The Book of My Life

Girolamo Cardano
tradução de Jean Stoner

 New York: ep Dutton & Co. | 1930 | 362 páginas | pdf | 6,8 Mb

online: djm.cc

A bright star of the Italian Renaissance, Girolamo Cardano was an internationally-sought-after astrologer, physician, and natural philosopher, a creator of modern algebra, and the inventor of the universal joint. Condemned by the Inquisition to house arrest in his old age, Cardano wrote The Book of My Life, an unvarnished and often outrageous account of his character and conduct. Whether discussing his sex life or his diet, the plots of academic rivals or meetings with supernatural beings, or his deep sorrow when his beloved son was executed for murder, Cardano displays the same unbounded curiosity that made him a scientific pioneer. At once picaresque adventure and campus comedy, curriculum vitae, and last will, The Book of My Life is an extraordinary Renaissance self-portrait.

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Common Core Mathematics - Grades 9 to 12

O commom core mathematics é um currículo de matemática americano desenvolvido por uma equipa de educadores e investigadores em educação matemática, com base na investigação sobre o desenvolvimento cognitivo das crianças e na própria estrutura da matemática.

Common Core Mathematics is the most comprehensive Common Core State Standards-based mathematics curriculum available today.

• The modules are sequenced and paced to support the teaching of mathematics as an unfolding story that follows the logic of mathematics itself.
• They embody the instructional "shifts" and the standards for mathematical practice that are fundamental to the CCSS.
• Each module contains a sequence of les- sons that combine conceptual understanding, fluency, and application to meet the demands of each topic in the module.
• Formative assessments are included to support data-driven instruction.
• The modules are written by teams of master teachers and mathematicians.

Alguns elementos da equipa do projeto:

Richard Askey (reviewer); Sybilla Beckmann (writer); Douglas Clements (writer); Phil Daro (co-chair); Skip Fennell (reviewer); Brad Findell (writer); Karen Fuson (writer); Roger Howe (writer); Cathy Kessel (editor); William McCallum (chair); Bernie Madison (writer); Dick Scheaffer (writer); Denise Spangler (reviewer); Hung-Hsi Wu (writer); Jason Zimba (co-chair)

Os livros do currículo são comercializados em: eu.wiley.com
Maior parte do currículo está disponível, em versão, "draft" em engageny.org
Eis os que estão atualmente disponíveis:

	Grade 9 Module 1: Relationships Between Quantities and Reasoning with Equations Module 2: Descriptive Statistics Module 3: Linear and Exponential Relationships Module 4: Expressions and Equations Module 5: A Synthesis of Modeling with Equations and Functions
	Grade 10 Module 1: Congruence, Proof, and Constructions Module 2: Similarity, Proof, and Trigonometry Module 3: Extending to Three Dimensions Module 4: Connecting Algebra and Geometry through Coordinates Module 5: Circles With and Without Coordinates
	Grade 11 Module 1: Polynomial, Rational, and Radical Relationships Module 2: Trigonometric Functions
	Grade 12 Module 1: Complex Numbers and Transformations Module 2: Vectors and Matrices Module 3: Rational and Exponential Functions

Para mais livros sobre currículo de matemática procurar em: link

Common Core Mathematics - Grades k to 8

O commom core mathematics é um currículo de matemática americano desenvolvido por uma equipa de educadores e investigadores em educação matemática, com base na investigação sobre o desenvolvimento cognitivo das crianças e na própria estrutura da matemática.

Common Core Mathematics is the most comprehensive Common Core State Standards-based mathematics curriculum available today.

• The modules are sequenced and paced to support the teaching of mathematics as an unfolding story that follows the logic of mathematics itself.
• They embody the instructional "shifts" and the standards for mathematical practice that are fundamental to the CCSS.
• Each module contains a sequence of les- sons that combine conceptual understanding, fluency, and application to meet the demands of each topic in the module.
• Formative assessments are included to support data-driven instruction.
• The modules are written by teams of master teachers and mathematicians.

Alguns elementos da equipa do projeto:

Richard Askey (reviewer); Sybilla Beckmann (writer); Douglas Clements (writer); Phil Daro (co-chair); Skip Fennell (reviewer); Brad Findell (writer); Karen Fuson (writer); Roger Howe (writer); Cathy Kessel (editor); William McCallum (chair); Bernie Madison (writer); Dick Scheaffer (writer); Denise Spangler (reviewer); Hung-Hsi Wu (writer); Jason Zimba (co-chair)

Os livros do currículo são comercializados em: eu.wiley.com
Maior parte do currículo está disponível, em versão, "draft" em engageny.org
Eis os que estão atualmente disponíveis:

	Module 1: Count Numbers to 10 Module 2: Identify and Describe Shapes Module 3: Comparison with Length, Weight, and Numbers to 10 Module 4: Number Pairs, Addition, and Subtraction of Numbers to 10 Module 5: Numbers 10–20, Counting to 100 by 1 and 10 Module 6: Analyze, Compare, Create, and Compose Shapes
	Module 1: Sums and Differences to 10 Module 2: Place Value, Comparison, Addition and Subtraction of Numbers to 20 Module 3: Ordering and Expressing Length Measurements as Numbers Module 4: Place Value, Comparison, Addition and Subtraction of Numbers to 40 Module 5: Identify, Compose, and Partition Shapes Module 6: Place Value, Comparison, Addition and Subtraction of Numbers to 100
	Module 1: Sums and Differences to 20 Module 2: Addition and Subtraction with Length, Weight, Capacity, and Time Measurements Module 3: Place Value, Counting, and Comparison of Numbers to 1000 Module 4: Addition and Subtraction of Numbers to 1000 Module 4a: Addition and Subtraction Within 1,000 with Word Problems to 100  Module 5: Preparation for Multiplication and Division Facts Module 6: Comparison, Addition, and Subtraction with Length and Money Module 7: Recognizing Angles, Faces, and Vertices of Shapes, Fractions of Shapes
	Module 1: Properties of Multiplication and Division and Solving Problems with Units of 2–5 and 10 Module 2: Problem Solving with Mass, Time, and Capacity Module 3: Multiplication and Division with Factors of 6, 7, 8, and 9 Module 4: Multiplication and Area Module 5: Fractions as Numbers on the Number Line Module 6: Collecting and Displaying Data Module 7: Word Problems with Geometry and Measurement
	Module 1: Place Value, Rounding, and Algorithms for Addition and Subtraction Module 2: Unit Conversions and Problem Solving with Metric Measurement Module 3: Multi-Digit Multiplication and Division Module 4: Angle Measure and Plane Figures Module 5: Fraction Equivalence, Ordering, and Operations Module 6: Decimal Fractions Module 7: Exploring Multiplication
	Module 1: Place Value and Decimal Fractions Module 2: Multi-Digit Whole Number and Decimal Fraction Operations Module 3: Addition and Subtraction of Fractions Module 4: Multiplication and Division of Fractions and Decimal Fractions Module 5: Addition and Multiplication with Volume and Area Module 6: Graph Points on the Coordinate Plane to Solve Problems
	Module 1: Ratios and Unit Rates Module 2: Arithmetic Operations Including Dividing by a Fraction Module 3: Rational Numbers Module 4: Expressions and Equations Module 5: Area, Surface Area, and Volume Problems Module 6: Statistics
	Module 1: Ratios and Proportional Relationships Module 2: Rational Numbers Module 3: Expressions and Equations Module 4: Percent and Proportional Relationships Module 5: Statistics and Probability Module 6: Geometry
	Module 1: Integer Exponents and Scientific Notation Module 2: The Concept of Congruence Module 3: Similarity Module 4: Linear Equations Module 5: Examples of Functions from Geometry Module 6: Linear Functions Module 7: Introduction to Irrational Numbers Using Geometry

Para mais livros sobre currículo de matemática procurar em: link

Why the professor can't teach: Mathematics and the dilemma of university education

St. Martin's Press | 1977 

online: marco-learningsystems.com

Para mais livros sobre ensino da matemática procurar em: link

This was an incredible read, almost prophetic. Prof. Kline gets right down to and nails several issues, and suggests many solutions to the grim situation when it comes to not only undergrad math education but college education in general. I recommend at least the first half of the book to any prospective undergrad in any technical field, or any disgruntled graduate thinking of gradschool or beyond especially at a research institution. Entire text is highly recommended for anyone thinking of making a real difference in either K-12 or higher ed whether science or engineering

Contents

Preface 1
1 The Vicious Circle 6
2 The Rise of American Mathematics 17
3 The Nature of Current Mathematical Research 41
4 The Conflict Between Research and Teaching 70
5 The Debasement of Undergraduate Teaching 96
6 The Illiberal Mathematician 111
7 The Undefiled Mathematician 139
8 The Misdirection of High School Education 161
9 Some Light at the Beginning of the Tunnel:
Elementary Education 183
10 Follies of the Marketplace:
A Tirade on Texts 208
11 Some Mandatory Reforms 235
Bibliography 272

The Place of mathematics in modern education

NCTM Yearbooks, 11.º

NCTM | 1936 | 284 páginas | pdf |

online: ERIC

Para mais livros sobre currículo da matemática procurar em: link
Contents
Attacks on mathematics and how to meet them / W.D. Reeve
The reorganization of secondary education / William Betz
The meaning of mathematics / E.T. Bell
The contribution of mathematics to civilization / David Eugene Smith
The contribution of mathematics to education / Cyril Ashford
Mathematics in general education / W. Leitzmann
Mathematics as related to other great fields of knowledge / Georg Wolff
Form and appreciation / Griffith C. Evans

