This document provides an overview of a course in Algebra I taught by Professor James A. Sellers. It includes his biography, the scope of the course, and outlines for 36 lessons covering topics like linear equations, quadratic functions, rational expressions, and sequences. The course emphasizes multiple problem-solving techniques, various representations of mathematical concepts, and pattern recognition.
This document provides information about a precalculus and trigonometry workbook created by The Great Courses. It includes a biography of the workbook's author, Professor Bruce H. Edwards of the University of Florida. The workbook is designed to accompany Professor Edwards' Great Courses lecture series on precalculus and contains 30 lesson guides on topics ranging from functions and complex numbers to trigonometric identities, vectors, and conic sections. It is published by The Great Courses, an educational media company located in Chantilly, Virginia.
William Allan Kritsonis has over 40 years of experience in higher education. He received his PhD from the University of Iowa and is currently a tenured professor at Prairie View A&M University, where he teaches both PhD and master's level courses in educational leadership. He has published extensively and served as the editor-in-chief of National FORUM Journals for over 30 years.
Here are a few key points about the joys of teaching:
- Witnessing student growth and learning. Teachers find joy and fulfillment in seeing students develop new skills, gain knowledge, and achieve milestones. It's rewarding to play a role in students' intellectual and personal journeys.
- Encouraging lifelong learning. Teachers help instill in students a love of learning that extends beyond the classroom. They challenge students to be curious, think critically, and continue expanding their minds throughout life.
- Personal growth. Teaching provides opportunities for teachers' own learning and development as they research new topics, develop lesson plans, and adapt to students' diverse needs and backgrounds. It allows teachers to stay engaged with new ideas
This document provides biographical information about the authors and reviewer of the textbook "Educational Psychology." It includes:
- Brief bios of the two authors, Kelvin Seifert and Rosemary Sutton, including their educational backgrounds and areas of research expertise.
- A short bio of the reviewer, Sandra Deemer, including her areas of teaching and research focus.
- It concludes with a table of contents for the "Educational Psychology" textbook.
John D. Best is an Associate Professor of Mathematics and Director of Secondary Mathematics Education at Summit University. He received his Ph.D. in Mathematics from Binghamton University and has over 30 years of experience teaching mathematics at the secondary and post-secondary levels. His research interests include connections between high school and college mathematics, assessment, and taxicab geometry.
Dr. Kritsonis Honored as Professor, Scholar & Pioneer Publisher
The Texas National Association for Multicultural Education honored Dr. William Allan Kritsonis as a Professor, Scholar, and Pioneer Publisher for Distinguished Service to Multicultural Research Publishing. The ceremony was on April 28th 2012 at Texas A&M University, College Station, Texas.
Here are a few key points about a career in medical psychology:
- Medical psychology involves applying psychological principles to healthcare and medical issues. Psychologists work in various medical settings like hospitals, clinics, private practices, etc.
- Some areas medical psychologists work in include neuropsychology, health psychology, rehabilitation psychology, pediatric psychology, clinical health psychology, and more.
- Typical duties involve assessing and treating patients, conducting research, providing psychotherapy and counseling, consulting with other medical professionals, educating patients, and more.
- Medical psychologists often help patients cope with chronic or serious medical conditions, recover from injuries/illnesses, manage pain or other symptoms, adhere to treatment plans, and improve their overall health and well-being
Elizabeth Walker has over 30 years of experience in mathematics education. She holds a Ph.D. in Mathematics Education from the University at Buffalo and has taught at various levels from K-12 to university courses. Currently, she works as a Math/Science Coach at Rochester Discovery Charter School and develops curriculum as a private consultant. She has authored several publications in peer-reviewed journals on topics related to mathematics education.
This document provides information about a precalculus and trigonometry workbook created by The Great Courses. It includes a biography of the workbook's author, Professor Bruce H. Edwards of the University of Florida. The workbook is designed to accompany Professor Edwards' Great Courses lecture series on precalculus and contains 30 lesson guides on topics ranging from functions and complex numbers to trigonometric identities, vectors, and conic sections. It is published by The Great Courses, an educational media company located in Chantilly, Virginia.
William Allan Kritsonis has over 40 years of experience in higher education. He received his PhD from the University of Iowa and is currently a tenured professor at Prairie View A&M University, where he teaches both PhD and master's level courses in educational leadership. He has published extensively and served as the editor-in-chief of National FORUM Journals for over 30 years.
Here are a few key points about the joys of teaching:
- Witnessing student growth and learning. Teachers find joy and fulfillment in seeing students develop new skills, gain knowledge, and achieve milestones. It's rewarding to play a role in students' intellectual and personal journeys.
- Encouraging lifelong learning. Teachers help instill in students a love of learning that extends beyond the classroom. They challenge students to be curious, think critically, and continue expanding their minds throughout life.
