge of the subject and their practice. Furthermore critical reflective practice may get teachers into a disposition to find alternatives to improve their teaching. In this study, the findings are that participants reflect extensively on their classroom practice. The teachers pointed out that reflection on practice enables them to analyse and evaluate their teaching in line with effective mathematics teaching. They emphasised that critical reflection leads to the identification of weaknesses in teachers’ classroom practice. This culminates in better planning whereby alternative approaches to teaching are exercised. Because of its potential to improve teaching and enhance professional development it is therefore recommended that mathematics teachers be exposed to skills that enhance critical reflective teaching practice. Teachers need to familiarise themselves with the concept of critical reflective teaching in mathematics to meet the demands of superior quality teaching.
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Tang, Cham-wing, and 鄧湛榮. "The attitudes of secondary school mathematics teachers towards the teaching of mathematics by using computers." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31958886.

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Books on the topic "Mathematics – Stady and teaching"

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Teaching mathematics. Los Angeles: SAGE, 2008.

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Crockett, Michele D. Mathematics and teaching. New York, NY: Routledge, 2008.

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Frei, Shelly. Teaching mathematics today. Huntington Beach, CA: Shell Education, 2008.

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Frei, Shelly. Teaching mathematics today. Huntington Beach, CA: Shell Education, 2008.

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Frei, Shelly. Teaching mathematics today. Huntington Beach, CA: Shell Education, 2008.

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Unlocking mathematics teaching. 2nd ed. Abingdon, Oxon: Routledge, 2011.

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Isaacson, Zelda. Teaching GCSE mathematics. London: Hodder and Stoughton, 1987.

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1964-, Rock David, ed. Teaching secondary mathematics. 2nd ed. Mahwah, NJ: Lawrence Erlbaum, 2001.

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Biggs, Edith. Teaching primary mathematics. Edinburgh: Holmes McDougall, 1986.

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Drab, Fackler Janis K., Pickett Linda H, and Shell Education, eds. Strategies for teaching mathematics. Huntington Beach, CA: Shell Education, 2010.

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Book chapters on the topic "Mathematics – Stady and teaching"

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Wittmann, Erich Christian. "Teaching Units as the Integrating Core of Mathematics Education." In Connecting Mathematics and Mathematics Education, 25–36. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61570-3_2.

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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.
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Olfos, Raimundo, and Masami Isoda. "Teaching the Multiplication Table and Its Properties for Learning How to Learn." In Teaching Multiplication with Lesson Study, 133–54. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-28561-6_6.

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AbstractWhy do the Japanese traditionally introduce multiplication up to the multiplication table in the second grade? There are four possible reasons. The first reason is that it is possible to teach. The second reason is that Japanese teachers plan the teaching sequence to teach the multiplication table as an opportunity to teach learning how to learn. The third reason is that memorizing the table itself has been recognized as a cultural practice. The fourth reason is to develop the sense of wonder with appreciation of its reasonableness. The second and the fourth reasons are discussed in Chap. 10.1007/978-3-030-28561-6_1 of this book as “learning how to learn” and “developing students who learn mathematics by and for themselves in relation to mathematical values, attitudes, ways of thinking, and ideas.” This chapter describes these four reasons in this order to illustrate the Japanese meaning of teaching content by explaining how the multiplication table and its properties are taught under the aims of mathematics education. In Chap. 10.1007/978-3-030-28561-6_1, these were described by the three pillars: human character formation for mathematical values and attitudes, mathematical thinking and ideas, and mathematical knowledge and skills.
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Isoda, Masami, and Raimundo Olfos. "Introduction of Multiplication and Its Extension: How Does Japanese Introduce and Extend?" In Teaching Multiplication with Lesson Study, 65–101. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-28561-6_4.

