1,467,721 research outputs found
Values Implemented By Secondary Teachers In Mathematics Problem Solving
This qualitative research aims at exploring the values implemented by the teachers in matehamtics problem solving classroom. The subjects are three mathematics teachers in secondary school in Palembang. Data were collected through interview pre teaching, observation juring the teaching process, interview post teaching, field recording, and document collecting. Observation to each teacher was done twice and was recorded by video recording. The result shows that the values implemented by the teachers are explicit and implicit. The dominant values implemented by the teachers in general category is the values of belief in God and the value of thorough, the dominant value implemented by the teachers in mathematics category is objectivism, whereas the dominant values implemented by the teachers in mathematics education category are formalistic and relevant
Key Words : General Values, Mathematics Values, Mathematics Education Values, Mathematics Problem Solvin
Leveling Of Students Critical Thinking Abilities In Mathematics Problem Solving In Line With Gender Differences
This qualitative research aims at exploring the values implemented by the teachers in matehamtics problem solving classroom. The subjects are three mathematics teachers in secondary school in Palembang. Data were collected through interview pre teaching, observation juring the teaching process, interview post teaching, field recording, and document collecting. Observation to each teacher was done twice and was recorded by video recording. The result shows that the values implemented by the teachers are explicit and implicit. The dominant values implemented by the teachers in general category is the values of belief in God and the value of thorough, the dominant value implemented by the teachers in mathematics category is objectivism, whereas the dominant values implemented by the teachers in mathematics education category are formalistic and relevant
Key Words : General Values, Mathematics Values, Mathematics Education Values, Mathematics Problem Solvin
Understanding the Transition between High School and College Mathematics and Science
Mathematics and science education is gaining increasing recognition as key for the well-being of individuals and society. Accordingly, the transition from high school to college is particularly important to ensure that students are prepared for college mathematics and science. The goal of this study was to understand how high school mathematics and science course-taking related to performance in college. Specifically, the study employed a nonparametric regression method to examine the relationship between high school mathematics and science courses, and academic performance in college mathematics and science courses. The results provide some evidence pertaining to the positive benefits from high school course-taking. Namely, students who completed high school trigonometry and lab-based chemistry tended to earn higher grades in college algebra and general chemistry, respectively. However, there was also evidence that high school coursework in biology and physics did not improve course performance in general biology and college physics beyond standardized test scores. Interestingly, students who completed high school calculus earned better grades in general biology. The implications of the findings are discussed for high school curriculum and alignment in standards between high schools and colleges
Univalent Foundations and the UniMath Library
We give a concise presentation of the Univalent Foundations of mathematics outlining the main ideas, followed by a discussion of the UniMath library of formalized mathematics implementing the ideas of the Univalent Foundations (section 1), and the challenges one faces in attempting to design a large-scale library of formalized mathematics (section 2). This leads us to a general discussion about the links between architecture and mathematics where a meeting of minds is revealed between architects and mathematicians (section 3). On the way our odyssey from the foundations to the "horizon" of mathematics will lead us to meet the mathematicians David Hilbert and Nicolas Bourbaki as well as the architect Christopher Alexander
Quanta Mathematica Instrumentalis!
Quanta mathematica instrumentalis, from Latin, might mean How much mathematics for physical applications. But we try to give this expression another meaning. \ud
We discuss how mathematics and its instrumental nature could serve as paradigm for other human activities and science in general. We introduce notions of higher observer and field of information. We discuss question why we are to study and develop mathematics more diligently than we do in natural way.\u
Popularizing mathematics: from eight to infinity
It is rare to succeed in getting mathematics into ordinary conversation
without meeting all kinds of reservations. In order to raise public awareness
of mathematics effectively, it is necessary to modify such attitudes. In this
paper, we point to some possible topics for general mathematical conversation
Further Results on Permutation Polynomials over Finite Fields
Permutation polynomials are an interesting subject of mathematics and have
applications in other areas of mathematics and engineering. In this paper, we
develop general theorems on permutation polynomials over finite fields. As a
demonstration of the theorems, we present a number of classes of explicit
permutation polynomials on \gf_q
Students' perspectives on the nature of mathematics
This paper reports on one small component of a much larger study that explored the perspectives of students towards mathematics learning. Students were asked âWhat do you think maths is all about?â Some students responded in terms of mathematical content. Others commented on learning in general, or on problem-solving in particular. Some students talked about the usefulness of mathematics for everyday life. An overwhelming number of students answered the question by talking about the importance of mathematics for the future
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