- Personal growth. Teaching provides opportunities for teachers' own learning and development as they research new topics, develop lesson plans, and adapt to students' diverse needs and backgrounds. It allows teachers to stay engaged with new ideas
This document provides biographical information about the authors and reviewer of the textbook "Educational Psychology." It includes:
- Brief bios of the two authors, Kelvin Seifert and Rosemary Sutton, including their educational backgrounds and areas of research expertise.
- A short bio of the reviewer, Sandra Deemer, including her areas of teaching and research focus.
- It concludes with a table of contents for the "Educational Psychology" textbook.
John D. Best is an Associate Professor of Mathematics and Director of Secondary Mathematics Education at Summit University. He received his Ph.D. in Mathematics from Binghamton University and has over 30 years of experience teaching mathematics at the secondary and post-secondary levels. His research interests include connections between high school and college mathematics, assessment, and taxicab geometry.
Dr. Kritsonis Honored as Professor, Scholar & Pioneer Publisher
The Texas National Association for Multicultural Education honored Dr. William Allan Kritsonis as a Professor, Scholar, and Pioneer Publisher for Distinguished Service to Multicultural Research Publishing. The ceremony was on April 28th 2012 at Texas A&M University, College Station, Texas.
Here are a few key points about a career in medical psychology:
- Medical psychology involves applying psychological principles to healthcare and medical issues. Psychologists work in various medical settings like hospitals, clinics, private practices, etc.
- Some areas medical psychologists work in include neuropsychology, health psychology, rehabilitation psychology, pediatric psychology, clinical health psychology, and more.
- Typical duties involve assessing and treating patients, conducting research, providing psychotherapy and counseling, consulting with other medical professionals, educating patients, and more.
- Medical psychologists often help patients cope with chronic or serious medical conditions, recover from injuries/illnesses, manage pain or other symptoms, adhere to treatment plans, and improve their overall health and well-being
Elizabeth Walker has over 30 years of experience in mathematics education. She holds a Ph.D. in Mathematics Education from the University at Buffalo and has taught at various levels from K-12 to university courses. Currently, she works as a Math/Science Coach at Rochester Discovery Charter School and develops curriculum as a private consultant. She has authored several publications in peer-reviewed journals on topics related to mathematics education.
This document provides instructions for a WebQuest lesson on mathematicians for a 9th grade geometry class. Students are each assigned a famous mathematician to research using provided websites. They then choose a method to present what they learned about their mathematician to the class, such as a speech, PowerPoint, or song. The document includes sections on the tasks, research and presentation process, evaluation rubric, and conclusion of the lesson.
This WebQuest guides 9th grade geometry students through a research project on important historical mathematicians. Students are each assigned a mathematician and must research their life, discoveries, and contributions using provided online resources. They then choose a method to present what they learned to the class, such as a speech, PowerPoint, or song. The WebQuest provides evaluation criteria and concludes by noting how mathematics advances through people making discoveries over time.
This document provides instructions for a WebQuest lesson for 9th grade geometry students. Students are each assigned a historical mathematician and must research their assigned mathematician using provided websites. They then present their findings to the class using a presentation method of their choice while including a graphic organizer. The document includes sections on the task, research process, evaluation rubric, and conclusion of the WebQuest lesson.
This letter provides a recommendation for Mr. Ty Fitzgerald from David W. Rensberger, a science teacher and chair at Wyoming Middle School. Over the course of seven years teaching engineering courses at Wyoming High School, Mr. Fitzgerald worked to recruit students to engineering programs and foster a hands-on, student-centered STEAM environment. He organized demonstrations and tours of the high school engineering lab for middle school students. Students who visited Mr. Rensberger's classroom were excited about Mr. Fitzgerald's engineering class due to its enthusiasm and hands-on nature. It was easy for Mr. Rensberger to recommend Mr. Fitzgerald's course to students because of his efforts and the success of his students.
This document provides information about a course on money and banking taught by Professor Michael K. Salemi. It begins with endorsements of The Great Courses series from prominent publications. It then provides biographical information about Professor Salemi, including his educational background and areas of expertise. The document concludes with a table of contents that lists the titles of the 24 lectures in the course.
This curriculum vita outlines the educational and professional background of William Allan Kritsonis. It summarizes that he holds a PhD in Educational Administration and Supervision from The University of Iowa from 1976. He has over 40 years of experience working in various professor and administrative roles in education. Currently, he is a tenured professor at Prairie View A&M University, where he has worked since 2004.
This document provides an overview and scope of the course "Understanding Calculus II: Problems, Solutions, and Tips". The course aims to further students' understanding of calculus through solving problems and its applications in science and engineering. It covers topics like differential equations, infinite series, and vector-valued functions. The goal is to illustrate how calculus can model real-world situations in physics, biology, geology and other fields. The course follows a standard university calculus curriculum and provides examples to enhance conceptual understanding without theoretical proofs. It also incorporates the use of graphing technology.
