cover -- copyright page -- title page -- Preface -- Contents -- I Programs for Middle School Teachers -- A. Pre-service Training Programs -- Preparing Middle Grades Mathematics Teachers at Georgia College & State University -- Introduction -- Georgia College & State University -- Middle Grades Program -- Assessment -- Teaching Certification -- Conclusion -- Bibliography -- Appendix A: Chords of a Circle -- The Mathematics for Middle School Teachers Program at Western Oregon University -- Introduction -- Background and Philosophy of the Program -- Mathematics Course Requirements for Middle School Teachers -- University and State Requirements -- Comparison to Elementary and High School Requirements -- Assessment -- Conclusion -- Bibliography -- Appendix A: Courses for Middle School Teachers -- Appendix B: Description of Foundation of Elementary Mathematics Series andElementary Problem Solving courses -- Appendix C: Comparative Summary of Mathematics Requirements -- Connecting Middle School Mathematics with College Mathematics: A Core of Mathematics Courses for Middle Grade Mathematics Teachers -- Introduction -- Developing a Core Mathematics Curriculum for Middle Grade Teachers -- Connecting Middle School Mathematics Curriculum with College-level Mathematics Content: Examples from Algebra and Geometry -- Effectiveness of Courses and Materials -- Concluding Remarks -- Bibliography -- The Middle School Program at the University of Wisconsin Oshkosh -- Introduction -- The Context -- The Middle School Program at UWO: An Overview -- Philosophy -- The Content Electives -- The Capstone Course -- Discussion -- Bibliography -- B. In-service Training Programs -- The Master of Arts in Middle School Mathematics Program at Salem (MA) State University -- Background: Teacher Licensure Requirements in Massachusetts -- Origins of the Program -- Program Requirements.

The Mathematics Courses -- What We Have Learned and What the Future Holds -- Resources -- Bibliography -- Appendix -- The Math in the Middle Institute: Strengthening Middle Level Teachers' Mathematical and Pedagogical Capacities -- The Institutional Context -- The Math in the Middle Institute Partnership -- The Math in the Middle Institute -- Conclusion -- Bibliography -- Appendix: Brief Descriptions of Math in the Middle Institute Courses -- A Professional Development Program for Middle School Math Teachers in Maryland -- Introduction -- Background and History -- A Master's Program in Mathematics Education for Middle School Teachers -- Goals -- Required Courses -- Algebra and Geometry for Middle School Teachers -- Other Mathematics Education Programs -- Challenges and Solutions -- Assessment, and the Future of the Program -- Bibliography -- Appendix: Course Descriptions -- II Courses for Middle School Teachers[6pt] A. Discrete Math -- Discrete Mathematics: A Course in Problem Solving for 21st Century Middle School Teachers,Tanya Cofer, Valerie A. DeBellis, Cathy Liebars, Joseph G. Rosenstein, Bonnie Saunders, and Margaret Wirth -- Introduction -- Background -- The Course Materials: Making Math Engaging Curriculum -- Examples of Course Content -- Course Formats of Established Discrete Mathematics Courses for Middle School Teachers -- Conclusion -- Bibliography -- Guided Discovery in a Discrete Mathematics Course for Middle School Teachers,Mary Flahive and Reva Kasman -- Introduction -- Course Materials -- Course Structure -- Establishing the Class Format -- Concrete Contexts for Abstract Notions -- The Student Experience -- Accessing Resources -- Concluding Remarks -- Bibliography -- Appendix: Table of Contents for the Course Notes -- B. Geometry -- Geometry for Middle Grades Teachers at Northern Kentucky University,Bethany Noblitt.

History and Philosophy of the Course -- Prerequisites -- Learning Objectives -- A Typical Class Meeting -- Content -- Assessment -- Assignments and Projects -- Conclusion -- Bibliography -- Appendix A: Additional Activities -- Appendix B: Syllabus -- II Courses for Middle School Mathematics Teachers -- A. Discrete Math -- Discrete Mathematics: A Course in Problem Solving for 21st Century Middle SchoolTeachers -- 8.1 Introduction -- 8.2 Background -- 8.3 The Course Materials: Making Math Engaging Curriculum -- 8.4 Examples of Course Content -- 8.5 Course Formats of Established Discrete Mathematics Courses for Middle School Teachers -- Conclusion -- Bibliography -- Guided Discovery in a Discrete Mathematics Course for Middle School Teachers -- Introduction -- Course Materials -- Course Structure -- Establishing the Class Format -- Concrete Contexts for Abstract Notions -- The Student Experience -- Accessing Resources -- Concluding Remarks -- Bibliography -- Appendix Table of Contents for the Course Notes -- B. Geometry -- Geometry for Middle Grades Teachers at Northern Kentucky University -- History and Philosophy of the Course -- Prerequisites -- Learning Objectives -- A Typical Class Meeting -- Content -- Assessment -- Assignments and Projects -- Conclusion -- Bibliography -- Appendix A Additional Activities -- Appendix B Syllabus -- C. Number Theory and Abstract Algebra -- A Number and Algebra Course for Middle School Math Teachers -- Introduction -- History and Background -- Detailed Course Outline -- Sample Vignettes -- Sample Resources -- Remarks on On-line Instruction and Resources Available -- Bibliography -- D. Precalculus and Calculus -- Vertically Connecting Precalculus and Calculus with Middle School Mathematics -- Format of the Courses -- Course Content -- Essential Course Elements -- Concluding Remarks -- Bibliography.

Visual College Algebra for Teachers -- Active Learning Approach -- The Visual Algebra for College Students Materials -- Sample Activities -- Assessment of Students -- Assessment of Course -- Concluding Remarks -- Bibliography -- E. Probability and Statistics -- Probability and Statistics for Prospective Middle Grades Teachers -- Introduction -- Class Activities -- Read and Study -- Connections to the Middle Grades -- Homework -- Class Projects -- Assessment -- Discussion -- Conclusion -- Bibliography -- Appendix A: List of Topics for Big Ideas in Probability and Statistics -- Appendix B: Fall 2009 Course Syllabus for Big Ideas in Probability and Statistics -- F. Combination Courses -- Vermont Middle Level Mathematics Initiative: Courses and Materials for Mathematics Educators -- Introduction -- Course Structure and Course Content -- Essential Course Elements -- Conclusion -- Bibliography -- Appendix: Formative Assessment Strategies -- Challenging Yet Accessible Mathematics Courses for Middle Level Teachers -- Mathematics as a Second Language -- Experimentation, Conjecture, and Reasoning for Middle Level Teachers -- Number Theory and Cryptology for Middle Level Teachers -- Mathematical Growth Across Courses -- Conclusion -- Bibliography -- Appendix A: Mathematics as a Second Language Course Outline -- Appendix B: Experimentation, Conjecture, and Reasoning Course Outline -- Appendix C: Experimentation, Conjecture, and Reasoning Instructor Notes -- Appendix D: Experimentation, Conjecture and Reasoning Syllabus -- Appendix E: Number Theory and Cryptology for Middle Level Teachers Course Outline -- Appendix F: Number Theory and Cryptology for Middle Level Teachers Instructor Notes.