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AbstractIn Chap. 10.1007/978-3-030-28561-6_1, the Japanese approach was explained as developing students who learn mathematics by and for themselves (Isoda, 2015), and also as trying to cultivate human character, mathematical values, attitudes, and thinking as well as knowledge and skills (Isoda, 2012; Rasmussen and Isoda, Research in Mathematics Education 21:43–59, 2019). To achieve these aims, the approach is planned under the curriculum sequence to enable students to use their previous knowledge and reorganize it in preparation for future learning. By using their learned knowledge and reorganizing it, the students are able to challenge mathematics by and for themselves. In relation to multiplication, the Japanese curriculum and textbooks provide a consistent sequence for preparing future learning on the principle of extension and integration by using previous knowledge, up to proportions. (The extension and integration principle (MED, 1968) corresponds to mathematization by Freudenthal (1973) which reorganizes the experience in the our life (Freudenthal, 1991). Exemplars of the Japanese approach on this principle are explained in Chaps. 10.1007/978-3-030-28561-6_6 and 10.1007/978-3-030-28561-6_7 of this book.) This chapter is an overview of the Japanese curriculum sequence with terminology which distinguish conceptual deferences to make clear the curriculum sequence in relation to multiplication. First, the teaching sequence used for the introduction of multiplication, and the foundation for understanding multiplication in the second grade, are explained. Based on these, further study of multiplication is done and extended in relation to division up to proportionality. The Japanese approach to multiplication is explained with Japanese notation and terminology as subject specific theories for school mathematics teaching (Herbst and Chazan, 2016). The Japanese approach was developed by teachers through long-term lesson study for exploring ways on how to develop students who learn mathematics by and for themselves (Isoda, Lesson study: Challenges in mathematics education. World Scientific, New Jersey, 2015a; Isoda, Selected regular lectures from the 12th International Congress on Mathematical Education. Springer, Cham, Switzerland, 2015b). This can be done only through deep understanding of the curriculum sequence which produces a reasonable task sequence and a concrete objective for every class in the shared curriculum, such as in the Japanese textbooks (Isoda, Mathematical thinking: How to develop it in the classroom. Hackensack: World Scientific, 2012; Isoda, Pensamiento matemático: Cómo desarrollarlo en la sala de clases. CIAE, Universidad de Chile, Santiago, Chile, 2016) (This is also illustrated in Chap. 10.1007/978-3-030-28561-6_7 of this book.).
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Corcoran, Dolores, and Sandy Pepperell. "Learning to Teach Mathematics Using Lesson Study." In Mathematical Knowledge in Teaching, 213–30. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-9766-8_13.

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Isoda, Masami, and Raimundo Olfos. "Problematics for Conceptualization of Multiplication." In Teaching Multiplication with Lesson Study, 37–64. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-28561-6_3.

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AbstractThis chapter addresses the problematics for the conceptualization of multiplication in school mathematics and fundamental difficulties, which include semantics for defining multiplication meaningfully, syntax in relation to languages, and difficulties that originate from historical transitions. The chapter discusses the contradictions or inconsistencies in the various meanings of multiplication in school mathematics situations. Many of these problems of multiplication are originated from European languages. This discussion of these problematics provides some answers to the questions posed in Chap. 2 and provides bases for the necessity to consider the Japanese approach described in Chaps. 4, 5, 6, and 7 of this book. The terminology of multiplication discussed here is related to mathematical usages of multiplication in relation to situations and models. Educational terminology used for multiplication to explain the curriculum and task sequences for designing lessons are discussed in Chap. 4 of this book.
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Olfos, Raimundo, and Masami Isoda. "Japanese Lesson Study for Introduction of Multiplication." In Teaching Multiplication with Lesson Study, 103–31. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-28561-6_5.

