Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…

This study examined how word-problem characteristics influenced students' learning and retention of word-problem knowledge during and after an intervention. The participants were 221 fourth-grade students (average age at pretest = 8.8 years) who experienced word-problem difficulties (WPD) and had received a word-problem intervention in third…

Purpose: This paper aims to describe the statistical arguments produced by third-grade students (8-9 years old) and to identify the teaching support for collective argumentation in a lesson based on data comparison. A Lesson Study Group researched and planned the lesson around a problem from the official mathematics textbook.…

Elementary students' difficulties with angles in geometry are well documented, but we know little about how they conceptualize angles while solving problems and how their thinking changes over time. In this study, we examined 26 third and fourth grade students completing a body-based angle task supported by the Kinect for Windows. We used…

This study reports on the statistical content of five U.S. textbook series written for elementary students in grades 1-5. The researchers examined 17,688 pages and coded 7445 statistical tasks to determine (1) the distribution of statistical topics within textbooks, and (2) the relative emphasis on the phases of the statistical problem solving…

In today's educational environment, schools struggle to meet the academic needs of every student. Many schools are challenged by the use of a response-to-intervention framework in which too many students need strong interventions. This article details a data-driven, decision-making response-to-intervention reading team model in which teachers,…

The Multi-Tiered System of Support (MTSS) framework, which uses a systems approach to promote school improvement and support all students in improving academics and behavior using data-based problem-solving, is a key part of the Wake County Public Schools System (WCPSS) Strategic Plan. As of 2017-18, MTSS schools were at the initial stages of MTSS…

The purpose of this study was to examine how school psychologists implemented the problem-solving consultation process within a computer-simulated school environment. Four school psychologists were recruited to complete three simulated consultation cases. The school environment was computer generated and all of the teachers and target students…

Creating meaningful math experiences that reach children with diverse abilities, home languages, learning styles, and backgrounds is a daunting challenge for all teachers. Primary teachers often receive little professional support for achieving this complicated task in mathematics (NCTM 2000). This article explores how five different math…

Action Potential Science Experience (APSE) is a five-day summer camp offering science opportunities for K-8 students. The focus of the APSE curriculum is to teach science concepts and methods while challenging the participants to solve an overarching problem from the popular-culture context. The participants in the APSE entitled Burger 'N Fries…

This study describes a procedure one school district used to increase students' reading abilities through reviewing data and adjusting the instruction to give students intensive services, as needed. This school worked in a problem-solving team approach to develop a comprehensive team that followed the progression of student achievement.…

Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

Using data for school improvement is a key goal of Race to the Top, and now is the time to make data-driven school improvement a priority. However, many educators are drowning in data. Boost your professional learning community's ability to translate data into action with this new book from Pam Robbins and Robert T. Hess. "The Data Toolkit"…

This session will describe the social validity, usability and intent to use of an interactive, state-of-the-art, professional development program based on the Response to Intervention (RtI) approach and its core components (e.g., problem-solving strategy; three tiers of intervention service delivery with universal, selected and intensive…

The No Child Left Behind (NCLB) Act of 2001 requires states to ensure that all students make adequate yearly progress in achieving proficiency in English language arts and math. This study examines how six diverse schools have responded to the challenge of educating their students in math, particularly students with disabilities and other…