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Making the Connection 
$35.00 









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Part I. Student Thinking 




1a. Foundations for Beginning Calculus 




1. On Developing a Rich Conception of Variable 
$7.00 

$8.50 
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2. Rethinking Change 
$7.00 

$8.50 

3. Foundational Reasoning Abilities that Promote Coherence in Students’ Function Understanding 
$7.00 

$9.00 

4. The Concept of Accumulation in Calculus 
$7.00 

$8.50 

1b. Infinity, Limit and Divisibility 




5. Developing Notions of Infinity 
$7.00 

$8.50 

6. Layers of Abstraction: Theory and Design for the Instruction of Limit Concepts 
$7.00 

$9.00 

7. Divisibility and Transparency of Number Representations 
$7.00 

$8.50 

1c. Proving Theorems 




8. Overcoming Students’ Difficulties in Learning to Understand and Construct Proofs 
$7.00 

$8.75 

9. Mathematical Induction: Cognitive and Instructional Considerations 
$7.00 

$8.75 

10. Proving Starting from Informal Notions of Symmetry and Transformations 
$7.00 

$8.75 

11. Teaching and Learning Group Theory Teaching for Understanding: A Case of Students’ Learning to Use the Uniqueness Theorem as a Tool in Differential Equations 
$7.00 

$8.75 

12. Teaching for Understanding: A Case of Students’ Learning to Use the Uniqueness Theorem as a Tool in Differential Equations 
$7.00 

$8.50 

Part 2. CrossCutting Themes 




2a. Interacting with Students 




13. Meeting New Teaching Challenges: Teaching Strategies That Mediate Between All Lecture and All Student Discovery

$7.00 

$8.50 

14. Examining Interaction Patterns in CollegeLevel Mathematics Classes: A Case Study

$7.00 

$8.50 

15. Mathematics as a Constructive Activity: Exploiting Dimensions of Possible Variation

$7.00 

$8.50 

16. Supporting High Achievement in Introductory Mathematics Courses: What We Have Learned from 30 Years of the Emerging Scholars Program 
$7.00 

$9.00 

2b. Using Definitions, Examples and Technology 




17. The Role of Mathematical Definitions in Mathematics and in Undergraduate Mathematics Courses

$7.00 

$8.50 

18. ComputerBased Technologies and Plausible Reasoning 
$7.00 

$8.50 

19. Worked Examples and Concept Example Usage in Understanding Mathematical Concepts and Proofs 
$7.00 

$9.00 

2c. Knowledge, Assumptions, and Problem Solving Behaviors for Teaching 




20. From Concept Images to Pedagogic Structure for a Mathematical Topic 
$7.00 

$9.25 

21. Promoting Effective Mathematical Practices in Students: Insights from Problem Solving Research

$7.00 

$8.75 

22. When Students Don’t Apply the Knowledge You Think They Have, Rethink Your Assumptions about Transfer

$7.00 

$9.00 

23. How Do Mathematicians Learn To Teach? Implications from Research on Teachers and Teaching for Graduate Student Professional Development 
$7.00 

$8.75 
