Text Set Project Annotated Books 1. Finding the Treasure: Coordinate Grids by Renata Brunner-Jass (Picture Book) This book introduces students to a new kind of treasure hunt called geocaching. Why is this important to math? Because in geocaching players use global positioning systems (GPS), devices to locate treasure. Whether you’re looking at a GPS map or a printed map, they are all based on grids. This book introduces five friends and their stories as they create their own geocaching game using coordinate grids on their maps to create clues for their treasure hunts. Along the way, you will learn how to use coordinate grids to plot data points from a table, label ordered pairs, and name coordinate points on a grid. Brunner-Jass, R. (2013). Finding the treasure:coordinate grids. (p. 48). Chicago, IL: Norwood House Press. 2. Pre-Algebra and Algebra by Lucille Caron and Philip M. St. Jacques (Expository) This book introduces the student gradually to the sphere of pre-algebra. It starts out with basic exercises with integers and rational numbers, and building on to explain variables, algebraic expressions, and algebraic sentences. The student will learn how to solve twostep and multistep equations, as well as inequalities. The student can read this as a supplement to the lesson to review skills and vocabulary. Caron, L., & Jacques, P. M. St. (2000). Pre-algebra and algebra. (p. 64). Berkeley Heights, NJ : Enslow Publishers, Inc. 3. The Math Chef by Joan D’Amico and Karen Eich Drummond (Cook Book) Text Set Project This book introduces the student to how math is involved in the kitchen. It is filled with more than 60 activities and recipes that help you practice math while you cook. Some examples are: measurement, multiplication, division, fractions, percents, and geometry. D'Amico, J., & Drummond, K. E. (1997). The math chef. (p. 180). New York, NY: John Wiley & Sons, Inc. 4. Country’s Best Cabins by Home Buyer Publications (Magazine) I included this magazine in this text set because it shows the importance of math. If any of these students take drafting or want to be a carpenter later in life, then this magazine will interest them. There are example floor plans and many dimensions within the pictures. This magazine emphasizes the importance of measurement, scales, and eyepleasing designs. Home Buyer Publications. (2013). Countr'ys best cabins. (Vol. 18, pp. 39-42). San Fracisco, CA: Active Interest Media Inc. 5. A Wrinkle In Time by Madeleine L’Engle (Novel) A Wrinkle in Time is the story of Meg Murry, a high-school-aged girl who is transported on an adventure through time and space to rescue her father, a gifted scientist, from the evil forces that hold him prisoner on another planet. She is accompanied by her younger brother Charles Wallace and her friend Calvin O'Keefe. The story begins with the arrival of Mrs. Whatsit at the Murry house on a dark and stormy evening. Mrs. Whatsit explains to Meg's mother the existence of a tesseract, which is a sort of "wrinkle" in space and time. It is through this wrinkle that Meg and her companions will travel through the fifth dimension in search of Mr. Murry. The three children learn from Mrs. Whatsit and her Text Set Project friends, Mrs. Who and Mrs. Which, that the universe is threatened by a great evil called the Dark Thing. Several planets have already succumbed to this evil force, including Camazotz, the planet on which Mr. Murry is imprisoned. Will Meg be able to save Mr. Murry and the universe? L'Engle, M. (1962). A wrinkle in time. (p. 203). New York, NY: Farrar, Straus, and Giroux. 6. Galileo Galilei by James MacLachlan (Biography) Galileo Galilei is just one of many important mathematicians. He established principles from his studies in philosophy, mathematics, music, astronomy, and engineering that laid the groundwork for physics. Although his views about the motion of Earth were unpopular in his time he persisted in challenging easily accepted conventional views. He wanted to inspire future generations to do the same. This book includes the story of Galileo’s education, theories about the motion of falling bodies, experiments with pendulums, and his important discoveries with his telescope. MacLachlan, J. (1997). Galileo galilei. (p. 117). New York, NY: Oxford University Press, Inc. 7. Math For Every Kid by Janice VanCleave (Activity Book) This book is filled with easy activities for students that make learning math fun. It uses simple problems and activities related to everyday life to teach kids about measurements, fractions, graphs, geometry figures, problem solving, and more. This helps display why