School administration practicum_portfolio2_-_fall_2010_-_spring_2011 (1)moorejb
The artifacts summarize a study conducted by the Social Studies department at Benjamin Banneker Middle School to analyze the effectiveness of the co-teaching model for special education students. Assessment scores from three marking periods were collected and analyzed to determine if the co-teaching model had a greater impact on male or female students' achievement. The results showed that most special education students were performing below average, though students believed the co-teaching model positively impacted their learning. The data will be used to improve instructional practices and class structures to better support special education students.
Elizabeth Walker has extensive experience in mathematics education. She holds a Ph.D. in Mathematics Education and has taught at various levels from elementary school through graduate school. Her work focuses on improving mathematics instruction, developing teacher training, and conducting research on conceptual understanding in mathematics.
This document provides information about an educational course workbook on understanding calculus by Professor Bruce H. Edwards of the University of Florida. It includes a biography of Professor Edwards, who has won numerous teaching awards and authored many mathematics textbooks. The workbook contains 36 lessons covering topics in calculus from limits to differential equations, with the goal of helping students understand calculus concepts, solve problems, and learn helpful tips. It is published by The Great Courses, an educational media company known for capturing expert university lectures on video and audio.
This document provides an overview and recording of a webinar on using data to inform teaching. The webinar was hosted by faculty and graduate students from the University of Texas at Arlington's Department of Curriculum and Instruction. It included presentations on collecting and analyzing various types of student data, using data to determine instructional strategies and student groupings, and involving students in the data analysis process. Links were also provided to recordings of the webinar and upcoming related events.
William Allan Kritsonis is a professor of educational leadership at Prairie View A&M University. He has over 40 years of experience in education, including serving as a visiting scholar at Stanford and Columbia Universities. He has chaired over 20 doctoral dissertations. His research focuses on educational leadership, research methods, and multicultural education. He is the founder of National FORUM Journals, which has published over 5,000 professors. His goals for 2012 are to teach and mentor students while continuing his research.
William Allan Kritsonis, PhD (California Presentation)William Kritsonis
William Allan Kritsonis is a professor of educational leadership at Prairie View A&M University. He has over 40 years of experience in education, including serving as a visiting scholar at Stanford and Columbia Universities. He has chaired over 20 doctoral dissertations. His research focuses on educational leadership, research methods, and multicultural education. He is the founder of National FORUM Journals, which has published over 5,000 professors. His goals for 2012 are to teach, mentor students, provide service, and continue his professional development and research.
This document provides the syllabus for a Communication Research course taught in Fall 2017. It includes information about the instructor, course description and learning objectives, required textbook, class schedule, assignments including a literature review, research project, and exams, grading breakdown, and policies regarding attendance, participation, late work, and academic integrity. The course aims to introduce students to methods of social scientific research as applied to communication by having them master concepts and skills in both qualitative and quantitative analysis through in-class exercises, assignments, and a culminating research project.
The Superintendent's Bulletin provides timely information about meetings, professional development, curriculum development, grants, and job postings. It announces an upcoming school committee meeting, a deadline to submit healthcare reimbursement receipts, and lists upcoming professional development courses including ones on anti-racist teaching practices and mindfulness in education. It also provides information on summer workshops for teachers on the industrial revolution, and lists current job openings.
This document is a curriculum vitae for Mark Beaven, a sociology graduate student at Oklahoma State University. It outlines his education, research interests in areas like research methods and community development, peer-reviewed publications, conference presentations, professional memberships, teaching experience as a graduate assistant, and references.
The document is a vita for William Allan Kritsonis that outlines his educational background, licenses, work history, publications, and awards. It shows that he received his PhD in Educational Administration and Supervision from the University of Iowa in 1976. He has since held various professor and administrative roles, publishing extensively and receiving honors like the William H. Parker Leadership Academy Hall of Honor Award.
The Superintendent's Bulletin provides timely information about meetings, professional development, curriculum development, grants, job postings, and school committee news. It announces that all Wellesley Public Schools employees will receive training on Massachusetts' new Conflict of Interest Law after Thanksgiving. The EMI spring course schedule provides anti-racist teaching and action research course opportunities. Personnel announcements include resignations, leaves of absence, and recognitions. Congratulations are given to staff on family events. Leadership and teaching opportunities are posted.
A teacher provides education for students and pupils. The role of a teacher is to provide instruction in various academic subjects depending on the culture. To become a teacher, one must obtain certain professional qualifications from a university or college which may include a bachelor's degree, state certification, and continuing professional development. The ideal teacher explains material in a way students understand, demonstrates concepts, has a good sense of humor, and inspires students to do their best.
Tucson tutoring near me? Well, Tutor Expert is your stay! Visit us for best teaching methods and a highly professional and experienced staff that help kids learn in an easy way. See our schedules, fee structures and more.
