The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Cheung Kwokcheung - One of the best experts on this subject based on the ideXlab platform.
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Mathematization and realistic mathematics education an analysis of their contributions to exploratory mathematics project work
Journal on Mathematics Education, 2005Co-Authors: Cheung KwokcheungAbstract:This article comprised of five sections. The first section introduces the Dutch mathematics educator Hans Freudenthal and his ideas of horizontal and vertical Mathematization. Freudenthal’s proposal of mathematics as a human activity had immense impact to the mathematics educators in the new century worldwide especially when mathematics for all was an important goal of mathematics education. The second section presented the case of Realistic Mathematics Education (RME) in the Netherlands – a successful mathematics education approach that seeked to inculcate vertical and horizontal Mathematization in school children. The third section outlined the six principles of the RME pedagogy. The bus transportation problem was used to illustrate the main points of these six principles. The fourth section, potential contribution of RME to exploratory mathematics project work was highlighted. An exemplary problem situation drawn from the new Chinese mathematics curriculum standards was used to illustrate the four levels of Mathematization needed to be experienced by students as a human activity. The conclusion section remarked that RME was valuable for helping students to understand how mathematics knowledge was created and how some mathematical knowledge became formalized to constitute the nowadays mathematics discipline.
M Pabteki - One of the best experts on this subject based on the ideXlab platform.
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Thomas solly (1816–1875):an unknown pioneer of the Mathematization of logic in england, 1839
History and Philosophy of Logic, 1993Co-Authors: M PabtekiAbstract:Thomas Solly’s A syllabus of logic (1839) is the first English tract where symbolical representation and mathematical methods are introduced to explain the nature of abstract conceptions and exhibit properties of syllogistic laws. Solly’s innovations had no effect on the development of algebraic logic, and his work is basically unknown in our century. This paper rescues from oblivion an interesting attempt at the Mathematization of logic, investigating its mathematical and logical origins, as well as connecting it with the work of his successors. Two unpublished letters to A. De Morgan are used, and Solly’s possible contacts with other contemporaries, especially D. F. Gregory, are considered
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thomas solly 1816 1875 an unknown pioneer of the Mathematization of logic in england 1839
History and Philosophy of Logic, 1993Co-Authors: M PabtekiAbstract:Thomas Solly’s A syllabus of logic (1839) is the first English tract where symbolical representation and mathematical methods are introduced to explain the nature of abstract conceptions and exhibit properties of syllogistic laws. Solly’s innovations had no effect on the development of algebraic logic, and his work is basically unknown in our century. This paper rescues from oblivion an interesting attempt at the Mathematization of logic, investigating its mathematical and logical origins, as well as connecting it with the work of his successors. Two unpublished letters to A. De Morgan are used, and Solly’s possible contacts with other contemporaries, especially D. F. Gregory, are considered
Sailaja Kattubadi - One of the best experts on this subject based on the ideXlab platform.
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grade 3 students Mathematization through modeling situation models and solution models with mutli digit subtraction problem solving
The Journal of Mathematical Behavior, 2012Co-Authors: Aki Murata, Sailaja KattubadiAbstract:Abstract In considering mathematics problem solving as a model-eliciting activity ( Lesh and Doerr, 2003 , Lesh and Harel, 2003 , Lesh and Zawojewski, 2008 ), it is important to know what students are modeling for the problems: situations or solutions. This study investigated Grade 3 students’ Mathematization process by examining how they modeled different types of multi-digit subtraction situation problems. Students’ modeling processes differed from one problem type to another due to their prior experiences and the complexity of the problems. This study showed that students make their own distinctions between solution and situation models in their Mathematization process. Mathematics curricula and teaching should consider these distinctions to carefully facilitate different model development of and support student understanding of a content topic.
Saifurrahman Iman Pratomo - One of the best experts on this subject based on the ideXlab platform.
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the correlation between student s Mathematization and mathematical disposition in implementing generative learning
International Journal of Education, 2017Co-Authors: Saifurrahman Iman PratomoAbstract:This paper reports the result of an experiment with a pretest-posttest control group design, which aims to find out the role of generative learning model and student’s basic mathematical knowledge (BMK) in the improvements of students’ Mathematization and the correlation between students’ Mathematization and mathematical disposition. The subjects of the study included 73 eight grade students of a junior high school. The instrument of this study was a set of mathematical tests adopted from the Indonesian National Examination (UN). The data were analyzed using t-test and non-parametric Mann-Whitney U test. This study finds that the generative learning model had effects on students’ Mathematization and basic mathematical knowledge (BMK).
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THE CORRELATION BETWEEN STUDENT’S Mathematization AND MATHEMATICAL DISPOSITION IN IMPLEMENTING GENERATIVE LEARNING
International Journal of Education, 2017Co-Authors: Saifurrahman Iman PratomoAbstract:This paper reports the result of an experiment with a pretest-posttest control group design, which aims to find out the role of generative learning model and student’s basic mathematical knowledge (BMK) in the improvements of students’ Mathematization and the correlation between students’ Mathematization and mathematical disposition. The subjects of the study included 73 eight grade students of a junior high school. The instrument of this study was a set of mathematical tests adopted from the Indonesian National Examination (UN). The data were analyzed using t-test and non-parametric Mann-Whitney U test. This study finds that the generative learning model had effects on students’ Mathematization and basic mathematical knowledge (BMK).
Stephen G. Brush - One of the best experts on this subject based on the ideXlab platform.
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Mathematics as an Instigator of Scientific Revolutions
Science & Education, 2015Co-Authors: Stephen G. BrushAbstract:In a famous 1960 paper, Wigner discussed “The Unreasonable Effectiveness of Mathematics in the Natural Sciences.” I suggest that the effectiveness of mathematics in producing successful new theories and surprising discoveries is even more unreasonable than Wigner claimed. In this paper, I present several historical case studies to support the claim that mathematics is often responsible for instigating scientific revolutions. However, that does not mean that mathematics is always the key to the universe, and other cases where Mathematization was not successful are discussed in order to problematize a naïve Platonism.
