This study is a phenomenological analysis of the experiences of members of an Individualized Education Plan (IEP) team when an appreciative approach is taken during the IEP process in a middle school in rural New England. The specific phenomenon studied is individuals' experience when student strengths are discussed explicitly as an IEP is…

Assessments built on a theory of learning progressions are promising formative tools to support learning and teaching. The quality and usefulness of those assessments depend, in large part, on the validity of the theory-informed inferences about student learning made from the assessment results. In this study, we introduced an approach to address…

Units Coordination and Covariational Reasoning are powerful frameworks for modeling students' mathematics in arithmetic reasoning and construction of relationships between changing quantities, respectively. This case study of an advanced stage 2, 8th-grade algebra student, Daniel, investigated connections between his units coordination and…

This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

Significant attention is being paid to how assessments aligned to learning trajectories (LTs) can be used as a means to locate students' progress in learning big ideas in mathematics over time. Furthermore, data from LT-aligned assessments have been signaled as key to driving student-centered instruction on a day-to-day basis. For LTs and…

Math anxiety (MA) and math performance are generally negatively correlated (Barroso et al., 2021; Namkung et al., 2019). However, the mechanisms underlying this negative association remain unclear. According to the attentional control theory (ACT; Eysenck et al., 2007), anxious individuals experience impaired attentional control during problem…

Background: The development of learning attitudes during middle school transition and adaptation is critical, as shown by Self-Determination Theory (SDT). However, the development of adolescents' learning attitudes throughout middle school and the impact of parenting styles on this development remains largely unexplored. Objective: This research…

We report on an innovative design of algorithmic analysis that supports automatic online assessment of students' exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic…

In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…

The purpose of this mixed-methods study was to explore the feasibility, acceptability, and preliminary effectiveness of a Tier 2 classroom-based motivational interviewing (MI) intervention--the Aspire Group Intervention (AGI)--designed for ninth-grade students identified as being at high risk for school dropout. The nine-lesson AGI curriculum was…

This study aims to design multimedia materials to be used in career counseling and to test their effects on self-efficacy and learning. Multimedia Learning Theory and Cognitive Load Theory were used in the study as a theoretical framework. The students were provided to recognize their personality traits (interests and abilities) and almost 50…

Teachers must meet a variety of students' mathematics learning needs but are often not trained to do so. Little is known about how teachers perceive their efficacy to meet diverse math learning needs. The purpose of this qualitative collective case study was to explore teacher attitudes and perceptions of professional development (PD) and…

This article presents theoretical knowledge, sample activities, and reflections from the implementation process on how teachers can benefit from the Variation Theory to help students enhance their mathematical comprehension. In this context, "congruence of triangles" was conceptualized as an object of learning. Critical aspects were…

Over half a century has passed since Bruner suggested his three-stage enactive-iconic-symbolic model of instruction. In more recent research, predominantly in educational psychology, Bruner's model has been reformulated into the theory of instruction known as concreteness fading (CF). In a recent constructivist teaching experiment investigating…

English listening multimedia teaching courseware has the characteristics of both illustration and text, sound, and shape and provides a variety of possibilities for modern English listening teaching methods. Considering students' unique psychological characteristics such as strong self-awareness, physiological characteristics such as strong…