This document provides an overview of the scope and topics that will be covered in the course "Big Data: How Data Analytics Is Transforming the World". The course will demonstrate how various organizations are using new types of data and analytical tools to improve operations. It will cover important data analysis tools and techniques, including graphing data, data preparation, regression, anomaly detection, simulation, clustering, and network analysis. A variety of case studies will illustrate how these different methods have been applied successfully. The goal is to help learners understand the data analysis process and choose appropriate tools to analyze data sets of interest.
This course explores the pragmatic benefits of diversity and how differences in thinking contribute to collective performance. It will show how diversity improves prediction, problem solving, and makes systems more robust. The key ideas have the potential to transform how we think, live, and work in groups from classrooms to societies. Specifically, the course will examine how diverse talent and ways of thinking promote innovation and economic growth. It will also discuss several theoretical results, such as the diversity prediction theorem and how crowds can be wise. The overarching goal is to understand diversity as a scientific concept and as a driver of success in complex systems.
This document provides instructions for a WebQuest lesson on mathematicians for a 9th grade geometry class. Students are each assigned a famous mathematician to research using provided websites. They then choose a method to present what they learned about their mathematician to the class, such as a speech, PowerPoint, or song. The document includes sections on the tasks, research and presentation process, evaluation rubric, and conclusion of the lesson.
This WebQuest guides 9th grade geometry students through a research project on important historical mathematicians. Students are each assigned a mathematician and must research their life, discoveries, and contributions using provided online resources. They then choose a method to present what they learned to the class, such as a speech, PowerPoint, or song. The WebQuest provides evaluation criteria and concludes by noting how mathematics advances through people making discoveries over time.
This document provides instructions for a WebQuest lesson for 9th grade geometry students. Students are each assigned a historical mathematician and must research their assigned mathematician using provided websites. They then present their findings to the class using a presentation method of their choice while including a graphic organizer. The document includes sections on the task, research process, evaluation rubric, and conclusion of the WebQuest lesson.
This letter provides a recommendation for Mr. Ty Fitzgerald from David W. Rensberger, a science teacher and chair at Wyoming Middle School. Over the course of seven years teaching engineering courses at Wyoming High School, Mr. Fitzgerald worked to recruit students to engineering programs and foster a hands-on, student-centered STEAM environment. He organized demonstrations and tours of the high school engineering lab for middle school students. Students who visited Mr. Rensberger's classroom were excited about Mr. Fitzgerald's engineering class due to its enthusiasm and hands-on nature. It was easy for Mr. Rensberger to recommend Mr. Fitzgerald's course to students because of his efforts and the success of his students.
This document provides information about a course on money and banking taught by Professor Michael K. Salemi. It begins with endorsements of The Great Courses series from prominent publications. It then provides biographical information about Professor Salemi, including his educational background and areas of expertise. The document concludes with a table of contents that lists the titles of the 24 lectures in the course.
This curriculum vita outlines the educational and professional background of William Allan Kritsonis. It summarizes that he holds a PhD in Educational Administration and Supervision from The University of Iowa from 1976. He has over 40 years of experience working in various professor and administrative roles in education. Currently, he is a tenured professor at Prairie View A&M University, where he has worked since 2004.
This document provides an overview and scope of the course "Understanding Calculus II: Problems, Solutions, and Tips". The course aims to further students' understanding of calculus through solving problems and its applications in science and engineering. It covers topics like differential equations, infinite series, and vector-valued functions. The goal is to illustrate how calculus can model real-world situations in physics, biology, geology and other fields. The course follows a standard university calculus curriculum and provides examples to enhance conceptual understanding without theoretical proofs. It also incorporates the use of graphing technology.
School administration practicum_portfolio2_-_fall_2010_-_spring_2011 (1)moorejb
The artifacts summarize a study conducted by the Social Studies department at Benjamin Banneker Middle School to analyze the effectiveness of the co-teaching model for special education students. Assessment scores from three marking periods were collected and analyzed to determine if the co-teaching model had a greater impact on male or female students' achievement. The results showed that most special education students were performing below average, though students believed the co-teaching model positively impacted their learning. The data will be used to improve instructional practices and class structures to better support special education students.
Elizabeth Walker has extensive experience in mathematics education. She holds a Ph.D. in Mathematics Education and has taught at various levels from elementary school through graduate school. Her work focuses on improving mathematics instruction, developing teacher training, and conducting research on conceptual understanding in mathematics.
This document provides information about an educational course workbook on understanding calculus by Professor Bruce H. Edwards of the University of Florida. It includes a biography of Professor Edwards, who has won numerous teaching awards and authored many mathematics textbooks. The workbook contains 36 lessons covering topics in calculus from limits to differential equations, with the goal of helping students understand calculus concepts, solve problems, and learn helpful tips. It is published by The Great Courses, an educational media company known for capturing expert university lectures on video and audio.
