This report presents results of teacher and student surveys on how powerful Mathematics Design Collaborative practices are shifting how teachers teach. It also summarizes student achievement data from schools using the strategies in four states. In vignettes and testimonials, teachers who completed Southern Regional Education Board (SREB)…

This groundbreaking volume encourages today's educational leaders to reposition the way they think about leadership and its challenges. Experienced school and district leaders reveal how they conceptualize their roles, how they learn by posing and solving problems of practice, and how they cope with increasing expectations and complexity in their…

A multiple case study was designed to examine the components of data literacy used by formal and informal leaders to support the work of Data Teams. Nine formal leaders and ten informal leaders constituted the participants. One overarching central question and seven subquestions guided the research. The answer to the central question, How do…

This report is the first in a series of five reports considering career-readiness features within high school assessments. Utilizing feature analysis and cognitive lab interviews, the primary objective of this study was to verify and validate the existence of specific career-readiness features in select math and English language arts (ELA) test…

Design problems are highly ill-structured, having "ambiguous specifications of goals, no determined solution path, and the need to integrate multiple knowledge domains" (Jonassen, 2000, p. 80). Design problems are generated by stakeholders to meet needs that exist outside of the classroom (Simon, 1973; Jonassen, 2000)--this is in…

Cognitive development and sociocultural theories support the role of play and peer cooperative problem solving (CPS) in children's learning and development; nevertheless, we still lack cross-cultural studies that investigate children's CPS during play in natural classroom contexts in early childhood. A nine-month field work including ethnographic…

This paper attempts to quantify the accuracy limit of "nextitem-correct" prediction by using numerical optimization to estimate the student's probability of getting each question correct given a complete sequence of item responses. This optimization is performed without an explicit parameterized model of student behavior, but with the…

The teacher-researcher spent eight weeks as a participant observer in and advanced high school mathematics class in a small town in the southeast. The process of problem-solving was introduced to all twenty students from a combined IB Math SL and AP Calculus AB class. After the pretest, three students were selected, from under-represented groups,…

This paper will focus on two students who depended on diagrammatic representations in both a Fraction Screening Test and in a subsequent Structured Interview. One student attempted to use diagrams, with limited success, to identify the correct relationships, and consequently struggled to generalise her strategies as she responded to the questions…

Measuring computational fluency, an aspect of procedural fluency, is complex. Many attempts to measure this construct have emphasised accuracy and efficiency at the expense of flexibility and appropriate strategy choice. Efforts to account for these latter constructs through assessing children's computational reasoning using structured interviews…

Perseverance, or initiating and sustaining productive struggle in the face of obstacles, promotes making sense of mathematics. Yet, engaging in struggle can be grueling and is avoided for some students. I investigate the effect of scaffolding mathematics tasks on student perseverance. The results show how prompting secondary students to…

The use of animated concept mapping (ACM) has been linked to an innovative learning skill when conducting students' guidance of 4 corresponding reasoning processes in electrochemistry. This research aims to establish a new perspective with ACM cognitive reasoning to broaden students' individual developments of problem-solving skills. It is…

This account explores the role of action learning during and after an educational programme. We focus on the final stage of a master's programme and the insider research that is a key feature in many UK universities. Researching within one's own organization should lead to individual and organizational learning. However, there is relatively little…

This paper uses a series of models to illustrate one of the fundamental processes of model building--that of enrichment and elaboration. The paper describes how a problem context is given which allows a series of models to be developed from a simple initial model using a queuing theory framework. The process encourages students to think about the…

As the new generation of designers face more complex design issues, the forms of design research start to shift towards a user-centred approach to problem-solving. The cooperation and communication among various fields and specialisations are becoming more complex; in many practical design cases, in particular, technology developers face…