The Different Dimensions of Dimensional Analysis

Checking both sides of an equation to make sure the units are right is something we tend to do as a matter of course (or should!). But as this article will try and illustrate, there is more to this routine procedure than meets the eye.     

Diagnosing Teachers’ Understandings of Rational Numbers: Building a Multidimensional Test Within the Diagnostic Classification Framework

We report a multidimensional test that examines middle grades teachers’ understanding of fraction arithmetic, especially multiplication and division. The test is based on four attributes identified through an analysis of the extensive mathematics education research literature on teachers’ and students’ reasoning in this content area. We administered the test to a national sample of 990 in‐service middle grades teachers and analyzed the item responses using the log‐linear cognitive diagnosis model. We report the diagnostic quality of the test at the item level, mastery classifications for teachers, and attribute relationships. Our results demonstrate that, when a test is grounded in research on cognition and is designed to be multidimensional from the onset, it is possible to use diagnostic classification models to detect distinct patterns of attribute mastery.     

Creating teacher capacity in Early Childhood Education and Care institutions implementing an authoritative adult style

The being together intervention intends to raise teacher capacity in Norwegian Early Childhood Education and Care (ECEC) institutions and promote social and emotional development in preschoolers by implementing an authoritative (warm and predictable) adult style in the institution. An authoritative adult balances between building up high quality interactions with children, while at the same time having a predictable structure with clear norms and social expectations in the learning environment. The purpose of this study was to investigate what helped the ECEC institutions to successfully implement the program principles and core components, and what were the challenges. The staff groups of seven Norwegian ECEC institutions in different municipalities who took part in the innovation were interviewed at the beginning and before the end of the first year of implementation. Data analysis identified five success criteria in the implementation process; strong commitment to the authoritative adult style, strong focus on the implementation process, advanced support systems, highly involved leaders, and a collective orientation. These elements resulted in a shared vision and an academically grounded practice in the ECEC institutions. Staff members without formal professional training and a lack of written documentation in the ECEC institutions should be given more consideration in further improvement of the capacity building.