• Complain

Dr. Jason VanBilliard - Mathematical Explorations for the Christian Thinker

Here you can read online Dr. Jason VanBilliard - Mathematical Explorations for the Christian Thinker full text of the book (entire story) in english for free. Download pdf and epub, get meaning, cover and reviews about this ebook. year: 2014, publisher: CreateSpace Independent Publishing Platform, genre: Science. Description of the work, (preface) as well as reviews are available. Best literature library LitArk.com created for fans of good reading and offers a wide selection of genres:

Romance novel Science fiction Adventure Detective Science History Home and family Prose Art Politics Computer Non-fiction Religion Business Children Humor

Choose a favorite category and find really read worthwhile books. Enjoy immersion in the world of imagination, feel the emotions of the characters or learn something new for yourself, make an fascinating discovery.

Dr. Jason VanBilliard Mathematical Explorations for the Christian Thinker
  • Book:
    Mathematical Explorations for the Christian Thinker
  • Author:
  • Publisher:
    CreateSpace Independent Publishing Platform
  • Genre:
  • Year:
    2014
  • Rating:
    5 / 5
  • Favourites:
    Add to favourites
  • Your mark:
    • 100
    • 1
    • 2
    • 3
    • 4
    • 5

Mathematical Explorations for the Christian Thinker: summary, description and annotation

We offer to read an annotation, description, summary or preface (depends on what the author of the book "Mathematical Explorations for the Christian Thinker" wrote himself). If you haven't found the necessary information about the book — write in the comments, we will try to find it.

What does it mean to learn math from a Christian perspective? This book is ideally suited for a Christian audience who wishes to significantly extend his or her knowledge of mathematics while developing biblical perspectives on the mathematical-philosophical questions posed in each section. Among other compelling issues, readers will wrestle with questions as to the relationships between God, nature, mathematics, and humans. The integration of Christian thought is weaved throughout the text. [**Note: there are two versions of this book. Read below for more details.] Through the mathematics content presented in this book, you will broaden your understanding of geometry by investigating dimensions, fractals, topological equivalence, and other geometries. You will develop your reasoning skills through identifying deception in statistics, discriminating between cause and correlation, evaluating various voting methods, and exploring chaos theory. Finally, you will refine your understanding of numbers and systems through studying prime, figurate, vampire, narcissistic, powerful, abundant, and transcendental numbers. After studying each mathematical topic, you will consider how the topic informs your answers to questions like: Who are we? What is the nature of reality? How do we know if something is true? What is good? What is beautiful? These questions and their related sub-questions have been part of the human experience from the dawn of human history. Considering how mathematics helps to inform these questions provides for a deeper, more meaningful understanding of mathematics and our world. This book is ideal for: - An undergraduate Mathematics for Liberal Arts course at a Christian college - A half-year senior mathematics elective as part of a focus on worldview at a Christian high school - A Christian homeschool family that wishes to extend their childrens learning beyond the standard curriculum in a Christian centered context - Anyone interested in extending his or her own understanding of the scope and depth of mathematics Each section features: - Introductory exercises that prompt the reader to recall relevant information or skills - Concept development sections that explain the mathematics for even the math-phobic student - Content sections that connect the mathematics to literature, art, music, science, and other subjects - A Something to Consider section that asks the reader to think about related enduring questions from a Christian perspective - Covering the Reading questions that help to process the text - Problems that require the reader to research and consider the topic more thoroughly [** There is another version of this book titled The Mathematical Expanse: Excursions into the Enduring Questions. That version asks many similar questions but is appropriate for a public school setting.]

Dr. Jason VanBilliard: author's other books


Who wrote Mathematical Explorations for the Christian Thinker? Find out the surname, the name of the author of the book and a list of all author's works by series.

Mathematical Explorations for the Christian Thinker — read online for free the complete book (whole text) full work

Below is the text of the book, divided by pages. System saving the place of the last page read, allows you to conveniently read the book "Mathematical Explorations for the Christian Thinker" online for free, without having to search again every time where you left off. Put a bookmark, and you can go to the page where you finished reading at any time.

Light

Font size:

Reset

Interval:

Bookmark:

Make

Mathematical Explorations

for the Christian Thinker

by Jason VanBilliard


Copyright 2014 Jason VanBilliard

All Rights Reserved.

ISBN-13: 978-1500795764

ISBN-10: 1500795763

Images in this text:

Uncited images used in this book are either in the public domain or created by the author and are released to the public domain. Other images with a URL are used under a Creative Commons ShareAlike License 2.0 and 3.0 and you are free: to share (to copy, distribute and transmit the work) and to remix (to adapt the work) under the following conditions: attribution -you must attribute the work in the manner specified in this work (but not in any way that suggests that they endorse you or your use of the work) and share alike - if you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

Cover art by

David Steininger


Preface

The goals of this book are different than those of many other mathematics books in your experience. First, I intend to expand your understanding of the world of mathematics. The typical K-12 curriculum focuses on arithmetic, algebra, and Euclidean geometry. Some students do reach the Holy Grail of Calculus but that subject is still in the same vein as the algebra/geometry track. You may ask, What else is out there? This book will help answer that question.

