Dear Preservice Middle Level Majors and Beginning Middle School Teachers: An Introduction; A Blended Multisourced Approach to Learning to Teach Middle School Mathematics; Overview of the Remaining Chapters; Getting to Know the Common Core State Standards for Mathematical Practice; Content Activity 1: Exploring and Proving Parity; The Eight Common Core State Standards for Mathematical Practice; Content Activity 2: Building a Hexagon Flower Garden Design; Problem Solving Contexts in Middle School Mathematics; Content Activity 3: Different Types of Problems in Middle School Mathematics; Representations in Middle School Mathematics; Content Activity 4: From Multiplication of Whole Numbers to Direct Proportions to Simple Linear Relationships; Connections in Middle School Mathematics; Content Activity 5: The Pythagorean Theorem and Irrational Numbers; Reasoning and Proof in Middle School Mathematics; Communication in Middle School Mathematics; Content Activity 6: Solving Multiplication Problems with Tape Diagrams; Doing Mathematics with an Eye on the Content-Practice Standards of the CCSSM; The Real Number System (Part I) from Grade 5 to Grade 6: Whole Numbers, Decimal Numbers, and Fractions; Place Value Structure of Whole Numbers and Decimal Numbers in Grade 5; Standard Algorithms for Whole Number Operations in Grades 5 and 6; A Brief Overview of the Addition and Subtraction Standard Algorithms in the Elementary Grades up to Grade 4; Multiplication Standard Algorithm in Grade 5; Division Standard Algorithm in Grade 6; Operations with Fractions; Fractions in the Elementary Grades up to Grade 4; All Cases of Adding and Subtracting Fractions in Grade 5; Multiplying Fractions in Grade 5; Dividing Fractions in Grades 5 and 6; Operations with Decimal Numbers in Grades 5 and 6; Multiplying with Decimal Numbers in Grades 5 and 6; Dividing Decimal Numbers in Grades 5 and 6; Adding and Subtracting Decimal Numbers in Grades 5 and 6; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Real Number System Part I Domain; The Real Number System (Part II) from Grade 6 to Grade 8 and Algebra 1: Integers, Rational Numbers, and Irrational Numbers; Integers and Integer Operations in Grades 6 and 7; Concepts of Positive and Negative Integers in Grade 6; Addition of Integers in Grade 7; Subtraction of Integers in Grade 7; Multiplication of Integers in Grade 7; Divisions of Integers in Grade 7; Absolute Value in Grades 6 and 7; Concept of Absolute Value in Grade 6; Absolute Value and Distance in Grade 7; Rational Numbers and Operations in Grade 6 and 7; Rational Numbers in Grade 6; Rational Number Operations in Grade 7; Decimals that Transform into Rational Numbers in Grade 7; Irrational Numbers and Operations in Grade 8 and Algebra 1; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Real Number System Part II Domain; Ratio and Proportional Relationships and Quantities; Ratio and Rate Relationships in Grade 6; Proportional Relationships in Grade 7; Graphs of Proportional Relationships from Grades 6 through 8; Quantitative Relationships in Algebra 1; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Quantities and Ratio and Proportion Domains; Technology-Mediated Tools for Teaching and Learning Middle School Mathematics; Getting to Know the TI-84+ Graphing Calculator; Getting to Know the GeoGebra Dynamic Software Tool; Getting to Know a Calculator-Based Ranger; Getting to Know Apps and Other Virtual-Based Manipulatives for Classroom Use; Understanding Technology Use in the Mathematics Classroom; Expressions and Operations; Numerical and Algebraic Expressions in School Mathematics; Writing and Simplifying Numerical Expressions in Grade 5; Greatest Common Factors, Least Common Multiples, and Simple Factoring Involving Numerical Expressions in Grade 6; Simplifying and Operating with Numerical Expressions that Involve Integer and Fractional Exponents and Numbers in Scientific Notation in Grades 6 and 8; Algebraic Expressions in Grades 6 and 7 and Algebra 1; Constructing, Simplifying, and Factoring Algebraic Expressions in Grades 6 and 7 and Algebra 1; Adding, Subtracting, Multiplying, and Factoring Polynomials in Algebra 1; Understanding