Elementary Mathematics Teaching \ 1-1
This book can be used as a textbook in the "Analytical Geometry" courses taught in the first (or second) grades of the mathematics and mathematics teaching departments of universities.
In addition to covering the basic subjects that the students studying in these departments will need in the lessons they will study in the advanced classes, it will also help them in the subjects that the prospective teachers will teach while teaching in high schools. These topics are given quite concisely without going into too much detail. The connections between the subjects were fully established and care was taken not to leave any open questions.
After each concept, enough examples are given to explain this concept. A sufficient number of exercises are included at the end of each section to make the subject comprehend. Solutions to all of these exercises have been published as a separate book.
The problems are ordered from easy to difficult, and abstract problems are placed at the end. The problems included in the book are not very specific problems in this field, but rather the type of questions that will be easily understood by the students, will make the students love the Analytical Geometry course and will better understand and reinforce the analytical geometry knowledge that will form the basis of the courses they will read in the advanced grades. The results of the problems and the actions to be taken while obtaining these results have been chosen in a way that will not tire the reader.
In addition to covering the basic subjects that the students studying in these departments will need in the lessons they will study in the advanced classes, it will also help them in the subjects that the prospective teachers will teach while teaching in high schools. These topics are given quite concisely without going into too much detail. The connections between the subjects were fully established and care was taken not to leave any open questions.
After each concept, enough examples are given to explain this concept. A sufficient number of exercises are included at the end of each section to make the subject comprehend. Solutions to all of these exercises have been published as a separate book.
The problems are ordered from easy to difficult, and abstract problems are placed at the end. The problems included in the book are not very specific problems in this field, but rather the type of questions that will be easily understood by the students, will make the students love the Analytical Geometry course and will better understand and reinforce the analytical geometry knowledge that will form the basis of the courses they will read in the advanced grades. The results of the problems and the actions to be taken while obtaining these results have been chosen in a way that will not tire the reader.
This book contains solutions to exercises from the author's book “Analytical Geometry”. It is prepared for the benefit of our students in the Analytical Geometry courses taught in the first (or second) grades of universities.
The problems in this book will not only cover the topics that our students will need in the lessons they will study in the advanced grades, but also will help them in the topics that prospective teachers will teach while teaching in high schools. If the solutions of the exercises are included in the "Analytical Geometry" book, it was thought that it would be more appropriate to collect it in a separate book, since the volume of the book would increase a lot.
The problems are ordered from easy to difficult, and abstract problems are placed at the end. The problems included in the book are not very specific problems in this field, but rather the type of questions that can be easily understood by the students, that will make them love the Analytical Geometry course and that will provide a basis for the courses they will read in the advanced classes, and will better understand and reinforce their knowledge of Analytical Geometry. The problems, results and the actions to be taken while obtaining these results have been chosen in a way that will not tire the reader.
The problems in this book will not only cover the topics that our students will need in the lessons they will study in the advanced grades, but also will help them in the topics that prospective teachers will teach while teaching in high schools. If the solutions of the exercises are included in the "Analytical Geometry" book, it was thought that it would be more appropriate to collect it in a separate book, since the volume of the book would increase a lot.
The problems are ordered from easy to difficult, and abstract problems are placed at the end. The problems included in the book are not very specific problems in this field, but rather the type of questions that can be easily understood by the students, that will make them love the Analytical Geometry course and that will provide a basis for the courses they will read in the advanced classes, and will better understand and reinforce their knowledge of Analytical Geometry. The problems, results and the actions to be taken while obtaining these results have been chosen in a way that will not tire the reader.
Differential Equations is one of the cornerstones of modern mathematics and, together with Linear Algebra, is a necessary discipline for solving many problems in engineering, natural sciences, economics, physical and social sciences. R&D studies on computer technologies have revealed new techniques for the solution of differential equations. In this way, it became possible to solve the problems modeled with Differential Equation Systems.
This book has been prepared to be taught in the Differential Equations course in the Academic Program of Universities. Book; In addition to the information that forms the basis of Differential Equations, it also includes the topics related to the applications in the field courses taught in the Academic Program of Engineering.
Book; It consists of the titles of First Order Differential Equations, Applications of First Order Differential Equations, Higher Order Linear Differential Equations, Laplace Transform, Applications of Second Order Differential Equations and Linear Differential Equations with Variable Coefficients.
This book has been prepared to be taught in the Differential Equations course in the Academic Program of Universities. Book; In addition to the information that forms the basis of Differential Equations, it also includes the topics related to the applications in the field courses taught in the Academic Program of Engineering.
Book; It consists of the titles of First Order Differential Equations, Applications of First Order Differential Equations, Higher Order Linear Differential Equations, Laplace Transform, Applications of Second Order Differential Equations and Linear Differential Equations with Variable Coefficients.
This book was created by blending the lecture notes used for years for the Differential Equations course taught in the Department of Mathematics, Faculty of Science, Ankara University, with the current literature, and rearranging them in the required width and depth in an original way. Consisting of fifteen chapters and 554 pages, this book is designed to be taught in undergraduate mathematics programs for two semesters.
In this book, basic concepts, theorems and solution methods, which are indispensable for differential equations, are emphasized and attention is drawn to the real-life application areas of differential equations. Graphs were drawn, tables were set up, sufficient number of examples were solved and many exercises were given so that the concepts, theorems and solution methods covered could be easily understood. In addition, sample problems for different application areas of differential equations were examined and a series of exercises were prepared in this context. Finally, the answers to most of the exercises left to the reader are shared at the end of the book for self-control. In this respect, this book has general norms that can be followed and taught as a textbook not only in mathematics departments, but also in physics, astronomy and space sciences and engineering departments. In summary, anyone who has undergraduate or graduate education in basic sciences, engineering, economics and health and needs differential equations can easily benefit from this book as much as they want.