Secondly, this book shows how mathematics connects to the rest of life. This statement may cause you to think that you will see a lot of mathematical applications. You will not. Instead, after we study each mathematical topic, we will consider how this topic helps inform our answers to the enduring questions: Who are we? What is the nature of reality? How do we know if something is true? What is good? What is beautiful? These questions and their related sub-questions have been part of the human experience from the dawn of human history.

Finally, you should know that this book is unapologetically biblical in its approach. A biblical view of mathematics requires one to love God and love their neighbors through the study of mathematics. The pragmatic, applied study of mathematics does help the Christian to love his neighbor; however, without examining the creative discovery involved in studying mathematics, we do not fully appreciate God and his creation. Hence, creativity, reflection, and biblical integration opportunities are abundant. You will have the opportunity to answer important worldview questions from a biblical perspective in every chapter.

Acknowledgments

I would like to thank Martha MacCullough, who introduced me to a model for meaningful integration across all content areas, Debbie MacCullough, who helped me to fully apply that model to the field of mathematics, Timothy Yoder, who compelled me to write this book, Brenda Mellon Ebersole, who provided a detailed critique of my writing, two decades of students, who refined my practice of simplifying complex ideas, and my wife and children, who sacrificed many family hours during the writing process. Soli Deo Gloria.

To the Student

Each chapter is divided into four major sections. First, it is important that you take time to think about and complete each Warm-up Activity . Each activity is designed to help to start you down the path of thinking about relevant information or skills. Skipping these activities will make it more difficult for you to understand the content.

In the second and more robust Concept Development section, you will experience a topic in-depth. This includes making connections within mathematics as well as links to other subjects. Read this section slowly and carefully . One challenge most people face when reading mathematics is that they expect to be able to read mathematics the way they read a novel. Mathematics is different. You need to frequently pause to reflect on what you do and do not understand. You may ask, Can I give an example and non-example of that idea?, Do I need to reread that section?, or Could I explain that to someone else? It is important to reflect as you read.

The third section, Something to Think About, provides you with compelling questions that relate the mathematics you just learned to enduring questions. These questions may not be easy to answer; they are worthy of reflection and dialogue. You will continue to think about these types of questions long after finishing this book.

Each chapter ends with Covering the Reading questions and Problems. The Covering the Reading questions are designed to help you process what you have read. If you are unable to answer these questions, you should probably do some rereading. The expectations on the Problems are completely different. In mathematics, the difference between an exercise and a problem is that an exercise is something you already know how to do but should practice to gain mastery. A problem is something that you may not know how to do. In this section you will need to problem-solve. You may need to research. You may need to spend extra time reflecting. You may have to leave the problems and come back to the problems when your mind is refreshed. Taking time to reflect and do problems is usually necessary to fully understand what you have read.

To the Instructor

Unlike many mathematics books that serve as a reference, this book is meant to be read by the student. However, the methods for using this book heavily depend on your students reading comprehension skills, independent thinking skills, and study habits. I recommend three potential approaches.

Method 1: High-level student responsibility. The students read the text before class and complete the Covering the Reading questions. Class time is used to work with the teacher and small groups on questions about the subject and a review of the Covering the Reading questions. This may require a short lecture by the teacher related to a certain portion of the material. In addition, the teacher can reflect on her experiences with the topic. Students then do the Problems for homework and bring their work to the following class. Time is then spent discussing the problems as a class. This approach requires that the students be conscientious and that the teacher be flexible with the topics at hand.

Method 2: Mixed responsibility. The students read the text before class and complete the Covering the Reading questions. At the start of class, the teacher re-presents the material in his own way and incorporates the Covering the Reading into the interactive lesson. The teacher can then either assign the Problems for homework or pursue them as a class at the next meeting. This approach allows the teacher to present material in a different way than the book, one that may be more appropriate for a specific group of students. Essentially, the students would get the information in two different ways from two different people.

Method 3: High-level teacher responsibility. The teacher thoroughly presents the material in class. Students use the book as a resource while completing the Covering the Reading for homework or during the next class. Problems are handled the same way. This approach gives the teacher more control of the direction and pace of the course.

Each of these methods has its strengths and weaknesses. The way you use this book should be a function of who you and your students are. You may envision another way to use this book that is better than these three methods. Have fun teaching. I also hope that I have raised some questions you have never considered.

Chapter 0 Biblically Informed Mathematics

Humanity has forever pursued the enduring questions. They have also been called worldview issues and essential questions. The heart of this preoccupation is that humanity has been wrestling with the questions of existence, truth, purpose, beauty, and ethics from the dawn of time. Who am I? How did we get here? Is there a God? What is really real? How do we know if something is true? What is truth? Is there a basis for good and evil? What is beauty? Who determines what is true, good, and beautiful?

Next page
Light

Font size:

Reset

Interval:

Bookmark:

Make

Similar books «Mathematical Explorations for the Christian Thinker»

Look at similar books to Mathematical Explorations for the Christian Thinker. We have selected literature similar in name and meaning in the hope of providing readers with more options to find new, interesting, not yet read works.


Reviews about «Mathematical Explorations for the Christian Thinker»

Discussion, reviews of the book Mathematical Explorations for the Christian Thinker and just readers' own opinions. Leave your comments, write what you think about the work, its meaning or the main characters. Specify what exactly you liked and what you didn't like, and why you think so.