Title:  The Dance of Number: Dance Moves  Mastering Algebra and Mathematical Reasoning Volume 2 
Categories:  Biblical Integration 
BookID:  164 
Authors:  James Nickel 
ISBN10(13):  9780999105474 
Publisher:  Sound Mind Press 
Publication date:  20180807 
Number of pages:  588 
Language:  English 
Price:  0.00 
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Description: 
The Dance of Number, ideal for independent study, is a sequenced and tightly integrated curriculum involving four textbooks totaling 1924 pages (Grades 610, ages 1216) consisting of 14 chapters, called the steps of the Dance. The only prerequisite for the first textbook is above average reading comprehension. This curriculum starts from ground zero, teaches the basics of arithmetic from a fresh, vibrant perspective, and then takes the reader on a journey that leads to the borderlands of the mountain range called Calculus. There are plenty of side roads along the way where we stop to gaze at the scenic beauty (i.e., a unified look at principles of Algebra, Geometry, Trigonometry). It is a long trip; its completion is worth the effort. The texts are not named Algebra I or Algebra II, etc., because the fourvolume sequence tells an coordinated story engaging the student in the nature of the structure of number, the development of its history, and its interpenetration with science. As the student takes this journey, all the concepts of Arithmetic, high school Algebra, most of Geometry, and a complete study of Trigonometry are unfolded. This is volume 2 of Part 2 of The Dance of Number subtitled Dance Moves ... Mastering Algebra and Mathematical Reasoning (Steps 12 to 14). [General structure and specific features] This volume continues to teach the mastery of algebraic syntax as the following topics are explored: (1) Logarithms, (2) a complete course in Trigonometry, (3) Complex numbers and Fractal Geometry, (4) components of induction and deduction, along with geometric and algebraic demonstrations, (5) the indirect method of proof (reductio ad absurdum), (6) the startling revelations of number systems, (7) Internet security algorithms, (8) arithmetic and geometric sequences, finite and infinite, (9) Mathematical Induction, (10) an introduction to Differential Calculus reasoning along with the use of limits, (11) the world of polynomials, and (12) threedimensional geometry, including the Platonic solids. More geometric constructions are demonstrated. Pertinent and challenging quotes from mathematicians, scientists, and theologians appear throughout the text. The key proofs from the thirteen books of Euclidâ€™s Elements are described, applied, and seen in their historical context. To complete this thoroughly indexed text, an additional detailed solutions manual is available, a manual that includes the teacherâ€™s guide. A suggested scheduled along with a quiz and exam packet is also available. [Grade level] This text is aimed at grades 1011 (Algebra II, Trigonometry, Geometry, Mathematical reasoning). [Prerequisite] Successful completion of volume 1 of Part 2 of The Dance of Number (Steps 811). [Unique Feature] Here is a unique study of math that is grounded in Trinitarian theology: Discover the beauty of how math principles are interrelated; i.e., how they are interconnected and how they interpenetrate with the physical creation, revealing in a created way the uncreated perichoretic nature of the Triune Creator, Father, Son, and Holy Spirit, who mutually indwell each other in dynamic relationship of loving communion. 