Mathematical Reasoning

All mathematics books have problems, and most of them have word problems. Many students have difficulties when attempting to solve word problems. One reason is that they do not have a specific plan of action. A mathematician, George Polya (1887-1985), wrote a book entitled How To Solve It, explaining a four-step process that can be used to solve word problems. This process is explained in Lesson 1 of this book and is used throughout the book. This process provides a plan of action that can be used to solve word problems found in all mathematics courses.

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The aim of this study was to identify and classify the student’s concept image and its influence on the reasoning of the problem-solving of the derivative. The research used a qualitative description approach and used eight research subjects.

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This study aims to determine the impact of the ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) learning model on students' mathematical reasoning abilities in terms of student motivation. The research method used was a quasi-experimental method with a post-test only control design research design.

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Literacy ability is an individual's ability to reason, formulate, solve, and interpret mathematically to solve problems related to daily life. Executive function is a cognitive aspect that has a relation with mathematical literacy. One of some aspects that affects the low mathematical literacy ability is the aspect of executive function.

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This paper investigates the quantitative literacy and reasoning (QLR) of freshmen students pursuing a Science, Technology, Engineering, and Mathematics (STEM)–related degree but do not necessarily have a Senior High School (SHS) STEM background.

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Students drop out of schools for many reasons, and it has negative effects on the individual and society. This paper reports a study using data published in 2015 from the Educational Longitudinal Study conducted by the National Center for Education Statistics to analyze the influence of parental involvement on low-achieving U.S. students’ graduation rates from high school.

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Mathematics anxiety in initial teacher education is a growing issue that reflects on teacher quality and their student’s maths anxiety and abilities. Previous studies have presented a range of different perspectives to mathematics anxiety.

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This course is an introduction to the subject of Artificial Neural Networks and Genetic Algorithms, two very new subjects forming part of Distributed Artificial Intelligence. As you leaf through these notes you will notice that they are full of mathematical equations. The reason is simple: these subjects are inherently mathematical. However the course and assessments are such that it will be possible for you to pass if you do not touch the equations. However if you wish to gain a good pass you must attempt to master the equations.

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Lecture Discrete mathematics: Chapter 1.1 helps you to explore concepts in discrete mathematics using in computer systems. By following the book "Discrete Mathematics and Its Applications," Seventh Edition, by Kenneth H. Rosen, an introduction to the mathematical structures and concepts used in computing: sets, mathematical induction, ordered sets, Boolean algebras, predicate calculus, graphs, trees and relations will be presented in the course. Please refer to the detailed lecture content!

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This study applies the optimal mathematical model to develop a rational agricultural land-use structure that brings economic, social, and environmental benefits to Que Son district, Quang Nam province. We utilized the method of focus group discussions and household interviews.

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English for Specific Purpose (ESP), which combines subject matter and English language teaching, is recently known to be one of the most essential subjects for Undergraduate Students for a couple of reasons. Firstly, this combination is highly motivating because students are capable of applying English to their main fields of study. Secondly, ―ESP is crucial.

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Insufficient performance of optimization-based approaches for the fitting of mathematical models is still a major bottleneck in systems biology. In this article, the reasons and methodological challenges are summarized as well as their impact in benchmark studies. Important aspects for achieving an increased level of evidence for benchmark results are discussed.

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Chapter 13A - The concept of present value. A dollar received today is more valuable than a dollar received a year from now for the simple reason that if you have a dollar today, you can put it in the bank and have more than a dollar a year from now. Because dollars today are worth more than dollars in the future, cash flows that are received at different times must be weighted differently. After studying this chapter you will be able to understand present value concepts and the use of present value tables.

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Numerical calculations of the quantities were performed for Fe and W thin films and found to be in good and reasonable agreement with other theoretical results and experimental data. This research proves that thermal expansion coefficients of thin films approach the values of bulk when thin film is about 70 nm thick.

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The Helmholtz free energy, mean-square atomic displacements and Young’s modulus E are derived in closed analytic forms in terms of the power moments of the atomic displacements. Numerical calculations for Young’s modulus of W and Nb thin films are found to be in good and reasonable agreement with those of other theoretical results and experimental data.

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It is dangerous for students if they do not use logical reasoning in proving mathematical problems because mathematics often relies on logical and deductive reasoning. Thus, if mathematics in class is taught with applications, it should be taught as empirical theory and should not support a naive believe system of mathematics.

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In this paper, we present the need and the role of analyzing curricula in general, analyzing primary mathematics curriculum in particular. We then find out the real status and the reasons for practising the skill of analyzing mathematics curriculum at primary level. We thence propose measures to practise this skill for students of Primary Education major.

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This chapter continues with the learning approaches of Chapter 4: provide many examples to imitate and problem-solving guidelines to help you reason through difficult problems. This chapter extends your knowledge of query formulation to advanced matching problems. To solve these advanced matching problems, additional parts of the SELECT statement are introduced.

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The equations of state (EOS) of asymmetric nuclear matter (ANM) in an extended Nambu-Jona-Lasinio (ENJL) model was investigated by means of examining effective potential in one-loop approximation. Our numerical results show that isospin dependence of saturation density in our model is reasonably strong and critical temperature for liquid-gas phase transition decreases with increasing neutron excess.

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Mathematical models of biological networks can provide important predictions and insights into complex disease. Constraint-based models of cellular metabolism and probabilistic models of gene regulatory networks are two distinct areas that have progressed rapidly in parallel over the past decade.

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