Simple Nonalgebraic (Transcendental) Exponential Expressions in Algebra 1; Deepening Variable Understanding in Algebra 1; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Expressions Domain; Equations and Inequalities; Algebraic Thinking from Grades 6 to 8 and Algebra 1; Different Contexts for Using Variables from Grades 6 to 8 and Algebra 1; Solving Equations from Grades 6 to 8 and Algebra 1; Solving Inequalities from Grades 6 to 8 and Algebra 1; Word Problem Solving Applications Involving Equations and Inequalities from Grades 6 to 8 and Algebra 1; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Equations and Inequalities Domain; Functions and Models; Rules, Patterns, and Relationships in Grade 5; Dependent Variables, Independent Variables, and Quantitative Relationships in Grade 6; Unit Rates and Proportional Relationships in Grade 7; Nonsymbolic Algebra and Functions in Grade 8; Symbolic Algebra and Functions in Algebra 1; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Domains of Functions and Models; Measurement and Geometry; Quadrilaterals, Volumes of Right Rectangular Prisms with Whole-Number Edge Lengths, and the First Quadrant Coordinate Plane in Grade 5; The Four-Quadrant Coordinate Plane, Areas of Polygons, Nets and Surface Areas, and Volumes of Right Rectangular Prisms with Fractional Edge Lengths in Grade 6; Scale Drawings, Slicing, Drawing Shapes with Given Conditions, Circumference and Area of a Circle, Finding Unknown Angles in a Figure, and More Problems Involving Area, Surface Area, and Volume of 2D and 3D Objects in Grade 7; Volumes of Cylinders, Cones, and Spheres and Transformation Geometry, Congruence, Similarity, Informal Proofs, and the Pythagorean Theorem in Grade 8; Mapping the Content Standards with the Practice Standards; Developing a Content Standard Progression Table for the Measurement and Geometry Domains; Data, Statistics, Probability, and Models; Representing Data in Grades 5, 6, and 8; Analyzing Data in Grades 5, 6, 7, and 8; Statistical Modeling in Algebra 1; Probability Models and Probabilities of Simple and Compound Events in Grade 7; Mapping the Content Standards with the Practice Standard; Developing a Content Standard Progression Table for the Data, Statistics, and Probability Domains; Content-Practice Assessment; General Conceptions on Assessment; Norm- and Criterion-Referenced Tests; Principles of Effective Classroom Assessments; Formative Assessments; Summative Assessments; What are Summative Assessments?; Smarter Balanced Assessment (SBA); Projects and Portfolios as Alternative Summative Assessments; Math Journals and Lesson Investigations as Alternative Formative Assessments; Exploring Assessment Systems; An Assessment Project; Content-Practice Learning; Defining Learning; Changing Views of Learning and Their Effects in the Middle School Mathematics Curriculum; Math Wars: Debating About What and How Middle School Students Should Learn Mathematics; Understanding Piagetian and Vygotskian Views of Learning in Mathematics and Finding a Way Out of Extreme Views of Learning; Learning Progressions in School Mathematics; Learning from Neuroscience; Content-Practice Teaching; Describing (Good) Teaching; Teaching Models in Middle School Mathematical Settings; E-I-S-Driven Teaching; C-R-A Sequenced Teaching; Van Hiele Sequenced Teaching; Culturally-Relevant Teaching; SDAIE-Driven Teaching; Differentiated Instruction; Flip Teaching; Teaching with Manipulatives and Computer and Video Games and Apps; Teaching Mathematics with Guide Questions; Content-Practice Unit Planning; Content-Practice Lesson Planning; A Planning Project; Orchestrating a Content-Practice Driven Math Class; Persistence and Struggle in Math Classrooms; Fostering Persistent Content-Practice Learners; Developing Effective Collaborative Content-Practice Learning Through Complex Instruction; Other Collaborative Content-Practice Learning Techniques; Developing an Optimal Content-Practice Learning Environment for all Middle School Students; Dealing with Potential Behavior Problems; Assigning Homework, Grading and Testing, and seating Arrangement Issues; A Classroom Management Plan Project.
