This book reports on an innovative study into the first five years of mathematics teaching: FIRSTMATH. For the first time, the study has developed a viable methodology to analyze the knowledge, skills, and dispositions of beginning mathematics teachers as well as instruments to explore the contexts where they work. The book provides a step by step account of this exploratory (proof-of-concept) research study, using a comparative and international approach, and introduces readers to the challenges entailed. The FIRSTMATH study promises the development of methods and strategies to make it possible for teacher educators and future teachers to examine (and improve on) their own practices in an important STEM area.
This book provides a unifying structure for the activities that fall under the process typically called "standard setting" on tests of proficiency. Standard setting refers to the methodology used to identify performance standards on tests of proficiency. The results from standard setting studies are critical for supporting the use of many types of tests. The process is frequently applied to educational, psychological, licensure/certification, and other types of tests and examination systems. The literature on procedures for standard setting is extensive, but the methodology for standard setting has evolved in a haphazard way over many decades without a unifying theory to support the evaluation of the methods and the validation of inferences made from the standards. This text provides a framework for going beyond specific standard setting methods to gain an understanding of the goals for the methods and how to evaluate whether the goals have been achieved. The unifying structure provided in this text considers policy that calls for the existence of performance standards, the relationship of proficiency test design to the policy, and tasks assigned to subject matter experts to help them convert the policy to estimates of locations on the reporting score scale for the test. Guidance is provided for how to connect the psychometric aspects of the standard setting process to the intentions of policy makers as expressed in policy statements. Further, the structure is used support validity arguments for inferences made when using standards. Examples are provided to show how the unifying structure can be used to evaluate and improve standard setting methodology.
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