math is important and helps kids feel comfortable with math. Each of the problems and activities is broken down into its purpose, materials needed, step-by-step instructions, Text Set Project expected results, and an explanation. Some example activities are: making a sun clock or creating a thermometer using a straw. VanCleave, J. (1991). Math for every kid. (p. 215). New York, NY: John Wiley & Sons, Inc. Text Set Project Analogies for Percents and Ratios & Pre-Algebra and Algebra 1. Measurement Square Inches : Area :: Inches Cubed : (Volume) 2. Time Second : Minute :: Hour : (Day) 3. Synonyms Multiply : Product :: Division : (Quotient) 4. Antonyms Add : Subtract :: Multiply : (Divide) 5. Part to Whole A=180° : Triangle :: A=360° : (Circle) Text Set Project Closed Word Sort for Pre-Algebra and Algebra Whole Numbers Integers Rational Numbers Word List 1. Real Number 2. Zero (0) 3. Positive Numbers 4. Repeating Decimals (.333333…) 5. Negative Numbers 6. Mixed Numbers (4/1) 7. Terminating Decimals (.5) Text Set Project Side One Word: Bilious Flashcards for A Wrinkle In Time Side Two Definition: easily irritated, relating to bile Synonyms/Antonyms Ornery/Amiable Irritable/Friendly Sentence: That bilious old dog snaps at everyone. Side One Word: Atrophied Side Two Definition: weakened and withered Synonyms/Antonyms Deteriorate/Ameliorate Decline/Enhance Sentence: The flowers atrophied without proper sunlight and water. Text Set Project LINCS for A Wrinkle In Time Tesseract A wrinkle in time/space that allows two points to be connected through a fifth dimension rather than forcing you to travel on a straight line. LINCing Story: Reminding Word: Short-cut Miasma Reminding Word: Vapor Short-cut through space between two points An unhealthy, frightening, poisonous atmosphere. LINCing Story: Red poisonous vapors stretching across the ground. Text Set Project Story Pyramid for A Wrinkle In Time s Meg Murry Impatient Murry family House Heroine Meg’s Attic Bedroom Alien Spaces Three children journey to find a missing man, and perhaps save the universe Fighting against a dark thing that blots out light (the Black Thing) The Guardians and the children will travel to Camazotz. There the Guardians can only watch as the children try to defeat the Black Thing. Meg finds her father, but had to face IT. She blacks out and her father rescues her by traveling to another dimension, but they leave Charles Wallace behind. The three Mrs. W’s tell Meg she is the only one who can defeat IT. Meg is scared, but goes back to Camazotz. Through the power of love Meg saves Charles Wallace and they all return home safely. Text Set Project People Search for A Wrinkle In Time Has read A Wrinkle In Time by Can relate to Megs feeling of Knows of someone who has Madeleine L’Engle. comfort and safety within their twin brothers/sisters like Meg. home. Has heard of either Gandhi, Buddha, Einstein, Bach, or Pasteur before reading this book. Knows someone who enjoys math like Meg. Is a fighter from Earth, like Meg. Text Set Project Other Important Mathematicians Pythagoras 570-495 BC Expansion of geometry, rigorous approach building from first principles, square and triangular numbers, Pythagoras’ theorem Hippocrates of Chios 470-410 BC First systematic compilation of geometrical knowledge, Lune of Hippocrates Plato 428-348 BC Platonic solids, statement of the Three Classical Problems, influential teacher of mathematics, insistence on rigorous proof and logical methods Aristotle 384-322 BC Development and standardization of logic (although not then considered part of mathematics) and deductive reasoning Euclid 300 BC Definitive statement of classical (Euclidean) geometry, use of axioms and postulates, many formulas, proofs and theorems including Euclid’s Theorem on infinitude of primes Archimedes 287-212 BC Formulas for areas of regular shapes, “method of exhaustion” for approximating areas and value of π, comparison of infinities Eratosthenes 276-195 BC “Sieve of Eratosthenes” method for identifying prime numbers Apollonius of Perga 262-190 BC Work on geometry, especially on cones and conic sections (ellipse, parabola, hyperbola) Hipparchus 190-120 BC Develop first detailed trigonometry tables Ptolemy 90-168 AD Develop even more detailed trigonometry tables Diophantus 200-284 AD Diophantine Analysis of complex algebraic problems, to find rational solutions to equations with several unknowns Brahmagupta 598-668 AD Basic mathematical rules for dealing with zero (+, - and x), negative numbers, negative roots of quadratic equations, solution of quadratic equations with two unknowns Muhammad Al-Khwarizmi 