This document provides an overview and recording of a webinar on using data to inform teaching. The webinar was hosted by faculty and graduate students from the University of Texas at Arlington's Department of Curriculum and Instruction. It included presentations on collecting and analyzing various types of student data, using data to determine instructional strategies and student groupings, and involving students in the data analysis process. Links were also provided to recordings of the webinar and upcoming related events.
William Allan Kritsonis is a professor of educational leadership at Prairie View A&M University. He has over 40 years of experience in education, including serving as a visiting scholar at Stanford and Columbia Universities. He has chaired over 20 doctoral dissertations. His research focuses on educational leadership, research methods, and multicultural education. He is the founder of National FORUM Journals, which has published over 5,000 professors. His goals for 2012 are to teach and mentor students while continuing his research.
William Allan Kritsonis, PhD (California Presentation)William Kritsonis
William Allan Kritsonis is a professor of educational leadership at Prairie View A&M University. He has over 40 years of experience in education, including serving as a visiting scholar at Stanford and Columbia Universities. He has chaired over 20 doctoral dissertations. His research focuses on educational leadership, research methods, and multicultural education. He is the founder of National FORUM Journals, which has published over 5,000 professors. His goals for 2012 are to teach, mentor students, provide service, and continue his professional development and research.
This document provides the syllabus for a Communication Research course taught in Fall 2017. It includes information about the instructor, course description and learning objectives, required textbook, class schedule, assignments including a literature review, research project, and exams, grading breakdown, and policies regarding attendance, participation, late work, and academic integrity. The course aims to introduce students to methods of social scientific research as applied to communication by having them master concepts and skills in both qualitative and quantitative analysis through in-class exercises, assignments, and a culminating research project.
The Superintendent's Bulletin provides timely information about meetings, professional development, curriculum development, grants, and job postings. It announces an upcoming school committee meeting, a deadline to submit healthcare reimbursement receipts, and lists upcoming professional development courses including ones on anti-racist teaching practices and mindfulness in education. It also provides information on summer workshops for teachers on the industrial revolution, and lists current job openings.
This document is a curriculum vitae for Mark Beaven, a sociology graduate student at Oklahoma State University. It outlines his education, research interests in areas like research methods and community development, peer-reviewed publications, conference presentations, professional memberships, teaching experience as a graduate assistant, and references.
The document is a vita for William Allan Kritsonis that outlines his educational background, licenses, work history, publications, and awards. It shows that he received his PhD in Educational Administration and Supervision from the University of Iowa in 1976. He has since held various professor and administrative roles, publishing extensively and receiving honors like the William H. Parker Leadership Academy Hall of Honor Award.
The Superintendent's Bulletin provides timely information about meetings, professional development, curriculum development, grants, job postings, and school committee news. It announces that all Wellesley Public Schools employees will receive training on Massachusetts' new Conflict of Interest Law after Thanksgiving. The EMI spring course schedule provides anti-racist teaching and action research course opportunities. Personnel announcements include resignations, leaves of absence, and recognitions. Congratulations are given to staff on family events. Leadership and teaching opportunities are posted.
A teacher provides education for students and pupils. The role of a teacher is to provide instruction in various academic subjects depending on the culture. To become a teacher, one must obtain certain professional qualifications from a university or college which may include a bachelor's degree, state certification, and continuing professional development. The ideal teacher explains material in a way students understand, demonstrates concepts, has a good sense of humor, and inspires students to do their best.
Tucson tutoring near me? Well, Tutor Expert is your stay! Visit us for best teaching methods and a highly professional and experienced staff that help kids learn in an easy way. See our schedules, fee structures and more.
This document provides an overview of the scope and topics that will be covered in the course "Big Data: How Data Analytics Is Transforming the World". The course will demonstrate how various organizations are using new types of data and analytical tools to improve operations. It will cover important data analysis tools and techniques, including graphing data, data preparation, regression, anomaly detection, simulation, clustering, and network analysis. A variety of case studies will illustrate how these different methods have been applied successfully. The goal is to help learners understand the data analysis process and choose appropriate tools to analyze data sets of interest.
This course explores the pragmatic benefits of diversity and how differences in thinking contribute to collective performance. It will show how diversity improves prediction, problem solving, and makes systems more robust. The key ideas have the potential to transform how we think, live, and work in groups from classrooms to societies. Specifically, the course will examine how diverse talent and ways of thinking promote innovation and economic growth. It will also discuss several theoretical results, such as the diversity prediction theorem and how crowds can be wise. The overarching goal is to understand diversity as a scientific concept and as a driver of success in complex systems.