The exact sciences in antiquity

Otto Neugebauer

Copenhagen | 1957 - 2.ª edição

online: hathitrust.org

Para mais livros sobre história da matemática procurar em: link

Based on a series of lectures delivered at Cornell University in the fall of 1949, and since revised, this is the standard non-technical coverage of Egyptian and Babylonian mathematics and astronomy, and their transmission to the Hellenistic world. Entirely modern in its data and conclusions, it reveals the surprising sophistication of certain areas of early science, particularly Babylonian mathematics.
After a discussion of the number systems used in the ancient Near East (contrasting the Egyptian method of additive computations with unit fractions and Babylonian place values), Dr. Neugebauer covers Babylonian tables for numerical computation, approximations of the square root of 2 (with implications that the Pythagorean Theorem was known more than a thousand years before Pythagoras), Pythagorean numbers, quadratic equations with two unknowns, special cases of logarithms and various other algebraic and geometric cases. Babylonian strength in algebraic and numerical work reveals a level of mathematical development in many aspects comparable to the mathematics of the early Renaissance in Europe. This is in contrast to the relatively primitive Egyptian mathematics. In the realm of astronomy, too, Dr. Neugebauer describes an unexpected sophistication, which is interpreted less as the result of millennia of observations (as used to be the interpretation) than as a competent mathematical apparatus. The transmission of this early science and its further development in Hellenistic times is also described. An Appendix discusses certain aspects of Greek astronomy and the indebtedness of the Copernican system to Ptolemaic and Islamic methods.
Dr. Neugebauer has long enjoyed an international reputation as one of the foremost workers in the area of premodern science. Many of his discoveries have revolutionized earlier understandings. In this volume he presents a non-technical survey, with much material unique on this level, which can be read with great profit by all interested in the history of science or history of culture. 14 plates. 52 figures.

Famous geometrical theorems and problems, with their history

William Whitehead Rupert

Boston, D.C. Heath & Co. | 1900

online: 
archive.org
hathitrust.org
forgottenbooks.org

Para mais livros sobre geometria procurar em:  link

The author, having derived much pleasure and inspiration from the brief historical notes in some of the mathematical text-books that he studied when a student in college, has thought that, by giving the history of a few of the most celebrated geometrical theorems and problems, he might place a light in the window which may throw a cheerful ray adown the long and sometimes dusty pathway that leads to geometrical truth. In the preparation of this little book most valuable assistance has been derived from Florian Cajori sHistory of Mathematics, James Gows History of Greek Mathematics, and G, J. Allmans Greek Geometry from Thales to Euclid, It is, however, toW. W.Rourse Balls reniarkably interesting Short History of Mathematics that Famous Geometrical Theorems and Problems owes the largest debt. To Professor A, D. Eisenhower, Principal of the Norristown High School, George Q.Sheppard, Professor of Mathematics, Hill School, Pottstown, Pa., Dr. George M.Philips, Principal West Chester State Normal School, and Daniel Carhart, Ce., Dean and Professor of Civil Engineering, Western University of Pennsylvania, who have read this book in manuscript, the author is indebted for valuable, suggestions and many kind words of encouragement.

The Logic of Chance: An Essay on the Foundations and Province of the Theory of Probability

Macmillan And Company. | 1988

online:
archive.org
books.google

CHELSEA PUBLISHING | 1962 - 4ª edição |

online:
catalog.hathitrust.org

Procure outros livros sobre probabilidades em: link

No mathematical background is necessary to appreciate this classic of probability theory, which remains unsurpassed in its clarity, readability, and sheer charm. Its author, British logician John Venn (1834-1923), popularized the famous Venn Diagrams that are commonly used for teaching elementary mathematics. In The Logic of Chance, he employs the same directness that makes his diagrams so effective.
The three-part treatment commences with an overview of the physical foundations of the science of probability, including surveys of the arrangement and formation of the series of probability; the origin or process of causation of the series; how to discover and prove the series; and the conception of randomness. The second part examines the logical superstructure on the basis of physical foundations, encompassing the measurement of belief; the rules of inference in probability; the rule of succession; induction; chance, causation, and design; material and formal logic; modality; and fallacies. The final section explores various applications of the theory of probability, including such intriguing aspects as insurance and gambling, the credibility of extraordinary stories, and approximating the truth by means of the theory of averages.

Magic Squares - Quadrados Mágicos

Geometric magic squares : a challenging new twist using colored shapes Instead of numbers por Lee C F Sallows Idioma: Inglês   Editora: Mineola, N.Y. : Dover Publications, 2013.

Before Sudoku : the world of magic squares por Seymour S Block; Santiago Alves Tavares Idioma: Inglês   Editora: Oxford [u.a.] Oxford Univ. Press 2009

Legacy of the Luoshu : the 4,000 year search for the meaning of the magic square of order three por Frank J Swetz Idioma: Inglês   Editora: Wellesley, Mass. : A.K. Peters, ©2008.

The Zen of magic squares, circles, and stars : an exhibition of surprising structures across dimensions por Clifford A Pickover Idioma: Inglês   Editora: Princeton, N.J. : Princeton University Press, cop. 2002.

The wonders of magic squares por Jim Moran Idioma: Inglês   Editora: New York : Random Houses, 1982, ©1981.

Magic squares and cubes. por W S Andrews Idioma: Inglês   Editora: New York, Dover Publications, [1960]

Infantis

Magic squares por Colleen Adams Idioma: Inglês   Editora: New York : PowerKids Press, 2006.