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Quantitative Measures of Mathematical Knowledge
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Table of Contents

  1. Validation in Mathematics Education: An Introduction to Quantitative Measures of Mathematical Knowledge: Researching Instruments and Perspectives - Erin E. Krupa, Jonathan Bostic, and Jeff Shih
  2. The Form of Mathematics in Assessment Items: How Items Convey and Measure Multiplicative Reasoning Differently - Karl W. Kosko
  3. Substantiating claims about students' algebraic reasoning: Initial evidence based on response processes and internal structure - Lindsey Perry, Leanne R. Ketterlin-Geller, and Cassandra Hatfield
  4. A Validation Approach to Middle-grades Learning Trajectories within a Digital Learning System applied to the "Measurement of Characteristics of Circles" - Jere Confrey and Emily Toutkoushian
  5. Assessing college-ready data-based reasoning - Amy Arneson, Diah Wihardini, and Mark Wilson
  6. A Validity Argument for an Undergraduate Mathematics Concept Inventory - Kathleen Melhuish and Michael D. Hicks
  7. Developing a construct map for teacher attentiveness - Michele Carney, Tatia Totorica, Laurie Cavey, and Patrick R. Lowenthal
  8. A validation process for complex knowledge: The Standards for Mathematical Practice Konwledge-Gabriel Matney, Jonathan D. Bostic, and Mathew Lavery
  9. Reflecting on the past and looking ahead at opportunities in quantitative measurement of K-12 students' content knowledge - Jonathan Bostic, Erin Krupa, Michele Carney, and Jeff Shih
  10. Future Directions in the Measurement of Mathematics Teachers' Competencies - Heather Howell, Elizabeth Stone, and Michael Kane

About the Author

Jonathan Bostic is an associate professor of mathematics education at Bowling Green State University, USA. Erin Krupa is an assistant professor of mathematics education at North Carolina State University, USA. Jeffrey Shih is an associate professor of mathematics education at the University of Nevada, Las Vegas, USA.

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