In this book, basic concepts, theorems and solution methods, which are indispensable for differential equations, are emphasized and attention is drawn to the real-life application areas of differential equations. Graphs were drawn, tables were set up, sufficient number of examples were solved and many exercises were given so that the concepts, theorems and solution methods covered could be easily understood. In addition, sample problems for different application areas of differential equations were examined and a series of exercises were prepared in this context. Finally, the answers to most of the exercises left to the reader are shared at the end of the book for self-control. In this respect, this book has general norms that can be followed and taught as a textbook not only in mathematics departments, but also in physics, astronomy and space sciences and engineering departments. In summary, anyone who has undergraduate or graduate education in basic sciences, engineering, economics and health and needs differential equations can easily benefit from this book as much as they want.
Early childhood is referred to as the magical years of life. Mathematics is one of the remarkable subjects in this period when a child is eager and curious to learn all the information about the world. So what is math? What does math do? Is math difficult? Can't math be learned or taught? What does mathematics education in early childhood mean? Is it possible to raise children who love mathematics and are at peace with mathematics? What can be done about it? In this book, which was prepared by considering the answers to all these questions, it is aimed to reveal the theoretical knowledge about "mathematics education in early childhood" and the reflections of the theoretical knowledge in practice. The following topics are discussed in this publication, which is a scientific book prepared by field expert authors who carry out graduate and/or doctoral thesis studies in the field of early childhood mathematics education and have academic studies and/or practical experience on this subject:
• What is Mathematics?
• Mathematics Education in Early Childhood Period
• Development of Mathematics Concepts in Early Childhood Period
• Early Childhood Mathematics Skills
• Count, Count, Operation
• Measuring
• Data Analysis, Graphing and Probability
• Geometry, Spatial Thinking and Shape
• Learning Mathematics in Early Childhood
• Mathematics Programs in Early Childhood Education
• Child Recognition and Evaluation in Early Childhood Mathematics Education
• The Role of Family and Teacher in Early Childhood Mathematics Education
• Event Examples
We hope that the book will contribute to researchers working in the field of early childhood education, especially to children in early childhood, to teachers, teacher candidates, parents and all readers.
• What is Mathematics?
• Mathematics Education in Early Childhood Period
• Development of Mathematics Concepts in Early Childhood Period
• Early Childhood Mathematics Skills
• Count, Count, Operation
• Measuring
• Data Analysis, Graphing and Probability
• Geometry, Spatial Thinking and Shape
• Learning Mathematics in Early Childhood
• Mathematics Programs in Early Childhood Education
• Child Recognition and Evaluation in Early Childhood Mathematics Education
• The Role of Family and Teacher in Early Childhood Mathematics Education
• Event Examples
We hope that the book will contribute to researchers working in the field of early childhood education, especially to children in early childhood, to teachers, teacher candidates, parents and all readers.
Our current situation in international assessments, the change in student interests and needs, the search for alternative learning approaches to gain the life skills expected from individuals in society; The reasons such as the fact that our country can compete with other countries in the economic and technological field have brought along important updates in the curriculum in the field of science. In addition, it is seen that a STEM education approach that aims to apply creative solutions to solve integrated and daily life problems in the fields of Science, Technology, Engineering and Mathematics (STEM) has become widespread especially in developed countries. This work, which emerged with the need for alternative publications that can guide both in-service and pre-service teachers in order to increase the opportunities for reflecting these developments in learning environments; It has been prepared by academicians, educators and teachers who are experts in their fields working in various universities in Turkey. In the book; By adopting the understanding of turning from theory to practice, from practice to product, the readers are asked, “How should an effective Science Teaching and STEM education be?” It is aimed to answer the question and present more.
The General Mathematics book has been prepared for the courses given under the names such as Mathematics, General Mathematics, and Higher Mathematics, apart from the Mathematics Departments of the Faculties of Science and Letters. The study, which has a suitable content for the Mathematics curriculum given in the Economics and Economics Departments as well as the Technical Education Faculties and Education Faculties, has been written in an understandable style so that the students can learn the subjects better.
In the study, in which definitions, theorems and results are given in very simple terms, enough examples are solved and real numbers, functions, limit and continuity, derivative, integral, matrix, sequences and series are covered comprehensively.
In the study, in which definitions, theorems and results are given in very simple terms, enough examples are solved and real numbers, functions, limit and continuity, derivative, integral, matrix, sequences and series are covered comprehensively.
This book, which deals with the basic issues of mathematics teaching at the undergraduate level with the approach of giving lectures in the classroom, is the product of twenty years of experience. In the explanation of the subjects; It has adopted the aim of being able to carry out the mathematical operations that students need, to develop mathematical thinking and to teach mathematical concepts.
In the book; numbers, algebra, functions, derivatives and integrals, which are the basic subjects of mathematical analysis, and vector, matrix, determinant and linear equation systems of linear algebra are explained at a basic level.
The following principles were taken into account in the selection of the exercises in the book:
1. To ensure that the student learns and reinforces the subject,
2. To develop mathematical processing skills and thinking,
3. To convert a given problem statement into a mathematical expression by interpreting the theoretical information.
It is aimed that the Basic and General Mathematics book will be useful to all students.
In the book; numbers, algebra, functions, derivatives and integrals, which are the basic subjects of mathematical analysis, and vector, matrix, determinant and linear equation systems of linear algebra are explained at a basic level.
The following principles were taken into account in the selection of the exercises in the book:
1. To ensure that the student learns and reinforces the subject,
2. To develop mathematical processing skills and thinking,
3. To convert a given problem statement into a mathematical expression by interpreting the theoretical information.
It is aimed that the Basic and General Mathematics book will be useful to all students.