780-850 AD Advocacy of the Hindu numerals 1 - 9 and 0 in Islamic world, foundations of modern algebra, including algebraic methods of “reduction” and “balancing”, solution of polynomial equations up to second degree Muhammad Al-Karaji 953-1029 AD First use of proof by mathematical induction, including to prove the binomial theorem Leonardo of Pisa (Fibonacci) 1170-1250 Fibonacci Sequence of numbers, advocacy of the use of the Hindu-Arabic numeral system in Europe, Fibonacci's identity (product of two sums of two squares is itself a sum of two squares) Text Set Project Niccolò Fontana Tartaglia Gerolano Cardano Lodovico Ferrari René Descartes 1501-1576 1522-1565 1596-1650 Pierre de Fermat 1601-1665 Blaise Pascal 1623-1662 Isaac Newton 1643-1727 Gottfried Leibniz 1646-1716 Jacob Bernoulli 1654-1705 Leonhard Euler 1707-1783 Joseph Louis Lagrange 1736-1813 Formula for solving all types of cubic equations, involving first real use of complex numbers (combinations of real and imaginary numbers), Tartaglia’s Triangle (earlier version of Pascal’s Triangle) Published solution of cubic and quartic equations (by Tartaglia and Ferrari), acknowledged existence of imaginary numbers (based on √-1) Devised formula for solution of quartic equations Development of Cartesian coordinates and analytic geometry (synthesis of geometry and algebra), also credited with the first use of superscripts for powers or exponents Discovered many new numbers patterns and theorems (including Little Theorem, TwoSquare Thereom and Last Theorem), greatly extending knowlege of number theory, also contributed to probability Pioneer (with Fermat) of probability theory, Pascal’s Triangle of binomial coefficients Development of infinitesimal calculus (differentiation and integration), laid ground work for almost all of classical mechanics, generalized binomial theorem, infinite power series Independently developed infinitesimal calculus (his calculus notation is still used), also practical calculating machine using binary system (forerunner of the computer), solved linear equations using a matrix Helped to consolidate infinitesimal calculus, developed a technique for solving separable differential equations, added a theory of permutations and combinations to probability theory, Bernoulli Numbers sequence, transcendental curves Made important contributions in almost all fields and found unexpected links between different fields, proved numerous theorems, pioneered new methods, standardized mathematical notation and wrote many influential textbooks Comprehensive treatment of classical and celestial mechanics, calculus of variations, Text Set Project Pierre-Simon Laplace Joseph Fourier 1749-1827 1768-1830 Carl Friedrich Gauss 1777-1825 Augustin-Louis Cauchy Bernhard Riemann Georg Cantor 1826-1866 1845-1918 Henri Poincaré David Hilbert Kurt Gödel 1789-1857 1854-1912 1862-1943 1906-1978 Andrew Wiles 1953- Lagrange’s theorem of finite groups, foursquare theorem, mean value theorem Celestial mechanics translated geometric study of classical mechanics to one based on calculus, Bayesian interpretation of probability, belief in scientific determinism Studied periodic functions and infinite sums in which the terms are trigonometric functions (Fourier series) Pattern in occurrence of prime numbers, construction of heptadecagon, Fundamental Theorem of Algebra, exposition of complex numbers, least squares approximation method, Gaussian distribution, Gaussian function, Gaussian error curve, non-Euclidean geometry, Gaussian curvature Early pioneer of mathematical analysis, reformulated and proved theorems of calculus in a rigorous manner, Cauchy's theorem (a fundamental theorem of group theory) Non-Euclidean elliptic geometry, Riemann surfaces, Riemannian geometry (differential geometry in multiple dimensions), complex manifold theory, zeta function, Riemann Hypothesis Creator of set theory, rigorous treatment of the notion of infinity and transfinite numbers, Cantor's theorem (which implies the existence of an “infinity of infinities”) Partial solution to “three body problem”, foundations of modern chaos theory, extended theory of mathematical topology, Poincaré conjecture 23 “Hilbert problems”, finiteness theorem, “Entscheidungsproblem“ (decision problem), Hilbert space, developed modern axiomatic approach to mathematics, formalism Incompleteness theorems (there can be solutions to mathematical problems which are true but which can never be proved), Gödel numbering, logic and set theory Finally proved Fermat’s Last Theorem for all numbers (by proving the Taniyama-Shimura conjecture for semistable elliptic curves)