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AbstractIn Chap. 10.1007/978-3-030-28561-6_2, we posed questions about the differences in several national curricula, and some of them were related to the definition of multiplication. In Chap. 10.1007/978-3-030-28561-6_3, several problematics for defining multiplication were discussed, particularly the unique Japanese definition of multiplication, which is called definition of multiplication by measurement. It can be seen as a kind of definition by a group of groups, if we limit it to whole numbers. In Chap. 10.1007/978-3-030-28561-6_4, introduction of multiplication and its extensions in the Japanese curriculum terminology were illustrated to explain how this unique definition is related to further learning. Multiplicand and multiplier are necessary not only for understanding the meaning of multiplication but also for making sense the future learning. The curriculum sequence is established through the extension and integration process in relation to multiplication. In this chapter, two examples of lesson study illustrate how to introduce the definition of multiplication by measurement in a Japanese class. Additionally, how students develop and change their idea of units—that any number can be a unit in multiplication beyond just counting by one—is illustrated by a survey before and after the introduction of multiplication. After the illustration of the Japanese approach, its significance is discussed in comparison with the Chilean curriculum guidebook. Then, the conclusion illustrates the feature of the Japanese approach as being relatively sense making for students who learn mathematics by and for themselves by setting the unit for measurement (McCallum, W. (2018). Making sense of mathematics and making mathematics make sense. Proceedings of ICMI Study 24 School Mathematics Curriculum Reforms: challenges, changes and Opportunities (pp. 1–8). Tsukuba, Japan: University of Tsukuba.). A comparison with Chile is given in order to demonstrate the sense of it from the teacher’s side. In relation to lesson study, this is a good exemplar of how Japanese teachers develop mathematical thinking. It also illustrates the case for being able to see the situation based on the idea of multiplication (Isoda, M. and Katagiri, S. (2012). Mathematical thinking: How to develop it in the classroom. Singapore: World Scientific; Rasmussen and Isoda Research in Mathematics Education 21:43–59, 2019), as seen in Figs. 10.1007/978-3-030-28561-6_4#Fig2 and 10.1007/978-3-030-28561-6_4#Fig3 in Chap. 10.1007/978-3-030-28561-6_4 of this book.
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Goodell, Joanne E. "Reforming Mathematics Teacher Education Through Self-Study." In What Counts in Teaching Mathematics, 111–25. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0461-9_8.

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Milne, Andrew J., and Andrea M. Calilhanna. "Teaching Music with Mathematics: A Pilot Study." In Mathematics and Computation in Music, 383–89. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21392-3_34.

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Lisarelli, Giulia. "Activities Involving Dynamic Representations of Functions with Parallel Axes: A Study of Different Utilization Schemes." In Technology in Mathematics Teaching, 275–95. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19741-4_12.

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Ruchniewicz, Hana, and Bärbel Barzel. "Technology Supporting Student Self-Assessment in the Field of Functions—A Design-Based Research Study." In Technology in Mathematics Teaching, 49–74. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19741-4_3.

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Conference papers on the topic "Mathematics – Stady and teaching"

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Hamilton, Tara Julia, Julieanne Doai, Andrew Milne, Vicky Saisanas, Andrea Calilhanna, Courtney Hilton, Micah Goldwater, and Richard Cohn. "Teaching Mathematics with Music: A Pilot Study." In 2018 IEEE International Conference on Teaching, Assessment, and Learning for Engineering (TALE). IEEE, 2018. http://dx.doi.org/10.1109/tale.2018.8615262.

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Zeljić, Mariana, and Milana Dabić Boričić. "STUDENT – FUTURE TEACHERSʼ ATTITUDE ON THE DEVELOPMENT OF MATHEMATICAL LITERACY IN PRIMARY EDUCATION." In SCIENCE AND TEACHING IN EDUCATIONAL CONTEXT. FACULTY OF EDUCATION IN UŽICE, UNIVERSITY OF KRAGUJEVAC, 2020. http://dx.doi.org/10.46793/stec20.347z.

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Although many studies investigate mathematical literacy, there is no consensus on the meaning of the term. The aim of this study is to investigate the concept of mathematical literacy of future teachers. The data are collected by semi-structured interview with thirteen Teacher Education Faculty students. The concept of mathematical literacy can be placed in four categories: 1) the knowledge and ability to communicate in mathematical language; 2) the conceptual understanding of concepts, contents and procedures; 3) the application of mathematics in everyday life; 4) the use of mathematical-logical thinking and problem solving. All interviewed students highlighted the students’ ability to formulate, represent and solve mathematical problems as well as the precise and correct use of symbolical mathematical language as a very important competence for mathematical literacy, while almost half of the interviewed excluded the students’ ability to see mathematics as a useful subject as an important competence. The teachers’ beliefs and knowledge significantly impact students’ development of mathematical literacy. Hence it is important to provide the conditions in which the teachers will be able to understand the concept and develop a richer conception of mathematical literacy.
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Han, Youliang. "Theoretical Study of College Mathematics Micro-teaching Construction." In 2016 International Conference on Sensor Network and Computer Engineering. Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/icsnce-16.2016.57.

