Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting…

At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…

This study aims to develop a semiotic declarative knowledge model, which is a positive constructive behavior model that systematically facilitates understanding in order to ensure that learners think accurately and ask the right questions about a topic. The data used to develop the experimental model were obtained using four measurement tools…

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 study investigates the impact of teacher characteristics and instructional strategies on the mathematics achievement of students in kindergarten and first grade and tackles the question of how best to use longitudinal survey data to elicit causal inference in the face of potential threats to validity due to nonrandom assignment to treatment.…

In Thailand, the Center for Research in Mathematics Education (CRME) has been implementing Japanese Lesson Study (LS) since 2002. An adaptive feature of this implementation was the incorporation of four phases of the Open Approach as a teaching approach within the three steps of the LS process. Four phases of this open approach are: 1) Posing…

This paper highlights the Indonesian's road transportation contexts, namely, angkot, that used in learning and teaching of addition and subtraction in first grade and second grade MIN-2 Palembang. PMRI approach that adopt from RME [Realistic Mathematics Education] was used in this design research. From teaching experiment was founded that the…

"Number Talks" is: (1) A five- to fifteen-minute classroom conversation around purposefully crafted computation problems that are solved mentally; and (2) The best part of a teacher's day. Whether you want to implement number talks but are unsure of how to begin or have experience but want more guidance in crafting purposeful problems, this…

The purpose of this article is to describe research-based reading intervention within a Response-to-Intervention (RTI) model, using prevention science as a context. First, RTI is defined and a rationale is provided for its use in improving the reading performance of all students, particularly those students identified as at risk for…

Reading Recovery (RR) is a widely used first grade intervention program for students who are struggling with literacy skills. With its component strategies, teacher training, high degree of fidelity of treatment, specified timeline, and cut-off score defining which students have succeeded, RR fits the problem-solving approach of the…

Including gesture in instruction facilitates learning. Why? One possibility is that gesture points out objects in the immediate context and thus helps ground the words learners hear in the world they see. Previous work on gesture's role in instruction has used gestures that either point to or trace paths on objects, thus providing support for this…

Two general models exist for implementing Response to Intervention (RtI) for struggling students, the standard protocol model and the problem-solving model. This study examined the long-term outcomes of one example of the problem-solving method, the Instructional Support Team (IST), in a field setting. Academic records of 32 students were reviewed…

In this volume, highly regarded authors in the field of reading research share what they know about today's hottest topic in education--Response to Intervention (RTI), the key to helping struggling students "before they fall behind." More than 30 expert contributors reveal what the latest research says about RTI's Three-Tier Approach:…