ABSTRACT
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
chapter 1|13 pages
Validation in Mathematics Education
An Introduction to Quantitative Measures of Mathematical Knowledge: Researching Instruments and Perspectives
chapter 2|27 pages
The Form of Mathematics in Assessment Items
How Items Convey and Measure Multiplicative Reasoning Differently
chapter 3|26 pages
Substantiating Claims About Students’ Algebraic Reasoning
Initial Evidence Based on Response Processes and Internal Structure
chapter 8|26 pages
A Validation Process for Complex Knowledge
The Standards for Mathematical Practice Knowledge Assessment