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"The Study of Mathematical Modelling Thinking Method in Mathematics Teaching in Colleges and Universities." In 2017 International Conference on Financial Management, Education and Social Science. Francis Academic Press, 2017. http://dx.doi.org/10.25236/fmess.2017.49.

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Fan, Linyuan. "Study on Multi-media Assistance in Higher Mathematics Teaching." In 2017 International Conference on Sports, Arts, Education and Management Engineering (SAEME 2017). Paris, France: Atlantis Press, 2017. http://dx.doi.org/10.2991/saeme-17.2017.85.

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Faye, Ibrahima, and Mohd Yunus Nayan. "Strategies for teaching confusing topics in Mathematics: A case study." In 2013 IEEE International Conference on Teaching, Assessment and Learning for Engineering (TALE). IEEE, 2013. http://dx.doi.org/10.1109/tale.2013.6654441.

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Libusha, Azwidowi Emmanuel. "USING EVERYDAY LANGUAGE TO SUPPORT LEARNERS’ ACCESS TO MATHEMATICAL CONTENT KNOWLEDGE." In International Conference on Education and New Developments. inScience Press, 2021. http://dx.doi.org/10.36315/2021end013.

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The language of mathematics can hinder the development of some learners’ conceptual understanding of mathematics. Language as a whole plays a crucial role in the teaching and learning of mathematics as it serves as the medium in which the teachers and learners think and communicate in the classroom. Ball, Thames and Phelps (2008) argue that the demands of teaching mathematics require specialized mathematical knowledge that only pertains to mathematics teaching and is not required in other mathematics professions. The role of the teacher is to use resources available to them to support learners in accessing mathematical content knowledge. Previous researchers acknowledged the difficulty learners face when trying to interpret the formal language of mathematics in order to access mathematical content knowledge. Consequently, the current study explored the various ways in which the language of learning and teaching can be utilized by teachers to mitigate language difficulties their learners may experience. The study was guided by the research question: What is the informal mathematical language that Grade 10 teachers use to inform effective instruction when teaching functions? This paper aims to describe how teachers use informal mathematical language to teach inequalities and functions. The research is qualitative and the descriptive method was employed, with the researcher serving as the main instrument. The required data was collected by observing two teachers teaching inequalities and functions. The findings indicate that the use of transliteration and demonstrations as teaching strategies reduced the challenges of using English as a medium of instruction to interpret mathematical symbolic language and that the use of everyday language makes a difference in the learning of functions and inequalities. The study informs both pre-service and in-service teacher development programmes.
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Esendemir, Ozan, and Recep Bindak. "MATHEMATICAL KNOWLEDGE FOR TEACHING IN GEOMETRY: A COMPARISON STUDY OF U.S. AND TURKISH MATHEMATICS TEACHERS." In 10th annual International Conference of Education, Research and Innovation. IATED, 2017. http://dx.doi.org/10.21125/iceri.2017.0764.

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Thangarajah, Pamini, and Nouralhuda Ismail. "Effects Of Cultural Traditions On Teaching Mathematics: A Comparative Study." In 6th Annual International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2017). Global Science & Technology Forum (GSTF), 2017. http://dx.doi.org/10.5176/2251-1911_cmcgs17.14.

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Liwen, Shi, and Shi Zihui. "Exploration and Study of Computer-Aided Higher Mathematics Teaching Practice." In 2013 Fourth International Conference on Intelligent Systems Design and Engineering Applications (ISDEA). IEEE, 2013. http://dx.doi.org/10.1109/isdea.2013.474.

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Reports on the topic "Mathematics – Stady and teaching"

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Ferner, Bernd. Elementary Teacher Candidates' Images of Mathematics, Diverse Students, and Teaching: An Exploratory Study With Implications for Culturally Responsive Mathematics Education. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1097.

