The purpose of this study was to adapt the Expectancy Value Scale, Students' Motivation for Homework Scale, Homework Interest Scale, Homework Affective Attitude Scale, Math Homework Purposes Scale into Turkish and to develop the Homework Self Efficacy Scale. 1555 middle school students of 5th and 8th grades participated in the study. The students…

Evaluation in mathematics is an inherent part of the discipline. In the current study, issues in the assessment of mathematics that concern MTs and S-MTs are studied. The basic assumption for this study is that improving teachers' ability to deal with the challenges of assessment necessitates examining whether those issues are essential or…

This book addresses a problem that affects the work of all educators: how traditional methods of assessment undermine the capacity of schools to serve students with diverse cultural and social backgrounds and identities. Anchored in a commonsense notion of validity, this book explains how current K-12 assessment practices are grounded in the…

Increasingly content area projects and programs at the K-12 level, such as in mathematics, involve a programmatic component or project emphasis on developing "teacher leadership". However, there is no consistent definition or framework for this construct and even fewer validated tools for measuring it. This paper describes our efforts in…

Qualifications provide evidence of students' achievements against subject content in a specification, giving students the confidence that the skills, knowledge and understanding that they will have acquired during the course of their study provides a strong foundation for further academic and vocational study, and for employment. United Kingdom…

Previous research has documented schemes and operations that undergird students' understanding of fractions. This prior research was based, in large part, on small-group teaching experiments. However, written assessments are needed in order for teachers and researchers to assess students' ways of operating on a whole-class scale. In this study,…

Teacher cognition is seen as an important factor for the quality of instruction and, accordingly, student learning of a subject. However, in-depth research on these relations can only be done if a sound theoretical model for subject-specific teacher cognition (knowledge and competence/practical skills) and corresponding measures are available.…

There is a growing consensus that teacher evaluation in the United States is fundamentally broken. Few would argue that a system that tells 98 percent of teachers they are "satisfactory" benefits anyone--including teachers. The nation's collective failure to invest in high-quality professional feedback to teachers is inconsistent with…

Research has long been clear that teachers matter more to student learning than any other in-school factor. Improving the quality of teaching is critical to student success. Yet only recently have many states and districts begun to take seriously the importance of evaluating teacher performance and providing teachers with the feedback they need to…

In assessing the utility of a test, two issues stand out: whether it provides information of interest to test consumers, and whether scores generated by the test assist in making good decisions. Validity addresses these two issues, making an assessment of test validity the single most important product provided by test developers. Unfortunately,…

Responding to the scarcity of suitable measures of teacher knowledge, this article reports on a novel assessment approach to measuring teacher knowledge of teaching mathematics. The new approach uses teachers' ability to analyze teaching as a proxy for their teaching knowledge. Video clips of classroom instruction, which respondents were asked to…

In this paper, the authors complete the summative stage of the validity argument approach, then use their experiences to reflect on the validity argument as a method. They begin by evaluating the inferences and assumptions of the interpretive argument for the MKT measures. Then they examine both the form and the structure of the interpretive…

Validation efforts typically focus around what, exactly, is measured by an instrument(s), and whether what is measured corresponds to the theoretical domain(s) originally specified. The authors' goal for this article is to build instruments focused around measuring the mathematical knowledge used in teaching: not only the content that teachers…

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

In this article, the authors provide their critique on a set of papers that investigated Mathematics Knowledge for Teachers (MKT) assessment and the underlying theory and characteristics of the validity enterprise. Three types of assumptions and inferences--elemental, structural, and ecological--are discussed in these papers. These assumptions…