This document provides an overview of a course on mathematical visualization. It introduces the professor, James S. Tanton, and outlines the scope and topics that will be covered in the course. The course uses visualizations to build understanding of mathematical concepts. It begins with basic arithmetic and counting, using pictures to add all the numbers from 1 to 1000 quickly. It then covers visualizing negative numbers, ratios, multiplication, areas, place value, long division, decimals, fractions, infinities, probability, combinatorics, Pascal's triangle, Fibonacci numbers, graphs, quadratics, balance points, and fixed points. The goal is to reveal mathematics as robust, complete, and pleasing through the power of visual thinking.
This lecture introduces several games and puzzles to demonstrate how a mathematician approaches game play and problem solving. Examples covered include tic-tac-toe, the game of 21, and the Tower of Hanoi puzzle. Effective strategies discussed are working backward from the goal, exploiting symmetry, and careful counting of possibilities. The lecture illustrates that mathematical thinking can improve one's ability to play games and solve puzzles.
This lecture introduces the concept that mathematics can be a source of joy through its applications, beauty, and certainty. Some key points:
- Mathematics is the language of science and can model real-world phenomena like compound interest and motion.
- Mathematics brings order and trains logical thinking, but problems can often be solved in multiple creative ways.
- Patterns and relationships in mathematics, like those involving numbers that add up to 20, can be aesthetically pleasing.
- Games use mathematics concepts like probability and counting to become a better player.
- The course will cover topics from high school to college math, including fundamental theorems and unsolved problems, with a focus on intriguing concepts like infinity.
This course teaches techniques for performing mathematical calculations mentally. It begins with the basics of addition, subtraction, multiplication, and division. Later lectures cover more advanced topics like estimation, different methods for written calculations, strategies for large multiplications, memorizing numbers, calculating calendar dates, and the techniques used by experts in mental math. The goal is to build number sense and skills that can be useful for school, work, and everyday life.
This course introduces students to the art of mathematical proofs through examples from geometry, set theory, number theory, and other areas of mathematics. It begins with the basics of logic and proof techniques before exploring direct proofs, indirect proofs, proofs by induction, and other methods. The goal is for students to appreciate the beauty and creativity involved in rigorous mathematical arguments.
This document provides an overview of a course on using math concepts in magic tricks. The course consists of 12 lessons that teach mathematical card tricks, mental math skills, geometric and topological illusions, and magic squares. The goal is for students to learn tricks that make them appear skilled at cards, calculations, psychic abilities, and more. Many tricks use everyday props like cards and coins, with math incorporated but sometimes concealed. By the end of the course, students will be able to perform impressive tricks for others in an entertaining way.
This document is a workbook for a course on geometry titled "Geometry: An Interactive Journey to Mastery". It contains 36 lessons on various geometry topics, such as angles, parallel lines, polygons, the Pythagorean theorem, and coordinate geometry. Each lesson includes examples, practice problems, and figures to illustrate key concepts. The workbook is published by The Great Courses and was written by Professor James S. Tanton of the Mathematical Association of America.
The document provides hints and solutions to selected problems from Page 140. It addresses issues with integrals, derivatives, limits, and other calculus concepts. In under 3 sentences, it summarizes key calculus principles and techniques for solving problems from the given page.
Este documento habla sobre la importancia de la privacidad y la seguridad en línea en la era digital. Explica que los datos personales ahora se comparten ampliamente en Internet y las redes sociales, por lo que es fundamental que los usuarios protejan su información personal y estén alertas sobre posibles amenazas cibernéticas.
The research center at Stanford Research Institute aims to develop principles for designing computer systems that can augment human intellect. The center has 12 workstations connected to a time-sharing computer. Researchers use the workstations to develop these augmentation systems, making them both the subject and developer of the research. The goal is to eventually do all work online by placing documents, code, and more in the computer and interacting via the workstations.
This document discusses the history and foundations of probability theory. It covers key thinkers such as Laplace, Maxwell, Keynes, Jeffreys, de Finetti, Kolmogorov, and Cox. Cox's 1946 work generalizing Boolean logic to degrees of belief is identified as inspiring significant further investigation due to leaving conceptual issues to be explored. Developments inspired by Cox's work are then briefly mentioned, such as investigations into alternate axioms, efficiently employing logical operations, and deriving Feynman rules for quantum mechanics.
Este documento presenta información sobre estadística, incluyendo objetivos, actividades, definiciones de términos como población, muestra, variable, distribución de frecuencias y medidas de tendencia central. Explica cómo recopilar y comunicar datos utilizando procedimientos adecuados como tablas y gráficos.
Este documento presenta un libro introductorio sobre teoría de números. El libro comienza definiendo los números naturales usando los axiomas de Peano y luego procede a desarrollar temas como la adición y multiplicación de números naturales, divisibilidad, números primos, congruencias y fracciones continuas. El libro incluye numerosos ejemplos y ejercicios con el fin de facilitar la comprensión de los conceptos teóricos.
