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

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

Mathematics Counts: Report of the Committee of Inquiry into the Teaching of Mathematics in Schools

Dept.of Education & Science 

1982 |  328 páginas

online: educationengland.org.uk

scribd.com

On the Shoulders of Giants: New Approaches to Numeracy

Lynn Arthur Steen

National Academy Press | 1990 | 144 Páginas | PDF

Link on-line: nap.edu
eric.ed.gov

archive.org

alguns capítulos on-line:
- Pattern pdf 1 pdf 2
Lynn Arthur Steen
- Dimension
Thomas F. Banchoff
- Quantity
James T. Fey
- Uncertainty
David S. Moore
- Shape
Marjorie Senechal pdf 1 pdf 2 pdf 3 pdf 4 pdf 5pdf 6
- Change
Ian Stewart

Forces created by the proliferation of computer hardware and software, by innovative methods of mathematical modelling and applications, by broader demographic considerations, and by schools themselves are profoundly changing the way mathematics is practiced, the way mathematics is taught, and the way mathematics is learned. In this volume, a vision of the richness of mathematics is expressed and illustrated as five different possible strands of school mathematics through the expansion on the theme of mathematics as the language and science of patterns with emphases on interconnections and communalities. Included are: (1) an introduction to the five sample strands with examples of the continuity underlying the fundamentals of mathematics, of the mathematical connections that both unite and repeat, and of the mathematical perspective necessary to view both the variety and the regularity of patterns; (2) the Dimension strand, which focuses on the development of relationships between the different dimensions with emphasis on three-dimensional topics; (3) the Quantity strand, which provides insights into the three basic tasks of measuring, ordering, and coding with attendant symbologies and procedures; (4) the Uncertainty strand, which develops ideas about the natural themes and strategies within the twin concepts of data and chance; (5) the Shape strand, which uses classification to discover similarities and differences among objects, analysis to discern the components of form, and representation to recognize and comprehend shapes within different contexts; and (6) the Change strand, which advocates imaginative and sensitive responses to the constantly emerging new types of patterns, including patterns of thinking about nature, as well as mathematics.