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.
Validation in Mathematics Education: An Introduction to Quantitative
Measures of Mathematical Knowledge: Researching Instruments and Perspectives
Erin E. Krupa, Jonathan Bostic, and Jeff Shih
The Form of Mathematics in Assessment Items: How Items Convey and Measure
Multiplicative Reasoning Differently Karl W. Kosko
Substantiating claims about students algebraic reasoning: Initial evidence
based on response processes and internal structure Lindsey Perry, Leanne R.
Ketterlin-Geller, and Cassandra Hatfield
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
Assessing college-ready data-based reasoning Amy Arneson, Diah Wihardini,
and Mark Wilson
A Validity Argument for an Undergraduate Mathematics Concept Inventory
Kathleen Melhuish and Michael D. Hicks
Developing a construct map for teacher attentiveness Michele Carney, Tatia
Totorica, Laurie Cavey, and Patrick R. Lowenthal
A validation process for complex knowledge: The Standards for Mathematical
Practice Konwledge-Gabriel Matney, Jonathan D. Bostic, and Mathew Lavery
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
Future Directions in the Measurement of Mathematics Teachers Competencies
Heather Howell, Elizabeth Stone, and Michael Kane
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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