This article illustrates and differentiates the unique role cognitive interviews and think-aloud interviews play in developing and validating assessments. Specifically, we describe the use of (a) cognitive interviews to gather empirical evidence to support claims about the intended construct being measured and (b) think-aloud interviews to gather…

Pupils' difficulties in solving word problems continue to attract attention: while researchers highlight the importance of relational reasoning and modelling, school curricula typically use short word problems to develop pupils' knowledge of arithmetic operations and calculation strategies. The Relational Paradigm attributes the leading role in…

The important role that metacognition plays as a predictor for student mathematical learning and for mathematical problem-solving, has been extensively documented. But only recently has attention turned to primary grades, and more research is needed at this level. The goals of this paper are threefold: (1) to present metacognitive framework during…

The purpose of this study was to explore the variations in students' achievement on computational fluency assessments and variations in strategies for solving computation problems. Computational fluency was defined as a student's ability to compute flexibly, accurately, efficiently, and appropriately. Seven- and eight-year-old students completed…

This report provides an overview of the development, implementation, and psychometric properties of a student mathematics interview designed to assess first- and second-grade student achievement and thinking processes. The student interview was conducted with 622 first- or second-grade students in 22 schools located in two public school districts…

This research explores the implementation of a school-wide intervention program that was designed to foster and instill intrinsic values based on an external reward system. The Positive Behavior Support in Schools (PBSIS) is an intervention intended to improve the climate of schools using system-wide positive behavioral interventions to discourage…

The purpose of this qualitative study was to provide empirical evidence of the extent to which the types of tasks recommended by Sheffield for eliciting characteristics of mathematical promise allowed for the manifestation of these characteristics in primary-grade students within a problem-based learning (PBL) context. Data included student work…

Participants in this study were asked to report what strategies were most often used in their attempts to foster their students' problem solving abilities. Participants included 70 second through fifth-grade elementary teachers from 42 schools in a large state of the south central region in the U.S. Data analyses of the interviews revealed that…

Secondary level or Tier 2 interventions such as the Check-in Check-out (CICO) intervention effectively reduce problem behaviors of students who are non-responsive to school-wide interventions. However, some students will not be successful with Tier 2 interventions. This study investigated the effects of adding individualized function-based support…

Gender is a critical social factor influencing how children view the world from very early childhood. Additionally, during the early elementary years, parents can have a significant influence on their child's behaviors and dispositions in fields such as science. This study examined the influence of parent gender and child gender on 2nd- and…

The call for effective instructional and classroom management is frequent within the professional literature. However, type, amount, and sequence of strategies sufficient to impact rates of problem behavior are often missing or listed with limited guidance on differentiation based on student pattern of problem behavior. The purpose of this study…

This paper investigates the power of the computer guided clinical interview (CI) and new curriculum based measurement (CBM) measures to identify and help children at risk of low mathematics achievement. We use data from large numbers of children in Kindergarten through Grade 3 to investigate the construct validity of CBM risk categories. The basic…

Understanding contingency table analysis is a facet of mathematical competence in the domain of data and probability. Previous studies have shown that even young children are able to solve specific contingency table problems, but apply a variety of strategies that are actually invalid. The purpose of this paper is to describe primary school…

Recently, over 40 states in the United States adopted the Common Core State Standards for Mathematics (CCSSM) which include standards for content and eight standards for mathematical practices. The purpose of this study was to better understand the nature of young children's mathematical practices through an exploratory examination of the…

To better understand the role that ways of reasoning play in students' success on integer addition and subtraction problems, we examined the relationship between students' flexible use of ways of reasoning and their performance on integers open number sentences. Within groups of students in 3 participant groups--39 2nd and 4th graders who had…