Intelligent tutors have become increasingly accurate at detecting whether a student knows a skill, or knowledge component (KC), at a given time. However, current student models do not tell us exactly at which point a KC is learned. In this paper, we present a machine-learned model that assesses the probability that a student learned a KC at a…

Background: A federally-funded program at the University of Texas at San Antonio adopted a holistic problem solving mentoring approach for novice teachers participating in an accelerated teacher certification program. Aims/focus of discussion: To investigate a novice teacher's problem-solving activity through self-expression of challenges and…

Response to Intervention (RtI) has promise for helping students, particularly ones with disabilities, achieve higher levels of academic and behavioral success in the general education classroom. What does it mean for gifted students or for those who are gifted and have a learning disability, such as twice-exceptional students? How might current…

The newly revised mathematics curriculum in Singapore has recently factored Applications and Modelling to be part of the teaching and learning of mathematics. Its implication is that even children should now be involved in works of mathematical modelling. However, to be able to implement modelling activities in the primary mathematics classroom,…

This article describes a psychoanalytic consultation model to an independent grade 7-12 school that offers a practical and efficient approach to improve school climate. This model may stand alone or complement other approaches, and it can be implemented in both independent and public school settings. It focuses not only on "at risk" students,…

How do we model and improve technical problem solving, such as network subnetting? This paper reports an experimental study that tested several hypotheses derived from Kolb's experiential learning cycle and Huber's problem solving model. As subjects solved a network subnetting problem, they mapped their mental processes according to Huber's…

The teacher leaders and school administrators at Nipher Middle School in Kirkwood, Missouri, have recently embraced a new set of strategies for supporting learning for all students. During the weekly problem-solving conversations that are a part of their response-to-intervention model, it became evident that clusters of students with unique and…

Professionally developed and freely accessible through the Internet, scientific data maps have great potential for teaching and learning with data in the science classroom. Solving problems or developing ideas while using data maps of Earth phenomena in the science classroom may help students to understand the nature and process of science. Little…

This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…

This project is one of four that were issued to first semester sophomore undergraduates at the United States Military Academy as part of an integrated learning experience at the end of their Calculus II course work. This project was used during a short, seven lesson block of instruction that was intended to capitalize on their recent academic…

The authors of this article were brought together by a common goal: enhancing consultation skills during internship year. As the concluding experience of preservice training, the school psychology internship provides an opportunity for trainees to move from novice levels of skill awareness and limited application toward more competent practice.…

The objective of this research was to better understand the transfer of learning between different variations of pre-algebra problems. While the authors could have addressed a specific variation that might address transfer, they were interested in developing a general model of transfer, so we gathered data from multiple problem types and their…

Although literature is available on the theoretical models of consultation underpinning service delivery in educational psychology services, little research has been published on the application of these models to educational psychologist (EP) consultation practice with teachers in schools. This study explores the espoused theory of consultations…

This study examined how instructional design (ID) experts used their prior knowledge and previous experiences to solve an ill-structured instructional design problem. Seven experienced designers used a think-aloud procedure to articulate their problem-solving processes while reading a case narrative. Results, presented in the form of four…

Teaching and learning fractions has traditionally been one of the most problematic areas in primary school mathematics. Several studies have suggested that one of the main factors contributing to this complexity is that fractions comprise a multifaceted notion encompassing five interrelated subconstructs (i.e., part-whole, ratio, operator,…