Este documento presenta el contenido de un curso de álgebra lineal en la Universidad de Los Andes. El contenido incluye geometría en Rn, matrices, sistemas de ecuaciones lineales, dimensiones, rangos, transformaciones lineales, espacios vectoriales, números complejos, determinantes, valores y vectores propios, ortogonalidad, cambio de base y más. El documento define conceptos básicos como vectores, operaciones con vectores, combinaciones lineales, normas, producto punto, ángulos y paralelismo/perpendicularidad en Rn
Este documento presenta las notas de un curso de álgebra lineal dictado en la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires. Incluye los temas básicos de álgebra lineal como espacios vectoriales, subespacios, sistemas de ecuaciones lineales, independencia lineal, bases, matrices, transformaciones lineales, el espacio dual, determinantes, y diagonalización de matrices. Las notas están dirigidas a estudiantes de licenciatura y profesorado en matemáticas.
Este documento presenta un libro de problemas resueltos de cálculo para estudiantes de primer año. El libro contiene soluciones detalladas a problemas comunes de álgebra, funciones, límites, derivadas y aplicaciones de la derivada para ayudar a los estudiantes a comprender mejor los conceptos básicos del cálculo. El autor espera que este texto facilite el estudio y la comprensión de los estudiantes en su primer curso de cálculo.
Este documento presenta una introducción a la lógica de proposiciones. Explica conceptos como proposiciones, valores de verdad, proposiciones compuestas, variables de enunciado y tablas de verdad. También describe las conexiones lógicas entre proposiciones como conjunción, disyunción, negación, implicación y equivalencia lógica. El documento proporciona ejemplos y tablas de verdad para ilustrar cada uno de estos conceptos fundamentales de la lógica proposicional.
La pandemia de COVID-19 ha tenido un impacto significativo en la economía mundial y las vidas de las personas. Muchos países han impuesto medidas de confinamiento que han cerrado negocios y escuelas, y han pedido a la gente que se quede en casa tanto como sea posible para frenar la propagación del virus. A medida que los países comienzan a reabrir gradualmente, los gobiernos y las empresas deben encontrar formas de reanudar las actividades económicas de manera segura sin poner en peligro los avances realizados para controlar el virus
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxEduSkills OECD
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
The chapter Lifelines of National Economy in Class 10 Geography focuses on the various modes of transportation and communication that play a vital role in the economic development of a country. These lifelines are crucial for the movement of goods, services, and people, thereby connecting different regions and promoting economic activities.
A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
3. i
James A. Sellers, Ph.D.
Professor of Mathematics and Director of Undergraduate Mathematics
The Pennsylvania State University
P
rofessor James A. Sellers is Professor of Mathematics and the Director
of Undergraduate Mathematics at The Pennsylvania State University.
From 1992 to 2001, he was a mathematics professor at Cedarville
University in Ohio. Professor Sellers received his B.S. in Mathematics in
1987 from The University of Texas at San Antonio, the city in which he was
raised. He received his Ph.D. in Mathematics in 1992 from Penn State. There
he worked under the direction of his Ph.D. advisor, David Bressoud, and
learned a great deal about the beauty of number theory, especially the theory of
integer partitions. Professor Sellers has written numerous research articles on
partitions and related topics; to date, more than 60 of his papers have appeared
in a wide variety of peerreviewed journals. He is especially fond of coauthoring papers with his undergraduate
students; his list of coauthors includes 8 undergraduates he has mentored during his career. Professor Sellers
was privileged to spend the spring semester of 2008 as a visiting scholar at the Isaac Newton Institute at the
University of Cambridge, pursuing further studies linking the subjects of partitions and graph theory.
Professor Sellers’s teaching reputation is outstanding. He was named the Cedarville University Faculty Scholar
of the Year in 1999, a distinct honor at that institution. After moving to Penn State, he received the Mary Lister
McCammon Award for Distinguished Undergraduate Teaching from his department in 2005. One year later,
he received the Mathematical Association of America Allegheny Mountain Section Award for Distinguished
Teaching. Since then, he has received the Teresa Cohen Mathematics Service Award from the Penn State
Department of Mathematics (2007) and the Mathematical Association of America Allegheny Mountain Section
Mentoring Award (2009).
Professor Sellers has enjoyed many interactions at the high school and middle school levels. He served as an
instructor of middle school students in the TexPREP program in San Antonio, Texas, for 3 summers. He worked
with Saxon Publishers on revisions to a number of its high school textbooks in the 1990s. As a home educator
and father of 5, he has spoken to various home education organizations about mathematics curricula and
teaching issues.