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Gries, David, and Fred B. Schneider. A New Approach to Teaching Mathematics. Fort Belvoir, VA: Defense Technical Information Center, February 1994. http://dx.doi.org/10.21236/ada276948.

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Crossfield, Don. Tools of American Mathematics Teaching, 1800-2000. Washington, DC: The MAA Mathematical Sciences Digital Library, August 2008. http://dx.doi.org/10.4169/loci002860.

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Thomson, Sue, Nicole Wernert, Sima Rodrigues, and Elizabeth O'Grady. TIMSS 2019 Australia. Volume I: Student performance. Australian Council for Educational Research, December 2020. http://dx.doi.org/10.37517/978-1-74286-614-7.

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The Trends in International Mathematics and Science Study (TIMSS) is an international comparative study of student achievement directed by the International Association for the Evaluation of Educational Achievement (IEA). TIMSS was first conducted in 1995 and the assessment conducted in 2019 formed the seventh cycle, providing 24 years of trends in mathematics and science achievement at Year 4 and Year 8. In Australia, TIMSS is managed by the Australian Council for Educational Research (ACER) and is jointly funded by the Australian Government and the state and territory governments. The goal of TIMSS is to provide comparative information about educational achievement across countries in order to improve teaching and learning in mathematics and science. TIMSS is based on a research model that uses the curriculum, within context, as its foundation. TIMSS is designed, broadly, to align with the mathematics and science curricula used in the participating education systems and countries, and focuses on assessment at Year 4 and Year 8. TIMSS also provides important data about students’ contexts for learning mathematics and science based on questionnaires completed by students and their parents, teachers and school principals. This report presents the results for Australia as a whole, for the Australian states and territories and for the other participants in TIMSS 2019, so that Australia’s results can be viewed in an international context, and student performance can be monitored over time. The results from TIMSS, as one of the assessments in the National Assessment Program, allow for nationally comparable reports of student outcomes against the Melbourne Declaration on Educational Goals for Young Australians. (Ministerial Council on Education, Employment, Training and Youth Affairs, 2008).
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Thompson, A. D. Teaching excellence and achivement in mathematics and science. Office of Scientific and Technical Information (OSTI), December 1996. http://dx.doi.org/10.2172/459983.

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Mochrie, Robbie. Use of WebTests in teaching mathematics for economics. Bristol, UK: The Economics Network, March 2001. http://dx.doi.org/10.53593/n615a.

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Kotecha, Meena. Teaching mathematics and statistics: Promoting students' engagement and interaction. Bristol, UK: The Economics Network, January 2012. http://dx.doi.org/10.53593/n2054a.

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Young, Gerald. The Journey to Becoming Constructivist, Presidential Award for Excellence in Mathematics and Science Teaching, Secondary Mathematics Teacher. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.2064.

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Elven, Chris. Using Frequent Tests to Enhance the Teaching of Basic Mathematics and Statistics. Bristol, UK: The Economics Network, October 2001. http://dx.doi.org/10.53593/n603a.

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Schoen, Robert, Xiaotong Yang, and Gizem Solmaz. Psychometric Report for the 2019 Knowledge for Teaching Early Elementary Mathematics (K-TEEM) Test. Florida State University Libraries, May 2021. http://dx.doi.org/10.33009/lsi.1620243057.

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The 2019 Knowledge for Teaching Early Elementary Mathematics (2019 K-TEEM) test measures teachers’ mathematical knowledge for teaching early elementary mathematics. This report presents information about a large-scale field test of the 2019 K-TEEM test with 649 practicing educators. The report contains information about the development process used for the test; a description of the sample; descriptions of the procedures used for data entry, scoring of responses, and analysis of data; recommended scoring procedures; and findings regarding the distribution of test scores, standard error of measurement, and marginal reliability. The intended use of the data from the 2019 K-TEEM test is to serve as a measure of teacher knowledge that will be used in a randomized controlled trial to investigate the impact—and variation in impact—of a teacher professional-development program for early elementary teachers.
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