Quantitative Measures of Mathematical Knowledge: Researching Instruments and Perspectives, 1st Edition (Hardback) book cover

Quantitative Measures of Mathematical Knowledge

Researching Instruments and Perspectives, 1st Edition

Edited by Jonathan Bostic, Erin Krupa, Jeffrey Shih


254 pages | 11 B/W Illus.

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Hardback: 9781138598690
pub: 2019-05-07
eBook (VitalSource) : 9780429486197
pub: 2019-04-29
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The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.

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. 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
  9. Future Directions in the Measurement of Mathematics Teachers’ Competencies – Heather Howell, Elizabeth Stone, and Michael Kane

About the Editors

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.

About the Series

Routledge Research in Education

This series aims to present the latest research from right across the field of education. It is not confined to any particular area or school of thought and seeks to provide coverage of a broad range of topics, theories and issues from around the world.

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
EDUCATION / Teaching Methods & Materials / Mathematics
EDUCATION / Testing & Measurement