Professor Sellers is well known as an entertaining and gifted speaker. He has spoken at numerous college,
university, and high school venues about partitions and combinatorics. He has also spoken at conferences and
seminars across the United States, sharing results related to his own research as well as his views on teaching
and advising undergraduate students. ■
4. Table of Contents
ii
LECTURE GUIDES
INTRODUCTION
Professor Biography................................................................................................................................i
Scope .....................................................................................................................................................1
LESSON 1
An Introduction to the Course.................................................................................................................2
LESSON 2
Order of Operations................................................................................................................................5
LESSON 3
Percents, Decimals, and Fractions.........................................................................................................8
LESSON 4
Variables and Algebraic Expressions ...................................................................................................11
LESSON 5
Operations and Expressions ................................................................................................................14
LESSON 6
Principles of Graphing in 2 Dimensions................................................................................................17
LESSON 7
Solving Linear Equations, Part 1 ..........................................................................................................20
LESSON 8
Solving Linear Equations, Part 2 ..........................................................................................................23
LESSON 9
Slope of a Line......................................................................................................................................26
LESSON 10
Graphing Linear Equations, Part 1 .......................................................................................................31
LESSON 11
Graphing Linear Equations, Part 2 .......................................................................................................38
LESSON 12
Parallel and Perpendicular Lines..........................................................................................................42
LESSON 13
Solving Word Problems with Linear Equations.....................................................................................45
LESSON 14
Linear Equations for Real-World Data..................................................................................................48
LESSON 15
Systems of Linear Equations, Part 1 ....................................................................................................51
5. iii
Table of Contents
LESSON 16
Systems of Linear Equations, Part 2 ....................................................................................................55
LESSON 17
Linear Inequalities ................................................................................................................................59
LESSON 18
An Introduction to Quadratic Polynomials ............................................................................................63
LESSON 19
Factoring Trinomials .............................................................................................................................65
LESSON 20
Quadratic Equations—Factoring ..........................................................................................................68
LESSON 21
Quadratic Equations—The Quadratic Formula ....................................................................................70
LESSON 22
Quadratic Equations—Completing the Square.....................................................................................74
LESSON 23
Representations of Quadratic Functions ..............................................................................................78
LESSON 24
Quadratic Equations in the Real World ................................................................................................83
LESSON 25
The Pythagorean Theorem...................................................................................................................86
LESSON 26
Polynomials of Higher Degree..............................................................................................................89
LESSON 27
Operations and Polynomials.................................................................................................................91
LESSON 28
Rational Expressions, Part 1 ................................................................................................................93
LESSON 29
Rational Expressions, Part 2 ................................................................................................................96
LESSON 30
Graphing Rational Functions, Part 1 ....................................................................................................99
LESSON 31
Graphing Rational Functions, Part 2 ................................................................................................. 102
LESSON 32
Radical Expressions.......................................................................................................................... 106
LESSON 33
Solving Radical Equations................................................................................................................. 109
6. Table of Contents
iv
LESSON 34
Graphing Radical Functions ...............................................................................................................112
LESSON 35
Sequences and Pattern Recognition, Part 1 ......................................................................................116
LESSON 36
Sequences and Pattern Recognition, Part 2 ......................................................................................118
SUPPLEMENTAL MATERIAL
Formula List....................................................................................................................................... 123
Solutions............................................................................................................................................ 124
Glossary ............................................................................................................................................ 220
Bibliography....................................................................................................................................... 223
7. 1
Algebra I
Scope:
T
his course is intended for students who have mastered the fundamentals of the operations of arithmetic
involving integers and fractions and who wish to move forward in their understanding of problem solving
via algebraic tools. The students will become familiar with the terminology and symbolic nature of first-
year algebra and will understand how to represent various types of functions (linear, quadratic, rational, and
radical) using algebraic rules, tables of data, and graphs. In the process, they will also become familiar with the
types of problems that can be solved using such functions, with a particular eye toward solving various types
of equations and inequalities. Additional topics, including the Pythagorean Theorem and sequences, will also
be considered.
The following threads will be emphasized throughout the course:
Multiple techniques to solve problems
The need to recognize when a given technique can be utilized
Various representations of mathematical data—algebraic rules, tabular data, graphs
Pattern recognition. ■
24. 18
Lesson6:PrinciplesofGraphingin2Dimensions
(0, 5)—As this point lies on an axis, it is not in a quadrant.
(−3, −2)—This point lies in Quadrant III (remember that the quadrants are labeled counterclockwise).
(−4, 1)—This point lies in Quadrant II.
52. 46
Lesson13:SolvingWordProblemswithLinearEquations
You can use the data from a table to write the slope-intercept form of the equation of a line. Remember,
the formula is y = mx = b. The slope is m and the y-intercept is b. Using this formula, you can calculate
the “missing values” in a table or predict values by plugging in new values for x.
91. 85
5. The volume of a cylinder is given by V = πr2
h where r is the radius of the cylinder and h is height.
In particular, if the raduis of the cylinder is 8 cm and the height is 6 cm, then the volume is given by
V = 6π82
which is a quadratic equation.
6. Find the radius of a cylinder with a height of 6 cm and a volume of 7,536 cm3
.